S= 4 dx 2 3 X³_4x² +8x 니

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Q: 1. Find for each of the following: dx d) y = e +x* +e° g) y =x2r-5 h) y = log3

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Q: 8. If y = (x³ + 2x²)e2* determine an expansion for y(5). [y(5) = e2*2*(2x³ + 19x² + 50x + 35)]

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A: We know that  f-1'(a) = 1f'f-1(a)

Q: TQ two values of x such that 2x 1. 12x x+41 .a x-1/3 ,x=1 .b x=2, x=-2 .c x-3, x=-3 .d X=-1, x=1

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Q: Evaluate: lim (1+sin 4x)cot ¤ x→0+

A: Topic:- limit calculus

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Q: I > | − 4 • xª + 5ª

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

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A: As per guidelines we can answer only one question at a time, so if you need more answer kindly…

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A: Reimann sum:Take the left point of sub-interval:∫16f(x) dx =∑i=1N f(xi*) ∆x∆x=1∫16f(x)…

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A: Please refer to the image below

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A: Follow the procedure given below.

Q: Find the length of the arc formed by ² = 10y³ from point A to point B, where A = (0,0) and B = (100,…

A: We can find the length of arc by applying length of arc formula.

Q: H Let f(x) = 0 if x=2 x² −1 if x > 2 Determine the two-sided limit lim fƒ(x). x-2

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Q: A region is bounded in the first quadrant by the graphs of x=y2+2, x=8-y, and the x-axis. Find the…

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Q: 1. Find -for each of the following: dx e) y =x* Inx f) In(x + y) = e*=y g) y = x2r-5

A: Here we have to find dy/dx .

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A: In this question, we want to find the maclaurin polynomial of the given function when n=5.

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Q: Are the Following Vectors Linearly Dependent or Independent? 1) (3,4), (4,3) Ans. Independent

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Q: Find the area bounded 1. 2x2 + 4x + y = 0,y = 2x

A: Sketch the region