Suppose that a company's sales volume y (in thousands of units) is related to its advertising expenditures x (in thousands of dollars) according to the following. xy 40x + 8y = 0 Find the rate of change of sales volume with respect to advertising expenditures when x = 8 (thousand dollars).

Q: Find the first and second derivatives of the function. Check to see that your answers are reasonable…

A:

Q: Let a = (4, 0, 5) and 6 = ( − 3, − 1, 1). - Find the projection of b onto a. projā b = < Calculator…

A:

Q: Integral e^x/9+e^2x=

A:

Q: Consider the following. f(x, y) = 9x y A /2 sin(0) 1/2 ([ 0 r = sin 0 (a) Set up an iterated…

A: Given f(x,y)=9x

Q: 5:46 PM Fri Mar 24 y = f(x) for a = webwork.utrgv.edu The graphs above are approximate graphs of f…

A:

Q: Determine the volume obtained by rotating the area enclosed by y = x(2 - x) and y 0 about the line x…

A:

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A: Solving the following problem

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = x3, 0 ≤ x…

A:

Q: Find f(g(x)) for f(x): = Of(g(x)): 6x² 18 Of(g(x)) = 17x² + 1 O f(g(x)) O f(g(x)) O f(g(x)) = 6 17 +…

A:

Q: The functions describes the distances from the origin at time t of an object in rectilinear motion.…

A:

Q: Find a plane containing the point (-5,6,5) and the line Calculator Check Answer x (t) y(t) z(t) = =…

A:

Q: Solve using the elimination method. 0.2x 0.5y = 1.1 0.5x 0.2y = 1.7 (Hint: Since each coefficient…

A: 0.2x-0.5y=-1.1.....(1)0.5x-0.2y=-1.7..........(2)

Q: b) lim x² +8x+16 X-1 x²-16

A:

Q: b.) Tim X-8 X x - 8 √6-√x ² 2

A:

Q: The position function of a particle is given below. s(t) = t³ + 6t² − 33t, t ≥ - 0 When does the…

A:

Q: 2. (a) ( 5) Evaluate مل ) + رند tim → o+ ** * → + x inx - Sin x

A:

Q: Sketch the region of integration, reverse the order of integration, and evaluate the integral. 44 SS…

A: To sketch the region of integration, to reverse the order of integration,  and to evaluate the…

Q: Let f(x) = 7x sin(x) cos(x). Evaluate f'(x) at x = ³7. ƒ'( ³ ) =

A: I have appended the formula used in the solution part of the question

Q: Solve the equation y" +4y= S(t-4π), y(0) = 1/2, y'(0)=0

A: The given differential equation: y''+4y=δt-4π, y0=12, y'0=0

Q: Find the volume of the solid enclosed by z = 6, y = 0, y = 16-r², and z + y = 22

A:

Q: Find all the complex roots. Write the answer in exponential form. The complex cube roots of 16+16i

A: Given:  z = 16 + 16i

Q: (3) Evaluate the slope of the tangent line for the graph of the x2 x²+1 at x = 1 function h(x) =

A: The given function is: hx=x2x+1  To find the slope of the tangent line at x=1

Q: A lamina with constant density p(x, y) = p occupies the given region. Find the moments of inertia Ix…

A: Solution is given below:

Q: Two circles have the same center. The inner circle has radius r which is increasing at a rate of 3…

A:

Q: Differentiate the function with respe z' = Z A .6 yo + Bey

A:

Q: Find the sum of the convergent series. (Round your answer to four decimal place Σ (sin(7))" n = 1

A:

Q: Find the length of the vector. v = (4, 0, -2,-5) ||v|| =

A: v=(4,0,-2,-5)

Q: = 1/₂ F² A region R is shown. Decide whether to use polar coordinates or rectangular coordinates and…

A: We have to find the integral.

Q: Find the general solution of the following reducible second-order differential equation. Assume x, y…

A: Note :- Since you have posted multiple questions, we will provide the solution only to the first…

Q: do you know the formula for finding integrals

A:

Q: 2. Find the area of the region between two concentric circles r =7 and r=10

A:

Q: Consider the ellipse 9x² + 64y² = 576. Consider the point P(16,3). Find an equation for both lines…

A:

Q: Consider the function g(t) = = t 7+t²

A:

Q: Consider the following. Sk (4x - y) da, where R is the region in the first quadrant enclosed by the…

A: Given that  R is the region in the first quadrant enclosed by the circle x2+y2=4and the lines x=0…

Q: Solve differenthal equation Y" + 1964 = 0

A:

Q: Consider the ellipse 4x² + 2xy + 2y² = 88. (a) The derivative on this curve is dr dy = dx (b) Find…

A:

Q: Let f(x) = 8x³ + 1. Find the open intervals on which f is increasing (decreasing). Then determine…

A:

Q: 3x³+1 f) lim x →∞0 4x³-1

A:

Q: The number of cell structures in a Minbari stem cell (fictional) is modeled by f(t) = 1 + 30t - 10t³…

A:

Q: A particle moves according to a law of motion s = f(t), t≥ 0, where t is measured in seconds and s…

A:

Q: For the given double integral, sketch the region of integration and write an equivalent double…

A: Given: I=∫1121∫y11ydxdy It means that the region bounded by the curves x=y, x=y11 from 0 to 121 is…

Q: The cost of manufacturing x electric woks in one day is given by C (x) = 2x³ – 16x² + 4x and the…

A:

Q: Let f(x) = (3x - x²) if 0 ≤ x ≤ 3 and f(x) = 0 if x 3. (a) For what value of k is f a probability…

A:

Q: Find the inflection points of f(x) = x¹ + 9x³ — 15x² + 15. (

A:

Q: Solve the equation for the indicated variable. a +4 b+4; for a b a a X +

A:

Q: Use Question 1 and find the critical points for the function 2²³ 5 -4+1 3 1 + (+)² for x = [1,1].…

A: To find the critical points of the function F(x), we need to find the values of x where F'(x) = 0 or…

Q: 9. A ladder 25 feet long is leaning against the side of a house. The base of the ladder is pulled…

A: Note: Since, the student has mentioned to solve question no. 9, so we are  solving according to this…

Q: b) y = 8 + 1 4x² on [1,2]

A:

Q: After traversing your continuous path, you finally arrive at Gate 5. Your computer reads the gate's…

A: Given that , fx=x6-2x , gx=x2+4x-59 , hx=2x-11 and mx=fx·gx , nx=gxhx

Q: Differentiate the function. h'(x) = h(x) = In(x + √x²-2)

A: Use the derivative of log function.