Identify the most appropriate differentiation rules to be used in finding the derivative of the following functions. f(x) = (x2 + x)/(x- 1) O a. Constant Rule b. Chain Rule c. Product Rule O d. Quotient Rule

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Q: 1. Given the function f(x, y) = x² /ÿ. (a) Find the local linear approximation of f at the point (3,...

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Q: If s(t) = 10t – 15t2 – 60t + 5, represent the position of a particle traveling along a horizontal li...

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A: Given: - The sequence is, 7+5+3+......+(-263)=∑k=1119(3k+1)= To compute: - The sums below. (Assume t...

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Q: Find the derivatives of the functions in Exercises 17–40. 2 – 1 2 + t – 2 20. f(t)

A: Given:- f(t) =(t2 -1)/(t2+t-2) To find:- Derivative of given function f(t) 

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Q: 4. Complete each statement: a) The points of inflection are found by solving the to zero. equal b) T...

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Q: If s(t) = 10t3 – 15t2 – 60t + 6, represent the position of a particle traveling along a horizontal l...

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Q: Example 6 If ð = (3, 2), b =(5, –1), ĉ = (-4, 2) find (a) 2a + b – 3c (b) 3a + 26 – 7.

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Q: 2. Determine the slope of the tangent for the following function: 3x f(x) at x = 4 2 x-4x+3

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A: ∫12x2-3x+2dxComplete the square:∫12x-323/22+78dxSubstitute u=4x-37→dudx=47→dx=74du

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Q: Question Prove that if AUB= A is true, then An B = B is also true, AND CONVERSELY. ||

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Q: 6.(Straightforward) Solve the separable ODES: (a) dy/dx = sin 2x. (b) dx + e* dy = 0. (c) xdy/dx = y...

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