Find the volume of the solid obtained by rotating about the x-axis and the region bounded between: y = x?,y = 0, x = 0 and x = 4.

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Q: Find f. f"(t) = 5et + 4 sin t, f(0) = 0, f(1T) = 0 f(t)

A: topic- differential equation

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Q: Evaluate the following expressions. Your answers must be exact and in simplest form. (a) In e l = -1…

A: We can answer the questions as below.

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A: In calculus, an antiderivative, inverse derivative, primitive function, primitive integral or…

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A: Differential equations

Q: Next Solve the system of differential equations 17x – 8y | y' 36х — 17у æ(0) – 10, y(0) - 23 || The…

A: We have to find the eigen values and eigen vectors.

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A: Solved below.

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A: Let's find.

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Q: csc2 3x Evaluate J cot³ 3x csc² 3x dx ● 금cot-23z +c O cot 23xcsc3x + c O 6cot 3xcsc3x + c ○ 글cot?…

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Q: . For the function below, answer the following questions: 31 2 2. 3 4 5 6 ) Where is the function…

A: Since you have asked a question with multiple parts in a single request, we would be answering only…

Q: Find the domain and range of y = log,(7 + 5x). The domain is: The range is : > Next Question

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Q: Evaluate the summation i=1 28 10 30

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Q: Solve the triangle. Round your answer to the nearest tenth. mLA = 46°, c = 9, a = 8 mLB = 8°, m2C =…

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Q: 1. Use the graph of f(x) below to a Determine tht demain and ramge-ofthe fencion D Tind all x such…

A: From the given graph we have to find its required information.

Q: ne differential equation (9x-4y+4)dr-(2x-y+1)dy =0, the lines 9x- 4y +4 = 0 and 2x-y+1)=0 intersect…

A: Please refer to the image below

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A: Given query is to find the Indicated time.

Q: エ→2 x² -4 1- cos 2x 7) lim X sin x エ→0

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 1 What is the instantaneous rate of change of Y= at x = 2? - o-1 4 O none of these -1 -1

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Q: Solve the triangle. Round your answer to the nearest tenth. mLA = 37°, a = 28, c = 26 %3D m/B =…

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Q: I -4 () Draw the graph of f(x) 6.

A: Using graphing calculator,

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A: Root of multiplicity is defined as the number of times each roots appears.

Q: Тапх-x 1) lim x-0 x-Sinx

A: We are asked to find the limit of the function

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A: Given query is to find the maximum possible area.

Q: Graph the polar equation. r-4 cos 0 1444 1234.

A: To graph the given polar equation.r=4 cos θ

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A: For a separable equation, Variables can be separated each side of the equation.

Q: In AZXY, y = 11m, x = 12m, mZZ = 141°. Find the area of the triangle and round to the nearest tenth.…

A: Find the area of triangle

Q: 7. Determine the integral| 2+1

A: The given integral,    ∫x dxx2+1

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Q: Use the Squeeze Theorem to show that lim x* cos = 0. If If(x) < B| for all x in an interval…

A: Squeeze (Sandwich)Theorem The Sandwich Theorem, also known as the squeeze theorem, is used to find…

Q: Evaluate the difference quotient fla+ h) - fla) for the function f(x) = 6x. 1

A: Given  f(x) = 6x  We need to find the difference quotient  f(a+h) -f(a)h…

Q: 1. S x(x2022+1) dx

A: The given problem is solved below in detail.

Q: If a series Σ an n=1 is convergent, then it is absolutely convergent.

A: 1)∑n=1∞ an is convergent,then the series may not be convergent.for example, an is alernating…

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A: Solution

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A: Topic:- application of derivatives

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A: Given

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Q: 4. 7. Suppose f(x)dx = -6, f(x)dx 6, and g(x)dx = 2. Evaluate the following integrals. 2 ... Jgndx =…

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Q: Problem 5 Solve (y')? + 2 y' – 3

A: We need to solve D.E.

Q: complete

A: As per policy only first three questions are answered. Please refer to the image below

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Q: Find the curvature of the space curve. r(t) = - 3i + (3+2t)j + (t +8)k %3D

A: The given curve    r(t)=-3i+3+2tj+t2+8k

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A: