The figure below shows cost and revenue functions for a bike rental company when it operates q bikes. Should the company add a 40th bike? How about a 95th bike? Explain using marginal revenue and marginal cost. $ C(q) 5000

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A: The given integration is: ∫-3-22x7-x23dx  To evaluate the given integral.

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Q: 2. Ssec 20 tan³20 do

A: (2)   let   U=∫sec9(2θ)tan3(2θ)dθwe know that  1+tan2θ=sec2θd dx(secx)=secxtanx

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A: We have to solve given Questions.

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Q: Question 27 Compute the integral. ff xdy dx A) 6,561 (B) 405 )9 D) 0 E) 3,280 5

A: Topic = Integration

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Q: (1) Let A and B be two nonparallel vectors. Show that ||Ã + B||² + ||A - B||² = 2||Ã||² + 2||B||².…

A: We can solve it as follows,

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Q: (8) Are the following vector functions (a) r(t) (4 sin 4t, 4 cos 4t) (b) r(t)-(4 six ().4cce()) are…

A: We have to solve given Questions.

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Q: ENE SEP P1 DNIFE: www pod poppeng ja The urea or 2 (M) an

A: Given data:  The figure above shows the graphs of the polar curves r=2cas (3θ))and r=2. what is the…

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Q: A) -1 O A B O C D COS X lim x-R/2 x= π/2 - ΟΕ B) 1 C) 0 D) ∞ E) None of these

A: Given query is to find the  Indicated limit.

Q: h the function y = 4 4 (cos() +2) by hand, not by plotting points, but by ng with the graph of one…

A: We will find the required.

Q: y = f(x) Vertex: f(x)= SHOW SUPPORTING WORK BELOW: (1501 mi) = Vertical intercept: (8₂- V. 20…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Question 12 Use differentials to approximate the value of 27.25. Round your answer to four decimal…

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Q: Find the horizontal and vertical asymptotes of the curve. 3x² + x - 5 x² + x - 42 X = X= y = y =…

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Q: Aircraft Structural Integrity Refer to the following figure. 6 5 4 3 2 0 What is the sign of the…

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Q: 1. A farmer is building a pen beside his barn so that he only needs to fence 3 sides of the pen. He…

A: Figure:-

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim (7 + h)−¹ – 7–1 h…

A: To find:- limh→07+h-1-7-1h

Q: Find the derivative of the following. 1. f(x) = ln (tan-¹x) 2._ƒ(x)=xtan¯¹x——ln(x) 1-tan-¹x 3.…

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Q: Find the first and second derivative of the function. Check to see that your answers are reasonable…

A: Given query is to find indicated derivative.

Q: lim æ sin(¹) = x-0 A) 1 A B Oc OD OE B) 0 C) ∞ D) -1 E) None of these

A: Topic - Limit of a function we are given limx→0xsin1xwe know that-1≤sin x ≤1

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Q: Use synthetic division to find the remaining zeros of each polyn 4. f(x) = x² − 6x³ + 20x² - 22x -…

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Q: Suppose T : R² → R² is a linear transformation that first reflects points through the horizontal î₁-…

A: The given data is: Suppose T is a linear transformation that first reflect point through the…

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Q: My apologies. I didnt realize only one question could be submitted at a time (as I had seen similar…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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Q: 3. √ √ 9. 13 dr ²+6x +34 dz

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Q: Rewrite the equations in general form: 1.  (x+4)^2 + (y-3)^2 = 64 2.  (x+2)^2 + (y+2)^2 = 4

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Q: Vector A = in spherical coordinate system at P(-24, 16, 4). What is the magnitude of vector A in…

A: Sol:- To find the magnitude of vector A in the "z" direction in the rectangular coordinate system at…

Q: 5. Find dy by implicit diffe ? dy = ? 7y Sin (x²) = Sx Sin (4²)

A: 7ysin(x2)=5xsin(y2)d dx(sinx)=cosxddx(xn)=nxn-1d dx(a.b)=a×dbdb+b×dadx

Q: 17. The total worldwide box-office receipts for a long running blockbuster movie are approximately…

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Q: se the chain and product rules to prove the quotient rule. In other words, show that dy ƒ'(x)g(x)…

A: We will find the required.

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Q: 1. Two boats leave a port at the same time; one travels west at 20 miles per hour and the othe…

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Q: Determine the sum of the following series. NOTE: Enter the exact, simplified answer as improper…

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Q: The signum (or sign) function, denoted by sgn, is defined by if x 0 sgn x = -1 0 1

A: