Vx In xdx 1

Q: Solve 4sin^4 x -3sinx=0 if x ϵ [0,2π)

A: This question is related to trignometry, We will solve it using given information.

Q: Evaluate the integral: x+8x-3 xp x² +3x²

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Q: Find the value of the integral x²dx (x² + 9)(x² + 4)² 0-

A: The integral can be solved by first simplifying the integrand by partial fraction decomposition.…

Q: solve by finite difference ²x - ²)x=t dt²

A:

Q: Use the IVT to prove that r-5x2 + 2x = -1 has a solution. %3D

A:

Q: derive X3  - 2x/ex

A: To find the derivative of x³-(2x/ex)

Q: Express as an interval: {x : |5x + 3| ≤ 2}

A: Given : {x : |5x + 3| ≤ 2} Solve Absolute Value.   5x+3≤2   We know 5x+3≤2 and 5x+3≥−2   Solve…

Q: fxVx+ 6dx

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Q: Solve for A. ЗА t3D A =|

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Q: Find f"(2) if Ax) %3D x² - 3* 08 O -7 4 O 2

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Q: iven by 5x3 at x = 1 is: %3D

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Q: hat 6.x 7x - r+ 2 = (x - 1)(ax + bx + c) -

A: 14)  Given equation is 6x3-7x2-x+2=x-1ax2+bx+c Evaluate this…

Q: Evaluate fx - sec2 (5 - z) dz.

A:

Q: | x(1 – x)193dx

A: Proceed as shown below

Q: 2dx Evaluate (x – 3) Vx² – 6x + 5 -

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Q: Find 8. -- 」く入.ビ dt

A: Simple integration

Q: find integral  sqrt ( x2 - 9 )/ x  3dx

A: We have to evaluate integral of    x2-9x3

Q: Evaluate intergral  (ax)/(x2-bx) where a and b are constants

A: The given integral is ∫axx2-bxdx.

Q: Write a V ation of the line below. 8- 6- 2- -8-7 -6 -54 3-21 2345 6 -2- 4. -5. -6- CO

A: Given the graph of line:

Q: find ganeral From of taylak Seriesot FOA-In(3t4xl, about X-0 %3D

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Q: Show that Live - de = In(V5- 2). -1 Vx2 + 2x +2

A: We need to show that, ∫-11-dxx2+2x+2=ln5-2

Q: Find when y = -5 (In(x))¯4

A: Explanation of the answer is as follows

Q: dr Vr - 9

A: Given: I=∫drr3-9   ...1   As we know that; The Power rule: ∫xndx=xn+1n+1+C And ∫1ax+bdx=1alnax+b+C

Q: Compute (+4)2dx. f

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Q: . Find two positive integers such that the sum of the first number and four times the second number…

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Q: Solve: 3ln( -1)-In(t +1)?

A: We need to simplify the given expression. 3lnt2-13-lnt+1

Q: sketch the preceujse - def med tunctror -32+2 if x <3 far. for 2. of 3<Y<S

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Q: Find two positive integers such that the sum of the firstnumber and four times the second number is…

A: Let the first number be x. Let the second number be y.   Given: x+4y=1000x=1000-4y   Determine the…

Q: Solve for x: V3x +6 +V4x – 5 = 3 (4х — 5 3D 3 x= – 74+42/3 74+ 42V3 x = 74 – 42/3 x = 74 +42y3

A:

Q: 13, find all the ze 12. f(x) = 3x³ + 14x² – 7x – 10 %3D -

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

Q: Determine the upper bound on the error in the approximation – 16x5 + 256x° if |x| < 0.2 - 1+16x4

A: Given:x1+16x4 ≈x-16x5 + 256x9

Q: Express {x | −4 < x ≤ 8} in interval notation.

A: given x | −4 &lt; x ≤ 8

Q: Find the 3rd term of (x + 2)³.

A:

Q: the 1) By uing of far 3 deliv ahve 3x at X-2 . %3D

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Q: Evaluate the integral X3 + 6x2 + 3x

A: x3+6x2+3x take integration  y=∫ x3+6x2+3xdx y=∫  x3dx+∫  6x2dx+∫  3xdx

Q: Evaluate. 2 dt 3+t 2.

A: Using definite integration.

Q: Solve for x using natur 1) 5x-2 = 33x+2

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

Q: Verify that Jp+1(x) + 2/½(x) –- Jp-1(x) = 0

A: Verify that, Jp+1x+2Jp'x-Jp-1x=0 The Bessel's function Jpx is defined as follows, Jpx=∑n=0∞ -1n…

Q: Evaluate the integral 4x4- 12x2 +7 xdx.

A:

Q: Find product solution for this PDE: xuy - yuz = 0. %3D

A: Solution of partial differential equation.

Q: I3D

A: Given that: y =u and u = x2 + 1 .

Q: Use substitution technique (Vp+qx + x² = z – x) to show that dx 1 Vr2 + x + 2 +x – /2 - In Vx² + x +…

A: see the attachments

Q: 2x+5 교-4x+6

A:

Q: Find two positive integers such that the sum of the first number and four times the second number is…

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Q: Find three positive numbers whose sum is 400 and whose product is a maximum. Answer (separate by…

A: Let the three numbers be x, y, z. The sum of numbers = 400. Therefore, x+y+z= 400.…

Q: Compute x-x where x=i-2.

A: For the given value of x x =i-2  x3-x is evaluated as shown below