Use the given substitution and the chain rule to find
dy/dx
y=cos (6x - 5), u = 6x-5

Answers

Answer 1

Substituting u = 6x - 5, you write

y = cos(u)

Then differentiating with the chain rule gives

dy/dx = dy/du • du/dx

We have

dy/du = -sin(u)

du/dx = 6

so

dy/dx = -6 sin(u) = -6 sin(6x - 5)


Related Questions

Who's is the faster runner? Raj can run 1 1/3 laps in 1/4 of an hour. Yvonne can run 4 1/2 laps in 7/8 of an hour.

Answers

raj can run faster than yvonne
Raj can run faster out of all of them

4.5.
A line has the equation
y=x+3
Write down the coordinates of the point where the line intersects the v-axis.
Answer
(
Write down the coordinates of the point where the line intersects the x-axis.
Answer

Answers

Given:

The equation of line is

[tex]y=x+3[/tex]

To find:

The x-intercept and y-intercept.

Solution:

The equation of line is

[tex]y=x+3[/tex]

Putting x=0, we get

[tex]y=0+3[/tex]

[tex]y=3[/tex]

So, the y-intercept is (0,3).

Putting y=0 in the given equation, we get

[tex]0=x+3[/tex]

[tex]-3=x[/tex]

So, the y-intercept is (-3,0).

Therefore, the coordinates of the point where the line intersects the y-axis are (0,3). The coordinates of the point where the line intersects the x-axis are (-3,0).

Suppose you toss a coin four times. What is the probability that you get heads on the second, third, and fourth losses?​

Answers

Answer:

3:4

Step-by-step explanation:

probability = what wanted : total outcome

                 =  3 heads : 4 tosses

                = 3 : 4

If someone could help me with coordinates, i would really appreciate it.

Answers

Answer:

6.W = -4 , 2     B = -3 , -1      Y = -1 , 1      Z = -2 , 3

7. R = -3 . -2    E = -3 , -4     J = -4 , -4

i think

plz hel asap plz brainliest
\

Answers

Answer: B

Step-by-step explanation:

There are several ways to solve this problem, but I think the easiest way is just to find the mean.

There are 12 total data points, and adding them all up you get 266.

mean = 266/12 = 22.167

The line in the middle of the box plot represents the mean, so the answer must be B.

Answer:

B

I hope this helps!

PLEASE HELP MEEE THIS IS DUE TODAY

Answers

OMG I HAD THAT LAST YEAR LET ME LOOK FOR IT

All of the following are equvalent except
O (4)(y)
O4+y
O4-y
O4y

Answers

4y.......is the correct answer

Harold gets paid at home for doing extra chores. Last week, he did 2 loads of laundry and 3 loads of dishes, and his parents paid him $17. The week before, he finished 5 loads of laundry and 10 loads of dishes, earning a total of $50.

Write a system of equations that models the above situation.

Answers

Answer:

2x+3y=17

5x+10y=50

Step-by-step explanation:

An item had an original price of $5.00. It had a percent markup of 45%. What was the value of the markup?

Answers

Answer:

markup price = $2.25

Step-by-step explanation:

markup = 45% of $5

markup = 45/100 x 5

markup = $2.25

selling price = $5 + $2.25

selling price = $ 7.25

Answer:

$2.25

Step-by-step explanation:

edgems 2020-2021

HELP!!!!! DONT KNOW HOW TO DO THIS

Answers

Answer:

They are complementary angles.

Step-by-step explanation:

62° + 28°

= 90°

An oil company fill 1/10 of a tank in 1/5 hour. At this rate which expression can be used to determine how long it will take for the tank to fill completely?

1/5 x 10 hours
1/10 x 5 hours
1/5 x 1/10 hour
5 x 10 hours

Answers

The answer is A. I really don’t know how to explain since I searched it up lol

What is NOT a way to write 52 + 80? 50 + 2 + 80 (50 + 80) + 2 50 + 80 + 2 + 8 50 + 2 + 80 + 0

Answers

Answer: 52-80

Step-by-step explanation:

Answer:

52-80

Step-by-step explanation:

find the coordinates of point which divides the line segment joining the points (a+b,a-b) and (a-b,a+b) in the ratio 3:2 interally

Answers

Answer:

Coordinate of 0 = [tex]\bigg( \dfrac{5a-b}{5},\:\dfrac{5a+b}{5}\bigg)[/tex]

Step-by-step explanation:

Let AOB be the line segmentPoint 'O' divides the line segment into m:n = 3:2

Given:

Coordinate of a = (a+b, a-b)Coordinate of b = (a-b, a+b)Ratio = 3:2

ToFind:

Coordinate of 0 (zero)

Solution:

ATQ,

[tex]\dfrac{m}{n}=\dfrac{3}{2}[/tex]Coordinate of a = (x[tex]_{1}[/tex], y[tex]_{1}[/tex])Coordinate of b = (x[tex]_{2}[/tex], y[tex]_{2}[/tex])

As we know that,

[tex]\implies\:\:x = \dfrac{mx_{2} + nx_{1}}{m + n}[/tex]

[tex]\implies\:\:x = \dfrac{(a-b)3 + (a+b)2}{3+2}[/tex]

[tex]\implies\:\:x = \dfrac{3a - 3b + 2a + 2b}{5}[/tex]

[tex]\implies\:\:\red{x = \dfrac{5a - b}{5}}[/tex]

