8. - Evaluate | 1 dx 1+x а. d. none of the choices b. 1/ 2 е. -co с. f.

Q: _11. What is Sdx? A. +C B. +x + C х-1 C. c. ++ 2x + C x(2x2+3x+6) + C x3 D. _12. In solving S th dx,…

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Q: Question 1 Simplify +V225al6b36. Order the variables alphabetically.

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Q: 5. S: 3x²+4x+1 dx x3+2x²+x+2

A: Topic:- integration

Q: dy 1. 3 dx |4 — х2 ; у(1) 3D1 y5 6. С. 1 59 A. 3y6 + 2x3 – 24x + 19 = 0 3*° – 4x + 21 уб D. 2 y6 + 6…

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Q: Se-Xdx а. - e-X + C b. (-x+1) e-x+1 + C e-X+1 + C In e C. d. None of the above

A: we know that ∫eaxdx =eaxa+C

Q: Solve for the value of x 4 *3 > 16 X+3 O a. x21 O b. x<1 x2-1 O d. x<-1

A: Given: 4x+3≥16

Q: Evaluate /x ex dx ,6x Ο None ,6x x2(등) + 2x() -2() + C ebr 6. 216 x2(등) - 2x() + 2(%) + C 6 36 ,6x O…

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Q: Evaluate. Check by differentiating. Sxe-* dx A - (x - 1)e-X + C B В -(x + 1)e-X + C (c) -xex + e¯X +…

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Q: ди In[x²e*Y], solve ду Given u =

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Q: A. y = x² + 2 Е. у 3 (х- 2)2 I. y= 2x² B. y = -x² + 2 F. y = - (x + 2)² J. y = -2x² C. y = |x| + 2…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: dx- 3 (9 — бх — Зх2)2 -

A: Consider the given integral. I=∫x9-6x-3x232dx First, make the complete square of the denominator.…

Q: The range of y = 4sinx + 5 А. —4 < у <4 В. —9 <уS9 С. -1 <у <9 D. 1< y<9

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Q: If J x° e" dx = e (A) + c, where c is a constant. Then A = Select one: a. x3 – 3x2 + 6x + 6 b. x3…

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Q: If h(x) = x - 1, then x is when h(x) = 1. а. 1 b. -1 -1 С. 2 d. 1

A: I think, there is some problem in question, so, don't worry I calculate both possibilities h(x) and…

Q: 17 How many roots does y = x - 4x² + 3x have? А. 3 В. 4 С. 5 D. 6

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Q: 2. Find all solutions to the following equation on the interval [0, 27|]. TCOS X п 11т a. X = 6' п…

A: Given:

Q: (x* + 2y) dx – x dy = 0. ANS. 2y = x* + cx². %3D

A: We will find out the required solution.

Q: dz Suppose z is a function of a and y, and tan Vy2 + #² = 2"¢&v. Solve for dz and dy

A: Solution :-

Q: _3. S(3v +) dx = D(x + 3) + C

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Q: 6x² + 7x – 6 dx (x² – 4)(x +2) 38. Evaluate

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Q: x4+8x2+8 dx x3-4x е. f. (*+19x+10 dx 2x4+5x3

A: e)   Given data:   The given integral is ∫x4+8x2+8x3-4xdx.   The given expression can be written as,…

Q: solve the ODE using the Method of Undet Coefficients. Clearly label y, and y, and then state y =…

A: Introduction:   A differential equation is an equation that contains the derivative of an unknown…

Q: 1. (х — Зу + 2)dx + 3(x + 3у — 4)dy %3D 0

A: As per bartleby guidelines we only give first question answers.

Q: For #'s 6-9: y= (x+3)(x+1)(x-2)(x-4) 6. Find the value of y when x= -2. А. 24 В. 26 С. -24 D. -26

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Q: C. Trigonometric Substitution. 9-у 1. dx 2. e2x+1 r2+VZ 3. (2+vz х. 4х — х2

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Q: The solution of the ODE: y' +y = x² +2 y=j ex*/5 (x² + 2)dx + C None is:- y.e/5-fe*/5 (x² + 2)dx +C…

A: Topic = Differential equation

Q: If p dP > dx which of the following is equivalent to ~ +(²+²)(-+) " ( + + P ) ( = = 2 + P }) Inx+P…

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Q: 20 How many roots does the function y = 2 – 10 have? A. 0 В. 1 С. 2 D. 3

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Q: Q 3. A. Find 1. £(t2 – 4t + 5)u(t – 3) 2. y-y +2y cos 3x - sin 3x 3. E-- s2 s+1

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Q: 2. Find the Solution 3=1.6 O.07 3. Find the Mocisure. of the markes ar 9. 8X+26 10

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Q: lim х-2 x→2 Vx + 7 - 3 Score С. 1 А. 6 В. 4 С. 2 D. 0

A: As we can observe that it is an indeterminate form(0/0). To solve the limit, multiply and divide the…

Q: 3. Choose one of the following first-order equations to solve. dy (x² + 1): + 3x(y – 1) = 0 dx а. %D

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Q: f of If dx + In(7y), what is ? - дхду Select one: 1 7. а. дхду y y b. дхду - y + 7e?y С. дхду 1+e7y…

A: Option E is correct.  Make x constant

Q: с. xy" - 6y = 0

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