Find dy/dx when x = tant and y = sint cost.​

Answers

Answer 1

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[tex] \frac{y}{x} = \frac{ \sin(t) }{ \tan(t) } \\ [/tex]

[tex] \frac{dy}{dx} = \frac{( \sin(t))'}{( \tan(t))'} \\ [/tex]

[tex] \frac{dy}{dx} = \frac{ \cos(t) }{ {sec}^{2}(t) } \\ [/tex]

[tex] \frac{dy}{dx} = \frac{ \cos(t) }{ \frac{1}{ {cos}^{2}(t) } } \\ [/tex]

[tex] \frac{dy}{dx} = {cos}^{3}(t) \\ [/tex]

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Related Questions

x + 1 3/4 = 2 7/8 HELP ME PLSS

Answers

Answer:

x = 1.125

Step-by-step explanation:

Answer:

x + 1 3/4 = 2 7/8

x + (1 + 3/4) = (2 + 7/8)

8x = 9

x = 9 /8  = 1.125

Step-by-step explanation:

You have 3 coins. One of them may be a fake that is either heavier or lighter than the real coins. Using a balance scale what is the best possible number of weighings that you need to always find the possible fake

Answers

Answer:

Two weighing

Step-by-step explanation:

In the context, it is given that one of the three coins is fake and the other two are real. It is also mentioned that the fake coin is either heavier or lighter than the other two real coins.

Now to find the fake coin, we take a balance scale and lace one coin on one pan of the balance and place the second coin on the other pan of the same balance. We keep the third coin aside.

Now we check the balance scale. If the scale is balance, then we can conclude that the coin that we kept aside is the fake coin as both the real coins have same weight.

Now we replace the one of the coin on the pan with the coin that is kept aside and check the balance. Remember now on the pan, there is one real coin and one fake coin. The balance scale will be dis-balance as the fake coin is either heavy or light than the real coin. Thus we can identify the fake coin.

what is the cost of making one burrito (remember that cost is negative)​

Answers

Answer:

$550

Step-by-step explanation:

How much is the profit for 1 burrito?: $8 - ($1.50+$1) = $5.5

So, profit for 100 burritos is $5.5 x 100 = $550.

Encide the best answer
1. What is the sum of: -2 + 6?​

Answers

Answer:

The sim is 4

Step-by-step explanation:

6 - 2 = 4, therefore the -2 and 6 are the same if fliped.

{ first 5 multiples of 12}​

Answers

Answer:

The multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144,…

Answer:
60

Steps By steps

4.) At an ice cream shop the ratio of chocolate ice cream cones to vanilla ice cream
cones sold is 5 to 3. Using this ratio, if 25 chocolate ice cream cones are sold in a
day, how many vanilla were sold that same day. Draw, label and use a tape diagram or
other method that you've been taught to solve. Write your answer in sentence
form.(2pt)

Answers

Answer:

15 vanilla ice cream cones were sold.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

5 minus the square a number

Answers

Answer:

5 - x^2

Step-by-step explanation:

5 - x^2 the translation


At a neighborhood cookout,
the ratio of children to adults
is 7:2. If there are 10 adults,
how many Total people are at
the cookout?

Answers

Answer:

45 people

Set up a proportion.

7/2 = x/10

cross multiply

We get 2x=70

x= 35

Children= 35

35 children + 10 adults= 45 people

What are rules for transformations and how do they work

Answers

Answer:

f (x) + b shifts the function b units upward.

f (x) – b shifts the function b units downward.

f (x + b) shifts the function b units to the left.

f (x – b) shifts the function b units to the right.

–f (x) reflects the function in the x-axis (that is, upside-down).

Step-by-step explanation:

Mark Brainlyest PleAse

Raia purchases a new car for $32,000 and
finances it with a 6-year simple interest
loan at a rate of 4.25%. What are Raia’s
monthly car payments?

Answers

32,000 (Price of Car) x 4.25% (Interest) = 1,360 Divided 72 months (6 year interest) = $463.33/Month

In the year that this exercise was written, there were 611 challenges made to referee calls in professional tennis single ppay. Among these challenges, 172 were upheld with the cell overturned. Assume that 30% of the challenges were successfully upheld with the cell overturned. Find the probability amonng the 611 challenges the number of overturned calls is exactly 172.

