Given cost and price (demand) functions C(q) = 120q + 42,000 and p(q) = - 1.9q + 870, what is the maximum profit that can be earned? It would be (Round answer to nearest cent.)

Q: 40. f(x) = -x' + 3x + 7, %3D

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Q: Suppose f(a) 3D (х — 3)(ӕ + 7). a. Solve (x – 3)(x + 7) O for x. Preview b. What are the roots of f?...

A: Explained below 

Q: Find [(dy)/(dx)] if the curve is defined by 7 x² e7 Y + 6 y2 e2 x = 16. %3D [(dy)/(dx)]

A: Given:     7x2 e7y + 6y2e2x = 16

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Q: Each summer Primo Pizza and Pizza Supreme compete to see who has the larger summer profit. Let p(x) ...

A: Please see the below picture for detailed solution. 

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

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Q: Suppose that u and v are vectors in 3-space such that u ||= 5 and u · v= 7. Find: (a) u · u = (b) v ...

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Q: Use the following function to answer the problems below. S(+) = f(r) = (x + 2)² (a) Find the vertica...

A: The point at which the graph of the function changes its direction that is from concave upward to co...

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Q: Find the volume of the solid whose base is the region in the xy-plane that is bounded by the parabol...

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Q: 3 find the limit if it exists .If it do esn't exist, explain why. lim 13+x| X-> -3 2(34+X)

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Q: Plot and label the following polar point on the graph. Find the Cartesian coordinates of this point....

A: see below the answer and explanation

Q: Determine whether the following sequence is convergent or divergent. Justify your answer {Vn- Vn+1}

A: We need to determine that sequence n-n+1 is convergent or not.

Q: 5. Evaluate n(3 + 2n + n?) n = 1

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Q: Suppose f is a quadratic function that has roots at x = - 5 and x = 8, and f(0) = 15. We will write ...

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Q: Find all the points of the graph of y = (x - 2)2 at which the tangent line is perpendicular to the l...

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Q: ху" + (1+х)у —е*, у(1) — 0

A: As mentioned to solve question number 6. Kindly repost the other questions in the next part.Question...

Q: Convert the parametric equations of a curve into rectangular form. No sketch is necessary. x = Vt, y...

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Q: Find all the second-order partial derivatives of the following function. h(x,y) — хеУ + 8у +4 %3D dx...

A: Solution :hx,y=xey+8y+4∂h∂x=ey∂h∂y=xey+8∂2h∂x2=∂∂x∂h∂x=∂∂xey=0∂2h∂y2=∂∂y∂h∂y=∂∂yxey+8=xey

Q: Question Let k(x) = (-3x² + 2x)g(x)h(x). Given the following table of values, find k' (-2). %3D -2 -...

A: k(x) = (-3x2 +2x )g(x)h(x) find k'(-2) =? k'(x) = (-6x +2)g(x)h(x) +(-3x2 +2x )(g'(x)h(x) + h'(x)g(x...

Q: ve the problem (#1 – 3). Round your answer, if appropriate. 1) One airplane is approaching an airpor...

A: Given query is to find the rate of change of distance between the planes.

Q: Problem 2. Do both part a. and part b. Find the maximum or minimum value of the quadratic function f...

A: see below the answer and explanation

Q: Question d'y if-2x + 7y = 10. Find %3D dx2 Provide your answer below: dy %3D dx2 Previous

A: topic - implicit differentiation

Q: 2. Use the Integral Test to determine if the series Σ (n + 2)/4 1 n=1 converges or diverges.

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Q: prove that tanx V secxsinxtanx

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Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper f...

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Q: Let f(x) = 2tan(x)/x. Find the following: f'(x)= f'(4)

A: We have to find the derivative and its value at x=4.

Q: 2 Find 22 + 42 + ... + (2n)². Hence find 12 – 22 + 32 – 42 + ... - (2n), simplifying your answer.

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Q: Convert the parametric equations of a curve into rectangular form. No sketch is necessary. x = In(2t...

A: Given query is to find the equation in rectangular form.

Q: B 78°10 P 2540 ft. 47°20 d=? To find the distance from observer's point A on one side of a river to ...

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Q: Evaluating Definite Integrals Use the results of Equations (2) and (4) to evaluate the integrals in ...

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Q: 5. Evaluate J2xdx, a, x' +c b, x+c C. 2x+c

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Q: dx Vx + x

A: topic - integration 

Q: Use the ratio tl to determine if the sequence {ne" }, is strictly increasing or strictly decreasing....

A: Please see the below picture for detailed solution. 

Q: solve the equation over the interval [0,2\pi ) ). (5sin(2x) 5cos(2x))^2=25 x=__________

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Q: oblem Set C 2x+3 Find the domain of the function H(x) .3 x'-4x %3D

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Q: 5 sin Od0 = -5(cos x – 1). Select one: O True O False

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Q: Use a double-angle formula to rewrite the 5 - 10 sin?e - 5 cos 20 5 cos 20 5 sin 20 O - 5 sin 20

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Q: Given the the parametric curve S2(t) = ¿e4 – l y(t) 12et + 32t 1 t5 – 6t + 10 dy (a) Find an express...

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Q: An angle that has its terminal side lying along an x or y-axis is called a quadrantal angle. Which o...

A: Note: Here there are two separate questions, according to policy of our company we will solve the fi...

Q: Question Given the following table of values, find h'(-1) if h(x) = (x³ + p(x)". %3D -1 1 2 p(x) 5 1...

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Q: 8. Find the value of p for which the series 2n Inn (In (In n))" is convergent. n=3

A: the given series,        ∑n=3∞1n ln n.lnln n p

Q: emine whether the series is convegent or divergent. If it an=lo00,evaluate lim Can) Cos M8

A: We have to find the value of the given limit according to the given information

Q: Answer the given DE below: x (dy/dx) +y=y^2

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Q: Compute the average value of the following function over the region R. f(x,y) = 3 e Y; R= {(x,y): 0<...

A: We have to find average value of a function    f(x, y) over a region R  Where   f(x, y) = 3e-y  and ...

Q: c. Determine the average rate of change of the distance of the car from the stop sign with respect t...

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Q: Plot the following functions 2. y = (x – 1)3 + 2

A: Topic = Function

Q: Uncover the function f shown that the slope of the tangent line to the chart of f at any point (x, f...

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Q: 3. a) Determine whether or not the point R(-3, 4, -2) lies on the line i = [0,20,4]+t[1,4,–2].

A: Given

Q: Kindly solve with complete solution DETERMINE IF THE FOLLOWING FUNCTION IS CONTINUOUS AT THE GIVEN ...

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