The marginal cost of producing the xth box of light bulbs is  13 − (x/30000),  and the fixed cost is $20,000. Find the cost function C(x)

Q: y²-xy Let f(x, y) = { x² + y² 3 if (x, y) = (0,0) if (x, y) = (0,0) then f(x, y) is continuous at…

A:

Q: ii) the evaluation of ffdzdxdy is 2.

A: Given triple integral ∫-11∫y21∫0x2dzdxdy

Q: Find the gradient field F = Vo for the potential function = F= 2y |x

A: To solve the following

Q: 1 | lff ( x ) = = 3² 3 ² - 2²/ 4 4 -x4--x³+60, then what is the set of x values for which f has a…

A:

Q: 2. Find an equation (parametric and vector form) of the line if the line is perpendicular to the…

A:

Q: If sinh x = 20 99 3 find cosh x, tanh x, coth x, sech x, and csch x. Given that sinh x = cosh x = 20…

A:

Q: p=D(x) = 36.5-0.03x; p= S(x) = 14 +0.06x e value of x at equilibrium is

A: The demand function is given as D(x)=36.5-0.03x. The supply function is given as S(x)=14+0.06x .

Q: Find the limit: x²y lim (z,y) → (0,0) x² + 8y2 11

A: The given limit limx, y→0, 0x2yx2+8y2. We have to find this limit.

Q: Use a graphing utility to graph the region bounded by the graphs of the functions. f(x) = 54xx²,…

A: To solve the following

Q: Bob has 8 pieces of square index cards that each measure 8 inches per side. Using a pair of…

A: Total cutting pieces =( no. Of pieces)×(2^n) Where n= repeated processes of cutting pieces   No. Of…

Q: Change from rectangular to spherical coordinates. (Let p≥ 0, 0≤ 0 ≤ 2π, and 0 ≤ y ≤ T.) (a) (0, 6,…

A: The rectangular coordinates.

Q: Show that if G is an Abelian group which is not isomorphic to Cp for a prime number p, then G is not…

A: Show that if G is an Abelian group which is not isomorphic to Cp for a prime number p, then G is not…

Q: Find an equation of the ellipse drawn below, then find its foci. 1 x Select one: O a. (x²/4) +…

A: The given graph of ellipse is:

Q: The radius of a circular oil spill after t minutes is given by r(t) = √16t. Find the instantaneous…

A:

Q: Solve: 1092(x-7) + 109₂ x=3 forX. 2 X

A:

Q: The solotion was incorrect.

A: Question : Compute the specified quantity. A corporate bond paying $3,000 after 30 weeks earns 0.06%…

Q: lve each of the following parts. You do not need to simplify. d à. dx π Evaluate * cos(t³) dt.

A:

Q: Use the power series 1 1 + x f(x) = (-1)^x, x < 1 n = 0 to find a power series for the function,…

A:

Q: Estimate the integral Väda using a left-hand sum and a right-hand sum with n = 3 subdivisions. NOTE:…

A:

Q: A bacteria culture starts with 920 bacteria and grows at a rate proportional to its size. After 4…

A:

Q: "//₁² F. ds, where F(x, y, z) = xi-x³z2j + 4xy²zk and S is the surface bounded by cylinder x² + y2 =…

A:

Q: A manufacture has been selling 1500 television sets a week at $390 each. A market survey indicates…

A:

Q: Step 4 To find Step 5 To find dy dx -, we divide dy dt dx dt dy dx d²y dx2' = = dy dt d dt dx -10t +…

A: Write the dydx from step 4

Q: 1. (a) Rewrite the indefinite integral fx³√9 – x² dx completely in terms of 0, sin(0 and cos (8) by…

A: 1) a) Rewrite the indefinite integral ∫x39-x2dx completely in terms of θ, sinθ and cosθ by using the…

Q: Given that the point (54, 72) is on the terminal side of an angle, 0, find the exact value of the…

A: We are authorized to answer one question at a time, so we are answering the first one, please repost…

Q: Find the local maximum of f(x): x + 2 x² +6 Be sure to show your work for: Finding the derivative…

A:

Q: -9-8-7-6 -5 -3 -2 -1 9 8 7 6 5 4 3 2. + -2 -8 -9 3 d -5- -6 -7 y X 2 3 4 5 6 7 8 9 Write an equation…

A:

Q: A piece of cardboard measuring 14 inches by 11 inches is formed into an open-top box by cutting…

A: A piece of cardboard measuring 14 inches by 11 inches is formed into an open-top box by cutting…

Q: The graph of f'(x) is shown below. The graph of f '(x) NOT f(x) Area - 12 (b) Area = 16 a) [5 F²(x)…

A: according to bartleby guideline we do only first three parts of multiple questions. graph of f'(x)…

Q: Find the points on the given curve where the tangent line is horizontal or vertical. (Assume 0 ≤ 0 <…

A:

Q: Compute the limit by substituting the Maclaurin series for the trig and inverse trig functions. (Use…

A:

Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and…

A: Given that, F=(5xy+y2)i+(5x-y)j now

Q: What is the volume of the solid generated when the region in the first quadrant bounded by the graph…

A: Region in the first quadrant bounded by y=2x,x axis and x=3 We have to find volume when specified…

Q: Investments   Compute the specified quantity. A corporate bond paying $3,000 after 30 weeks earns…

A: A = Total Accrued Amount (principal + interest) = $3000 t = Time Period (in years) = 30 weeks = 3052…

Q: Let b(t) represent the population of bunnies on Greentree Island t weeks after the population was…

A: To solve the following

Q: Using the graph of the function H(x) below, find the following. 10+ -10 -10+ 9 S H(x) dx = -9.1…

A:

Q: Sales analysis. The rate of change of the monthly sales of a newly released football game is given…

A: The rate of change of the monthly sales of a newly released football game is given by  S'(t)=…

Q: Use the binomial series to expand the function as a power series. State the radius of convergence:…

A: (1-x)34 The binomial series states that for any real number r and any complex number x with |x| &lt;…

Q: What is the average distance between the parabola y = 7x(16-x) and the x-axis on the interval…

A: What is the average distance between the parabola y = 7x(16-x) and the x-axis on the interval [0,16)

Q: Let C be the positively oriented square with vertices (0, 0), (3, 0), (3, 3), (0, 3). Use Green's…

A: C is the positively oriented square with vertices (0,0),(3,0),(3,3), and (0,3). Line Integral…

Q: 15. x = 2 cos 0, y = sin 20

A: To find out the points on the curve where the tangent is horizontal or vertical.

Q: Find the most general antiderivative of the function g(x) where 1-√x+2x4 (a) g(x) = x2 (b) g(x)=2e*…

A: (a)

Q: Consider the following double integral: 12 1 = [[y²e dy dx 0 2x 1) Sketch the region of integration…

A:

Q: 14. Find the limit (if it exists). Show your work algebraically. lim f(x), where f(x)= x+1 [x³ +7,x1

A:

Q: Find each of the following for the given function g. (If an answer does not exist, enter DNE.) 0(X)…

A: Horizontal Asymptote When x moves to infinity or -infinity, the curve approaches some constant value…

Q: Əz Complete the following steps to find the partial derivatives of and for ?х 3x² + y² + z² = 1 by…

A: Since you have posted multiple questions, I will provide the solution only to the first question as…

Q: Find the indefinite integral. (Use C for the constant of integration.) 1 1x cinc x(In(x))5 dx

A: let  G=∫1x(lnx)5dx

Q: I. Find the inverse of f(x). Determine the domain and range of f(x) and f '(x). . f(x) 2. f(x) 1. =…

A: As per our guidelines we are supposed to solve only 3 subparts of a question please repost the other…

Q: Find the limit lim (I,y) → (0,0) Along the path y=x: Along the path y = -x : Calculator lim (z,y) →…

A:

Q: Find the producers' surplus at a price level of p= $59 for the price-supply equation below. p=…

A: NOTE: Refresh your page if you can't see any equations. . the given supply function is  and the…