Answers

Answer:

i use this formula at school but when i simply calculate at my calculator, it says "math error" . i am sorry but i hope this formula helped

HELP ILL GIVE BRAINLIST IF YOU HELP MEEEEEEEEEEE
(20 POINTSSSS) PLUS BRANLIEST DO NOT REPORT PLEASE
I put some counters into groups with the same number in each group. I can’t remember what I did, but I do remember that I had 12 counters. What might the groups have been?
THANKS

Answers

Answer:

2 groups of 66 groups of 24 groups of 33 groups of 41 group of 1212 groips of 1

Step-by-step explanation:

To figure out the possible groups find the factors of 12; in other words what two numbers would multiply to 12. These are: 1, 2, 3, 4, 6, and 12

1 × 12 = 122 × 6 = 123 × 4 = 124 × 3 = 126 × 2 = 1212 × 1 = 12

So, your possible groupings are;

2 groups of 66 groups of 24 groups of 33 groups of 41 group of 1212 groips of 1

Answer:

the answer is 4 * 9

Step-by-step explanation:

np

Given: Line NM is parallel to line OQ, like NE is congruent to line OQ, Line NR is perpendicular to line MP, line OP is perpendicular to line MP
Prove: NR congruent to OP

Answers

Answer:

Step-by-step explanation:

From the picture attached,

In ΔNMR and ΔOQP,

NM║OQ, and MP is the transversal intersecting these lines at M and Q.

∠NMR ≅ ∠OQP [Given]

m∠NRM = m∠OPQ = 90° [Given]

ΔNMR ~ ΔOQP [By AA property of similarity]

Therefore, corresponding sides of the similar triangles will be proportional.

[tex]\frac{NM}{OQ}=\frac{MR}{QP}=\frac{NR}{OP}[/tex]

Since, NM ≅ OQ [Given]

Therefore, NR ≅ OP

anyone PLEASE help!!! I will give brianliest

Answers

Answer:

its the second one.

Step-by-step explanation:

What is the slope of the line going through the points (2,5) and (-4,-1)?

Answers

The slope is 1.

I just answered this question a little while ago.

Have a wonderful day :)
And happy early thanksgiving!!

Please answer this correctly without making mistakes

Answers

Answer:

The price per inch is $0.26.

Step-by-step explanation:

There are 12 inches in 1 foot.

First, we need to calculate what the cost is per foot.

18.72 / 6 = 3.12

From this answer, we have to divide by 12 to calculate what the price is per inch.

3.12 / 12 = 0.26

I hope this was helpful to you! If it was, please consider rating, pressing thanks, and marking my answer Brainliest. It would help a lot. Have a wonderful day!

A rectangular playground has dimensions and area as shown below.



Complete the work to find the dimensions of the rectangle.

x(4x + 5) = 450

4x2 + 5x = 450

4x2 + 5x – 450 = 0

(4x + 45)(x – 10) = 0

The rectangle has a width, x, of
, and a length of
.

Answers

I think it’s 10 because (x-10)=x=10

9514 1404 393

Answer:

x = 10width = 10length = 45

Step-by-step explanation:

The remaining work is to identify the values of x that make the factors zero:

4x +45 = 0

  x = -45/4 . . . . negative dimensions are not useful

x -10 = 0

  x = 10

The width is x, so the width is 10.

The length is 4x+5, so the length is 4·10+5 = 45.

The rectangle has a width, x, of 10 and a length of 45.

i can not beg this enough please answer!!! i have a D in math right now and i cant afford and F. PLEASE LOOK AT THE PHOTO​

Answers

The slope of the line is 2. As x increases by 1, y increases by 2. The change in y over the change in x is slope: 2/1 = 2

The formula for the volume of a right triangular pyramid is V = 1/6 bhx, where b is the base of the triangle, h is the height of the triangle, and x is the height of the pyramid. Solve for X.

