27. f"(1) = 12 + sin 1 28. f"(t) 29. f'(x) = 1 + 3x, f(4) = 25 30. f'(x) = 5x- 3x? + 4, f(-1) = 2 %3D 31. f'(x) = Vx (6 + 5x), f(1) = 10 |

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A: Explanation of the answer is as follows

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A: Given problem:-

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A: Explanation of the answer is as follows

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A: We have to find the parametrization of the cylinder.

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A: given

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A: To find the function f(t) following the given conditions.

Q: • F(x)=x2 -7x+20, g(x)= 2x+6.

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

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A:

Q: QUESTION 10 Let D (x) = - 5x +7 and S(x) = 3x+ 1. Find the equilibrium point. 3.25 (-5, 32) (3, -8)…

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Q: Solve for X in the equation, where -4 -3 A = and B = 5 3 -3 -2 -5 ABHTOMA RD 2X + ЗА 3 В

A: The given matrix,A=-4-3203-3 and B=0250-2-5

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A: Note - As per our guidelines if multiple questions are posted then we have to answer only the first…

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A: In the given question we have to find a suitable trigonometric identity to substitute in place of x…

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A: To evaluate the given integral.

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Q: Please

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Q: Q2 Obtain the general solution for the following differential equation. (b) y" – 4y' + 3y = 3e2x +…

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A: Use partial derivative to find the value .

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A: Using l hospital rule.

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A: Given

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A: We can solve this as follows:

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Q: Find the exact arc length of the curve over the stated interval. y = 3r/2 – 4, from a = 0 to a = 1…

A: This question can be solved using the formula of arc length.

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Q: Derivalive: f) JFonx-4 2.gm)- (Jx+ 37 Ax+1

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Q: 1. Find the area bounded by the graphs of y = 6 + x, y = x', and y breaking the region into two…

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