can be solved using x² + 4 1. Integration Leading to Inverse Trigonometric Function/Ad II. Integration by Partial Fraction III. Integration by Trigonometric Substitution A. I & II B. I & III C. D. II & III I, II & III

Q: alyze the following equation and graph it. 36 9-8 sin r= ich of the following is the correct…

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Q: Solve y(x) in the differential equation using Laplace Transform. y" + 4y + 10 = e-³x + sin(x); y(0)…

A: I am attaching image so that you understand each and every step.

Q: dx xy dy x² + y² Ans. y² = 2x²ln (

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Q: Find the area of the region bounded by the curves y = x² and y = -x² + 4x. 9/4 11/3 12/15 8/3 none…

A: Solution: Firstly let's find the limits of the Area since  y = x2 and y = 4x - x2

Q: 100 t/min -6 ft As shown in the above picture, a 6 foot tall man is standing on a beach at night. He…

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Q: Find the angle between the vectors. (First find an exact expression and then approximate to the…

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Q: Integrate 01-In x + C о √(5-2) x – 10 ln |x| X - - - 1 10 In |x| 2 25 Olnx-25x + C ▬▬▬▬▬▬▬▬ X dx. +C…

A: Topic = Integration

Q: Answer true or false. If f is not piecewise continuous on [0, ∞>), then L{f(t)} will not exist. O…

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Q: 28. Write the expression as a sum and/or difference of logarithms. Express powers as factors. log 2…

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Q: 2.: Select the correction choose. A) Using two iterations of the Simple Iterative Method, find the…

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Q: Fill in the blank. (Enter your answer in terms of t.) { } [ 2 12s + 40 G S

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Q: Please explain how to find the fifteenth derivative of f(x)=2x^15-3^x, f^15(x

A: Topic - Derivative of a function

Q: Question Find the value(s) of k that makes the given function continuous. f(x) = { √kæ if 0 < x < 3…

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Q: A deposit of $100 is made at the beginning of each month into an account at an annual interest rate…

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Q: Given that: f'(x) to the left of x=4 is negative f'(x) to the right of x=4 is positive S'(4)-0 What…

A: First Derivative Test: Let a be a critical point such that f'(a)=0. If f'x changes from positive to…

Q: 2. Set up the triple integral to find the volume inside x² + y² = 9, above z = 0, and below x+z = 4.…

A: Solution is given below:

Q: Find the 9 9th roots of 12-13i

A: 12-13i = re-iθr=122+132=313θ=tan-11312=-47.28

Q: Find the average rate of change of the function over the given interval. f(t) = 6t² - 5, [1, 1.1]…

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Q: A system of equations is made up of an ellipse and a hyperbola. Part A: Create the equation of an…

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Q: Compute for the arcsinx dx . Which of the following is not an antiderivative of the function f(0) =…

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Q: The bakery at Sam's club makes jumbo cookies and regular cookies. The oven can make at most 200…

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Q: 1. Determine the intersection points (in polar CO- ordinates) of 62 and 63.

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Q: r true or false. F(s) = s²/(s² + 4) is not the Laplace transform rue alse

A: topic:- Laplace transform

Q: (x² + y2) dx + xy dy = 0.

A: Given, x2+y2dx+xy dy=0

Q: 2 p4 p2 0 -1 (8x-2y+z)dxdydz

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Q: If we wish to compute the number but we compute the approximation what is the relative error? a. 0…

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Q: -2x 2. (D² + D − 2)y = e−²x + 3e²x

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Q: 7. The function f(x) has a critical point at x = 3. This could mean that A. There is a minimum at x…

A: Topic = Derivative

Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

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Q: Find the following for the given equation. r(t) = (e-t, 7t², 9 tan(t)) (a) r(t) = (b) r"(t) = (c)…

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Q: 11. Evaluate the area under the curve y= on the interval [7, 9].

A: Given,            The curve is y=x2 and the interval is 7,9.To find : Evaluate the area under the…

Q: An open box of maximum volume is to be made from a square piece of material, s = 24 centimeters on a…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

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Q: /2 p2x 1. Evaluate f/²*** cos(x - 2y+z) dydzdx. (Hint: Use the fact the sine is an odd function.)

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Q: 2 2 [²³x² x² dx. 0

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Q: Let a R and b E R. Suppose that a > 0 and b>0. Give a counter example to show that the following are…

A: Given data:- a∈Rb∈Ra&gt;0b&gt;0 a ⌈a+b·a-b⌉=⌈a+b⌉·⌈a-b⌉(b) ⌊a-322⌋=⌊a22⌋-3a+5(c) ⌊a-b2⌋=⌊a2⌋-⌊b2⌋

Q: 43. If you use the ratio test on the divergent series inequalities will result? +1 > 1 A. lim B. lin…

A: The objective of the question is checking the divergent of series.

Q: 1). Compute the general term an of the series with the given partial sum Sn. Sn =  n(n + 1) 2, n ≥…

A: Solution:

Q: 17. If the function x² - 4 constants A and B respectively are: A. A=- B: B. A 11 1 4 B is resolved…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Inverse laplace

Q: 3) Let two vector functions be defined by r₁(t) = (t², t, 3t³) r₂(t) = (t − 1,²—7,5 – t) - a. Find…

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Q: In 1954, the Tenth General conference and Measures adopted the Unit on Kelvin [K] the basic for…

A: We have to find the function that relates Kelvin and Fahrenheit.

Q: 1. Using the general form of a circle, find the equation of the circle that passes through the…

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Q: *¨^(-1)]. Find the exact value of cos 2 cos cos [2 cos ¹(-2)]=0 (Simplify your answer, including any…

A: Given :cos2cos-1-12

Q: 2.: Select the correction choose. A) Using two iterations of the Simple Iterative Method, find the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: The given family of functions is the general solution of the differential equation on the indicated…

A: The objective of the question is determine the particular solution of the given differential…

Q: Evaluate the integral. (Hint: use substitution then integral by parts) fx²√x + 22 dx

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Q: Integrate: S dx sin ³x cos6x

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Q: Find the area of the region bounded by the parabola y² = 2x2 and the line y = x - 5.

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