Evaluate the integral by making an appropriate change of variables. 3(x + y) cos (x2 - y?) da, where R is the rectangle enclosed by the lines x – y = 0, x – y = 6, x + y = 0, and x + y = 6 Hints: If we set u = x-y, v=x+y, how are x and y expressed in terms of u and v; which region D in the uv-plane is mapped to R in the xy-plane; what is the Jacobian of x,y with respect to u,v?

Q: Find the derivative. Ni at

A:

Q: Provide an appropriate response. Find f(n) if f(t) dt x sin 8x.

A:

Q: b. Shown below is the graph of a function f(x). Determine the value of each of the following. ii.…

A: Given data÷

Q: A B E F This is a graph of f'(x), the derivative of f(x). At which of the marked values is: f(x)…

A: f(x) is increasing function . f(x) must be greatest for the largest x .So,  a) F b)f(x) is least for…

Q: АСTIVITY 2 FINDING OTHER TRIG VALUES Given some initial values, apply the different trigonometric…

A:

Q: Use the Divergence Theorem to find the flux of F(x, y, z) = z³ i –x³j+ y° k across the sphere x? +…

A:

Q: Evaluate the indicated partial derivatives. z = 6a?y – 4a°y dz dz ду

A:

Q: Use the function to find the image of v and the preimage of w. T(v,, v v,) = (4v, - v,, 4v, + 5v,),…

A:

Q: Given | f(x)dx = 6 and | g(x)dx = 2 , evaluate 0.

A:

Q: Find T(t) and N(t) at the given point. x = e' cos t, y = e' sin t, z = e'; t= 0 T(0) : N(0) =

A:

Q: A 15-kg quantity of a radioactive isotope decays to 7 kg after 11 years. Find the decay constant of…

A:

Q: 4- part 1 Find the derivative of the function f(u) = 4u° 4 - 2u1.8 0.4 %3D = (n),1

A: Differentiate wrt u

Q: 8 Evaluate for (3x² -7x+4

A: We have to use the concept of derivatives

Q: Using any method, find the value of F. dr if F(x, y) = (8e" + 2ye")i+ (2e" + 8xe") j and nt C:r(t) =…

A:

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

A:

Q: Sketch the region enclosed by Y 6x and y = 9x". Find the area of the region.

A:

Q: a) Find the arc length of the catenary y = coshx between X 0 and x = In4. b) Graph the functions y =…

A:

Q: Find the area of the specified region. sec e Inside the dircle r 3 and to the right of the line r =…

A:

Q: 1. Find parametric equation for the line through the point P(3,-4,-1) parallel to the vector v…

A:

Q: (3x-2)cx In the integration --17 what integration method is appropriate? a. Integration by Power…

A: Use integral methods

Q: H.W: Use the comparison test to determine the following series converge or diverge: 1 3" +5 n=1

A:

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: First we will draw graph for function.

Q: Suppose that f is a function given as f(x) = - x² +x – 2. Simplify the expression f(r + h). f(x + h)…

A:

Q: Differentiate h(t) = 54ª %3D

A: Solution of given question is written in below steps.

Q: Find the antiderivative of f(x) = 2 csc2 a given that f () = 1. 4.

A:

Q: Consider the change of variable u = xy and v = 3y + 2x and the integral 2.r + 3y – 6 =0 - ||. (2r²y…

A:

Q: 3 For the given equation f(x) = x³ +a2 %3D 6x + 10

A: f(x)=x^3+3/2x^2-6x+10 f'(x)=d(x^3+3/2x^2-6x+10)dx f'(x)=3x^2+3/2(2x)-6(1)+0 f'(x)=3x^2+3x-6 take…

Q: 1. For which function below does lim f(x) = -∞? X-2+ 1 f(x) = - x-2 1 f(x) = - (2 – x) x² - 4 a. с.…

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: Use the function f(a) to fill in the table:

A: Given :

Q: Part A: Design a function that meets the following criteria: The function must have both a…

A:

Q: A small business's cost to produce I units of a new product is given by C(x) = -0.001x+ 4x +506…

A: Solve the following

Q: Find the volume of solid generated by revolving the region bounded by the curve y=4/x' and the lines…

A: Disclaimer:  “Since you have posted a question with multiple sub-parts, we will solve the first…

Q: 7- Differentiate K(x)=(Vx)(5x²+1)³

A:

Q: Evaluate (2x – y) dx + (x + 3y) dy. C: x-axis from x = 0 to x = 5

A:

Q: answer

A:

Q: Differentiability of f(r, y) at point (a, b) Let f: R R be a function given by if (r. y) (0.0). f(r,…

A: Given

Q: Plot the point whose polar coordinates are given. (4, 9/4)

A: The objective of the question is plotting the point in the polar co-ordinates and choose the correct…

Q: An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel…

A:

Q: Use Green's Theorem to find the work done by the force field F(x, y) Vyi + Væj on a particle that…

A:

Q: Suppose that F(x, y, z) = 0 defines z as a function of x and y and F is differentiable. Prove that…

A: Solution is given below:

Q: H.W: find the angle between the planes x + y = 1 and 2x + y- 2z = 2

A:

Q: 2)Consider the parent function y = x^2. For each function below, describe the transformations which…

A:

Q: (c) (i) Solve the linear equation: 2(3 - x) = 3(x + 5) Expand (x + 4)(x- 5) and use this answer to…

A: Part c is solved.

Q: U Course Home x b My Questions | bartleby Math 148 weekend number 2.pdf x…

A: In multiple question we are allowed to answer only first one .and in multiple part question the…

Q: Find the volume of the solid obtained by rotating the region bounded by y = 2x, x = 1, and y = 0,…

A:

Q: Determine the range of f(x,y)=tan 2+x +y

A: Here the value of x2+x2+y3 can vary from -∞ to ∞. The possible values of tan-1x2+x2+y3 is…

Q: Let y = 5x?. Find the change in y, Ay when x = 2 and Ar 0.4 Find the differential dy when a = 2 and…

A:

Q: Question 3 z+3 dx Use the substitution u = 1 - 2. 1 O sec I|+3 sin x+C OIn(1 – a) + 3 sin-1 a + C…

A:

Q: Evaluate the limit. (Use symbolic notation and fractions where needed.) logg (x) lim In(x) X00

A:

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: We use the concept of derivatives to find the absolute minimum and absolute Maxima