비신부 4 x² sin(2x) dx

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A: We will solve the problem

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A: Follow the procedure given below.

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Q: EXAMPLE 1 lim x+1 X-1 SOLUTION Since lim 2 In(x) = 2 In(1) = = x → 1 we can apply l'Hospital's Rule:…

A: Here we have to find the limit of the function.

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

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A: Here we have to use the concept of derivatives.

Q: Problem 4. (. Let C be the curve given by parametric equations r(t) = 1², y(t) = 2t, z(t) = ln t, t€…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: Find an explicit description of Nul A by listing vectors that span the null 1-4-20 A= 0 0-10 0 A…

A: In order to find the explicit description of NulA we have to find the solution of the system Ax=0…

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Q: 9. √x SOL -√√x dx

A: We will solve the given integral using simple Integration rules.q

Q: The value of a. 11.807 2.2 xe* dx by using the three-segment trapezoidal rule is most nearly 0.2 b.…

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Q: EXAMPLE: (0,0) 3x-2y 26 5x+45 O > 5 x a 1915 CRITICAL POINTS -A (30) ( B (2.0) 1 D ( ¾/5,9). ✓c…

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Q: F Find the area of the region bounded by the curve y = x³ and the lines y = -x, y = 1. (Draw the…

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Q: 20. √9-5x² X -dx

A: SOLUTION-

Q: Read, analyze and solve for the following. Express your answers as decimals rounded off to two…

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Q: Find the maximum and minimum values of the function ㅠ g(0) = 60 - 7 sin(0) on the interval 0,…

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Q: ¹In(1+x) -dx 0 X

A: Expand log series

Q: integral

A: Please refer to the image below

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A: We have to find out the derivative

Q: Question 12 ( What is the function of cos that has an amplitude of 4 a period of at (0,2)? and has a…

A: Given:  Amplitude = 4   Period = 2π  POINT : ( 0 , 2 )

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Q: Find the second derivative of f(x) = 9 sin (2x). Enclose arguments of functions in parentheses. For…

A: On solving this we will get

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A: The objective objective is to find f'(x).

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Q: Find the total area under the curve f(x) = 2xer² from a 2xe from x = 0 and a

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Q: 3. Let B=(2,4,6,8,10), C=(4,8, 10), and D= (xxis even). Answer the following questions. Explain (a)…

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

Q: EXAMPLE 6 Evaluate lim x In(x³). x →0+ SOLUTION The given limit is indeterminate because, as x→ 0+,…

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Q: What is the derivative of y = sinx x³ ?

A: Given that,   y=sin xx3

Q: Suppose the functions heas and reas are defined follows beas = 5x=2x² rexlx23x4 X+2 -2 Write down Oh…

A: We have to solve the given inequalities.

Q: For the function gox) graphed here, find the following limits or explain why they do not Im gox) e.…

A: Given,

Q: What is the derivative of y = (4x2 + 9x + 1)e-2? O no correct answer Oye-2 [2(4x² + 9x + 1) + (8x…

A: Solve the following

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A: We have to compute integral.

Q: Q3: Find the area of the region bounded by the curve y = x³ and the lines y = -x, y = 1. (Draw the…

A: Given problem:- Find the area of the region bounded by the curve y = x3 and the lines y = - x, y = 1

Q: ou are given the polar curve r = cos(0) + sin(0). a) List all of the points (r, 0) where the tangent…

A: Let's solve. Given polar curve equation.

Q: D. Calculate volume enclosed by (z = 8 - x² - y²) and (z = x² + y²), (Use order dy dz dx).

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Q: 2. Use differentiation to find a power series representation for f(x) = (1+x)²·

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Q: Q1/B) Find the length of the cardioid curve: r = 1+ cose

A: A detailed solution is given below.

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A: Topic = Integration

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Q: Which of the following is a point on the plane with equation n = (-3, -2, 2) + t(2, 2, -2) + s(1,…

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Q: A curve is given by the equation y = ln (2³+¹). x5

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Q: For items 22-23: The equation of a curve is y = 5tanx. 22. What is the slope of the tangent line…

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