A company determines that its demand function is given by p(g) = - 0.8q + 576 and that its cost function is given by C(q) = 67.92g + 4413. Find the maximum profit the company can earn. The maximum profit is $ If necessary, round to two decimal places. Do not include units.

Q: x’D² – 2xD+ 2 y=4x

A: Using Cauchy differential equations,

Q: 7) find the volume of the solid generated by revolving the region bounded by the graphs of the…

A:

Q: Use a change of variables or the table to evaluate the following definite integral. 10 e 2X dx 2x…

A:

Q: Determine whether the improper integral diverges or converges. 0. 8x xe dx -o. converges O diverges…

A:

Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0<ts 1. (y – x) dx +…

A: Just I have used the given parametric representation of the curve C to change the given line…

Q: answer is partialy Answer the questions for the following polar equation. 3 r = 1- cose (a) Identify…

A: Parabola

Q: x2 - 4x - 12 Find f'(x), f'"(x), and f8(x) for the function f(x) X+2 f'(x) = everywhere that f(x) is…

A: Given

Q: f(r) = Va +4 – 2 Complete the following table and use it to approximate lim f(r) (Round to six…

A: The given function is: fx=xx+4-2   So, at x=-0.1 f-0.1=-0.1-0.1+4-2=3.974841 At x=-0.01…

Q: 8. Describe the type of indeterminate form. Evaluate the limit using L'Hôpital's Rule if necessary.…

A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first question. If…

Q: Preview Activity 1.5.1. One of the longest stretches of straight (and flat) road in North America…

A: Given problem:- Preview Activity 1.5.1. One of the longest stretches of straight (and flat) road in…

Q: Evaluate the definite integral. NOTE: Enter the exact answer. 8j i2 + 3

A:

Q: Use a double integral to find the volume of the region under the graph of f(x, y) = xy and above the…

A:

Q: The widths (in meters) of a kidney-shaped swimming pool were measured at 3-meter intervals as…

A:

Q: п a) Σ-1 n=1 n2 b) Ση-1 ι=1 (2")²

A:

Q: For what values of m does the function y = e™* satisfying the following equation y" – 3y' – 10y = 0?

A: Given,            y=emx and the equation is y''-3y'-10y=0.To find : The value of m that satisfy the…

Q: dy 1) dx y-x 2) y+x

A:

Q: 2. Find an equation of the plane containing the point P (0,-.) and the line determined by the two…

A: Equation of a plane P containing a line of intersection of two planes P1,P2 is given by, P=P1+λP2

Q: The temperature at point (x, y) is given by T(x, y) = 100 – 3x² – y³. Find the direction from point…

A: Given

Q: Match the vector field with its graph. F(x, y) = yi y 1信 5 5 y 5 -6+ -5+

A:

Q: e. Suppose someone claims that C'(5000) = -0.1. What would the practical mean- ing of this…

A: We have to find the meaning of C'(2000).

Q: Solve the following integrals: 1. S 7e*dx 4. S 12*+1dx 5. S-dx 2. S(5ex – 6*)dx 3. Ј 3(5)dx 6.…

A:

Q: Solve using Gauss-Jordan elimination. 4x1 - 7x2 - 5x3 = 41 X1 - 3x2 = 14 Write the system of…

A:

Q: The point P(p, 1), where p > 0, lies on the curve x² + 2xy³ – 3y* = 0. a) Calculate the value of p.…

A: Since point , P(p,1) lies on the given curve, therefore this point will satisfy the curve .Using…

Q: If the demand equation is D(x) = 180 - 6.3x and the supply equation is S(x) = 8.2x + 3, find the…

A: If the demand equation is D(x) = 180 - 6.3x and the supply equation is S(x) = 8.2x + 3, then we have…

Q: 2003 yo0, Find he Let, hC), 9 gph of h la) where the fangenf bnd is or2ontal where the foogen…

A:

Q: How?! e den -e-x ex 2.

A:

Q: Evaluate F. dr. F(x, y) = 7xi + 8yj C: r(t) = ti + V4 - t²j, -2 sts 2

A: Use line integral concept

Q: 14) Find aset of parametnic equetians for the rectangular aquetiag d= 4x2 tust Setisfies fue…

A:

Q: The surface area of a spherical snowball is increasing at a rate of 9 mm²/min. Find how fast the…

A:

Q: Determine the generating function of the following sequence {0, 0, 0, 1, 1, 1, ....}

A:

Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 sts 1. (y – x) dx +…

A: A detailed solution is given below

Q: d²y Given that x +y³ = 2, prove that dx2 4.

A: Given: x3+y3=2   As we know that; The Power rule: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-g'·fg2

Q: Find the norm (or length) of v = <-2, 3)

A:

Q: Find f(x) given that f'(x) = V+ x² and f(0) = 2.

A:

Q: Find the area of the surface generated by revolving the given curve about the y-axis. 8xy? = 2y6 +…

A: We need to find the surface integral.

Q: Resource allocation. A coffee manufacturer uses Colombian and Brazilian coffee beans to produce two…

A:

Q: Determine the intervals of continuity for the following function. Choose the correct answer below. O…

A: Given query is to find the the interval where function is continuos.

Q: 5 y = 4x+3y+2 3r+2y+1

A:

Q: Set up and simplify the integral that gives the surface area of revolution generated by rotation of…

A: Given; y=x-x^2, 0≤x≤1

Q: E1 Fnd all of the Porst order partial derivatives Toll wing fanctions. a)そ= x+5y x Sin (y). b) fexy,…

A:

Q: x* +x² 5. lim,-. e* +1

A:

Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

A: Given: f(t)=-16t2+444t+8

Q: I can't understant the solution :<

A: Let, radius = r Height = h When r = 8, then h = 22. Using this we get a relation between r and h.…

Q: Determine the intervals on which the following function is concave up or concave down. Identify any…

A: We have to find the inflection point and the concavity and convexity of the curve

Q: [x'D° +3xD-3]y=x

A:

Q: Sketch the region R and evaluate the iterated integral | Rx, y) dA. 2x + 8y) dy dx y y y y 2.0 2.0-…

A: Given problem:-

Q: d d Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating dt dt the product directly…

A:

Q: Find the symmetric equations of the line that passes through the points (-2, 1, 0) and (1, 3, 5).

A:

Q: You manage an ice cream factory that makes two flavors: Creamy Vanilla and Continental Mocha. Into…

A: Linear equations

Q: Solve the Laplace Transform of the equation f(t)= te⁻³ᵗcos²2t

A: We have to find the laplace transform of the given function.   f(t)= te⁻³ᵗcos²2t