A manufacturer has been selling 1400 television sets a week at $390 each. A market survey indicates that for each $24 rebate offered to a buyer, the number of sets sold will increase by 240 per week. a) Find the demand function p(x), where x is the number of the television sets sold per week. p(x)=    b) How large rebate should the company offer to a buyer, in order to maximize its revenue? $   c) If the weekly cost function is 91000+130x, how should it set the size of the rebate to maximize its profit? $

Q: 16. Solve the following systems of equations using the method of elimination and state the point of…

A: We have to solve the following syatem of equations using the method of elimination and state the…

Q: Find the limit lim h→0 lim h→0 f(−9 + h) — f(−9) h f(-9+h)-f(-9) h if f(x) = 829 - 6x².

A: To find the limit , if .

Q: 19 Let ƒ(x) = (19√x – 18) (2³ – 18) (2³ - 2 +23) - X Then the rate of change of the function at x =…

A:

Q: Given the vectors V and w in the figure below, X 13 근 AREA = 60 units² y

A:

Q: Jo Sta csc4 x cot6 x dx tan ³ x dx I se sec4 x dx

A:

Q: The temperature T in degrees Fahrenheit on a cold night x hours past midnight can be approximated by…

A: This is question of linear algebra Here relation between time and hour is given We have to find time…

Q: Approximate the critical numbers of the function shown in the graph. Determine whether the function…

A:

Q: Given = (8,−4,1) + t(4, 4, −2), find the point where the line intersects the plane with equation z +…

A:

Q: Find functions f and g so that fog=H. 2 H(x)=√x + 11

A:

Q: The following chart shows student population in a certain elementary school over a 5 year period.…

A:

Q: Differentiate. g(x) = g'(x) = 6x-1 7x+5 +x3

A:

Q: An initial investment amount P, an annual interest rate r, and a time t are given. Find the future…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: 29-32. Average and marginal cost Consider the following cost functions. a. Find the average cost and…

A:

Q: A ball is thrown vertically upward with an initial velocity of 96 feet per second. The distance s…

A: S= 96t-16t2Where S is the distance in feet of the ball from the ground after t second

Q: A B C Pick the one sheeted hyperboloid Pick the ellipsoid Pick the hyperbolic paraboloid D E Enter a…

A: Since you are asking multiple questions. We are answering only the very first question as per our…

Q: A ball is thrown straight down from the top of a 477-foot building with an initial velocity of -19…

A: As we know it is already solved that the position function is  and velocity function

Q: The limit represents the derivative of some function f at some number a. State such an f and lim h-0…

A:

Q: Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the…

A: Suppose oil spills from a ruptered tanker and spreads in a circular pattern. If the radius of the…

Q: Use the quotient rule to find the derivative of 6e +5 -2x5-4x7 Use e^x for e. You do not need to…

A: The given function is

Q: sin70 cos6 0 de (d)sin

A:

Q: Solve the initial value problem with piecewise right hand side dy dx y(0) = 2 where f(x) = y(x) =…

A:

Q: You want to have $100,000 when you retire in 10 years. If you can earn 4% interest compounded…

A:

Q: ·Sex tan² (ex) dx 3 .fx cos ³ (x²) dx

A:

Q: Use the graphs of f and g to evaluate the functions. (a) (b) 3 2 (f. g)(2) (gof)(2) y=f(x) 12 M 2-…

A:

Q: Consider the following. u = 6i + 4j, v = 9i + 7j (a) Find the projection of u onto v. 5.67i+ 4.41j…

A:

Q: Evaluate the function for f(x) = x + 3 and g(x) = x2 - 2. (f- g)(7t) (f- g)(7t) =

A:

Q: 5. Find the symmetric equations of the line passing through A (-1,-8, 1) and B(-1,-4,3).

A: The symmetric equation of a line passing through the points

Q: Find rule for sequence: 1/6, 3/8, 9/10, 27/12, 81/14

A: 1/6, 3/8, 9/10, 27/12, 81/14

Q: cot5 x csc ³ x dx | si S sin² x cos² x dx cos 7x cos 5x dx

A: To evaluating the following integrals.

Q: Find the volume of the solid generated by rotating about the x-axis the region bounded by y = 1.6*,…

A:

Q: The graph of a polynomial f(x) with integer zeros is shown in the figure to the right. Write its…

A:

Q: dy x²-3xy² Given = dx 3x²y-6y²-1 determine the function f. and f = f(3xy² - x²) + g(y); y = constant

A: Mdx + Ndy = 0 ----?(1)is exact,

Q: 8. Find a normal for the plane that passes through the points: P(2,-2, 3), Q (3, 2, 1), R(-1,-4, 2)

A:

Q: Suppose Jake is running a 15 mile race. Jake runs at a constant speed of 2 miles every 8 minutes.…

A: Jake is running a 15 mile race.Jake runs at a constant speed of 2 miles every 8 minutsLOPE INTERCEPT…

Q: https://www.myopenmath.com/assess2/?cid=112497&aid=8065477#/skip Question 16 Find Unit Vector Find a…

A:

Q: 11. Consider the plane and the line with these equations: 0 = 2x + y-z + 10 a) :: e must b) r = (−4,…

A:

Q: Use the graph of f and g. p(x) = f(x)g(x) q(x) = f(x) g(x) y 10 8 6 4 2 f 09 g

A:

Q: 16. S dx √x² - 6x + 13 x2

A:

Q: Let 15 ƒ(x) = (2x² + 3)¹ (2x² + 7) ¹5 Find the derivative and write the answer in factored form.…

A:

Q: Use the differential to approximate the number sin⁡(59)

A:

Q: Given a = (1,-5) and 7 = (7,2), find ||ā — v|| and ||ā|| – ||v||. - - Give EXACT answers. You do NOT…

A:

Q: Use the Chain Rule to find az/as and az/at. z = e-3x +7y, x = s/t, y = t/s əz as əz at =

A:

Q: 10√ 7x⁹ + 2x6

A:

Q: Solve the initial value problem 1+x y(1) = 6 y¹5 15(x+In/x +31,345,665,637.4) x>0

A: The given differential equation isinitial condition is given as,

Q: A manufacturer has been selling 1600 television sets a week at $480 each. A market survey indicates…

A: Using application of derivatives, we can solve the question.

Q: TT/3 tan5 x sec4 x dx S cos cos5 (sin 0) de Sta tan 4 x dx

A:

Q: s the statement true or false:  The solution of the initial value problem dy/dx = y^2 − 2y, y(1) =…

A: The given differential equation

Q: Use the Gauss-Jordan method to solve the system of equations. 8x - 4y = -3 40x-20y = 6 OA. (5,5) OB.…

A: We have given,  8x - 4y = -3   40x - 20y = 6

Q: 45-46. Analyzing slopes Use the points A, B, C, D, and E in the following graphs to answer these…

A: From the given graph

Q: the graph to solve the equation and inequalities. (a) x-1=-x+3/ (b) x-1<-x+3 (c) x-12-x+3 Foll - 17…

A: To find solution we check for the values of x from the graph