Answers

Answer: x = 6V/bh

Explanation:

V = 1/6 bhx
V = (bh/6)x
V • 6/bh = x
6V/bh = x

What is the slope of the line that passes through the two given points? (13, -2) and (3, -2)

Answers

Answer:

[tex]the \: slope \: is \: \boxed{0}[/tex]

Step-by-step explanation:

[tex]the \: slope \: : m = \frac{ - 2 - ( - 2)}{3 - 13} = - \frac{0}{10} [/tex]

Type the correct answer in the box. Find f(g(x)) for the functions f(x)=5 √x+1 -2 and g(x)= x^2 -1 . f(g(x)) = _____ are these functions inverses? _

Answers

g(x)=x^2-1

f(g(X))=5 sqrt(x^2-1+1)-2

5 sqrt(x^2)-2

:sqrt cancel the square

5x-2

Answer please thanks

Answers

Answer:

4. interphase

5. prophase

6. metaphase

help eogijreoigdorifgjdoiufhgdifhg

Answers

The answer is D, (20%)

29/145=0.2

0.2 converted to a percentage

0.2/1 is 20%

1. Solve:
3
[tex]}^{2} [/tex]
[tex]{ 3}^{ - 6} \times {3}^{2} [/tex]

Answers

3^(-6) • 3^(2) = 3^(-4) or 1/81

What is the distance between points (6, 9) and (6, −9) on a coordinate plane?

Enter your answer in the box.

Answers

Answer:

18

Step-by-step explanation:

If you go to (6, -9) and count up to (6, 9) it is exactly 18 points.

Answer:

It should be 18 units (IT MIGHT) if you count from positive 9 down to negative 9 its gonna be 18 units.

It costs $3.45 to buy 34 lb of chopped walnuts. How much would it cost to purchase 7.5 lbs of walnuts? GIVING BRAINLIEST *URGENT*

Answers

Answer:

$0.75

Step-by-step explanation:

$3.45 ÷ 34 lb. = $0.10 per pound (rounded)

$0.10 x 7.5 = $0.75

It would cost $0.75 to buy 7.5 lbs of chopped walnuts

I'm sorry if wrong! You are loved and you are beautiful/handsome!

-Bee

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When Elena makes bird food, she usually mixes 9 cups of seeds with 6 tablespoons of maple syrup. However, today she is short on ingredients. Think of a recipe that would yield a smaller batch of bird food but still taste the same. Select the correct amount of seeds and syrup. *

Answers

Answer:3 cups of seeds and 2 tablespoons of maple syrup

-OR-

6 cups of seeds and 4 tablespoons of maple syrup

Step-by-step explanation:

As this is a ratio of 9:6: "for every 9 cups of seeds, there is 6 tablespoons of maple syrup"

The original ratio is 3:2 "for every 3 cups of seeds, there is 2 tablespoons of maple syrup"

Using this ratio, we can infer that 3:2 or 6:4 would be a simpler answer for this problem. If there is doubt, it would be better to use 3:2 as it is the smallest ratio.

Answer:

I don't quite know how much Elena has in bird food but here is what you can do: If Elena has for example 6 cups of seeds then she will need 3 cups of maple syrup I think. 9-6=3 which is the difference that Elena needs to make her bird food. I hope this helps!

at what point in the first quadrant does the line with equation y=×+4 intersect the circle with the radius 5 and center (0,4)​

Answers

Answer:

x=3.536, y=7.356

Step-by-step explanation:

The point of intersection can be found out be equating the equations x^2+(y-4)^2=25 and y=x+4. Solving it we will get x=3.536, y=7.356

PLEEEEEEEEEEEAAAAAAAAASEEEEEEE HELPPPPPP ME

Answers

-0.9 will be one before -1 and -1.2 will be two after -1

11. The front and back walls of The front and back walls of an A-frame cabin are isosceles triangles, each with a base measuring 22’ and legs measuring 28’. The entire front wall is made of glass. If area = 1/2b*h how many square feet of glass is
needed.

Answers

Answer:

Total area = 308'

Step-by-step explanation:

Given:

Base = 22'

Height = 28'

Find:

Total area

Computation:

Total area = 1/2[b][h]

Total area = 1/2[22][28]

Total area = 308'

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