1. Use finite approximations to estimate the area under the graph of the function f (x) = x³ between x = 0 and x = 1 using a. a lower sum with four rectangles of equal width. b. an upper sum with four rectangles of equal width.

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A: The given limit,      limx→0tan xsin 2x

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A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost oth...

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Q: хах 3. S cos (2-3x2)

A: To evaluate the integral ∫x dxcos2-3x2.  

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Q: Determine the Riemann sum that represents the illustration below. The function is lx) = 2x. Y 6. 4- ...

A: Explanation of the answer is as follows

Q: Solve X1- 19 -4 11 -8 X1 -5 3 15 15 14 X2 10 19 -9 6 9 -9 X3 -10 18 -3 17 8 X4 18 20 6 15 X5 14 9,

A: Solution: Reduce matrix to row echelon form  19-411-802-531515141019-969-9-1018-3317818209661514

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A: Given integral ∫0∞1(2x+1)4 dx

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A: The objective is to find the twice amount of 375.00 dollars .

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A: As per the company guidelines we can solve first question. I hope that the given solution will help ...

Q: DO NOT include spaces in between characters. Type your answers in the following order and format: a=...

A: Given query is to find the value of a and b.

Q: integral of:

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A: Topic:- sequence and series

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A: Given that, There are two integral given, a). ∫23(2x+3)(x-5)dx b). ∫121x3(x3-2x2+1)dx We have to fin...

Q: 4. f Inv9 - x2 dx - integration by parts

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A: The given integral,∫x sin-1x dx1-x2

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A: We will solve the problem using partial fraction. 

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Q: Find the area of the region bounded by y = -x² – 6x – 3, y= -x2 – 8x – 13, x = -5, x = -2.

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Q: lim In (xth)-Incn) X-DO

A: Topic = Limits

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Q: 3. Find the equation of the tangent line at point P(2,1) to the graph of the curve f(x) = v3x – 5

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Q: Evaluate: / cot-12 e Sa dß. ß cot-12B – In|1+482| + C A B cot-128+ -In| 1+482| + C 8 ß cot-12B+ In|1...

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Q: Use the First Derivative Test to find the local maximum and minimum values of the function. (Enter y...

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Q: Which integral would represent the area shown below? The function is f(x) = -x³ + 3. %3D 3 2- 1- 0.5...

A: Given query is to find the area of the shaded region.

Q: dy e. dr + 4y = x² dy = sin(x + y) dx f.

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