Assume that x and y are both differentiable functions oft and are related by the equation y = cos (4x). dy , given dx dt = -5 when x = Find when x = dt 8 Enter the exact answer. dy dt Number

Q: Assume that x and y are both differentiable functions of t and are related by the equation…

A: topic - derivative of a function

Q: Given that x and y are functions of time, find the indicated rate of change. dy when x 1, y=2, and…

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Q: Assume that x and y are both differentiable functions of t and are related by the equation…

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Q: Find the derivative of the given function. y=cos(e^-5theta^3)   dy/dtheta=

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Q: Find dy for the given values of x and Ax. y = 3x° - 2x; x = - 3; Ax = 0.4 What is the derivative of…

A: Given the functiony=3x3−2x

Q: find dy/dx for the function ex+y+2x-3y=e using implicit differentation.

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Q: dy by differentiating implicitly. Do not subs da (a) Find dy dx (b) Solve the equation for y as a…

A: We will find the derivative.

Q: dy соmpute dx for implicitly given function cos(xy) + 2y = x³

A: cos(xy)+2y=x3Differentiate with respect to x,-(sin(xy))y+xddx(y)+2ddxy=3x2

Q: Find  dy/dt  using the given values. y = x3 − 2x for x = 4, dx/dt = 1. dy dt =

A: The objective is to find dy/dt.

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A: Given Equation: and given that dx/dt = 3 Find  (a) dy/dt when x = 4,…

Q: Find dy/dx implicitly and find the largest interval of the form -a < y < a or 0 < y < a such that y…

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Q: Assume that x and y are both differentiable functions of t and find the required variables below.…

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Q: Find dy/dx by implicit differentiation. (a) Vry = x- 2y +1 (b) y³e2 + 53y = sec(3x)) (:) (b) x = In…

A: To find the implicit differentiation.  We use the , basic product and chain rule of differentiation.…

Q: Find dy for the given values of x and Ax. y = 3x+5; x = 1; Ax 0.24 What is the derivative of y = V3x…

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Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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Q: dz evaluated at dt 4x If z=tan In with x=sec t and y=e". Then the value of y t= 0 is equal to ...…

A: Given,             z=tanln4x2y with x=sect and y=e2t.To find : The value of dzdt at t=0.

Q: &y dy :5 cos t, the third order derivative dt For the function dt3 is 5 cos t -5 cos t -5 sin t cost

A: Here we will find 3rd order derivative

Q: Find dy/dx for e 2x + y 2 = sec(2x) in terms of x and y using implicit differentiation

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Q: dF Q. IF the value of (t) change from x to x. Find the r(x.t) = (t-x) cos( F(x) = S(x,t) dt for…

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Q: dw H.W: Use the chain rule to find the derivative dt with x = cos x = cos² t, y = sin² == and…

A: Given :w=xz+yzx=cos2t    and y=sin2t   z=1t

Q: Calculate following derivative if y(t) = 6t-3 + 41². (Use symbolic notation and fractions where…

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Q: Assume that x and y are both differentiable functions of t and are related by the equation y = cos…

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Q: dx at x = dt dy Find - 5 if y = x² - 3 and = 4. dt

A: A detailed solution is given below

Q: Find dy/dx implicitly and find the largest interval of the form -a <y <a or 0 < y <a such that y is…

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Q: Find dy/dx for the following functions:- (2) y = v sinh Vtan x (4) y=2,u = 3x²-2 u²+1

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Q: Find DE using variable separable cos/dx + 1/ydy=0

A: Given that: cosxdx+1ydy=0

Q: y = √√x S 0 10 5t cos (¹0) de dt

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Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: dy For the function dt d°y order derivative = 4 cos t, the third is dt3 -4 sin t -4 cos t 4 sin t -4…

A: Differentiate the given function expression with respect to t twice to find the required value

Q: Assume that x and y are both differentiable functions of t and are related by the equation…

A: Given, y = cos2x We have to find dy/dt when x=π/4, given dx/dt=−4 when x=π/4.

Q: Given that x and y are functions of time, find the indicated rate of change. dy when x 4 and dt dx…

A: First obtain the derivative of the given equation as follows.

Q: Assume that x and y are both differentiable functions of t and find the required variables below.…

A: x and y are both differentiable functions of t y=x We need to find implicit differentiation dydt a)…

Q: Find dw/ds and dw/dt using the appropriate Chain Rule. Function Values w = sin(4x + 5y) x-s+t, y =…

A: The given function,w=sin(4x+5y)x=s+ty=s-tat the point s=0, t=π2

Q: Find dx 2n S sin (P) at (?)dt y=

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Q: Assume that x and y are both differentiable functions of t and are related to the equation: y =…

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Q: Assume that and y are both differentiable functions of t and find the required values of (dy)/(dt)…

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Q: Assume that z and y are both differentiable functions of t and are related by the equation = cos…

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Q: x2 dy × J sint'dt. Find for y = x dx х2 dy dt + (Type expressions using t and x as the variables.)…

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Q: Assume that x and y are both differentiable functions of t and are related by the equation y = cos…

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Q: dy dy For the function dt 7 cos t, the third order derivative dt3 is %3D

A: derivative with respect to t first oder derivatinve dydt is ddt(y). (which is given in the…

Q: Find the indicated derivative. dy dt - for y = (2.2t - 4t?)(2t + 1.9) dt 11

A: We have to find dy/dt for Given function.

Q: Find dy/dt using the given values. y = x3 - 5x for x = 3, dx/dt = 4. dy dt

A: Value of dy/dt= 88 See the calculation below

Q: consider your implicit function. e^y=sin(7x). Dtermine the formula for dy/dx in terms of x.

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Q: Assume that z and y are both differentiable functions of t and are related by the equation y = cos…

A: Given : f(x) =y= cos(2x)  To find : dy/dt Here, implicit differentiation has to be applied

Q: Find dy/dt using the given values. y = x3 − 2x or x = 5, dx/dt = 3   dy/dt=

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Q: Find the antiderivative of the given derivative. ds 14(4? – 1)3 dt S =

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Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

A: Given data is : dxdt=5et-3 , x0=4 To find the antiderivative

Q: Can you help me step by step?

A: Given information:

Q: Given that x and y are functions of time, find the indicated rate of change. dx when y = 3 and dt dy…

A: Note: sorry for unconvince. As per our guidelines we should solve only 1st question. So please…

Q: If x2 + y2 = 100 and dy/dt = 4, find dx/dt when y = 6. (Enter your answers as a comma-separated…

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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.