1. Solve the initial value problem 2 = x? – 1, y(3) = 7. dx

Q: True or false every rational number is a decimal

A: Rational number is a number in p/q form, where q not equal zero.

Q: H.W : The region bounded by the curve y= x² and the line y=3x is revolved about a) x-axis b) y-axis…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

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A: We have to find the integral.

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A: Given:x=2cosθ and y=1+2 sinθWe need to express the circle in cartesian coordinates.

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Q: (2 C/2x-x² 30. Vx² + y? dy dx Jo

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Q: dx 4–3x²

A: integration

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A:

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Q: x²+2x²y=2xy+2xy²–3y The expression is equal to x+y

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Q: Differentiate y = (9x- 11) log3 (1læ – 9). %3D A. y' = 9(11x-9)+11(9z-11) In(9r-11) (9x-11) In(3)…

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Q: Convert 130° to radians. Evaluate sin A if cos A – ? (5 and

A: Please refer to the image below

Q: Problem #7: A rectangular garden is fenced on three sides, and the house forms the fourth side of…

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Q: 2. Evaluate ((x +3)° 3x²dx. A) x* +3)* + C B) + 3)* +c D) * + 3}° +C a

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Q: answer

A:

Q: At what point on the line y = b does the line segment from (0,0) to ( a,0) subtend the greatest…

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Q: answer item 2

A: Topic:- limit

Q: (-1)" „2n for all x E R. (2n)! Consider the series expansion of the cosine function cos(x) = > n=0…

A: nth degree Maclaurin polynomial for f(x) :       f(x) =∑ i=0n fi(0)i!xi   =…

Q: How were you given 1/x

A: dlnxdx = 1x

Q: x2 dx - 1

A: See the details solution in below

Q: Q: The differential equation whose auxiliary equations roots are 2,2,1 is (a)Ae* + Be2x* + Ce2x (d)…

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Q: sin y dy 3

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Q: dr Vr – 9 3

A: We can find the integration as below.

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Q: c) y4 4 3 -2- 1- C -2 -1 4 31 -2 + (O

A: Given query is to find the equation of the line.

Q: 6.) What is the derivative of f(x) = x| at x= 07 a.) r'(x) = 1 c.) f'(x) = 0 b.) f'(x) is undefined…

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Q: An inverted pyramid is being filled with water at a constant rate of 70 cubic centimeters per…

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Q: P8: sin x cos x -dx J (2 sin x – 1)(sin x + 1)

A: ∫1au+bdu =1a lnau+b+C

Q: dx 1-Cos r

A: The Given integral is 1/(1-cosx).

Q: Problem #7: A rectangular garden is fenced on three sides, and the house forms the fourth side of…

A:

Q: 2. If f(x) = ax3 + bx?, determine a and b so that the graph of f will have a point of inflection at…

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Q: The integral of the given function ſ (4 +) dx is equal to a. 6 b. 7 с. 4 d. 8 e. None of the above А…

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Q: 6. s) Rewrite (without any justification) the integral as an equivalent iterated integral in the…

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Q: 2. Which of the following is the process of finding the antiderivative of a function? A) Limits B)…

A: Topic:- integration

Q: Checking using Second Derivative Test

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Q: Show all necessary solutions. I. By Vertical Strip: Find the area bounded by the curve 2y = 3x + 12…

A: For second question reupload it according to bartleby guidelines i can do only one question

Q: Find T(t) and N(t) at the given point. r(t) = (t – 2)i + tj; t = 2 4 i+j T(2) : V5 N(2) = i

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Q: Change the following polar equations to rectangular form. Show work 6. 2. r = 13. r= 5cos0 4-cose…

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Q: Let f(x) = (7sin a + 4cos z)tan-a f' (2) -

A: Topic:- derivatives

Q: Find the intervals on which​ f(x) is​ increasing, the intervals on which​ f(x) is​ decreasing, and…

A: To solve the following function properties

Q: I have never seen this way before, and it is not easy to follow. How did you go from 0 to 1 on the…

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Q: culate the value of (100°)' × [10-7 x (0.1)* ] ". . Give answer as a power of 100.

A: Topic:-  simplification

Q: there is a typo on the first solution -6+3 is supposed to be -3 right?

A:

Q: 5-6 Sketch the region whose area is given by the integral and eval- uate the integral. 5. ". 2 (7…

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Q: sinh x – 1 dx cosh x

A: The given integral,        ∫sinhx-1coshxdx