Use Partial Fractions to find | 2x + 24 (x+3)(x + 6) O None of these. O 6 ln x+6 - 4 ln |x +3| + C O3 ln x+3-2 ln x+6|+C O 6 ln x+3-4 ln x + 6|+C O 3 In z +6-2 ln x + 3 + C dx.

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Q: 8) Write the first 5 lines of Pascal's triangle. Use the triangle to find (2x+3)4.

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A: Given f(x) = x4−256x+4

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A: given  series is  -13+(-7)+(-1)+5+11first term is   -13

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A: Since you have asked multiple parts in a single request so we will be answering only first three…

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A: Given query is to find the value of tanA.

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A: Solved below

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Q: (4) y = Tan' (*); d =? A) 4 4+x² B) 15) ys A) 2 SecX 11 2√4-X² Sec (X); dy = ? +Y 2 secx. ranx D)…

A: 16) The given equation is; Sinx - Cosy - 2= 0

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A: As per guidelines of bartleby we solve only one problem

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Q: 10-9-8-7-6 -5 -43 -2 10 thow 4665 8 7 665 + 4 324 7 -3 -4 -5 -6 -7 -8 -9 10 7 ∞ 114 OI 6

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A: Given y = ( x5 - x ) from x = -1 to x = 0 as we know that volume of solid obtained ny revolvind the…

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A: We know that A = P 1+rt where A is the estimated amount after t years P is the initial amount r is…

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Q: Sketch the region enclosed by y = 72 and y = 62. Find the area of the region. Question Help: Video…

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Q: Evaluate the integral by making the given substitution. sec(52)tan (5x)dz, u = 5x + C

A: we know that   dxndx=nxn-1d(secx)dx=secxtanx

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A: Consider the function below and its graph shown below.ft=14t  if -10≤t&lt;0t22  if 0≤t≤10Let Fx=∫-5x…

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A: Let's prove that 4 evenly divides 3^(2n) - 1.

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Q: Question 1: Find an explicit formula for the geometric sequence with a₁ = 10 and a4 = 80. a_n=…

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Q: Differentiate: y dy dx 11 In(x) 26

A: Let's find derivative of given both  problem.

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Q: Assume 0<x< Use logarithmic differentiation to find O (sin z)(zcot 2 + ]n(sin z)) O (sin x) (x cos x…

A: To find the differentiation of given function.

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Q: Differentiate the function. g'(x) = g(x) 에너 1 VX +x

A: Given:g(x)=1x+x5

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Q: (3) ( ) (A) Find the volume of the solid under the paraboloid z = 2x² + y² and above the rectangle…

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Q: Center: Radius:

A: Given query is to find centre and the radius of the circle.

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Q: Differential equation: Families of Curves * w/ complete solution and sketch. Obtain the…

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Q: 23. lim 848 5√√x+3 1 - 17x²

A: Solve limit

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Q: Show that the eigenvalues of A-¹ are ¹. 27 Show that A"x = λ"x if Ax = λx.

A: Given λ is an eigenvalue of A. So there exists a nonzero vector x such that Ax=λx....(i) 1.Since A…

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Q: 3x 16x³ +24x² - 9. Find: 10. Given f(x) = a) All maximum and minimum points b) All intervals wher

A: given that ;- f(x)=3x4-16x3+24x2-9now ,  f'(x)=ddx3x4-16x3+24x2-9f'(x) = 12x3-48x2+48xand…

Q: Find the degree, leading coefficients, and the maximum number of real zeros of the polynomial. f(x)…

A: Let's find degree, leading coefficient and maximum number of real zeros.

Q: Suppose that lim = f'(0). Select the correct answer for the limit indicated below. x→0 X f(x) Select…

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Q: Solve the problem. 1 -3 0 13 Let A = -4 0 2 and b= 14 4 5-4 -45 Define a transformation T: R³ -> R³…

A: We can solve this as follows:

Q: If y = esin, then y" is equal to esin (cosa - sin x) A esindsinr O esinz (cos²x - sin x) O esin *…

A: Given that , y=esinx find y''=?

Q: Identify the circle that has center (6,-3) and radius 3. Select the correct answer below: O (x+3)² +…

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Q: Consider the following parametric curve. Answer parts a and b. x = 4+2t, y=1-6t; t = 2 a. Determine…

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Q: Inverse Laplace transform of 2 s-5 2 + is s²+16 s³ f(t) = 2cos(4t)-5sin(4t)+t² F(s) = Select one: O…

A: We are required to find if the inverse Laplace transform of F(s) is True or False