Solve the following and show the complete solution 1. Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x – y +z = 2 and x +y- 8z = 4.

Q: The integral of the given function csc x dx is equal to 3cos' x-10sinx cos'x-15sin xcOsx 15sin'x…

A: To evaluate the given integral.

Q: •A savaic has propossitien is a ? what is the Mimerical coefficient of -5xy^2? Simplify…

A: The answers are :

Q: 4y 1. Find all values of x such 49. Let F(x, y) = 2xy + 3x that F(x, x) = 0. %3D I

A:

Q: 2y Find the directional derivative of f(x, y, z) at P(5, 2,-4) in the direction from P to Q(4, 3,…

A: To find the directional derivative of the given function.

Q: Remember that rectangular form is z = a + bi and that polar form is z = r(cos 0 + i sin 0) Take…

A:

Q: What is the area of the region bounded by the graph of r2 16 cos 20? (Choose all applicable…

A: The curve r2=16 cos 2θ

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

A:

Q: f(x, y) = 2y – 6ry - x 2.

A:

Q: Prove from the precise definition of a limit: lim x = 4 x-2

A: We have to solve the limit using definition.

Q: 11. Eliminate the arbitrary constants of cx? + x + y² = 0.

A:

Q: Compute the length of the curve r(t) (-6t, 4t + 4, –5t – 3) over the interval 0 <t < 7. (Use…

A:

Q: The marginal cost function, in dollars per item, for producing the x th item of a certain brand of…

A:

Q: Whiteboard 21208780-7052-8916KS Rm 3 ebaut x- Gais ーズ+ メx

A: Given problem:- y=-x2 +2x, y=0  Volume using disk method about x axis

Q: esin 2x [In (cos 2a)]? 2esin 2( cos 2x In (cos 2x) + 2 tan 2] 2esin 2a (cos 2x ln (cos 2x) + 2 tan…

A:

Q: At which points on the curve y = 1 + 60x3 - 2x5 does the tangent line have the largest slope? 1 5…

A:

Q: 2. Use the Mean Value Theorem to show that f(x) = 2r sinh(r – 1) +2 – r %3D has a critical number…

A:

Q: Use Lagrange multipliers to find a vector in 3-space whose length is 4/3 and whose components have…

A: use lagrange multipliers to find a vector in 3-space whose length is 43 and whose components have…

Q: Solve the system by back substitution. - 2x - 4y -z -3w = - 5y - 30z - 10w = - 40 -4z -4w = -8 5w =…

A:

Q: Use the Lagrange multipliers to find the maximum and minimum values of f(x, y) = 2x + y – 2z subject…

A: Solve the following

Q: Solve the exponential equation algebraically. Round your results to three decimal places. Use a…

A:

Q: уз dy S 1+9y2 3.

A:

Q: FIND HE WORK DONE IN LIFTING Za lo00 lb OF COAL FROM À MINE (500ft. DEEP BY NEANS OF A CABLE WIIGH…

A:

Q: Find the directional derivative of f at P in the direction of a. f (x, y, z) = ry + z²; P(-4,–3,4);…

A: We need to find directional derivative.

Q: 3. [For students with ID # ending in 4 or 5.] Through the point (4, 2, -5) and perpendicular to the…

A: Here, the given equation of the plane is 3x+y-6z=8 So, the coefficients of x,y and z will give us…

Q: Calculate the Taylor polynomials T and T3 centered at x = a for the function f(x) = 17 In (x + 1), a…

A:

Q: 6. Find the volume of the solid obtained by rotating the region bounded by the given curves about…

A:

Q: ne indicated function y, (x) is a solution of the given differential equation. Use reduction of…

A:

Q: Find parametric and symmetric equations for the line satisfying the given conditions. Through the…

A:

Q: 2x 2x Find the absolute maximum and absolute minimum of the function f(x) = - 1 over the interval…

A:

Q: An object moves in a straight light according to the position function s(t) = 2te-t where s is in…

A:

Q: Find parametric equations of the line through (–3, 0, 3) that is parallel to 5i – 8j+ k. x(t) y(t)…

A:

Q: 4. Let f(x) be a function that satisfies f(3x) dx = 1 and 3f(x) dx = 15. Calculate f(x) dx. Show all…

A:

Q: Let g be a function that is defined for all x, x # 2, such that g(3)% = 4 and the derivative of g is…

A:

Q: Differentiate the following functions. eX+e=* y D .y= 2

A:

Q: Find f. f" (0) = 2e® + 3 sin 0, f(0) = 0, f' (0) = 1 Using O for 0. O f(0)=2e^O -3sin O f(0)=2e^O…

A: Given query is to find the function f(O).

Q: ind equations of the following. 2(x- 8)2 + (y- 4)2 + (2 - 7)2 - 10, (9, 6, 9)

A:

Q: ences have the following generating

A: We have to choose the correct options from the given options according to the given information

Q: Find the directional derivative of f(x, y, z) 2y at P(5, 2,-4) in the direction from P to Q(4, 3,…

A:

Q: Arctan°9x dx =b Arctan 3x+C, i+9x2 what is b?

A: Solving the given integral by substitution.

Q: Find the area of the parallelogram that has u = i – 2j+k and v = 3j +k as adjacent sides. NOTE:…

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A:

Q: Find an equation of the plane that is parallel to the plane x + 3y – 8z + 18 = 0 and contains the…

A:

Q: r = 4 cos 30

A:

Q: The thermometer reading 70oF is placed in an oven preheated to a constant temperature. After 1⁄2…

A: The temperature of the oven is 390°F

Q: x dx (7x2 + 3)

A:

Q: 3. y = V x - 1. х — 5. у — 0. теvolved at u aris

A:

Q: 2. Evaluate the following limits. x²-6x+9 b. lim X-3 x-3

A:

Q: b) How many bit (or binary) sequences are there of length six with a 1 as the first digit?

A: A bit string is list if 0s and 1s For each of our 6 bits we have 2 choices 0 and 1

Q: The curve y: 3/2 is rotated about the y – axis. Calculate the surface area for 0<x<2

A:

Q: Find the sum of the series. 2n n=0 6.

A: