9. Which phrase best describes a function which has the following table when it's graphed. |-2 -1 -1 -1 ERROR 1 1 2 1 The function is continuous The function has a removable discontinuity O The function has an infinite discontinuity O The function has a jump discontinuity

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A: Use the formula for the Laplace Transform for the given function.

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A: Explanation of the answer is as follows

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Q: (4) Draw y=2

A: Solving

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A: The solution is given below

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A: To evaluate the given integral by using integration by parts.∫-11t3t2+4 dt

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A: We have to substitute in the slope formula.

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A: The line is tangent to the given function then , there are two conditions :(1)  The function and the…

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A:

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A: ∑n=0∞ 3x-42nThe series can be written as;=3+3x-42+3x-422+...…

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A: We will use trigonometric substitution.

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A: According to graph we see that  simpson's 1/3 rule is best method for accurate result .

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A: Tangent line to graph g(x) at a point (4,2)⇒(4,2) is point on g(x)g(4)=2

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Q: Determine the convergence or divergence of the series. (If you need to use o or -00, enter INFINITY…

A: Given: Now,             limn→∞ 8n-13n+1=limn→∞ 8-1n3+1n=limn→∞ 8-1nlimn→∞ 3+1n=83 So, the series is…

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A: We can solve as follows

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A: Explanation of the answer is as follows

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A: The given equation is: rcosθ-π3=3

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A: Given problem:- Evaluate ∫ xdx/square root(x2 -8x)

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A: To solve the following problem

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Q: i) The area of the surface obtained by the rotating the curve y=V 36-x, -3<x<3 about the x- | axis…

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