The base of a solid is the region in the xy-plane between the the lines y = x, y = 5x, x = 2 and x = 6. Cross-sections of the solid perpendicular to the x-axis (and to the xy-plane) are squares. The volume of this solid is:

Q: Find the area bounded by y= 2x³ and y=x³ + 3x²=4.

A: 2) To find the area bounded by the curve f(x)=2x3  & g(x)=x3+3x2-4. To find the intersection…

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A: Topic:- calculus

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A: Given :(a) ∫3t3t+2dt(b) ∫dxcos2x5+tanx(c) ∫12dt3-5t2

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A: ft=t,0≤t&lt;70,t≥7

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A: I have stated the used formula in the solution

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A: Topic - Extremas of the function

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

A: Formula:

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A: Solve the following

Q: Calculus

A: Topic:- sequence and series

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Q: x-intercept =

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Q: Use Theorem 7.1.1 to find {f(t)}. (Write your answer as a function of s.) f(t) = e-t cosh(t)

A: NOTE: Refresh your page if you can't see any equations. . take Laplace use the Laplace rule

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A: Please refer to the image below

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

A: NOTE: Refresh your page if you can't see any equations. .

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. Identify an Since lim…

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A: Disclaimer:  “Since you have posted a question with multiple sub-parts, we will solve the first…

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

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A: Ellipsoid : x2a2+y2b2+z2c2=1Volume of ellipse : 4πabc3a+b+c is fixed

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Q: dx √e²x -9 A. 3 sec¹e* +C S B. 1 sec ¹ (= ² + c = c.₁ /sec²¹ e ² + C C. ex 0-¹ (+ ²) + C et с 3 D.…

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Q: What are the values of x where tangent line of graph of f(x)=1/x is parallel to the line y=−5x+4.…

A: Follow the procedure given below.

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A: Topic:- polynomial functions

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Q: what theorem was used? i cant read it.

A: Let's solve.

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A: topic:- vector algebra

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

A: I have stated the used formulas in the solution

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