(b) Find the distance from D to the plane containing A, B, and C. NOTE: Enter the ezact answer. Distance = 9.42

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction I|v|| =…

A: The objective is to find the vector v.

Q: 5. S(-3 Vx- 6x Vx) dx

A:

Q: Consider the following function. 1 f(x) : X. Find its average rate of change over the interval [4,…

A:

Q: The radical center does not existif the circles are concentric TRUE FALSE

A:

Q: 1. Determine the absolute extrema of f(x) = (sin x – 1) cos x on 2' 2 if they exist, and identify…

A: Given:-f(x)=sinx-1cosx,        x∈-π2, π2f'(x)=sinx-1ddxcosx+cosxddxsinx-1…

Q: Find the arc length of the parametric curve. x = 8 cos(t), y = 8 sin(t), z = 6t; 0 <t < T L = ||

A:

Q: Consider the following. u=i+j+k v = 2i +ì-k Find u x v. Determine if uxv is orthogonal to both u and…

A:

Q: 3) The straight line l passes through the points (0,1,5) and (2, –2, 1). Find the y - and z…

A: Using Cartesian equation.

Q: Question Given the function of f(x) = -4x2 - 5x + 1 on the interval [-5, -2), find a point c between…

A:

Q: If P(A or B)=4/5, P(A)=2/3 and P(B)=3/5, then what is the value of P(A and B)? *

A:

Q: Solve the given differential equation by separation of variables. dy - ху + 4y — х - 4 xp ху — 5у +…

A:

Q: 4x2 + 4x 7 If y = find: 6 5x dy %D da

A: Consider  y=4x2+4x-76-5x

Q: 2 2 Write the equation in polar form: x + y = 225 %3D

A: Given,               x2+y2=225

Q: integral all of this and show your solution: 1.  ꭍx^(-2)dx 2.  ꭍ√(x^2 ) dx 3.ꭍdx/xlnx

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others…

Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is…

A:

Q: The limit of a constant is always a constant. O FALSE TRUE

A: To proof the limit of a constant is always a constant. Let the function fx=k, here k is a constant

Q: 10. xy' + 2y = 6x²/y

A:

Q: Consider the following differential equation. (x2 + y2)y′ = y2 Let  f(x, y) =  y2/x2 + y2 .  Find…

A: This is a problem of differentiation of the function. Based on the general formula we will answer…

Q: y 4 3 2 -6 -5 +4 -3 -2 -1 1 2 3 4 5 6 -1 -2 -3 y = f\x) -4 1.

A:

Q: Suppose that f is a function given as f(r) = - 2² +2x + 4. Simplify the expression f(x + h). f(x +…

A:

Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, -1). %3D %3D v (0, 6) %3D b =

A:

Q: Compute the following derivatives. Show in at least THREE steps how the chain rule or the outside-…

A:

Q: 15.lf f(x)=Vx f(x)-f(16) The lim x→16 x-16

A:

Q: Business Decisions Sharon, the owner of the Brentwood Motel, is planning to renovate all the rooms…

A:

Q: 4. Represent each of the following in the exponential form: (a) 1+i (b) Vz (c) vi, V-i

A: The objective is to find the exponential form.

Q: The world population at the beginning of 1990 was 5.3 bilion. Assume that the population continues…

A:

Q: 5) (x3 cos 9x dx

A:

Q: Find an equation of the plane that passes through the points (-2, 1, 1), (0, 4, 7), and (1,0, –1).…

A: The plane that passes through the point,       -2,1,1, 0,4,7 and 1,0,-1

Q: Find the direction cosines and angles of u and show that cos a + cos ß + cos y = 1. (Round your…

A:

Q: Suppose that the velocity v(t) (in meters per second) of a sky diver falling near the Earth's…

A:

Q: 1) (a) Convert BOTH of the below equations from either polar to rectangular or rectangular to polar.…

A:

Q: Compute the first four partial sums S1, .., S4 for the series having n th term an starting with n =1…

A: In this question we have to find partial sum.

Q: dy 3) Determine the of : In (ху?) %3D х у dx

A:

Q: A. Examine the function for relative extrema and saddle points 1. f(х, у) 3 х2 - ху — у? — 3х — у

A:

Q: The two figures are similar and regular solids. Find their mass if the sum of eir mass is 120g. e1 =…

A:

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (9, 5)…

A:

Q: 1. If f(x)=1/x, which of the following is the simplified form of the difference quotient? * -h -1…

A:

Q: integrate all of this and show your solution: 1.  ꭍx^(-2)dx 2.  ꭍ√(x^2 ) dx 3.ꭍdx/xlnx

A:

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. CSC x…

A:

Q: Suppose a person travels at a rate of 2 ft/hr toward the foot of a street lamp pole 62 ft high. The…

A:

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A:

Q: 16. Find the number of units x, measured in thousands, that will minimize the average cost function…

A:

Q: d) Producers' Surplus (Round all values to the nearest integer and do NOT use commas or dollar…

A:

Q: Consider the following. u = (6, -1, 0) v = (-6, 5, 0) Find u x v. Determine if u x v is orthogonal…

A:

Q: CURRENT OBJECTIVE Determine the limit at infinity of a polynomial function Question For the…

A:

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: Here, the required plane is perpendicular to the vector n=-2i+8k.

Q: 3- x 3) dx → S2xe* dx

A: To evaluate the given integrals.

Q: Find the component form and magnitude of the vector v with the given initial and terminal points.…

A:

Q: Find the point that is 2/5 of the distance from C to D.

A:

Q: Find the angle 0 (where 0° < 0 < 180°) between the following vectors. Give your answer accurate to…

A: