Let a = ci + j and b = 12i + 16j. Find c so that the angle between a and bis- Round your answers to four decimal places and enter the values in increasing order. C = C2 = i

Q: dx =+c 6. 2.

A: We can solve the given problem as follows:

Q: Find the vector component of v = (4, - 1, 7) along b (3, 6, -6) and the vector component of v…

A:

Q: Given that arcsec e) + (x – y²)² = 2. (a) Find dy using implicit differentiation. dx dy using…

A: Given,            arcsecyx+x2-y232=2

Q: af when r = 2, t =- 1 of the function ar 4. Use the Chain Rule to find- f(x, y, z) = e3xy² cos 2xyz…

A: This is a problem related to chain rule for differentiation. Based on the formula we will find out…

Q: Find the solution with the given initial condition. r"(1) = (e', sin (1), cos (t)), r(0) = (1,0, 1),…

A: First we integrate r"(t) twice and then imposing given initial conditions we get our required…

Q: Let a=ci+ja=ci+j and b=9i+45jb=9i+45j. Find c so that a and b are orthogonal.

A:

Q: Let a = ci +j and b = 7i + 28j. Find c so that a and b are orthogonal. c =

A:

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

A:

Q: Find an equation of the plane through (– 1, 3, –4) that is perpendicular to the planes 8x – y + z =…

A:

Q: Find an equation of the plane through the origin that is parallel to the plane 4x – 3y + 5z + 10 =…

A:

Q: 1. Budgeting for least cost. A manufacturing company pro- duces two models of an HDTV per week, xr…

A:

Q: Question Evaluate the following limit using L'Hospital's rule. 60 lim -12 17x2 - 133x + 588 7x - 84…

A:

Q: 2. Evaluate the following limits. /x²+3 d. lim X-0- X

A:

Q: 2. Evaluate the following limits. cos X h. lim-

A: Limit

Q: Are the lines = 7+12t, y = 12–10r, z = 1+2t, and.x = 6+13t, y = 8+2t, z = 10–5t parallel? O No O Yes

A:

Q: Find the vector component of v = (4, – 1,7) along b = (6, 6, –7) and the vector component of v…

A:

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

A:

Q: Evaluate the given Mtegral y ehanging f2x°ydĂ, uneve O is the top half of the disk the polar…

A:

Q: Find y' in the function In (xy + x+ y) = 2 using implicit differentiation.

A: The given equation is: ln (xy+x+y)=2...(1)

Q: Find an equation of the plane that passes through the points (3, 3, 5), 2, 2, —1), аnd ( —5, 3, 4).…

A:

Q: 2. Let g(x) = ev cos +, Approximate the value of g(0.2) using the second degree Maclaurin polynomial…

A:

Q: 1 Use a limit comparison to test the convergence of |n+1 n=1

A: Given series ∑n=1∞1n+1 Recall limit comparison test

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

A: The answers are :

Q: The evaluation of 3y3 e*y dxdy is е - 1 е -2 None of them O

A:

Q: th (a) Write a nonrecursive formula for the n term of the arithmetic sequence a based on the given…

A: We need to write a non-recursive formula.

Q: Sin 26 de 9 sinte+4

A:

Q: Thìnking. Inquiry. Problem Solving.[11] (3] 13. Find the equation of the following graph. Give your…

A:

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

A:

Q: Two angles are supplementary. If 2 times the measure of one angle is 6 times the measure of  the…

A: This question is based on that supplementary angles sum equals 180 degree.

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (5, 2)…

A: Given query is to fins equation of the line.

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: 12. Solve the initial value problem where v = xex, y(0) : v (0) =- 2: v (0) =- 3.

A:

Q: How can you say that S (x² + 5x + C) dx = 3x + 5 is incorrect?

A: Given problem:-

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

A:

Q: -4x2 f(r): r(r+8)(r – 2) (x+2)3 8(7r - 4) (x+2)4 with f'(r) = and f"(x): (r + 2)2 ' a. Find the…

A:

Q: p³ + x² – 4 4x = x +1+ - 1. Consider the function f(x) Note that - 4° x² – 4 x2 (x2 – 12) (т? — 4)2…

A:

Q: x cos x² 2. X C0 dx -siny

A:

Q: A piece of wire 5 m long is cut into two pieces. One piece bent into a square and the other is bent…

A:

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

A:

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

A: The curve rt=-6t, 4t+4,-5t-3 over the interval 0≤t≤7

Q: Use the properties of logarithms to expand the expression as a sum, difference, and/or constant…

A:

Q: Let T3 be the Maclaurin polynomial of f(x) = e*. Use the Error Bound to find the maximum possible…

A:

Q: Use vectors to find the lengths of the diago that has i + j and i- 22j as adjacent sides. NOTE:…

A:

Q: Evaluate the integral. -241 15 given, 7 x²dx = xdx = dx = 1. O 36 O -146 O -114 0 4 O -61

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

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

A:

Q: Question A tank is shaped like an upside-down square pyramid, with base of 2 m by 2 m and a height…

A: The volume of square pyramid with side of base a and height h is given by, V=13a2h At any height the…

Q: Use spherical coordinates to show that the volume of a sphere of radius R is V = *nR³.

A: Given the radius of sphere is =R  Then equation  of sphere is                      X2 + Y2 + Z2 = R2…

Q: Calculate r' (t) and T(t) and evaluate T(1). r(t) = (6+ 71,1,5 – 1²) (Give your answers using…

A:

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the ezact answers in terms of i.j…

A:

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

A: Solving the given integral by substitution.