dx x(x2 + 1)2 3.

Q: lim 1-3メ) 2. X->

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = ln(x2 + 5x...

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Q: For the function F(x) = -x* +2x + 63, complete the following parts. (a) Determine whether Fis even, ...

A: f(-x) =f(x) so function is even.  Follow step 2nd . 

Q: Find the length of the curve: a = t°, y = *; 0<t< v120 3t Find the length of the curve: x = t°, y = ...

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Q: Find the most general antiderivative. dx x2 A 2- +C В с © -2.c (D 2

A: topic - anti derivative of  a function

Q: Question 3 Evaluate the Integral |(4-3sin2p)+ cos28 dp. (A 30 -(4– 3sin2ß) $+ C B -(4– 3cos2B) 5+ C ...

A: lets assume that u = 4 -3sin2β du/dx = -6cos2β dx = -du/6cos2β   ∫ -u4du/6 -u5/30 +c now put the u v...

Q: '5 '5 A function y = f(x) is continuous and differentiable on the interval (0, 7). If f(x) dx = 10, ...

A: Given problem:-

Q: State the domain and range for the following relation. Then determine whether the relation represent...

A: here the given relation is {(5,2),(-8,5),(8,9),(5,17)} domain of the relation is the collection of t...

Q: Evaluate using techniques of integration or integration by parts

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Q: The vectors (-1, 2, – 1) and (2, –4, 2) are parallel and not orthogonal. True False

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Q: Evaluate: " sin" () cos* () .4 CoS 2, dx .2.

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Q: Activity 1. Find the derivative of the following trigonometric functions and simplify if possible. B...

A: Note:as per our answering guideline we can allow to solve only subparts so please repost another sub...

Q: Do the following for the function f(x) = 6x? + 5x. (a) Express the slope of the secant line in terms...

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Q: 89. Find the coordinates of the centroid of the area bounded by x² + y? – 4y = 0 and y = 4 – x is re...

A: The given curves are: x2+y2-4y=0 y=4-x

Q: Find the volume of the solid of revolution generated by revolving the region bounded by the graphs o...

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Q: Find the area of the region between the parabola y =64–x² and the x-axis. Round your answer to three...

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Q: • y=3 •x= /9– y² Consider the integral (2² + y?)*/*dæ dy. - 3 Jx=0 a) Using the bounds of integratio...

A: To solve the following integral using polar coordinates

Q: Question 20 Evaluate the Definite Integral cos $ y dy = Blank 1 Blank 1 Add your answer

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Q: The function is not one-to-ane. Delete part of the domnin so that the function that remains is ane-t...

A: solution:-f(x)=x-32for x≥3, f(x)≥0y=f(x)=x-32y=x-3x=y+3hencef-1(y)=y+3,  y≥0  

Q: Consider the following. f(x) = 6x3 – 9x? – 108x (a) Find the intervals on which f is increasing or d...

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Q: A company rents cars at $45 a day and 12 cents a mile. A second rental company's cars are $60 a day ...

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Q: Use the graph of the function f given below to answer the questions. List the values of x at which f...

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Q: The management of Porter Airlines finds that its monthly marginal revenue can be pproximated by R'(x...

A: Given query is to find the revenue function.

Q: Find the slope of f (x) =e8x-10 at x-1.

A: The function is given by fx = e8x-10 The point is  x = x0 = 1 Formula: The formula to evaluate the s...

Q: Evaluate the integral. /x² – 36 Vx2 – 36 -dx + 6cos + C Vx² – 36 -dx = Vx² – 36 – 6cos- () + C x² – ...

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Q: Write the function whose graph is the graph of y = x +1, but is reflected about the y-axis. y = (Sim...

A: The given function,     y=x+1

Q: Find the volume of the solid of revolution generated by revolving the region bounded by the graphs o...

A:

Q: The cost C, in dollars, of renting a moving truck for a day is given by the function C(x) = 0.20x + ...

A: As per request Solve d, e and f part only

Q: 3. f(x) = Vx - 5 is continuous on the interval [5, 0) %3D

A:

Q: For every 100 ticket buyers at a concert, the band expects to sell 27 T-shirts.

A: Given: For every 100 ticket buyers at a concert, The band expects to sell 27 T-shirts.

Q: Cosx Evaluate the Integral dx. sinx 1 + C 3sinx A B) 1 +C sinx - +C 3sinx 1 +C sinx

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Q: sgn (x + 3) if - x2 +9 - Vx² – 9 x 3

A: To solve the following problem

Q: Evaluate the integral J sin. sinh? (2x) cosh (2x) dx. sinf(2x) A +C 9. sinh(2x) +C B 8. costf(2x) + ...

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Q: Find the area of the shaded region. y 2 x = y -9 y= 1 /x= e -10 -8 -6 -4 -2 2 4 Hy = -1 -2

A: To find the area of the given region.

Q: show complete solution and the sketch of the graph. Solve for the volume of the solid generated by r...

A: V=integration of π(√x) 2 and using limit 4 to 9 .

Q: S* (1– x)e* dx

A: To find out the integration. 

Q: A linear function is given. Complete parts (a)-(d). g(x) = - 3x +4 (a) Determine the slope and y-int...

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Q: 5x2 + 1 dx2

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Q: Question 14 Find the area of the region between the parabola y = 9 - x²and the x-axis. Round your an...

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Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate ...

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Q: Evaluate the integral J 2x(x² + 6)¨ dx using the substitution u = x2 + 6. | 20 (a? + 6) " d.x +C

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Q: Find the values of x for which the series converg n- 0 -0, – 5) U (5,0) Find the sum of the series f...

A: We need to find sum of the series.

Q: Evaluate: (4) S esc" (a) (2x +1) dx C6) Syos y dy

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Q: Suppose f " is continuous on (-o, o). (a) If f '(-3) = 0 and f "(-3) = -9, what can you say about f ...

A: Given that, (a). f'(-3) = 0  and   f''(-3) = -9 (b). f'(5) = 0  and   f''(5) = 0 We have to choose c...

Q: Find the volume of the solid of revolution generated by revolving the region bounded by the graphs o...

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: 1. Use finite approximations to estimate the area under the graph of the function f (x) = x³ between...

A: The function fx=x3 between x=0 and x=1

Q: If (5,1) is a point on the graph of y = f(x), which of the following must be on the graph of y= - 2f...

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Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate ...

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Q: rectangle. y = 2/x, y = 4/x², x = 6 y y 35 30 25 -1 20 -2 15 -3 10 5 1 2 4 6 -5- y 5- 2 4 4 -2 3 -4 ...

A: Given problem:- Sketch the region enclosed by the given curves. Decide whether to integrate with res...