Evaluate the definite integral number 3 using substitution

Q: Question E.) 36 Al 2+3^ 3^ +4^

A: Explained below

Q: Look for the volume of the solid produced by rotating the region enclosed by y = sin x, x = 0, y =1…

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Q: By using Interval Halving nethod, If the lies in the nterval [1,2], e=0.02the oot of the f(x)=x^2-3,…

A: Follow the procedure given below.

Q: 18. f (x+9)dx x²+6x+25

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Q: y = (4 + ³√/x)³ 3

A: Inverse function

Q: 1. J x + 2)* dx A. (x + 2)6 + C О А о B о B. 6(x + 2)6 + C (x+2)6 6 + C

A: As per guidelines we can answer only one question at a time, so the first question can be solved as…

Q: Question 36 To integrate x³ ex dx, we apply integration by parts and in the form u dv, dv is set as:…

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Q: Question 11 Find the determinant of the matrix, A 2-13 B 2²-12λ + 13 C 22-122-13 D 2²+12+13 2-11 4 ]…

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Q: dw Q11- express by using the chain rule: dt w = ln(x² + y² + z²) x = cost, y = sint, z = 4√t

A: We have to express dwdtby using the chain rule:

Q: het Q be the differential operator defined by Q(y) = y(3) +44 (2) + 5y² + 2y a) golue: Q (y) = 10…

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Q: In Exercises 1 and 2, compute the solution of the given IVP. 1. d²y dt2 +9y2 cos(3), 2 cos(3t),…

A: Since you are asking multiple questions. We are answering only the first question as per our…

Q: State the domain, vertical asymptote, and end behavior of the function.   g(x)=ln(2x+12)+1.8…

A: Solution is here

Q: Derive the formula for trapezoidal Rule to evaluate f f(x) dx

A: The trapezoidal rule is to find the exact value of a definite integral using a numerical method.

Q: Find the area of the surface obtained by rotating the line y = 19x + 6 about the x - axis from the…

A: Area of surface is evaluated.

Q: FCILICI B. Find the general solution of the following 2nd order differential equation: y +2y + 2y =…

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Q: 2. +4y= sin(3t), y(0)=2, y'(0) = 0

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Q: Find the slope of the tangent line to r²e³ + y²e² = 2e at (1,1).

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Q: blanks 1 3. The angle between vectors A = 91-j+5k and B=(-2,7,1) is...... 4. If = (-12,4,8) the…

A: ssolution given below

Q: 6. (10 points) Give the equation of the tangent line of the following function at point a = 1: xe…

A: Solve by Differentiation

Q: Which of the following is not true? A None of the given choices .3 dx dx S₁ in (x²) B lim S c+1+³c…

A: Let's solve.

Q: (d) Given r(t) = (ln(t+1), t cos 2t, 2¹). (i) Find r'(t). (ii) Find parametric equations for the…

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Q: Make Detailed solution TECHNIQUES OF INTEGRATION

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Q: Arrange the choices in order 1,2,3.. to prove: For any sets A, B and C x (BU C) = (A x B) U (A x C),…

A: Here we have to arrange the option.

Q: Consider the system: a) show that [3t+4] =-2t+1 4 Z t-1 b) golve (*) with the initial condition.…

A: Solution

Q: An incomplete intermediate simplex table for an LPP is given below: -1 Cj 3 -2 0 0 CB Basis XB X₁ X₂…

A: We want to know the basic variables in the given question.

Q: 6. Find of z = In(xy) 8²y

A: Given:       z=lnxy     ∂z∂y=∂∂ylnxy  Treat x as constant  Apply chain rule:…

Q: Find 12+ 17 +22+27+· ... + 1522 using a technique from this section.

A: Topic = Sequence

Q: up 1. √ √2x + 1 dx

A: We have to find the solution  As per guideline we have to solve one question please repost other…

Q: Find the length of the arc of a circle of diameter 10meters subtended by a central angle of π/4…

A: Given:  diameter =10meters

Q: The following chart shows student population in a certain elementary school over a 5 year period.…

A: topic- average rate of change

Q: Reverse the order of the integration ² dy dx + 2 dy dx equal:

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Q: FCILICI. B. Find the general solution of the following 2nd order differential equation: y +2y + 2y =…

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Q: 15 Ső 0 X √x+1 ах

A: We have to solve the given definite integral

Q: consider the power series "(x-2)"" √n+2 n=o 1. Use Limit Comparison Test to show that the series…

A: Solution is here

Q: Let (1) u(x, y) = xx vx, (2) u(x, y) = In(ex + ey). (3)

A: u(x,y)=xyyx u(x,y)=ln(ex+ey) Repost the next parts.

Q: Q1: Find the third Maclaurin polynomial to f(x) = sinx

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Q: 1. Evaluate the given integral Q. Q - L. f.²² (y - 2x^²) dz dx dy Your answer

A: According to Bartleby guidelines, we are supposed to do only one question. If you want more to be…

Q: Let f(x) Calculate lim I-3- lim I→-3+ lim → 3 1 I +3 if x 3 - the following limits. Enter "DNE" if…

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Q: ind A or each of the following intervals, tell whether f(x) is increasing or decreasing. -∞o, A):…

A: Topic:- calculus

Q: Question R is the region bounded by the functions f(x) = -and g(x)=-. Find the area A of R. Enter an…

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Q: Derive the following function 9. y In x+1 x-2 10. Dºsin(x)

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Q: fx cos 2x dx

A: Let's solve given integration.

Q: 3: Fill in the blanks in the following: 1 3. 4. If = (-12, 4, 8) the position vector of u…

A: Topic:-  vector algebra

Q: (c) Show that the function is a solution of the differential equation (−1)" x2n f(x) = Σ (2n)! n=0…

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Q: 5. Find the equation of the tangent lines to the curve y = x² + 3x -4 and parallel to the line 6x…

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Q: 1. y = √2x +7 2. y = √7+√√3x + 1 3. y Arctan√1-x²

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Q: Solve the differential equation: (1+x3)dy - x2ydx=0; y(1)=2

A: Solve the differential equation: (1+x3)dy - x2ydx=0; y(1)=2

Q: Find the slope of the line satisfying the conditions. parallel to 7x + 5y = 57 Select one: O A. m m=…

A: We know  slope of two parallel lines are same. Now,  the given equation of line is 7x+5y =57. We…

Q: S x³ e ³x dx

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Q: Use the one-to-one property of logarithms to find an exact solution for   ln(2)+ln(2x2−6)=ln(69)…

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