S |8:xydxdy y=-2 x=1

Q: The marginal cost of manufacturing æ yards of a certain fabric is C'(x) = 3 – 0.01x + 0.000006x² (in…

A: This is a problem related to changes in cost per yards of production. Based on the general formula…

Q: 2) (a) Using the method of Lagrange multipliers find the points at which e^(xyz) has a maximum or a…

A: Given problem:- (2) (a) Using the method of Lagrange multipliers find the points at which e^(xyz)…

Q: 1.92 Referring to the definition in Exercise 1.91, answer the following questions. a) Prove that…

A:

Q: You deposit $1000 in an account with an annual interest rate of r (in decimal form) compounded…

A:

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

A:

Q: Find and classify the critical points of f(r, y) = 2y²x- ya? + 4yx.

A: Here we have to find and classify the critical points of f(x,y) = 2y2x - yx2 +4yx .

Q: Use Green's Theorem to evaluate the line integral along the given positively oriented curve. |…

A:

Q: For each of the following series, use the sequence of partial sums to determine whether the series…

A: For the following series, by using the sequence of partial sums to determine whether the series…

Q: y = 4e" Vx et y = x2 – 1 x2 – 1

A:

Q: 3(x +2)" In(n) 2. Consider the power series What is the centre a of this power series? What is n=2…

A: Solve the following

Q: Find the length of the segment of the curve y = f (x) = e ^ x between the abscissa points x = 0 and…

A:

Q: Find the gradient of the function at the given point. f(x, y) = 4x + 3y2 + 6,    (1, 4) ∇f(1, 4) =

A: As we know that; The expression for the gradient vector; ∇fx,y=i∂∂x+j∂∂yfx,y=i∂fx,y∂x+j∂fx,y∂y…

Q: 1 1-xl-x²-y? Evaluate the integral S S [dz dx dy 0 0 0

A: We will evaluate the given integral in this question.

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A:

Q: 10 Below is the graph of y = f(x). Find | f(x)dx. Round your answer to three decimal places. 5 10

A: Given:      ∫210fx dx   = Area under the curve between x=2 and x=10

Q: 6 + 2n What is the limit lim In equal to? 1 + 9n n 00 Select one: O In 6 O In 9 O In 2 O None of the…

A: We have to find the limit  limn→∞ ln6+2n1+9n.   L’Hospital’s Rule: Suppose we have…

Q: The limit represents f '(c) for a function f(x) and a number c. Find f(x) and c. 2 Vx - 10 lim x- 25…

A:

Q: 8 x2 + 16 dx x2 The integral is equal to ...

A:

Q: Find the gradient vector field of f. f(x, y, z) = x cos(8y/ z)

A:

Q: Exercise 3. Use the properties of definite integral in the following: a) If f f(x)dx = 12, and…

A:

Q: We can find the inverse of a matrix by row reduction. Suppose matrix A is given and we wish to find…

A:

Q: Find two unit vectors orthogonal to a = (2, 5, 0) and b = (3,0, 5) Enter your answer so that the…

A:

Q: A company invests $19,000 to produce a product that will sell for $56.85. Each unit costs $9.20 to…

A:

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

A:

Q: Evaluate the volume of the solid generated by revolving the plane region about an axis. Show the…

A:

Q: We can find the inverse of a matrix by row reduction. Suppose matrix A is given and we wish to find…

A: Explanation of the answer is as follows

Q: Find the f( for this f (x) = l09, x Cos-lx

A:

Q: 2 sin 3at where a is any positive constant and s > a.

A:

Q: The graph of f is shown. State the signs of f'and f" on the interval (0, 2).

A: A function f(x) is increasing if              f '(x) >0 The graph of the function f(x) is…

Q: Justify your answer whether the following functions are continuous or not at a certain point or…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: Evaluate. (Be sure to check by differentiating!) 8 dx, x# - 8+ 9x J8+ 9x dx = (Type an exact answer.…

A:

Q: The rectangular coordinates of a point are given. Plot the point. (9, 0) 15 10 10 -10 -5 10 10 -5 10…

A:

Q: Find the Maclaurin series for the given function.

A:

Q: Given the power series Σ 4 (x - 3)" - n = 0 n + 2n Find the "Radius of Convergence" for the series.

A: Radius of convergence of the given power series  ∑n=0∞ 4n2+2nx-3n

Q: Evaluate the following limit. (8x² -) lim (ху) - (6, -5) Select the correct choice below and, if…

A: In this question, we will find the limit of the function along two different paths .

Q: 2.33 Let p(r) = x4 + x³ -- 2x2 + x + 1. Prove that the polynomial equation p(x) = 0 has a root in…

A:

Q: 2. Use the Mean Value Theorem to show that f(x) = 2x sinh(x - 1) + 2* - x has a critical number…

A:

Q: 3. A curve has parametric equations r = sin(3t) and y = cos(t) where t takes all real %3D values. dy…

A:

Q: 10. Find the points of inflection of the curve y f(x)=x³ -x.

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find Laplace ice transforms of the ictions: suonpun f(t) = t – 2e3t

A:

Q: Consider the following planes. -6x + y + z = 6 24x - 4y + 6z = 36 (a) Find the angle between the two…

A:

Q: sin 3at where a is any positive constant and s > a. t

A:

Q: how would you find y'' for y = tan(x)

A: Solution:  Given that y= tan(x) Now find y'':

Q: 21 4 B=5 -2 A= %3D 3 0 Find the Lollowing 5 Only) (chease A+B 3A -B

A: A=2-130  , B=521-21) A+B    =2-130+521-2  =2+5-1+23+10-2  =714-2A+B=[714-2]

Q: 48.x = 1, y = t², z = t³; (1, 1, 1)

A: This is a problem related to vector calculation. Based on the general formula of plane we will…

Q: A company introduces a new product for which the number of units sold S is given by the equation…

A:

Q: Calculate the taylor polynomialT3 Centered at X=a for the given function and values of a and…

A:

Q: Given the Power Series E A, (x - *)" n = 0 The radius of convergence ( L) is given by the rec A L =…

A:

Q: 5th derivative of y = log x^5 to the base 2

A:

Q: Sketch the curve. a) r=-2 sin 0

A: