Approximate the area between the graph of f(x)=x^3 and the x-axis on the interval [3,5] by using a left end-point Riemann Sum with n=4

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

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A: Topic:- definite integration

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Q: 16. lim (2 – 3x) = –4 %3D

A: Concept: Epsilon-Delta Definition for Limits: The Epsilon-Delta Definition for Limits, also known as…

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A: Given; I=∫9-x2dx   ...1   Use the trigonometric identity; 1). sin2x+cos2x=1 2). cos2x=2cos2x-1 And…

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A: We can solve this as follows:

Q: If the partial fraction decomposition of 2s2+13s–17 A s+3 Bs+C s2 –2s+4 (s+3)(s² –2s+4) then, the…

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Q: Find the Laplace Transform of the given function using the definition of Laplace Transform a. f(t) =…

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Q: sinh x – 1 dx cosh x

A: The given integral: ∫sinh x-1cosh xdxWe need to find the antiderivatives.

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Q: 1. S Vcos 20 sin 20 d0 x²-x 2. S- dp- (x+1)

A: To  evaluate the integral.

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A: Let's find.

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A: solution:-y=8sinxx∈[0, π]revolution about the x-axissurface area of…

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Q: J.) Frawate 822-27. 922-9 lim Deser mire the domain 6.) F(x) =「メー %3D

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A: The integration of the integral is  ln(x)/[x(ln4x -1)] limit from e2 to e3.

Q: fxx​(x,y), fxy​(x,y), fyx​(x,y), and fyy​(x,y) for the following function.   ​f(x,y)=5x2y2+2x7+3y

A: Partial derivative

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A: We have to find force as per given conditions.

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Q: separable 2

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Q: Consider the curve C on the yz-plane with equation y2- z + 2 = 0 (a) Sketch a portion of the right…

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Q: D) Decreasing on (-00, 0) Determine where the given function is concave up and where it is concave…

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Q: Q/ Find the Surface area generated by revolving y = 1 - 2² around the y-axis, ?0 <x <1 where

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Q: The revenue (in millions of dollars) from a manufacturing process is projected to follow the model R…

A: Profit=Revenue-Cost

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Q: Find the plane determined by the intersecting lines. y = 2 + 2t L1 x= - 1+ 3t Z = 1- 4t L2 x = 1- 4s…

A: This question can be solved using the concept of lines and planes in three dimensional geometry.

Q: Use "w) = d 1 1 to find the derivative of the inverse at the indicated point. dx d 1 Let f(x) = 2x+…

A: Given : f(x) = 2x + ex cos x

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Q: Marty bought 5 pounds of apples for 98 cents a pound. What was the average price per pound that…

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