e5x 10) An antiderivative of eSx is +In 4 A. True B. False 5.

Q: (a) Si = {(x,y) | y divides x} (b) S2 = {(x, y) | x + y is odd} (c) S3 = {(x, y) | xy is odd}

A: List the properties of relations. Reflexive: a relation R on a set A is reflexive if a,a∈R for all…

Q: 8. Find the antiderivative of (12x²)ex³ O 4e+³ 4eX +C O (4x³)e+³ +C O None of these Cannot be found

A: Let's find antiderivative of given function.

Q: Given that s(z) what is the antiderivative of s(1)? (Do not include the constant C in your answer.)…

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Q: Using modified euler's method, fihd au appn ximate Walve 84 when 4=03,given that ca dy K+y € y= 1…

A: Given that dydx=x+y and y0=1 To find: The value of y(0.3)

Q: The antiderivative of y= +5 is O 2/x+5x+c none of these O 2/x+5 O 2/x-5x+c 15

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Q: Find the following antiderivative. 8. dt J 5t/25t2 – 25 Do not include the constant "+C" in your…

A: The given Integral is ∫85t25t2-25dt

Q: - Find the antiderivative of 5inxIn5cosx. a. 5cosx + 3 c. 5sinx In 5 b. 5sinx – 2 d. 5sinx -+7 In 5

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Q: 1 Given that s(x)% = 1 what is the antiderivative of s(x)? %3D x + 7 X – 6

A: The antiderivative of sx is ∫sxdx. Now, find the value of integral ∫sxdx using the formula…

Q: 48. sec r dr 3

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Q: Find the specific antiderivative using the given information: 7x = (x),4 (5 – 2²) - h(1) = -5 h(x) =

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Q: Find an antiderivative of 9 x³ +6 25 26 Antiderivative = in the variable where x > 0. Remember to…

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Q: b -x" + -xP +C. What a d heral antiderivative of (3x2 - 4) 2x2 can be written as m m

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Q: Find the general antiderivative of f Cx) = 7x end check the Lons answer by differentiating.

A: Here we have to find the antiderivative of the given function and check with yhe help…

Q: Q1/ If z = e*?y, x = Vuv, 1 y = Find: əz а- ди az b- dv

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Q: Evaluate SS 5ex+y+" dV over B where B = {(x, y, z) : x² + + z² < 1}. Take = 3.

A: The integrals in the form ∭f(x,y,z)dV is called a triple integral. In this problem, we have to…

Q: a The general antiderivative of ( 3x2–4)2x2 can be written as -x +C. What is the value of the sum a…

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Q: Find the following antiderivatives. 49 – 2y dy 49 +1 (a)

A: Introduction: Evaluation of anti derivative is the main aim of indefinite integral. An anti…

Q: What is the antiderivative of t(x) = –9sin (x + 6) – 6sec2 (x +3) + 9. ? 4 (Do not include the…

A: Solve

Q: 6. SS dV に lies b/w ミ 25 %3D and x? f y? + z? Ź 36 in the firót oct ant ...

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Q: Find the antiderivative x2cos(21x)

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Q: 1. 3 de

A: Given integral,         ∫3 dx

Q: EX. Use Euler's method (modified) to approx; mad e y' = x+y for yC1) = 1; h=o.1,15X<2 心ふ 14 withe…

A: We have to use modified Euler method to find solution.

Q: Find the following antiderivatives. 49 – 24 dy 44 +1 (a) / : (b) / tan u + tan u du Vtan? u – 2

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Q: Find the particular antiderivative that satisfies the following conditions (assume x&gt;0):…

A: To find the particular anti-derivative.

Q: Find the following antiderivative: | - 7a* (62* + 1)° dæ Do not include the constant "+C" in your…

A: Here , we will find the antiderivative of the given problem.  (Antiderivative mean integration  .)…

Q: If possible, find the general antiderivative of [(4+e*)e*cxc . O There is no general antiderivative.

