Evaluate the integral of: * dx x2 – 2x + 50 arctan (x - 1) + C arcsec (x - 1)/7 + C O 7 arcsin (x - 1)/7 + C O 7 arctan (x - 1)/7 + C 1/7 arcsec (x - 1)/7 + C arcsin (x - 1)/7 + C 1/7 arcsin (x - 1)/7 + C 1/7 arctan (x - 1)/7 + C 7 arcsec (x - 1)/7 + C

Q: Vectors v and w have magnitudes ||ü|| = 9 and ||w|| = 13 and the angle between these vectors is…

A:

Q: „T7/8 6) (1 + etan 2x) sec² 2x dx 16) B) - D A) e C) 2e

A: Given query is to find the value of the integral.

Q: Evaluate the definite integral. (Use symbolic notation and fractions where needed.) 12 dt 3t +4

A:

Q: Show that the lines L1 : x = 4 – t, y = 2t, z = 5+t and L2 : x = 1+ 2t, y = 3 – 4t, z = 5 – 2t are…

A: To show that the lines L1: x=4-t, y=2t, z=5+t and L2: x=1+2t, y=3-4t, z=5-2t are parallel and to…

Q: 1. State the domain and range of {(x, y)|y = + 3}.

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: y" + 4y' + 6y = 1 + e¬2t , y(0) = 0, y'(0) = 1

A: We need to solve the differential equation.

Q: Graph the following vector addition: + Start from the origin. One vector to show One vector to…

A:

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

A:

Q: A clothing manufacturer has the marginal revenue function MR(x)=30-0.2x, 0s xs 100 (in dollars per…

A:

Q: Given that Vf (5, -4) = 8 i – 7j, find the directional derivative of the function f at the point (5,…

A:

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

A:

Q: 1. Differentiate the following function: y = Jo Hs dt. 1+t3 ctan 2x 2. Differentiate the following…

A:

Q: Show that the lines L1 : x = 2 – t, y = 2t, z = 1 +t and L2 : x = 1 + 2t, y = 3 – 4t, z = 5 – 2t are…

A: To show that the lines L1: x=2-t, y=2t, z=1+t and L2: x=1+2t, y=3-4t, z=5-2t are parallel and to…

Q: Show that the lines L1 : x = 2 – t, y = 2t, z = 5+t and L2 : x = 1+ 4t, y = 3 – 8t, z = 5 – 4t are…

A:

Q: Set up and evaluate the integral for finding the area and moments about the x- and y-axes for the…

A:

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

A: This question can be solved by applying the concept of vector of magnitude x in the direction or in…

Q: A Use the method of Lagrange multipliers in Problems 7-10. I SL.

A:

Q: x = -Jy from y = 1 to y = 4

A: The objective of the question is determine the area bounded by the given function.

Q: A particle is moving with acceleration a(t)= 18t+4 its position at time t= 0 is s(0) = 5 and its…

A: Given query is to find the position of the partical at t = 4.

Q: e) True or False: If 25 oranges are placed into 22 baskets, then at least one basket must contain at…

A:

Q: Solve the differential equation. dy = 5 ex-y dx

A:

Q: During the summer months Terry makes and sells necklaces on the beach. Last summer she sold the…

A:

Q: Compute the length of the curve r(t) = (41² + 1, 81² - 5,1) over the interval 0 < t < 2. (Use…

A: To find the length of the parametric curve  r(t)=4t2+1,8t2-5,t3 over the interval 0≤t≤2. Here, let…

Q: Given that Vf(12, – 7) = 9i – 4j, find the directional derivative of the function f at the point…

A:

Q: . Use separable equations to find the general and particular solution of xy dx – (x +

A:

Q: 3T/4 18) 3 sec 0 tan 0 de

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: A company determines that its marginal cost, in dollars, for producing x units of a product is given…

A:

Q: Find a plane through the points (-5,-1,5), (2,4,7), (7,5,-6)

A:

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

A:

Q: In(1+ V x2 + y2 + z²)dzdydx. -VI-x²

A:

Q: Find the derivative using the First Fundamental Theorem of Calculus. 13)음 V8t +7 dt dx

A:

Q: Σ E n=2 n·ln(n)

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: Solve the initial value problem. - + 4y = 7, y(0) = 1 dt The solution is y = O

A: Given query is to find the solution of the differential equation.

Q: alculate V3 + 2i. Give your answer in a + bi form. In polar form, use the angle 0 < 0 < 2n.

A: Given query is to find the value of a and b.

Q: 43. fry(x, y) if = e"* f(x. y) en?

A:

Q: x³ – 36x 20

A:

Q: Evaluate the integral. S(-241 - s)at 3 xdx = 2 15 given, a'dr = x²dx = dx = 1, O -36 O -146 O -114 0…

A:

Q: Question Determine where the local maxima and minima occur on the graph given. 12 10- 8- -12 -10 -2…

A: From the given graph we can see that there are two local maxima.

Q: Consider the following problem: a box with an open top is to be constructed from a square piece of…

A:

Q: The dimensions of avectargubr region are varying with the bimeltsaccoding 1-2728 cmfsee and wa3t+6…

A: L= 2t2-8w= 3t+6Let A be the area of rectanglegiven : dAdt= 360 cm2/sec   A= L×wA=(…

Q: Find Duf at P. f(x,y,z)=4x^3y^3z^3;  P(1,−2,1);  u=13i+23j−23k

A:

Q: The dimensions ofa veclangubr vegion are varying with the bimeltsaccotdng 1-28 Cm/see and Wazt+6…

A:

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

A: Given query is to find the parametric and symmetric equation.

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

A:

Q: v = 8i – 5j – 4k - w = -5i + 9j – 4k Compute the dot product v w.

A: The formula for dot product of two vector a→=a1i^+a2j^+a3k^ and b→=b1i^+b2j^+b3k^ is given by the…

Q: Ray OB is the bisector of ∠AOC. The measure of ∠AOC = 7x+2 degrees and ∠ COB = 5x – 8…

A: A detailed solution is given below

Q: Complete the parametric equations for the line where the planes 8x + 13y – z = 27 and 9x + 15y – 12z…

A: