3 z3+6 25 Find an antiderivative of in the variable z where x + 0. 26 Remember to include a "+ C" if appropriate.

Q: 1 Write 4 antiderivatives of f (x) = |x|/x²-I

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Q: uestion 13 d +=x² +C. n P a b ze general antiderivative of (3x²-4)²x² can be written as m hat is the…

A: We are asked to find the antiderivative of the general.

Q: 1 7) Find the antiderivative: S 3x2-6x+12

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Q: v² =v² +2a(s-s) i. j. K = = kx² 2 k. T = 27 е g ,a = ,X = ,g =

A: This question can be solved using the concept of explicit function.

Q: 3. Obtain the general solution (1 + 4xy - 4x²y)dx + (3² - x³)dy = = 0 4. Obtain the general solution

A: Solve the above question.

Q: Let y(x) be the solution of the IVP dy - (y-4)²dx=0, y(0)=3 Evaluate y(11). You have to round your…

A: An Initial Value Problem  IVP) is a differential equation along with an appropriate number of…

Q: 4 P = 80x-2x²-xy-3y² +100y + X(12-X-Y) FinD Px, Pxx, Py, Pyy, Pxy = Pyx, fino x And y Fine Fine P

A: Here's the solution.... please have a look at it...

Q: 37. If antiderivative of m+p is equal to - 8 X³ √₁+2x² (B) 5 which passes through (1, 2) is…

A: We need to choose correct option.

Q: Find all antiderivatives of 5x" for n + -1. -n +1 The antiderivatives are of the form: 5 + C n+ 1…

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Q: x3 - 27 dx x - 3 Find the antiderivative of 3x2 A 9x + C .2 3x B + 2 + C 3 3x C) + 9 + C D x3 - 3x2…

A: We have to solve the integral

Q: Find the following antiderivative: 2t'e6t dt Do not include the constant "+C" in your answer. For…

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Q: 15x2 — х3 — 43х — 19 Ах + В C The integral (x + 1)²(x² – 6x + 13) dx can be rewritten as lax² + bx +…

A: Given integral, ∫15x2-x3-43x-19x+12x2-6x+13dx

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

A: To find the correct option.

Q: Find the most general antiderivative. 2 4.9 #13 f (x)

A: The general antiderivative of f(x) is F(x)+C, where F is a differentiable function.

Q: We are given that G(x) is an antiderivative of g(x), G(2)=43, and -2 | g(x) dx = 54 -39 What is…

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Q: 4.2 Find ∫−4x2(4x3−1)7 dx. Do not include the constant "+C" in your answer. For example, if you…

A: To Determine: Find ∫-4x24x3-17dx.  Given: we have an integral Explanation: we have an integral…

Q: X1 + x2 max s.t. + x2 + 12 40 3 X2 >0 X2 EZ VI VI

A: We will use the basic knowledge of linear programming and optimization to answer this question…

Q: 4.2 What is ∫3x(x^2+2)^5 dx? Do not include the constant "+C" in your answer. For example, if you…

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Q: t-1 y = t.

A: Given that, x=tt-1y=t2t2-1 Then we get,…

Q: (1) E(x, -x)² =Ex} – nx² | (ii) E(x, –x)(y; -y)=Lx,y, – nxy (üi) E(x, – x)(y, – F) =Ex,(v, - )

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Q: Find the most general antiderivative. x2 xp O 25 - +C 2x - +C O - 2% + C 2 2

A: =>x^n dx = x^(n+1) / (n+1) + c

Q: What is the most ideal first step to be done here to eliminate the arbitrary constant/s? * 3X 4. -xy…

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Q: 3 z3 +6 x5 Find an antiderivative of in the variable z where a + 0. 76 Remember to include a "+ C"…

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Q: 6 – 7x7 - Find the most general antiderivative of f(x) x4 Answer: -(2)/(x^3)-(7)/(4)x^4 Σ

A: Given query is to find the antiderivative of the expression.

Q: +3 What is the antiderivative of A + C B x3 (2x%6 +9) + C B © 9x2 + 2x3 + C 5% + 6x/2 + c

A: Given problem:-

Q: Find all antiderivatives of 3x" for n * -1. The antiderivatives are of the form:

A: We have to find integration

Q: Solue (x+1)y" + xy -y =0 ; yco)2, 4'c0)= i ginen that either e* or e-x is a solution of (x+D y" +…

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Q: Q5. Calculate L-1 -2s e s2 Q6. Find general solution of the DE 4.x?y" + 8xy + y = 0

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Q: Which of the following is an antiderivative of 8x3? А. 2х4 + х В. 2х4 — х 3. С. 2(х4 — 1) D. 2x(x³ –…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Find all antiderivatives of 5x^ for n # -1. The antiderivatives are of the form:

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Q: Show clear work on your paper. Is y = t + 1 a solution to y' =1+t² – 2ty + y² ? с — t O yes O no O…

A: Given: The differential equation y'=1+t2-2ty+y2.

Q: 2. 5x + 3y > 15 7x + 2y < 21 x2 0 y 37 • Submit your activi File name: FINAL Example: FINALS

A: To plot the graph we first convert the given inequalities into E qualities . therefore  5x+3y=15…

Q: Evaluate the fallowing 2 1 zit 2 -スヒ e 31 回 S4-j と グ 「2 d2 ; C:Z10)=3e;os0 S下 C:そ(0)= 3e ; oss下 it ;…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 6. ∫3x2(2x3+4)7 dx Determine the antiderivative given above. Do not include the constant "+C" in…

A: Evaluate the integral.

Q: 6 3x? + 3 Find the general antiderivative of f(x) - + C

A: From the given function: fx=-3x2+6x-3x5-4x As we know that; The expression to calculate the…

Q: 5 Find the antiderivative of g(æ) = –8e²+4 5sec2 (x + 6). (Do not include the constant C in your…

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Q: ∫ 3x2 (2x3 +4)7 dx Determine the antiderivative given above. Do not include the constant "+C" in…

A: The integral is given by,

Q: x-2 6) Find the antiderivative: - (x+1)2+4

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Q: Find the most general antiderivative of f(x). Note: Any arbitrary constants used must be an…

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Q: 6. Find the antiderivative of e(4lnx) - e(4x 5 4 O e e4x 5 4 +C +C 04-e+ +C 4x³-4e4x + C

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Q: Find the general antiderivative for 3Sec^2x-4/x^2

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Q: 7= - + Cle2x general solution to the DE y"=2y+x Find C1 with the given condition y (1) =1/4

A: Given DE is y''=2y+xand the general solution is yx=-x3-14+C1e2xand given condition is y1=14find C1

Q: r (5) r) 6Г (2.88) 2- r(-2,5 )r (4) 1- 3- ЗГ (088) r (2)+ r (3 ) 4- e-** dx 5- S Vy e-y* dy

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Q: Find all antiderivatives of -6x for n # -1. The antiderivatives are of the form:

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Q: FCX)= [x+1 X -0, Y +I when X 7] when X <o,owhen gidu banav on is FCX) Continous a X = 0 And why CIA

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Q: Find the antiderivative of x*(x+8)1/2

A: I=∫ xx+8dxPut x+8=u⇒x=8-udifferentiate w.r.t. xdx=duI=∫ (u-8)uduI=∫ uudu-∫ 8uduI=∫ u32du-8∫…

Q: 3. f(x,y, z) = e-Tyz.

A: Need to find derivative of given function

Q: Find all antiderivatives of 5x" for n # -1. The antiderivatives are of the form: 5nx" n-1 Did you…

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Q: Find the most general antiderivative of the function 3te-3t. 1 -3t -(t + + C (+)e" +C -3t + C 1 -3t…

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