If f is an always positive, differentiable function and y = ln(f(sin x)), what is y’ when x=4 ?

Answers

Answer 1

Answer:

cos(4) f'(sin 4)/f(sin 4) is y' at x=4

Step-by-step explanation:

We can't actually find the numerical value for this without more information.

We are given:

y=ln(f(sin x))

This is equivalent to

e^y=f(sin x)

Differentiate both sides:

y' e^y=cos(x) f'(sin x)

Divide both sides by e^y:

y' =cos(x) f'(sin x)/e^y

Rewrite in terms of x using that e^y=f(sin x):

y' =cos(x) f'(sin x)/f(sin x)

Now replace x with 4:

cos(4) f'(sin 4)/f(sin 4) is y' at x=4


Related Questions

Suppose that the functions r and s are defined for all real numbers x as follows.
r(x)=x+3
s(x) = 2x
Write the expressions for (r-s) (x) and (-s) (x) and evaluate (r+s) (-1).

Answers

Step-by-step explanation:

as explained in the other question : when applying an arithmetic operation on functions, you are applying it on the functional expressions.

(r*s)(x) = (x+3)*(2x²) = 2x³ + 6x²

(r-s)(x) = (x+3) - (2x²) = -2x² + x + 3

(r+s)(-1) = (-1 + 3) + (2×(-1)²) = 2 + 2×1 = 4

Can anyone help me with this

Answers

Answer:

12

Step-by-step explanation:

Answer:

4

very simple algebric question...hope its help you

-
6 less than the product of a number and 3 is -18.. What is the
number?

Answers

Answer:X= -4

Step-by-step explanation:

6 less than the product of a number and 3 is -18.

Make each part of the sentence into numbers:

"the product of a number and 3":  becomes X*(3), where X is the "number."

"6 less than":  is -6, so we have:

X*(3) - 6

"is -18"  means = -18

Put the segments into one equation and solve:

X*(3) - 6 = -18

3X-6=-18

3X = -12

X = -4

====

See if this works:  If X=-4, then the product of it and 3 is -12.  Six less than -12 is -18.  And that is correct.  X= -4

Mai is making personal pizzas. For 4 pizzas, she uses 10 ounces of cheese. How much does she use on 1 pizza. How much does she use on 15 pizzas.

Answers

Answer:

32.5

Step-by-step explanation:

10 ounces is in 4 pizzas so if we want 15 pizzas we need to count up

4 can not fit into 15 so we have to stop at 12 pizzas.

Now we need to add 3 pizzas

:Note: that one pizza is 2.5 of an ounce  out of 10 ounces

so after you add the 3 pizzas you have 15 but that wasnt 4 pizzas so you have 2.5 ounces left over you add those ounces to the 30 you got from the 12 ounces which you have 30 and add it to the ounces left over

2.5 + 30 = 32.5

What happens if I find the sum of two even numbers

Answers

I don't know what you mean by this but you'll just get a value larger than the two sums that you added

5 + 7 = 12

3 + 4 = 7

Answer:

The sum will always be even

Step-by-step explanation:

Conor earns $9 an hour for yard work. He raked leaves one afternoon and earned $29.25.
How much does Conor earn for each minute he does yard work?
Hint: There are 60 minutes in 1 hour.

Answers

29.25 divided by 9 is 3.25. You have to take the total amount of money he made $29.25 and divide it by the amount he gets every hour $9. So 29.25 divided by 9 is 3.25 or 3 hours and 15 minutes.

Answer:

15 cents a minute

Step-by-step explanation:

9 ÷ 60 = $0.15

PLEASE HELP!!!!


The graph below shows the time it takes Michael to solve 30 multiplication
flash cards over 7 attempts. In which attempts did he improve by more than 8
seconds from the previous attempt? Check all that apply.



Answers

Answer:

I think it's 2 and 5

Step-by-step explanation:

I hope this helps

Answer:

4,6,2,7

Step-by-step explanation:

plz help will mark as brainliest​

Answers

Step-by-step explanation:

18 cm is the correct answer

PLEASE HELP ME AND NOT JUST ANSWER FOR POINTS!!!

