Find aw/as and aw/ât using the appropriate Chain Rule. Values Function w = y³ - 2x²y x = es, y =et S = -3, t = 6 aw əs aw at II aw at 10 Evaluate each partial derivative at the given values of s and t. aw მა 3e¹82e 18 6 X

Q: For which values of x are the vectors (2x, 4, x) and (-1, -2, x) orthogonal? Select one: O None of…

A:

Q: Find form. (x + y) dydx. Write your answer in exact từ da l 2 6 6

A:

Q: Let g(t)= t - sin (t). (a) Plot the graph of g.

A:

Q: To test this series for convergence ∞ n=1 n n6 + 7 You could use the Limit Comparison Test,…

A:

Q: Let A(z) = f(t) dt, with f(x) shown in the graph below. 3 2 At what a value(s) does A(x) have a…

A:

Q: Select the curve generated by the parametric equations. Indicate with an arrow the direction in…

A: In this question, we will draw the graph of the parametric equation.

Q: Find the differential dy. y = ex/5 1_5x dy || Evaluate dy for x = 0 and dx = 0.01 dy = 0.002

A: Consider the function

Q: 8 3 dx √√x-3

A:

Q: Set up an integral that represents the length of the part of the parametric curve shown in the…

A: x=tcos⁡(t),y=t−6sin⁡(t),

Q: Winter FunⒸ has determined that the total cost (in dollars) for its west coast factory to produce…

A:

Q: Solve | | - 3x +8 24

A:

Q: Find the exact length of the curve. x = 7 cos(t) = cos(7t), y = 7 sin(t) sin(7t), - 0 ≤t≤n

A: x=7cos⁡(t)−cos⁡(7t),y=7sin⁡(t)−sin⁡(7t),0≤t≤π

Q: Use the factor theorem to determine if the given binomial is a factor of f(x). f(x)=x²-2x³ +5x²…

A:

Q: 1) fx²e-3x dx/

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Solve the differential equation. (t−8) s' +7(t−8)5s=t+8, t> 8

A:

Q: (a) At what point(s) does the graph of f(x)=x²-3x have a horizontal tangent line?

A:

Q: Consider the curve defined parametrically by x(t) = cos(2t) and y(t) = 2 sint for values of t such…

A:

Q: 6x Find the limits in a), b), and c) below for the function f(x) = - X-5 Use -∞ and ∞o when…

A: given limit to find

Q: intercept (x, y) =

A: we have given function

Q: Consider the function graphed to the right. Make sure to use the union symbol, U if needed. The…

A:

Q: Evaluate 7/8 S 0 11√ 1- cos 8x dx либ

A:

Q: (1) (2 cos y + 4x²)dx = xsin ydy

A: given differential equation

Q: Roberto has plans to build a tree house in his backyard. He takes measurements from the ground and…

A: Here,

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 12 + 2x -…

A:

Q: The magnitude of the vector (5,-2, 3) is √/38. Select one: O True O False

A: Given vector is: Let vector

Q: (b) Suppose that f(x) = 2x^2 − x^4 . Find the intervals on which f is increasing and those on which…

A: Question no. (b):Suppose that To find the intervals on which is increasing and those on which it is…

Q: The magnitude of the vector (3, -2, 4) is 29. Select one: O True O False

A: The given statement "The magnitude of the vector  is "

Q: Determine whether C(A - B) is defined. If it is defined, express the result as a single matrix; if…

A:

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

A:

Q: Find the exact directional derivative of the function √y z at the point (1,9, 9) in the direction…

A:

Q: Evaluate the integral Note: Use an upper-case "C" for the constant of integration. 7 Insee( arctan…

A: Consider the integral

Q: fe2x sin 3x dx

A:

Q: Given f(x) = 2x³ - 12x² + 4x + 13 The possible inflection value is x = Concave Down interval is O…

A: The given function is

Q: Use the Table of Integrals in the back of your textbook to evaluate the integral: sec² (9t) tan²…

A:

Q: Use the quotient rule to find the derivative. x² + 8x +3 y= √x OA. dy 2x+8 dx X B. O C. dy dx dy dx…

A:

Q: Find all values of x and y such that f(x, y) = 0 and f(x, y) = 0 simultaneously. f(x, y) = x² + 4xy…

A: To find all values of  such that  simutaneously.

Q: Sketch the region of integration of 2 So Soft + S₁² √ √² Then evaluate the integral by first…

A:

Q: Put the following function in the form P(t) = Poekt. P(t) = 110(0.72) NOTE: Round your answer to…

A: If we need it in the form P = P0 ektGiven, the P0 term is there (it is 110)The only thing we need to…

Q: Find the derivative of the function at Po in the direction of A f(x,y.z)= - 3e cos (yz). Po(0,0,0).…

A:

Q: Given f(x) = 21x¹ - 26x³ - 120x² +7x+4 The possible inflection values are x = O Concave Down…

A: In this question, we will find the concave down and up intervals.

Q: A rectangle is inscribed in a semicircle of radius r = 16 as shown in the diagram below. 0 X y

A:

Q: Evaluate the indefinite integral S 16 (49 - x2) 19/2 dx

A:

Q: Find the total differential. 8x + y 3z - 2y dw = W X

A: If W = f(x,y,z) then the total differential of W is given by   +

Q: Differentiate g(ar) = In (7 7-x g'(x) = 0

A:

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x²² In(x),…

A:

Q: Find the absolute maximum and absolute minimum of the following function on the given interval. 1…

A:

Q: 5 -4 -3 N 5 4 3 2 -1 -2 -3 -4 1 2 3 4 5 -5+ In the above graph of y = f( x ), find the slope of the…

A:

Q: 7. 8. 9. sect cos t sect 1+sec²x tan*x+1 sin t csc t = sin t = cos x + 1 cos t sect = 1

A: Given.

Q: 2. Isolate x. For answer, show X on left side x 2 3X-6 ≥ 2x + ] 1 داده 2x > 2x + 7 3 2x > 6x + 21…

A:

Q: (3) Find the general solution of the following different equation (2x³ − xy² −2y + 3)dx − (x²y + 25…

A: Given Differential equation