Given Cost and Price (demand) functions C(q) = 100q+40000 and p(q) = -2.8q + 800, what profit can be earned if the price is $450 per item? The profit is $ (Round to the nearest cent.)

Q: Read and understand the problem carefully. Show your solutions. 1. The Basco Lighthouse has a…

A: Concept: Trigonometric functions: Circular functions, normally referred to as trigonometric…

Q: 1. If F(x) = - eta dt, find F(1) and F'(x).

A: If Fx=∫exe et2 dt, then to find F1 and F'x.

Q: Given Cost and Price (demand) functions C(q) = 110q+45000 and p(q) = -2.7q+800, what profit can be…

A: Given cost and price (demand ) function C(q) = 110q+45000 and P(q)= -2.7q+800q, what profit can be…

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Q: (d) Use the given information to write an Lauation that relates the variables x and y.

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Q: Evaluate efffxv xdv,where D is the tetrahedron with vertices (0,0,0), (2,0,0), (0,2,0) and (0,0,2).

A: Given problem:- Evaluate  ∫∫∫D xdv ,where D is the tetrahedron with vertices (0,0,0), (2,0,0),…

Q: ered # tion Bi Q) choose one only 1. If (x + y)² = x² + y² prove that = - dx 2. If y = sin³ () cos³…

A: To find the differentiation of given functions.

Q: ind the general Solution of the of the following differentia yu-5y" +4y=013 y=0

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Q: 1. Find the Inverse Laplace Transforms of the following. 4 1) -1 S-3

A: The general formula we have that  Laplace transform of eat u(t) is 1/(s-a)

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A: The given lines are y=2x, y=0, x=0 and x=4.   So, the bounded region is as shown below. Apply the…

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Q: 2. Create a graph of a function which satisfies all of the given conditions. D = {x € R|x = -2} •…

A: The function satisfies the…

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Q: IVICCE dy Find from the following equations dx Problem (iii) x³ + xy = 0

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Q: cos(B) = −³, π< ß < 2π.

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Q: Use double integration to find the volume of the solid on the first octant enclosed by the curves x²…

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Q: Solve for the slope of each of the given point of a function

A: Given that,

Q: Given f(x,y) = 6x^2 - 2x^3 + 3y^2 + 6xy. Determine any local maxima, local minima, and saddle…

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Q: Evaluate the following limit lim (3¹6) (²-√²+₂) Ꮳ X-4 -64 Show all your work. Warning: You will get…

A: Limits

Q: Find dy/dx by implicit differentiation. (cos X + sin #Y)5 = 49

A: The given equation is;  (cos pi x +sin pi y) 5=49.

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A: The objective is to find the volume .

Q: 3. SET-UP the definite integral that will give the area of the region specified using (a) z as the…

A: topic- area bounded by curves

Q: Given m = 6, n = 1, and v = (-4, 7), what is v(n-m)?

A: Given :- Given m = 6, n = 1, and v = &lt;-4, 7&gt;, what is v(n-m)?

Q: 1. An open box is to be made from a 20-inch by 32-inch piece of cardboard by cutting out x-inch by…

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Q: Consider the position function s(t)= - 16t+96t representing the position of an object moving…

A: Given problem:- Consider the position function s(t) = - 16t2 + 96t representing the position of an…

Q: - Solve the linear ODE using an Integrating Factor. x². dy dx + 2xy = 3sin(8x)

A: solution is given below

Q: Evaluate the following integral. JIS x ln y tan z dV if S = = (x, y, z) € R³ : −1 ≤ x ≤ 0, e ≤ y ≤…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: The series O True O False (-1)^ n Σn=1 is conditionally convergent.

A: Given a series ∑n=1∞an .  If ∑n=1∞an converges, but the corresponding series ∑n=1∞an  does not…

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Q: (b) lim *+1 √√2x+6-2 x²-1

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Q: trahedron enclosed by the coordinate planes and the plane x+2y+z= 8.

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Q: Use Cartesian coordinates to set up the iterated double integral given by [[[ y² dV D where D is the…

A: Given problem:-

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A: Given, ∫3z1-4z-2z22dz Formulas used: ∫xndx=xn+1n+1∫1xdx=lnx

Q: Answer correctly, comprehensively, and neatly. Thank you. A vertical liquid storage tank shaped like…

A: A vertical liquid storage tank shaped like a cone has a radius of 8 m at the top and 22 m high.…

Q: 4. A spherical balloon is to be deflated so that its radius decreases at a constant rate of 15…

A: Using derivative

Q: b. SSR ехту dA_ where R = {(x,y) | − x ≤ y ≤X, 0±× 6 2}

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Q: 2. Evaluate the following 3. S²³S² (5x³y² + 3x) dy dx 3 3 9. O

A: ∫03∫01(5x2y3+3x) dy dx

Q: A cylindrical can without a lid is to be constructed to contain 800 ml of liquid. Determine the…

A: This question can be solved using the concept of maxima and minima.

Q: A company produces computers. The demand equation for this computer is given by p(q) = -5q+6000. the…

A: Given the demand functionp(q)=-5q+6000where q represents the number of units:total Revenue…

Q: Find the general and Singular Solution of the Following differential equation y²Lny = xyP+ P²

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Q: 2. If g(x)=√√3-x and f(x) = x³ +1 evaluate the following: gof(-1) b. (g-f)(2)

A: Given, g(x)=3-xf(x)=x3+1

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Q: Find the Fourier transform of Hint: Use the integral formula Se-¹² du = √π e-a²₁²

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -…

A: The height of a ball launched in the air t seconds after it is launched is given by:…

Q: What is the component form of a vector with a magnitude of 17 and a direction of 125°?

A: To find the component form of the vector whose magnitude and direction are given.