Given Cost and Revenue functions C(q) = q° - 10q + 54q + 5000 and R(q) = - 3q“ +2600q, what is the marginal profit at a production level of 60 items? The marginal profit is dollars per item.

Q: There are three conditions in which limits do not exist

A: First Condition   Limit fails to exist  when  The function approaches to some number from the right ...

Q: Solve using variation of parameters or reduction of order (D² – 3D + 2)y = (1+e²x)¯2

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Q: An airplane is heading due east with an airspeed of 220 km/h, when it encounters a wind from the sou...

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Q: Use the formal definition of the limit to prove.  lim (4x − 3) = −7 x→−1

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Q: WHich of the following represents the shell height if the shell method will be used to find the volu...

A: Given problem:- Which of the following represents the shell height if the shell method will be used ...

Q: Use any method to determine whether the series converge. 1 (a) E k + 4k + 1 k=1 This series 1 (b) E ...

A: We have to check whether the given series are converges. a. ∑k=1∞1k8+4k+1b. ∑k=1∞18+k15

Q: Solve the differential equations by any appropriate method and indicate the method you have used/cho...

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Q: Consider the function: f(x) = {x2,      x ≤ 2          {4,        2 4 Find the following limits: (...

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Q: Problem B.7 Express each of the following ODES in the standard form y" + P(x)y' + Q(x)y = f(x). Do n...

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Q: Determine the domain and range of the following function. х-1 g(x) = V16–x²

A: Given : g(x) = (x-1)0.5/(16-x2)0.5 To find : 1. Domain                 2. Range

Q: An+1 -to determine if the sequence {ne"}, is strictly increasing or strictly decreasing. An Use the ...

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Q: Solve the differential equations x (x- y²- x)dx =y(x²-y²) dy when x=2, %3D y=0

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Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves...

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Q: [12 31 1 2 and B = ] 1) If JA| = |B1, find the value of k where A =0 %3D 13 [2 1

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Q: Consider the following sequence: {a,} n=1 An+1 to show that the given sequence {an}is strictly incre...

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Q: ts Let the graph below be the graph of one wavelength (period) of f. Then f(x) = . 3. 2 -2 -3 03 sin...

A: Let's find. 

Q: Express the solution of the given initial value problem in terms of convolutional integral. A. y" + ...

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Q: Determine which of the following differential equation is linear O +5 + 2y² = e3= %3D + 5y +2y = 0 %...

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Q: dx 3x2 + 11x + 6

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Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

A: Let's find. 

Q: Write the first five terms of the sequence: +0o {vn² + n = - n}n-1 Determine whether the sequence co...

A: See the details solution in below

Q: R4. If A- 21+3i : ond B-+5K ;hnd the angle hetwee them. De. Choose the Correct answer: 1. ST unit of...

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Q: For each graph, select all symmetries that apply. Graph 1 Graph 2 Graph 3 -2 Symmetry: Symmetry: Sym...

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

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Q: give 5 example problems of removable, jump, asymptote discontinuity

A: Examples of removable , jumped , asymptote discontinuity as follows :- 1. Removable discontinuity :-...

Q: 11. Evaluate f- 2 sin 3x dx 4+cos 3x a.) -2 In 14+cos3x| + C b.) 3 In 14+cos3x| + C c.) - In 14+cos3...

A: Solve by integration

Q: Given the function: z = e*+y sin (x + y) dz a. Compute the ду b. Compute the dz show complete soluti...

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Q: Sketch the graph of a function that satisfies all of the given conditions. vertical asymptote x - 0,...

A: Here, given that a function has a vertical asymptote x=0. So, the function does not touch or cross t...

Q: Nightclub Management You have just opened a new nightclub, Russ' Techno Pitstop, but are unsure of h...

A: Let's find. 

Q: Find the differential equation of the family of plane curves described. Draw at least three members ...

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Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: 2. Y = (7x³ + 3)6 ; y"

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Q: 17. Evaluate S sec x (secx + tan x) dx a. tan x + sec x + C b. tan x - sec x + C c. - tan x + sec x ...

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Q: Solve the diff eq (xy² + x- 2y +3)dx + (x³y - 2x – 2y)dy = 0

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Q: Find the Maclaurin series for the function f(x) = ln(3 + 4x)

A: Maclaurin series of function fx is a Taylor series of function fx at: a=0       fx=f0+f'01!x+f''02!x...

Q: Question 1 Consider the function (x²y² – y³ x² + y2 0, if (x, y) # (0,0) f(x, y) = if (x, y) = (0,0)...

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Q: Solve the diff eq (ху?+x-2у+3)dx +(x?у — 2х - 2у)dy %3D0

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Q: ,3 dx

A: we have to find the integral by parts.

Q: Determine the Laplace Transform of the given integral equation. A. f (t) = (t – T)2 cos(27)dr

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Q: following

A: We will use rhe graph of the derivative to find the intervals. 

Q: (1 + +)' y =

A: As per the instruction, we will be answering only first question.  y'=1+1x3'    =31+1x21+1x'    =31+...

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use ...

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Q: Question 1 If T is a linear transformation such that T(1, 0, 0) = 2, T(0, 1, 0) = 3, and T(0, 0, 1) ...

A: A detailed solution given below.

Q: Find the exact value of cos 0 if tan 0 = and 0 is in quadrant IV. 7 - 5/74 O- 74 7 74 74 7/6 12 5/6 ...

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Q: Sam can swim at 6 m/s in still water. He wishes to swim across a river which flows downstream at 2 m...

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Q: Please write your solution on a paper. A certain radioactive material follows the law of exponentia...

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Q: Find the general term of the sequence, starting with n = 1, determine whether the sequence converges...

A: Let's find. 

Q: Write the first five terms of the sequence: 13 In n n n=1 Determine whether the sequence converges, ...

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Q: 27 sin(x)cos²(x)dx - To evaluate the integral , which of the following formulas can be used? V7+2 co...

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Q: Find the complete solution of dy + dx = 3r'ydr %3D O ry C-r O (C-a) = 1 %3D Oy -2-C

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Q: Write down the equation of the line that passes through the points (5, -1, 2) and (3, 1, 1). Using v...

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