Find the most general antiderivative. O se3x + 9eX + c 3 e 3x + 9eX +C Z3x - 9e* + C 7 e 1 3x ex. +

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

A: Find the antiderivative i.e integration using substitution method Step 1 let's u Step 2 differential…

Q: 14. Which of the following has ex³-¹as an antiderivative? A. x²x¹-1 B. 3x²x³-1 C. 3xe*¹-1 D. xex -1

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Q: Evaluate (zy yz + zz)dV [+] B {(z, y, z) | 0< z < 4,0 < y S 10, 0 <z< 4}. %3D

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Q: 24. Evaluate |Vædr and determine its particular antiderivative passing through the point (9, 19). -…

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Q: J = fc cosh (z) dz, z2-3iz C: |z| = 1

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Q: It is given that dn (Inx %3D anlnx+bn where an and bn depend only on n. dxn xn+1 Find a1, az and a3.

A: we have to derivate three times then we will get a_2,a_2,a_3

Q: zdz + -dz. Izl=1 Z :Select one True False أخل اختياري

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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: DA LTI systemis deseribed by the De E y+6y+8y=2x4). find hit),then find y(t). x(t) = tět to -2t %3D

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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: 15. Determine the general antiderivative of f(r) = %3D r4 + 10 a. In r – 10| +C b. 4ln |r* – 10| +C…

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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: Determine whether M1 can be added M2 or not. Interpret. SC BN LDA e1 e2 ez e4 e5 e6 e7 eg eg ei0 e11…

A: Given 2 matrices M1 and M2 The matrix M1 has 7 rows and 7 columns Matrix M2 has 7 rows and 12…

Q: (a) Given w(x,y, z) = 2xyz,x = s² + t²,y =,and z = Int, find - and Ss Sw

A: solution is given below,,

Q: 6. If the substitution u = Vx + 1 is made, the integral x+1 dx u? du и? — 1 u? А. В. J, 2(u² – 1) du…

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Q: 3. Eliminate the arbitrary constants c, and c, from y =c, +C,e* y" - y +x = 0 c. y" - 3y' = 0 a. b.…

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Q: D. -x-+C C.-r+x+C 2. In S(x+9) dx = =x² +9x +C, what part is the integrand? A. C D.글고 +9x + C B. x+9…

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Q: Find the most general antiderivative. Sex.6x+ 4) dx O 6x2 +6+ C (2x3 O 6x+12x+4x+ C 14+3x2+4x+ C…

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Q: Match each general antiderivative with its rule a. e b. dr, n+ – 1 C. 0 a +1 d. Ip エ+1 dr e. kr feaz…

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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: Evaluate 3xz dV where E = {(r, y, z) | 2 < ¤ < 4, x < y < 2x, 0 < z < x + 2y}

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Q: S[(vxvø)•nds, The value of where o(x, y, z) is defined on S is (a) 1. (b) 0. (c) 2x.

A: Concept:

Q: Find the particular antiderivative that satisfies the following conditions: C' (x) = 2x² – 4x; C(0)=…

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Q: Let y = uy and z = u + y, where u and y are positive independent variables. a. If u is measured with…

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Q: Find the antideviVative 2+x € ) =

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Q: find ƒx , ƒy , and ƒz . ƒ(x, y, z) = e-xyz

A: Given fx,y,z=e-xyz Partial derivative means differentiating with respect to one variable keeoing…

Q: ( b) For n=1,2,K , show that (x² –1)y"*) +2(nx + p)y") +(n² –n)y"-1) =0 where %3D d" y p") = (Hint:…

A: * Given that y = x+1x-1pa dydx = px+1x-1p-1ddxx+1x-1    dydx = px+1x-1p-1x-11-x+1.1x-12   dydx =…

Q: Find the particular antiderivative that satisfies the following: H'(x) = 6/x^3 - 10/x^6 ; H(1) = 0…

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Q: 2: Salve the fallowing differnilial eguitins Yx) =4 Hint: Riccati D-Eymtim.

A: Given equation is, dydx=12xy2-1xy-4x One solution is Y(x)=4.

Q: Find the particular antiderivative that satisfies the following conditions: 10 10 H' (x) Н(1) %— 0.…

A: H'(x) = 10/x2 -  10/x7 find H(x) = ? so we have to integrate it H'(x) = 10x-2 - 10x-7 H(x) = -10/x +…

Q: Find h(t) if h''(t)=t^3/2, h'(4)=2 and h(0)=3.

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Q: 2 Deternine whither the vecter field Flx, 2) = (y, x.1) i 2/: X,1 is Cohresvative on B². If…

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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: 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: Find the particular antiderivative that satisfies the following conditions: R'(x) = 5 – 0.7x; R(0) =…

A: Given : R'x = 5-0.7xR0 =  1

Q: 9(x, y, z) = xy + xz + yz; C: r(t) = (1, 21, 3t) , for 0<i54 %3D

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Q: // (9x + y – 2z) dS. Evaluate S: z = x +, osxs 2, osys 3

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Q: 3) f(x, y, z) Зху %3D z- Vx

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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: 1 2х

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Q: of operathónS. ion using the variable replacements. 2. a'+2b (if a = 4 and b= 5) a=4 b=5

A: Given a = 4 ane b is= 5

Q: x dx is equivalent to If we let u = V 5+x, the integral 5+x A) u (5- B |u(u²-5) du (C | 2(u²- 5) du…

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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 most general antiderivative, 3x 5 c 2. *) dx 7. 1 3x O A. e+e +C 3. B. 3x +5 e+C 74 OC. 7.…

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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: . Which of the following has e**-1as an antiderivative? A. x²e*³-1 -B. 3x?e*³-1 C. 3xex-1 D. xe*3-1

A: Explained below

Q: 1. Find the following antiderivatives. 4 - 2" dy 49+1 (1) / (b) / tan u + tan u du tan? u – 2

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Find the most general antiderivative. 3 31 OA, 4. 4 3x 4. 1 +C 7x 1 O B. +. + C 4x 4 2, 49 4 -1 OC.…

A: let's find antiderivative of given function.