7) f(x) = x(x + 3)²(x-7)4 Degree: End behavior: lim f(x) =_ x48 Leading coefficient: lim f(x) =_ X118 Zeroes and multiplicity:

Q: t the correct answer below: ower series ot a power series n=0

A: Topic:- sequence and series

Q: Find You do not need to simplify. dx a) y = 2x(3x + 9) (4x³ + 2x² − 8x) b) y = 3x-6 7x

A: To find dydx

Q: Question 9 (D2 + 5D + 4)y = 3 - 2x, Find Yp a. 11 8 O b. O C. 11 d. 11 11 8 8 ४ | 3 O e. none + 8/3…

A: The given differential equation is: D2+5D+4y=3-2x So, we can also write as: y''+5y'+4y=3-2x

Q: 19 5-2 3s+5 + н 85

A: To find the inverse Laplace transform.

Q: Parametric Equations x=² y=2² fy slope Point t = -2

A: Givenx=1ty=t2t=-2   We are required to find the value ofdydxd2ydx2Slope

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A: Answer is in step 2.

Q: 2 24 1 A = (3) · B-15). C- ]-D-[2 B: = с = 1 3 20 Evaluate the following operations, A+B CB DE C-1…

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Q: Recall the following indefinite integrals for basic proper rational functions, where a and b are…

A: according to bartleby guide line we do only first part ofmultiple please re post other parts a)…

Q: Use integration by parts to evaluate the integral. √xe4x dx

A: NOTE: Refresh your page if you can't see any equations. . use the integration-by-parts method

Q: Determine which of the following tests would be best to use to determine the convergence of the…

A: NOTE: Refresh your page if you can't see any equations. . use the comparison test

Q: The number of hands is

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Q: Find the following indefinite integral using integration by parts. [(3x + =0+c (3x + 9)e* dx =

A:

Q: and V. 35. 36. 37. = (1,1,1), V = (2,0,1) = (1, -2, 1), V=(3,2,1) =(5, 0, 2), v= (-3,0,7)

A:

Q: Find the roots of (D4 + D² + 1) O a. 1± √3 0*1+√³. 2 1± √√3 2 b. Ob-1± √³, -1 ± √3 -1± √√3 2 2 OC.…

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Q: Use a power series to represent the function f(x) = Sorry, that's incorrect. Try again? ∞ ΣΙ n=0 1…

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Q: ds Given the velocity v= and initial position of a body moving along a coordinate line, find the…

A: use integration for finding the  position

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Q: Determine which of the following is the particular solution for the differential equation (D²- 2D+4)…

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Q: Use a definite integral to find an expression that represents the area of the region between the…

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Q: Determine the general/particular solution (whichever applies): (D4+8D³ +24D²+32D+16) y=0 ○y=e-²x (c₁…

A:

Q: Find the roots of (D4 + 4)y = 0 O a. +2i, ± 2i + 2 O b. 2+2i, ±i OC. 1 ±i, -1±i O d.-1 ± 1, 2+2i O…

A:

Q: Use the ratio test to determine if the series converges or diverges n 3+2n n In(n) Σ - n=2

A:

Q: Find the area between f(x) = x^2- 9 and the x-axis from x = 0 to x = 6. The area is blank square…

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Q: Consider the function f(x) = 5(x − 4)2/3. For this function there are two important intervals: (-∞,…

A: Given fx=5x-423

Q: Match the general solutions to the differential equations. ✓ (D² - 18D+81)y=0 (D²+14D+49)y=0 •…

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Q: Find the limit. Enter DNE if the limit does not exist. x²y lim (z,y) → (0,0) x² + 7y²

A: It is required to find the limit limx,y→0,0x2yx2+7y2. First plug in the point and simplify.…

Q: Express the limit as a definite integral on the given interval. lim [6(x)3 - 3x,"]AX, [2, 7] n→∞ dx

A: NOTE: Refresh your page if you can't see any equations. . here the given function is  and the…

Q: You want to buy a new car. You can afford payments of $300 per month and can borrow the money at an…

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Q: Basic rules (sum, product, quotient, power) DO NOT USE THE DEFINITION anymore. Use the shortcuts.…

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Q: What is the best convergence test to determine the convergence or divergence of the following…

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Q: If a car gets 21 kilometers per liter of gasoline, how many miles per gallon of gasoline would it…

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

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Q: 2. Evaluate the indefinite integral using the substitution method. / ((r + 5)(x − 5)³) dr. P

A: Here we have to evaluate the given indefinite integral by substitution method.

Q: D Question 10 Find the derivative. y = Š O 02 √8x+9 dt √√8x+9 (8x +9)3/2 +9 O√√√x+9+√9

A: Given query is to find the derivative.

Q: Find the arc length of the curve on the given interval. (Round your answer to three decimal places.)…

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Q: Find the producers' surplus at a price level of p = $56 for the price-supply equation below. p= S(x)…

A: The following formula can be used to find the producer surplus (PS), PS=px-∫0xS(x)dx , where p is…

Q: Using the first two terms of the Maclaurin series for sinx gives sin 40°, as an approximation to 3…

A: We need to find approximate value.

Q: Find the orthogonal trajectories of the family of lines 3x + 5y = C A B C D 3x 5y = k 5x 3y = k 3x +…

A: Orthogonal trajectory

Q: The traffic flow rate (cars per hour) across an intersection is r(t)=300+1000t−150t^2, where t is in…

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Q: Given f''(x)=−36sin(6x and f'(0)=6 and f(0)=6   Find f(π/5)=

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sec³(x) tan(x) dx

A: Evaulate the indefinite integral

Q: OHaganBooks.com has been experiencing a run of bad luck with its summer college intern program in…

A: NOTE: Refresh your page if you can't see any equations. . the given cost function is  to find the…

Q: Find the dimensions of a right circular cylinder of maximum volume that can be inscribed in a sphere…

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Q: 35. (- sint, cos t) dt

A: Given problem:- ∫0π-sint,costdt

Q: Determine whether the sequence with the given nth term is monotonic and whether it is bounded. a =…

A: The given sequence is: an=7-14n To determine whether the sequence with the given nth term is…

Q: Determine which of the following is the particular solution for the differential equation (D² - 3D +…

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Q: A ball of radius 10 has a round hole of radius 3 drilled through its center. Find the volume of the…

A: Given is to find the volume of the resulting solid

Q: A lottery game has players selecting 5 numbers at random from the numbers 1-65. The state picks 20…

A: Please see the below picture for detailed solution.

Q: Find the arc length of the curve on the given interval. (Round your answer to three decimal places.)…

A: