Suppose s(t) = 12t2t² on the interval [ What is the distance traveled on [1, 5]? Ο Ο 08 O 10 O 16

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A: This question can be solved using the concept of expansion of Taylor series centered at x=c.

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A: Solution

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Q: 3. ) Consider the function f(x, y) = 2r+y²-2²-2y. The critical points of f are (-1), (0, 1) and…

A: In this question, we need to classify each critical points using second derivative test.

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Q: C-the derivative is y = 0³ e 28 cos 50

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A: Given

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Q: R = {1,2,3,4,5,6} and S = {2,4,6} is set S a subset of set R?

A: R = {1,2,3,4,5,6} and S = {2,4,6} is set S a subset of set R?

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Q: - for the function below, the domain and the range is respectively y=√√16-x²

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Q: Solve the differential equation: dy y+ = dx

A: Given query is to find the solution of the differential equation.

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Q: Find the area between two curves: 1. Determine the area below f(x) = 8x - 2x2 and above the x-axis.

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Q: Verify that the indicated function y = p(x) is an explicit solution of the given first-order…

A: This question can be solved using the concept of derivatives.

Q: - for the function below, the domain and the range is respectively y = x²/5

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Q: (A) Find the slope of the line that passes through the given points. (B) Find the point-slope form…

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A: slope =m=-4y-intercept =3

Q: (x+h)³-x³ h C. lim- h-0

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Q: dy dx || x3 2+y²

A: Given differential equation, dy/dx= x³/(2+y²) So, (2+y²)dy=x³dx

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Q: for the function below, the domain and the range is respectively y = x²/5

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Q: Q5 Find the limit or show that it does not exist. 9. lim 6t+t-5 --8 9-2² h. lim (ex + 2cos3x) sin²x…

A: Please follow the next step.

Q: . Use the definition of error function, prove that [²' ( ²² ) = √T z

A: On solving this we will get

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A: In this question we have to find the differentiation.

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Q: Solve the given differential equation by finding, as in Example 4 from Section 2.4, an appropriate…

A: Here we need to solve the given differential equation.

Q: Evaluate the following - ² (x − 1)(x − 2)(x-3) integral

A: Given problem:-

Q: domain and the range is respectively y=√16-x²

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Q: 1. Evaluate √2 √4x² dx using a trigonometric substitution.

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Q: I need the third derivative for all of the following functions f(x)= 1 + X f(x)= f(x)= 1-X -1

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Q: Q4) A) Determine the following 1)√√²/1dx 1)ƒ cosxdx 2) S dx 2+3sinx

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Q: Evaluate the following integral − (x - 1)(x-2)(x − 3) -

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Q: Use Newton's method to approximate a root of the equation cos(x² + 4) = x³ as follows. Let 1 = 2 be…

A: See the details solution in below

Q: 4- compute dw dw дх' ду at the point (-2,3) if w = (2x + 3y - 1) ²

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Q: Evaluate the following dx (x - 1)(x-2)(x-3) integral s

A: We need to evaluate integral.