3 a₁ = (-1)²¹-¹12 (²) , n = 1,2,3...

Q: 8 S ( ² − 5 + £ ) da 6 dx X x² x³

A: I=∫(8x−5x2+6x3)dx

Q: S(1-* 2 dx 2x 3.

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: What is the value of <-5x+1dx? 0.5 -2 2 -0.5

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Q: Find for 07/8 dr de dr de || 7/8 = 3.

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Q: 5.[(2√x -3x)² dx

A: Given, ∫2x-3x2 dx

Q: L{ - 2)н( — 3)}

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as…

Q: (x+ d

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Q: Q1 -/m 3 SoNe |3x+1|-4=1

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Q: dy If y = (5x + 1)(2x +In x), then will be %3D dx (5x + 1) +) + 5(2x+ In x) A. -1 B. (5x+ 1) - 2. +…

A: The given problem is to find the derivative of given function y=(5x+1)(2x-1+ln(x)) , we can use…

Q: fxe* dx= O a. -xet* 4x 4 16 O b. 4х 4х e 4 16 xet* e4x +c 4 4 d. 4x 4х 4 +c 16

A:

Q: ∫((e3x)/(5+2e3x))dx

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Q: 39 + 5 dy 5. (5y~7)²

A: Let's find.

Q: (- 1)"(品 2n +1

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Q: 5. x' = (1²3) × X 5

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Q: 3 2 4 5 6 Consider the function p(t) shown, identify the intervals on which the function appears to…

A: the answer is option A

Q: 3.x* = 3a*y+ x , find y'´.

A: Find  d3y/dx3

Q: 3. (1+4e3x)³ e3x dx

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Q: 0.2(d - 6) = 0.3 d+ 5-3+0.1d %3D

A:

Q: 2 tx 1

A: using by parts you can obtain the result:

Q: 1 1. Solve v2(4") 8*+1

A: Given 24x=18x+1

Q: 2x3+2x2-2x-1 dx x2+x

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Q: h(s)=-2√s S

A: X Intercepts: (0, 0), Y Intercepts: (0,0)Asymptotes: NoneExtreme Points: Maximum (0, 0)

Q: Find n(A)   A= {1/2, -1/2, 1/3,- 1/3,......1/10, -1/10}

A: Compute n(A) as follows.Assume a set B with 20 elements.B = {1,−1, 2, −2, 3, −3,......10, −10}.

Q: A dartboard is divided into 9 equal-size sectors, numbered 1 through 9. A player throws a dart…

A: Solution:-

Q: 1. (a) Determine + 2x2 dx (b) Determine + 2x2 dx

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Q: I 2ex e3x tex dx

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Q: (4x-1) 5 =3 then x= 1. A. 2 О А о B О с O D В. 4 С. 1 D. -2

A: The given problem is to evaluate the given equation and find the value for x. Given equation…

Q: 3. (0.002x4 -0.3x² + 4x - 7) dx

A: The given integral is    ∫-1010(0.002x4-0.3x2+4x-7)dx

Q: 1ン ーr-- 1-

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Q: (-, 4/30] (5) [-4, c )

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Q: y" – 25y = 0

A: Given: the given differential equation is y'''-25y'=0

Q: • 4 13х + 12 -dx x2 + 3x 3

A: ∫3413x+12x2+3x-4dxApplying completion of squares:=∫3413x+12x+322-254dxSubs u =…

Q: Зx + 3х x² –4 — 3(х - 2) x(х+1) 16. x² – 36 ? x² 2 - 17. 4 ? х — 6 - x² – 5x – 50 20x+ 60 _…

A: As per our guidelines we are supposed to solve 3 sub parts , kindly repost the remaining part as…

Q: P(5 SxS 17) =

A: Given, Mean = 8 standard deviation = 6

Q: Suppose a E R, where a > 0, a # 1, what is[a"]? dx a" In(a) © xa²-1

A:

Q: d-d Answer: d-(bvd) Kon

A: Since you have posted a question with multiple sub parts, we willprovide the solution only to the…

Q: 2 A= find For 3 -2 r B= 7 -1 O A +2B ®(A+2B) (AB)" 3)

A: NOTE: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: If x1=3, ,x2=3, xn=−6xn−1−5xn−2, ∀n≥3x1=3, ,x2=3, xn=−6xn−1−5xn−2, ∀n≥3. Find the general tem xn

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Q: 6. sec²(3x) – V8 W%3= 6x +9 0.

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Q: 1/3+2/k=13/3k

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Q: Calculate y" and y". 4х — 7 y(x) %3D (Use symbolic notation and fractions where needed.) y" (x) =…

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