Answers

But what’s you problom?

An ice cream truck sells ice cream between 2 p.m. and 10 p.m. each night in the summer. At the end of the night, the driver calculates his profits and makes a graph to analyze the data. What is the average rate of change for the from the 1st hour to the 4th hour? Be sure to include the correct units of measurement

Answers

The rate of change is in Y over the change in X.

Y is the dollar amount at 4 is 78 at 1 it is 54, the change is 78 - 54 = 24.

X is the time the change from 4 to 1 is 3 ( 4 - 1 = 3)

The rate of change is 24 / 3 = 8.

The answer is 8 dollars per hour.

An ice cream truck sells ice cream between 2 p.m. and 10 p.m. each night in the summer. the average rate of change from the 1st hour to the 4th hour is 8.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

An ice cream truck sells ice cream between 2 p.m. and 10 p.m. each night in the summer.

At the end of the night, the driver calculates his profits and makes a graph to analyze the data.

The rate of change is in Y over the change in X.

Y is the dollar amount at 4 = 78 ,

at 1 = 54

the change is 78 - 54 = 24.                                        

X is the time the change from 4 to 1 = 3

The change is ( 4 - 1 = 3)

The rate of change = 24 / 3 = 8.

Therefore, The answer is 8 dollars per hour.

Learn more about the unitary method;

https://brainly.com/question/23423168

#SPJ2

A new bank customer with ​$3,000 wants to open a money market account. The bank is offering a simple interest rate of 1.3% How much interest will the customer earn in 30 years

Answers

Answer: 117,000

The formula for simple interest is A=P(1+rt)
A is the final amount
P is the initial amount
r is the rate
t is the amount of time

If you plug the information given into the formula:

3,000(1+1.3•30)=120,000

3,000 is the initial amount
1.3 is the rate
30 is the amount of time
120,000 is the final amount

The question asks how much interest the customer will earn, not what the final amount in the account will be.

Given that, you would subtract the initial amount to find out how much the customer earned.

120,000-3,000=117,000

hope this helps!

Find the perimeter. Simplify your answer.

Answers

Answer:

22w - 18  

Step-by-step explanation:

To find the perimeter we have to add up all the sides

10w-10+w+1+10w-10+w+1

combine light terms

22w - 18 would be our answer

Brainliest please

Solve the equation. Linear Equations:Variable on Both Sides

-7x-3x+2=-8x-8

Solve it step by step​

Answers

You will need to combine like terms

A train goes at a constant speed. It can travel 150 miles in 2 1/2 hours. How long would it travel in 2 hours?

Answers

150 / 2.5
60 miles per hour
60 X 2 = 120
120 miles in 2 hrs

Awnser this for brainliest

Answers

The distance from the sun is around 2,795,200,200 miles
Distance traveled in one complete orbit of the sun (one “year”) would be around 17,562,300,000 miles
hope this helps

A youth group went on trip to EXPO Dubai Travelling in two Vans. The number of people in each van and the total cost of admission are shown in the table. Find the adult price and student price of admission

Answers

Answer:

Refer to the attachment

A = Adult B = Student

Soo :

2a + 3b = 325

2a + 7b = 505 -

-4b = -180

4b = 180

b = 45

[tex] \: [/tex]

2a + 3b = 325

2a + 3(45) = 325

2a + 135 = 325

2a = 325 - 135

2a = 190

a = 95

How many solutions does |3x + 1| = -5 have?
need to know answer asp

Answers

Answer:

0

Step-by-step explanation:

Absolute values can't have negatives as answer. Useful tip, If there is a negative as an answer for absolute value, there is no solution, if it has 0 as an answer, there is 1 solution, and if it has a positive as answer, then it will have 2 solutions.

What is the equation of the given line in standard form? Use integer coefficients.
y=-1.7x + 8.5

A.)17x + 10y = 85
B.)-17x + 10y = 85
C.)-17x + 10y = -85
D.)17x+10y = -85

Answers

Answer:

A

Step-by-step explanation:

y = - 1.7x + 8.5 ( add 1.7x to both sides )

1.7x + y = 8.5 ( multiply through by 10 )

17x + 10y = 85 → A

find the final amount when 10500 is invested at 9% simple interest for 4 years

Answers

Answer:

3780

Step-by-step explanation:

10500 x 9% x 4 divided by 100=3780

si el largo de un rectangulo es 2 cm más que el ancho y tiene un perimetro de 52 cm cual es el largo y cual es el ancho?

Answers

Answer:

ancho: 12 cm

Largo: 14 cm

Step-by-step explanation:

[tex]P=2a+2l[/tex]

[tex]l=a+2[/tex]

[tex]P=2a+2(a+2)=2a+2a+4[/tex]

[tex]P=4a+4[/tex]

[tex]52=4a+4[/tex]

[tex]52-4=4a[/tex]

[tex]48=4a[/tex]

[tex]48/4=a[/tex]

[tex]12=a[/tex]

largo = ancho + 2 = 12 +12 = 14 cm

Hope this helps

In an experiment, the temperature of a sample is measured as 16 degrees Celsius. If the percent error is 0.75%, how can you report the temperature of the sample using the absolute error and the actual temperature value in degrees Celsius?

Answers

Answer: T=16 ± 0.12 ° CA Aw

Step-by-step explanation:

A shark is 205 feet below sea level, it rises 80 feet towards sea level, then 25 points
drops 40 feet. What is the current elevation?
Captionless Image

Answers

Answer:

165 feet below sea level.

Step-by-step explanation:

205 - 80 = 125

125 + 40 = 165

Find the surface area of each prism

Answers

Answer:

3.  SA =  876 [tex]in^{2}[/tex]

4.  SA =  161 [tex]ft^{2}[/tex]

Step-by-step explanation:

       Number 3.

To find the total Surface Area, we need to know all the side lengths which are used to multiply to find the Area of each side. Then add the areas of all the sides to get the total SA.

       To find side lengths:

Assuming the back triangle (24, 10 in) is congruent to the front triangle (26in.): First, Knowing the Pythagorean triples or the Pythagorean theorem, we can conclude that the short bottom leg in the triangle on the right (6, 10, x in) is     8 in.                                                                                                               Secondly, to find the leg of the triangle with a hypotenuse of 24 inches, we subtract: 26 - 8 = 18 in.

Now we know all the (needed) side lengths.

       To find the Surface Area:

Total SA  =  (12 x 26) + (12 x 24) + (12 x 10) + 2 x ((6 x 18 x 0.5) + (6 x 8 x 0.5))

               =  312 + 288 + 120 + 2 x (54 + 24)  =  720 + (2 x 78)

               =  876 [tex]in^{2}[/tex]

       Number 4.

Same Idea: To find the Total SA, we need to know all the side lengths which are used to multiply to find the Area of each side. Then add the areas of all the sides to get the total SA.

Assuming the back triangle (7ft) is congruent to the front triangle (5x5 ft), then in this case, we already know all the needed side lengths.

       To find the Surface Area:

Total SA  =  2 x (8 x 5) + 2 x (5 x 5 x 0.5) + (7 x 8)

               =  80 + 25 + 56

               =  161 [tex]ft^{2}[/tex]


12. Carter has 3 statues of various sizes in his garden. Statue A is one foot taller than
Statue B. Statue C is one-half of a foot taller than Statue B.
13
Let x represent the height of Statue B. Write expressions to represent Statue A and
Statue C.
Statue A
Statue B
Х
Statue C
14 If the total combined height of the 3 statues is 34.5 inches, find the height of
Statue B.

Answers

Answer: B is 11 feet tall

A=x+1 since A is one more than B

C=x+1/2 since C is one half more than B

B=x since B is just B

A+B+C=34.5

x+1+x+x+1/2=34.5

3x+1.5=34.5

3x=33

x=11

B is 11 feet tall

Use the information given in the figure to find the length SU.
If applicable, round your answer to the nearest whole number.
The lengths on the figure are not drawn accurately.

