Demand for the latest best-seller at OHaganBooks.com, A River Burns through It, is given by q = -p2 + 36p + 8 (18 < p S 28) copies sold per week when the price is p dollars. What price should the company charge to obtain the largest revenue? (Round your answer to the nearest cent.) p = $ 18

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Q: Evaluate the given improper integral. Tell if it is convergent or divergent 2 dx x2 + 4 --

A: Solution is given below:

Q: .4 dx (x² + 9)2

A: To evaluate the following integral.∫x4 dxx2+92

Q: Find the area of the region. See Examples 1, 2, 3, and 4. f(x) = x2 - 7x + 6 g(x) -x2 + 5x + 6 y 10…

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Q: Question 1: Using appropriate substitution tan'x xp: sec5x

A: LetI=∫tan3xsec5xdxI=∫sin3xcos3(x)1cos5xdxI=∫sin3xcos3(x)×cos5xdxI=∫sin3xcos2xdxI=∫sin2xsinxcos2xdxI=…

Q: x + 1 S dx (x² +2)( x² + 1) 2

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Q: 1. Show that cosh 4x = 8cosh“x - 8cosh? x + 1 .

A: Given problem:- Show that cosh(4x) = 8cosh4x - 8cosh2x + 1

Q: Find the equation of the tangent line to the graph of the given equation at the specified point. y =…

A: We can find the equation of tangent line as below.

Q: (2y3 – x³)dx + 3xy?dy = 0; when x = 1, y = 1 Ans. 5x²y3 = x5 + 4

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Q: sec®3xtan3x dx

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Q: Using the following graph of the function f, evaluate the limits (a) through (i). (a) Select the…

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Q: Two cars are initially 1200 miles apart. At the same time Car A starts driving at 35 mph to the east…

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Q: Evaluate the integral (Trigonometric Substitution) 1 (b²y6 – y®)Zdy

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Q: onsider the following curve. y = x, 0sx<5 Set up an integral in terms of x that can be used to find…

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Q: Lety = 4x² – 4x+3 (a) Find the equation of the tangent line to the graph of the function atX=2; (b)…

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Q: Use the formula K(t) ||r(t) × r"(t)|| to find x(t). r(t) = 2 cos(4t)i + 2 sin(4t)j + 9tk K(t) =|

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Q: Find: d/dt (1/square root of 2t) A. square root of 2t/4t B. - 1/square root of 2t C. 1/2t square…

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Q: Evaluate the integral -2x + 4 dx J (x² + 1)(x – 1)

A: The given integral is:∫-2x+4x2+1x-1dxWe need to evaluate the above integral.

Q: Find the area of the region enclosed by y = 5x and x = 6.5 - y. 2- 3 4 5 6 Use horizontal strips to…

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Q: 5 Describe the right-hand and left-hand behavior of the graph of the polynomial functions. a) f(x) =…

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Q: A ball is shot from the ground straight up into the air with initial velocity of 43 ft/sec. Assuming…

A: To find the height  ball goes up to.

Q: emx cos nx dx

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Q: sin x Evaluate: / dx (cos x) 3 1. tan x- sin x + c an'x + C X, sin'x + C X. 3. 2 4. log (cos2x) +c…

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Q: If y = 2u' and determine when x1. 2x-1

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Q: Evaluate the integral sec² x tan? x + sec x (sec² x + 1) dx 2 sec x tan x (sec2 x + 1)

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Q: | -3x cos 4x dx A) - 16 3 cos 48 -x sin 4x + C 3 3 3 B) cos 4x -x sin 3x +C 16 3 cos 4x - 16 3 C) -…

A: To evaluate the given intgral.

Q: Calculate the volume generated by rotating the region bounded by the following curves about each…

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Q: (x + 5)" Σ 5 In(n) n = 2

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Q: Is 3 A m, m being any real number, possible? Explain. [IC]

A: This is a problem related to vector parts. Based on the general formula and concepts we will answer…

Q: Let f(x)=5x/2 - ex . Find the value of x for which f''(x) equals zero.  A. 0 B. 5e C. ln5 D. e5…

A: Solve for x by differentiate f(x) with respect to x.

Q: 3. Anabelle would like to invite 9 friends to go on a trip but has room for only 5 of them. In how…

A: We can solve this as follows:

Q: Use a graph to determine whether the given function is continuous on its domain. [3 – x if x 3…

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Q: Is 34 = m, m being any real number, possible? Explain. [1C]

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Q: f (x) = sec? x +1

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Q: Find the area under the curve y=sin2x from x=0 to x=3pi/4 A. 2 B. 1/2 C. pi D. 3/2…

A: The curve y=sin2x from x=0 to x=3π4

Q: Use the Ratio Test to determine whether the series convergent or divergent. 00 n! nD n = 1 Identify…

A: Solution:

Q: 00 Σ 2 ni(6x – 1)" n = 1 R = Find the interval, I, of convergence of the series. 1. OI = 1%3{1} O I=…

A: Series

Q: Calculus Question

A: Given query is to find the number of truck required.

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decinal places when…

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Q: Arc Length With Vector Functions For problems 1 & 2 determine the length of the vector function on…

A: Since you have posted multiple questions which are not interlinked i can do first question as per…

Q: Consider the graph and determine the open intervals on which the function is increasing and on which…

A: Here to of the function is at point (1,5), On left side function is increasing ,and at right side…

Q: Let f(x, y) = 2x2y + 3xy. Use the (limit) definition of partials derivatives to show that fx(x, y) =…

A: This question is related to Partial derivatives, we will solve it using given information.

Q: Two cars are initially 1200 miles apart. At the same time Car A starts driving at 35 mph to the east…

A: Given ,  Two cars are initially 1200 miles apart  At the same time Car A starts driving at 35 mph to…

Q: sin' xcos³x dx 3

A: Given: I=∫sin7xcos3xdx   As we know that; The trigonometric identity; sin2x+cos2x=1 The Power rule:…

Q: Evaluate the integral (Trigonometric Substitution) x*dx (x² + 1)²

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Q: A. For the following power series determine the interval and radius of n+1 convergence.a (x - 2)"…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

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Q: Solve the two items using Integration by parts. 1. [x' V9- x² dx 2. Te2* sin x dx

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

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