Related Rates: Suppose x (t) and y(t) are differentiable functions satisfying x³y - 3x√y + 2x = 0 Find if x = 1, y = 4 and dy dx dt = dt

Q: Q1/ Find the maxima, minima and saddle points for the following function and the value of the…

A: As per guidelines only first question is answered. For other answer please resubmit.

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

A:

Q: r6x14 dt. Find F'(x) if F(x)

A: Please refer to the image below

Q: 3. Let f(x, y) +y with x()=r and y(t) sin t. Find the derivative of w = %3D %3D %3D f(x, y) with…

A: Asked derivatives is solved.

Q: A motorcycle shop estimates that it will sell 600 motorbikes in a year. Each bike costs $250, plus a…

A:

Q: Find linearization L(x) of f(x) = tanh=' at a= 0 and use it to estimate f(0.01).

A: Topic:- linearisation

Q: a. y'=-20x (3– 5x')" 32. Suppose that x and y are both differentiable functions of t and are related…

A:

Q: A particle moves along the x-axis so that at time t 0 its velocity is given by v(t) = 3t2 - 6t 24.…

A:

Q: 1. Find the derivative of the following function. 4. f(w) = 3D 6w* +3w +2w f'(w) = %3D

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: 3z-2x² -1 (2z–1)®

A:

Q: Prévicy (Find y as a function oft if 144y" – 408y' + 289y = 0, | y(0) = 8, y' (0) = 4. y =

A:

Q: Can i get help step by step please

A: Consider the given function

Q: xy Consider_w = F(x,y,z) = x²yz + ² Z a. Find the equation of the tangent when x = 1, y =3, z = 1

A: Only the first part is solved. It is given that w=Fx,y,z=x2yz+xyz. The objective is to evaluate the…

Q: Find the total derivative of f(z, y) = xy+3y² is a. df = ydx + dy b. df = ydx + 6edy C. df (a +y)da…

A:

Q: Suppose that y and z are twice-differentiable functions of x. Show that d y dx y' 2 y"

A: Derivative of a function is the measure of how fast the function is changing with respect to the…

Q: Praw a slope field for the dtfferea- differentiation equation y = xty sketch an and approprlocte…

A: We have to draw a slope field for the differential equation given below: y'=x+y. To sketch the…

Q: Find the maximum rate of change of the function f(x, y) 3y5 x at the point (3,4)

A:

Q: Differentiate. f(t) %3D t- 6 f'(t) = || Your answer cannot be understood c %3D Additional Materials…

A:

Q: Explain for which values of a the function a* is increasing and for which values it is decreasing.…

A: Given derivative of ax is ax(lna) Now note that lna >0 when a>1  And ln a<0 when…