Similarly,

[tex]\implies\:\:y = \dfrac{my_{2}+ny_{1}}{m+n}[/tex]

[tex]\implies\:\:y = \dfrac{(a+b)3+(a-b)2}{3+2}[/tex]

[tex]\implies\:\:y = \dfrac{3a+3b+2a-2b}{5}[/tex]

[tex]\implies\:\:\red{y = \dfrac{5a+b}{5}}[/tex]

Hence,

Coordinate of 0 is [tex]\blue{\bigg( \dfrac{5a-b}{5},\:\dfrac{5a+b}{5}\bigg)}[/tex]

15 points and BRAINLIEST Alyssa invested $500 into an account. The value of the account after t years can be found using the function r(t) = 500(1.068). What is the percent annual rate of change
in the value of the account?

Answers

Answer:

annual rate: r = 0.068

Step-by-step explanation:

The formula is r(t) = P(1+r)^t

Since the time is already in years we just have to solve for the rate

1 + r = 1.068

r = 0.068

The rate of change in the value of account is 0.068

What is rate of change?

'Rate of change is used to mathematically describe the percentage change in value over a defined period of time.'

According to the given problem,

Annual rate:

r = 0.068

The formula is r(t) = [tex]P( 1 + r )^{t}[/tex]

Therefore, solving for the rate

⇒ 1 + r = 1.068

⇒ r = 0.068

Learn more about rate of change here: https://brainly.com/question/14418346

#SPJ2

Can someone help me plz?!?!? The real answer too

Answers

Use Cymath to find your answer

What is the equation of the line that passes through the points (2,6) and (4, 10)?

Answers

Answer:

y=2x+2

Step-by-step explanation:

took a test and got it right

USAA is offering a retirement account that is compounded monthly. This account earns 1% interest. His money can remain there for 20 years. He can withdraw it at any time without a penalty. (exponential function equation)

Answers

Answer:

what are we supposed to answer???

Step-by-step explanation:

i need serious help cause i didnt pay attention at all in class

Answers

Answer:-3<y<2

The answer should be D

Can someone please help me ASAP ​

Answers

It's A it has to be

Question 6 of 14
Use the commutative property of addition to rewrite 3*5*7
Which expression is equivalent?
A. (3 * 5) - 7
B. 3+5+6
C. 3+7+5
D. 3(5 + 7)
SUBMIT

Answers

D . 3(5+7) that is the expression which is equivalent

help plsss im begging

Answers

Answer:

The answer is A, $330

Step-by-step explanation:

Answer:

330$

Step-by-step explanation:

165-123.75=41.25

41.25+41.25=82.50

247.5+82.5=330$

Hope this helps

write tow additions that each have asum of -21.5.

Answers

Answer:

problem 1: -10.75+(-10.75)= -21.5

problem 2: (−5.375)+(−5.375)+(−5.375)

+(−5.375)= -21.5

Step-by-step explanation:

for the first one is just divided -21.5 by two and added the sum with itself.

for the second I divided -21.5 by 4 and added the sum up 4 times to get -21.5 again.

the equations might look a little too complicated but I hope this helped!

Helppppppppp please

Answers

Answer:

-4 > -6

Step-by-step explanation:

-4 is greater than -6. If you plot it on a number line, remember that numbers to the right of another number are greater. BRAINLIEST Please?

Solve this Order of operations using integers
6×3−(−9)+(7)2

Answers

Answer is 41

Explanation: 6*3-(9)+(7)2
18+9+14
41

Let f(x) = 3 x 2+1, find f(2)

Answers

answer: 13

explanation: you plug in f(2)
3(2)2+1
(6)2+1
12+1
13

How many minutes are there in a day?

Answers

1440

because yea

hehehehehehehehehee

Answer:

1440 min

24 hours × 60 min

Paul is six years older than Matt. One year ago, the sum of their ages was 16. How old is
Matt now

Answers

16-6 is 10, plus one year would make Matt 11

Solve for x:

(-3/2)x-9=-27

- 24


-12

11

12

Answers

The answer to the equation is 12

i love these kind of questions :D

okay so lets write our problem down 1st:

(-3÷2)x-9=27

okay so you take one of your answers lets do A 1st and put is as x like this:

(-3÷2)-24x(-9)=27 now solve:

(think of PEMDAS)

P = perenthesis

E = exponents (which you dont have in this problem)

M = multiply

D = divide

A = add

S = subtract

do perenthesis 1st which would be (-3÷2)

(-1.5)-24x(-9)

now multiply 24x(-9)

(-1.5)-216 = (-214.5) does it equal -24 (which was what you plugged in for x)

no it doesnt so A cant be your answer. now do it for the rest of your answers :D

just help please, im the NOT smartest

Answers

Answer: 3/7

The slope is the same.

Parallel lines have completely opposite slopes!!
By this, positives become negatives, and negatives become positives, as well as being flipped.
3/7 would flip and become negative to become F, -7/3!

For future reference, this works with whole numbers too, like 3 becoming -1/3.

Hope this helps you!

Carlos walked to school on 12 of the 25 days of February. Which value is equivalent to the fraction of the school days in February that Carlos walked to school?

Answers

Answer:

12/25

Step-by-step explanation:

so he walked 12 days so that would be 12 and there was 25 days of feburary so its 25.

Answer - 12/25

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