Answers

Answer:

We'll calculate ru:

RU^2 = 65^2 - 52^2

RU^2 = 1,521

RU = 39

SU^2 = 89^2 -39^2

SU^2 = 7,921 - 1,521

SU^2 = 6,400

SU = 80

Step-by-step explanation:

Which pairs of numbers are equivalent?

Select each correct answer.


15/8 and 1 7/8

35/4 and 8 3/4

23/6 and 4 1/6

11/4 and 2 1/2

40/12 and 3 1/3
i need this fast

Answers

Answer:

4 an 5

Step-by-step explanation:

Answer:

15/8 and 1 7/8

35/4 and 8 3/4

40/12 and 3 1/3

Step-by-step explanation:

15/8 and 1 7/8:

Convert the improper fraction into a mixed number: [tex]\frac{8+7}{8}[/tex]

Calculate the sum or difference: [tex]\frac{15}{8}[/tex]

Check equivalency: True

Answer: True

=================================================================

35/4 and 8 3/4

Convert the improper fraction into a mixed number:  [tex]\frac{8*4+3}{4}[/tex]

Calculate the product or quotient: [tex]\frac{32+3}{4}[/tex]

Calculate the sum or difference: [tex]\frac{35}{4}[/tex]

Check equivalency: True

Answer: True

================================================================

23/6 and 4 1/6

Convert the improper fraction into a mixed number: [tex]\frac{4*+1}{6}[/tex]

Calculate the product or quotient: [tex]\frac{24+1}{6}[/tex]

Calculate the sum or difference: [tex]\frac{25}{6}[/tex]

Check equivalency: False

Answer: False

===============================================================

40/12 and 3 1/3

Reduce the fraction: 10/3

Convert the improper fraction into a mixed number: [tex]\frac{3*+1}{3}[/tex]

Calculate the product or quotient: [tex]\frac{9+1}{3}[/tex]

Calculate the sum or difference: [tex]\frac{10}{3}[/tex]

Check equivalency: True

Answer: True

================================================================

11/4 and 2 1/2

Convert the improper fraction into a mixed number: [tex]\frac{2*+1}{2}[/tex]

Calculate the product or quotient: [tex]\frac{4+1}{2}[/tex]

Calculate the sum or difference: [tex]\frac{5}{2}[/tex]

Check equivalency: False

Answer: False

Can someone help me with this​

Answers

Answer:

1. so the express of the shaded region would be

10x*6 which gives 60x the area of the whole thing subtract 2x*4 =8x

so 60x-8x

2.

the perimeter is 6*2 bc two sides so 12

and 10x *2 bc two sides 20

so 20x+12 would be the perimeter

Pleaseee help me A medical equipment industry manufactures X-ray machines. The unit cost C (the cost in dollars to make each X-ray machine) depends on the number of
machines made. If x machines are made, then the unit cost is given by the function (x) -0.8x? - 256x+29,444. What is the minimum unit cost?
Do not round your answer.

Answers

Answer: 8,964

Step-by-step explanation: x= -b/2a. So, -(-256)/2(0.8)= 160. Plug in 160 to the whole equation.

0.8(160)^2 -256(160)+29444

=8,964

1. Carlee surveyed customers as they left a convenience store. She asked them, “How many items did you purchase?” The results are shown in the line plot.

(a) How many customers were surveyed?
(b) What was the greatest number of items purchased by a customer?
(c) How many customers purchased 9 items?
(d) How many customers purchased at least 5 items?
(e) What was the median number of items purchased?

Answers

Answer:

a. 15

b. 11

c. 2

d. 7

e. 3

Step-by-step explanation:

a. count the dots, that will be total customers surveyed  = 15

b. one customer purchased 11 items - 11

c. count how many dots under 9 - 2

d. at least 5, meaning ppl buying 5 or more items, count dots greater than 5

  - 7

e. Median means middle number, arrange in order

0,1,2,2,3,3,3,3,5,5,7,7,9,9,11, so middle number is : 3

Answer:

a. 15

b. 11

c. 2

d. 7

e. 3

hope this helps :)

For this question, I'd want some assistance. Thank you very much. Have a wonderful day!

Answers

Answer:

can u take pic again?

Step-by-step explanation:

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