(b) Find the area of the region that lies inside the first curve and outside the second curve. r = 1 - sin 0, r = 1.

Q: Question 8 Which of the following integrals would best approximate the area of the region bounded by…

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Q: Using integrals, find the area bounded by the following:  f(x) = 4x2 + 20 g(x) = 8x + 32 x = - 4…

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Q: The region in the first quadrant bounded by the graph of y=8-x3/2, the x-axis, and the y-axis is…

A: The objective is to find the appropriate integral to be used to find the volume.

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Q: Evaluate Jx/2 6 sin x (cos x + 1)³ dx

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Q: 2. Find the Domain of the function: h (x) = 4x x (x² – 9)

A: Given function h(x)=4xx(x2-9)

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A:

Q: y" - 3y" + 3y' - y = x - 4ex

A: Let's solve diffrential equation.

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A: This question can be solved by using the concept of nature of roots of n degree polynomial.

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Q: egion in the first quadrant is bounded by the curve y=1+ sin²x, the coordinate axes and the line x==…

A: Topic:- application of integration

Q: 6. y = x Arccsc (¹)

A: we can find the y' as below

Q: y = x², y = 0, x = 1, and x = √5

A:

Q: .2 (a) x² + y² (b) 3x2 + 3y

A:

Q: If Æ(x) = 2x + 1, find Æ(a + h). 2a + 2h + 1 a + h + 1 2a + 2h + 2 2a + h + 1

A: Here we will find E(a+h),

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Q: Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise…

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Q: A: By using Linear equation solve the first order differential equation y' + sec(x)y = cos(x)

A: As we know the standard form of first order linear differential equation. dydx+Py=Q Where P and Q is…

Q: Find the center and radius of the circle whose diameter has an endpoint at (3, -4) and the origin. 5…

A: Given that the endpoints of the diameter are 3,-4 and 0,0.

Q: Find the average rate of change of the function over the given intervals. 3 f(x)=2x³ +2; a) [3,5],…

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Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum…

A: Topic:- calculus

Q: To integrate x³ exdx'' X we apply integration by parts and in the form u dv, u is set as:

A: To integrate x3ex dx. We apply integration by parts amd in form of udv. u is set as

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

A:

Q: The graph of y = f(x) is given. 5 4 1 -4-3-2-1 123 -1 324 2 2 -5 -6+ State the value of each limit,…

A: Consider

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A: Topic = Geometry parabola

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A: We have to find work done.

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A: We need to find time and rate of area increase. As per Bartleby's guidelines we can only solve 3…

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Q: 21 = 106 55 104 102 ܐ

A: We have to find the sum of the series.

Q: 1. ²³(x³ + x) dx 3

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Q: The region in the first quadrant bounded by the graph of y=8-x32, the x-axis, and the y-axis is…

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Q: } L 1 (s? +1)(s? + 25)

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Q: For the function f(x) = -5x, find the difference quotient f(a+h)-f(a) = h f(a+h)-f(a) h

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Q: 00 country song NR6) If all of the letters in the word PENCILS are used, the number of arrangements…

A: Given ,  If all of the letters of PENCILS are used, the number of arrangement with all of the…

Q: R5) If nC5 = nC12 then n =_

A: According to bartleby guidelines when student post more than one question then expert must have to…

Q: 6. Evaluate the volume generated by revolving the area bounded by the given curves using the washer…

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Q: 11. y = tan e³x + etan3x

A: We can find y' as below.

Q: i. Given that log x=12, log, y = 15 and log, z = 18. Consider the following four logarithmic…

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Q: Q4: If f(x,y) = x²y +exy Siny Find 1) 2) (D = f) po Po at po(1,0) in the direction of 0 =

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Q: 1. Lim x-2 X x² - 4 x³ -x-6

A: Lets factor x3-x-6: x3-x-6=x3-2x2+2x2-4x+3x-6                =x2(x-2)+2x(x-2)+3(x-2)…

Q: how would I find the domain of the vector function r(t)=cos(t)i+ln(t)j+1/(t-4)k?

A:

Q: Find the area bounded by y=√x and y= 2 (A) 2/3 (B) None of these C) 4/3 (D) 10/3 E 5/3

A: topic- area bounded by curves

Q: Evaluate fxsin zdz. 00 01

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Q: For the function f(x) 2x2, find the difference quotient 4a + 2h h 4 a²+ h 4 a + 2 h f(a+h) h f(a)

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Q: 8. Determine whether the series (-1)" is absolutely convergent, conditionally 7n-5 n=1 convergent,…

A: