If h(2) = 3 and h'(2) = −8, find. d/dx(h(x)/x) x=2

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Q: Let f(x) = {ax² (2x + b differentiable (a) 1 at x = 1. x ≤ 1 x>1 (b)-1 . Find a so that f is (c) 2…

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Q: 1. A balloon is released from the ground 30 feet from an observer. The balloon rises directly upward…

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Q: Find the intersection of the line / and the plane T. 1:ř=(4,-1,4)+t(5,-2,3) T: 2x+5y+z+2=0

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Q: DERIVATIVE AS VELOCITY AND ACCELERATION Solve for the unknown/s 3. A particle moves horizontally…

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Q: 5. Rewrite the expression as an algebraic expression in x X ~(-)). H=3 |x|≤3 (a) cos sin

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Q: Problem 8. (a) [ eª sin (x) (b) / (20 √(x+3 (c) [* (In (x))² dx (x+3) ln (x) dx Calculate each of…

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Q: 3. xlny + ylnx = 1 a. y y || x Y + Y x² lnx-y y² ln y - x b. x # ( xlny+y y ylnx+x y = y ln x - x ln…

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Q: List the first five terms of the sequence. a₁ a2 a3 2 a4 a5 = || || || || = = = = a₁ = 12, an +1= n

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Q: Question 21 If f and g are inverses of each other, which of the following statement/s is/are…

A: Topic = Functions Correct option = D

Q: (5) A student used "U-substitution" 3 integral: S x² √√9- x² dx By using the following steps: Let U…

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A: V = ∫πy2dx here y = 12-x limit from -4 to 12

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Q: Let R be the region bounded by the following curves. Use the shell method to find the volume of the…

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Q: Check here for instructional material to complete this problem. Find the slope of the line shown on…

A: The graph of the line is  To evaluate: The value of the slope of the line.

Q: 7 Calculate (4x + x²) dx, given the following. 40 [(42+x²) 2 √x²dx 2 335 3 8 |-- dx = 7 S(4x + x²)…

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Q: Solve the differential equation by appropriate Substitution dy ах x + 3y 3x+y __(a) 2 2 b) x dy = y…

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Q: B ||

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Q: 11. Copy each equation. Replace each a.) 6 - _ = -10 e.) -3 = -10 - b.)-4-- = -5 f.) _ - (-7) = -4…

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Q: 6) Draw the graph of a function f such that f (2) = 3, f (4) = 7, the function is decreasing on the…

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Q: Determine the parametric equations of the plane containing points P(2, -3, 4) and the y-axis.

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Q: f(x) = b-2x 6 x-b if x < -1 if x ≥ -1. Find the two values of b for which f is a continuous function…

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