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Q: To find ∫x3(x4−15)7dx∫x3(x4−15)7dx, you would need to use u-substitution. What u could be used to…

A: ∫x3(x4-15)7dx

Q: What is the antiderivative of q(x) = 2e²+5 – 3sec2 (x – 1)? (Do not include the constant C in your…

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Q: Find the particular antiderivative that satisfies the following conditions: 7Vt – 4t dt dæ ; г(9) —…

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Q: Calculate ffs f(x, Y, z) dS For x? + y? = 16, 0 <z< 7; f(x, y, 2) = e Sls f(x, Y, z) dS 4pi(1-e^-7)

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Q: An antiderivative for is: 22 +81+20 1 O In + C I+8 ㅇ 올tan-1 () +C 금i미플의 O In 28|+ C O tsec- (4) + C

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Q: Evaluate SSS 2e(a²+y²+z?)"² dV over B where B= {(x,y, z) : x² + y² + z² < 1}. Take n = 3.

A: • The given region B has spherical symmetry, so it will be easy to solve this volume integral in…

Q: Solue the differeulial equalion dy +9-é^ Cosre zo yo) =0. 2. by csing milne's methad with h = 0.1.

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Q: zlanstriduz.n 20 9. Hx) %3D 2. 7. a tom Where a and 6= %3D %3D

A: To find  the values of a and b.

Q: 14. Find the following antiderivatives: (i) ✓ √ √r(5x² + 3) dr

A: The objective is to integrate the function x5x2+3dx The formula for integration is   ∫xndx=xn+1n+1+c

Q: e |/ (x² + y³) dV, where E = {(x, y, z) E R³ : VA- x² – y? <z< V9– x² – y?}. Evaluate E

A: The region E will be bounded within the upper half of the spheres x2+y2+z2=(3)2 and x2+y2+z2=(2)2.…

Q: In(rºs sºVr?s²) 6,8/7 2 r'S is equal to A In r+ B ln s where A = and where B =

A: using the concept of logarithmic...

Q: Find the particular antiderivative that satisfies the following conditions: R' (x) = 4 – 8x; R(0) =…

A: Solve the differential equation using initial value.

Q: Find the general antiderivative. If the substitution method is used, state first u, du and [lu)du.…

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Q: If Sis g(x) dx = -45 and G(18) = -33, where G(x) is an antiderivative of g(x), find G(6) %3D

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Q: (2) Find the most general antiderivative. 910) - (2) 3t est + 5et g(t) : e2t

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Q: 1. Given that s(x)=−1/x+8 + 9/x−4, what is the antiderivative of s(x)? (Do not include the constant…

A: An antiderivative is a function that reverses what the derivative does. The antiderivative of the…

Q: d --x" + -xP +C. a The general antiderivative of (3x2– 4) 2x2 can be written as - m What is the…

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Q: Calculate the following antiderivatives: (6t - 5t° + 6) dt = |+C. (a) + 2Vu) du =O+c. +C. (c) dx =…

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Q: Find the following antiderivative: 5æ(-2² +5)° dz Provide your answer below:

A: We have to find solution

Q: Evaluate SSS9e=+y²+=?)** dV over B where B = {(x, y, 2) : a? + y? + z? < 1}. Take = 3.

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Q: How do I find the antiderivative by using the power rule I reverse?

A: This can also be broken by using linearity as below

Q: 17. f (1,y, z) = x subject to z? + y? + 2² – z = 1 %3D

A: Let h(x, y, z)=x2+y2+z2-z. We now have ∇f(x, y, z)=(1, 0, 0) and ∇h(x, y, z)=(2x, 2y, 2z-1). Let λ…

Q: dy dr 4 - y (b) _ In(교2 + y? + 1) dr dy (a)

A: Evaluation of the double integral

Q: What is the antiderivative of  r(x)=−6ex+6 ?  (Do not include the constant C in your answer.)

A: The antiderivative of  r(x)=−6ex+6 = integral of r(x).dxPlease see the whiteboard for subsequent…