1. √2x+1 -15 2. So √x+1dx -0.5 3. 5x(1-2 4. fx√x-3 5. fx √x+1

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Q: n j=11 (j + 2)² = E first step 2nd step 3rd slep 4th slep final answer

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A: We have to find the integral

Q: dx 20.5 x√4x²-49

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Q: 11) Suppose that B, (fix) be the Bernsten polynomial. Then ((B₂B)(t.:x) = (b) x (c) x² (d) No Answer…

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Q: 9. f √x³-1dx x

A: Given: I=∫x3-1xdx    ...1 As we know that; ∫11+x2dx=tan-1x+C

Q: 6. Find of z = In(xy) 8²y

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

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A: Fx=fx4 and Gx=fx4a3=12, f(a)=3, f'(a)=4, f'a4=7

Q: B. Find the general solution of the following 2nd order differential equation: y +2y + 2y = 0

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Q: Find the area of the region enclosed by the graphs of f(x)=x²-10x and g(x)=6x 50-64

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Q: (b) Find the area of the region that lies inside the first curve and outside the second curve. r = 1…

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Q: Find the altitude of a rectangular closed box with volume 100 cubic inches with length twice the…

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

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Q: Productivity-diminishing returns Suppose the pro- luctivity P of an individual worker (in number of…

A: We need to find out the number of training hours for the maximum rate of change in productivity.

Q: Test Content Question 9 In evaluating Add your answer 5 dx is same as evaluating lim (In(f(x))).…

A: The integration of the integral is 1/sqrt(x2-9).

Q: 1. f(x + 2) ³dx A. (x + 2) + C A О в O 2. fe²x+1dx A. ²x+1+C O A. B. O C. B. 6(x + 2) + C B. e2x+1+C…

A: Here is the solution:

Q: B. Graph each equation. 3. 3x²2y² - 12x + 12y = 12 4. x² + 2y² + 2x - 8y = -5

A: Graph of : 3x2 - 2y2 - 12x + 12y = 12

Q: dy Use implicit differentiation to determine given the equation x² + y² = 9. d.x dy dx =

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Q: COS cos t 1 - sin t - dt

A: To evaluate: I=∫0π2cos t1-sin tdt

Q: (b) In +8 x² 2 - 36

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Q: ow that the differential form in the integral below is exact. Then evaluate the integral. 5,1) 20x…

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Q: xdx √2x-1 1.5.

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Q: y'= tan(x+y) - 1

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Q: Use the trapezoidal rule with n = 20 subintervals to evaluate I = -5 sin² (√0× t) dt

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Q: Evaluate 7/2 Iva each of the following:- √2 √ tane do

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: 10. State whether the following series converge or diverge. Justify your answers. (b) Σ (# + gr)…

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Q: Q2: Find Maclaurin series for the function f(x) = (4-x) (four terms only), then find the error…

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A: We want to check the continuity of the function at (0,0)

Q: Derive the following function 3. y=x√x 4. y = ³√x + ³√x

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Q: D. Diego walks at the rate of 5 ft per second toward a street light whose lamp is 20 ft above the…

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Q: Does the follewing finile & Series ooveryor dinerge E T $ (Inn) N-2

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Q: Evaluate x ds, where Cis с a. the straight line segment x = t, y = = 737₁1 3' b. the parabolic curve…

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Q: Evaluate the following: π 1.² (cot 20 + csc 20) de 6 TU cost 2. S1-sint 2 dt

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Q: Solve the differential equation: sin y (x+siny)dx+2x2cosydy=0

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

A: Topic = Sequence

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Q: Using Fundamental Theorem of Calculus (FTC). Compute the following

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Q: Derive the following function 7.y=sin(tan sin2x)

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

Q: Question 13 x₁ - 3x3 = -2 Find the solution to the system of equation 3x₁+x₂-2x3=5₁ 2x₁+2x₂+x3=4 A)…

A: By Gauss Jordan elimination

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Q: A. Determine if p = ï - 3k and q = 61 - 3j - 4k are parallel, orthogonal or neither. 3. Find the…

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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: The degree of DE: (y")^2 +3y(y')+y^3 (y')^5 = 5x 02 01 05 0 3

A: Recall:  The degree of D.E. is the highest power of the highest order derivative in a D.E.