Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive. Minimize f(x, y, z) = x² + y2 + z2 Constraint: x + y + z - 21 = 0 f( еВook

Q: Find the total of the areas under the standard normal curve to the left of z1=−2.575and to the right…

A:

Q: Evaluate the integrals for f(x) shown in the figure below. The two parts of the graph are…

A:

Q: -2 e* sin(x) -dx 1+ x2

A: the solution is as follow we will solve the given problem by numerical method  Trapezoidal rule

Q: For a general graph of a function x = g(y) that may go to the left and the right of the y-axis,…

A:

Q: Suppose the graph y f(x) lies entirely above the a-axis. Which of the following gives the %3D…

A:

Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable 8 1+ 4 lim…

A:

Q: Find an equation of the plane that passes through the point P(-8, –3, 7) and has the vector n = (-8,…

A:

Q: (a) f(x) dx 10 15 (b) f(x) dx

A: Here we have to find the given integral using the area under the graph

Q: where k > 0. 4. s(s-k)'

A:

Q: The graph of a function f is shown below. ||| ||||| 14 3- 2 1. -4 -3-2-1 -3 4 To combine intervals,…

A:

Q: ax + b XS -1 %3D ax + x + 2 b x> -1 d the values of a and b such that f is diffe

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

Q: Determine the inverse Laplace transform of the function below. 3. +4 Click here to view the table of…

A: Given problem:-

Q: Find Duf at P. f(x, y, z) = 6x³yz?; P(2, –2, 2); u =

A:

Q: Express the given parametric equations of a line using bracket notation and also using i. j. k…

A:

Q: The graph of f is shown. y y = fx) 6. 6. 12 18 24 Evaluate each integral by interpreting it in terms…

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the…

A:

Q: Find all antiderivatives for the following function. Check your work by taking the derivative. f(x)…

A: The function F(x) which is antiderivative of f(x) can be found by finding the indefinite integral of…

Q: Solve the polynomial equation by using the root method, and check the solutions graphically. 3x3 -…

A: Explained below

Q: Evaluate the following indefinite integral. 12 J 12 dx 12 12x %3D +

A:

Q: any method to determine if the series converges or diverges. Give reasons for (n!)8 Σ (7n)! = 1

A:

Q: Let u - (1, 2, 3), v (4, 4, -2), and w = (3, 0, -3). Find 4u + Sv - w. STEP 1: Multiply each vector…

A: The solution is given below

Q: Quest An exercise machine with an original price of $970 is on sale at 10% off. a. What is the…

A:

Q: (1) Show that planes perpendicular to the r-axis have equations of the formr=a sec 0 in cylindrical…

A:

Q: Find the value for k so that the function will be continuous at x = 1. - 5x2 - 30x + 35 - 10 if x <…

A:

Q: 1. Consider the function f(x) = x - 4 on the interval [-2,2]. Calculate the Riemann sum using: a.…

A:

Q: 4. CHOOSE one of the following functions (CIRCLE YOUR CHOICE): y = 2 log(x + 3) – 5 Asymptote(s)…

A: As per our guidelines, we can answer only three sub-parts in a single request. Kindly re-post the…

Q: x²+2x 1. S**** is equal to x+1 c. +x + In\x + 1| +c 1 А. х — + C С. 2 1+x x2 В. 2 D. -+C 1 + x –…

A:

Q: 13 dt 9+6t 4 (9+6t)5

A:

Q: 8 sec 0d0 3. S V4 + 4 cot2 0 is equal to A. 4 ln csc 0 + C В. 4 In sec ®+ С C. 4 In cos 0 + C D. 4…

A:

Q: у" + бу' + 8.96у %3D0

A: Solved below

Q: 14. Which of the situations below could – 100(+7)? A plane, currently flying at an alti A plane,…

A:

Q: Find an equation of the plane that passes through the point P(5, 6, 2) and has the vector n = (1,7,…

A:

Q: Find the vector component of v = 2i – j+ 3k along b = i+ 4j + 8k and the vector component of v…

A:

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-8,-6)…

A: Let's find.

Q: +t, 2t +t, 6t} O sis a basis of P O sis not a basis of P3.

A:

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

A: This is a problem related to differential equation by reduction of order concept. Please find the…

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

A:

Q: atical expression or equation. x is nine more than five times the one more than three times the nur

A: We have to convert in mathematical form from the given information

Q: Use the quotient rule to prove the derivative of: [Hint: change into sin x and cos x a I. tan x 2.…

A: As per our guideline we are supposed to be answer only three subpart of question you can repost…

Q: Find two unit vectors in 2-space that make an angle of 45° with 9i + 4j. NOTE: Enter the exact…

A: Solution: Let u = ai+bj makes an angle of 45 degree with v = 9i +4j

Q: Use the graph of the polynomial function f(x) (a) to solve f(x) = 0, and (b) find the factorization…

A:

Q: Determine whether the sets S, and S, span the same subspace of R. s = ((0, 0, 1). (0, 1, 1), (8, 1,…

A:

Q: Find the vector component of v = 2i - j+ 3k along b = 6i + 6j + 7k and the vector component of v…

A:

Q: Suppose you deposit $3000 at 4% interest compounded continously. Find the average value of your…

A:

Q: 1 Integrate: S tan*÷x dx 3

A:

Q: Find all the antiderivatives of the following function. Check your work by taking the derivative.…

A:

Q: Given the plane i = (-2, 1,5) + s(3, -2,0) + t(1, 1, 5), s,t € R. The plane cuts the x, y and z-axes…

A:

Q: Select an inequality relating e/x, and Vxecos (3z/x). evx < Vxecos (3z/x) e evx < < Vxecos (3z/x) e…

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: y" + 2y' + 2y = 0, y(0) = 0, y'(0) = 15, %3D %3D %3D

A: answer is in next step