2. A block of taleano gold was dropped from the rooftop of the Main Library. Its distance (in meters) from the ground after t seconds is given by s(t) = 200 – 5t². a. Find and interpret s'(1). b. How fast was the taleano gold falling when it hit the ground? c. When was the taleano gold at constant velocity?

Q: Find the inverse o a. f(x)=2x²-4

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A: Topic = Derivative

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Q: 1. The graph below shows the function f(x) = 3(2)*. a. Where is f(x) increasing? Explain. b.…

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A: Given query is to find the time when concentration is maximum.

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Q: finr the exact solution 2*In(4x)=30

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Q: Let f(x) ƒ'(0) = 5e +2 +e-¹.

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Q: Find all the first and second order partial derivatives of f(x, y) = -7 sin(2x + y) + 5 cos(x - y).…

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Q: Determine the type of DE (select all that applies): (2y3x3) dx + 3xy2dy=0 Exact Linear None of these…

A: DE

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Q: Find all the first and second order partial derivatives of f(x, y) = -7 sin(2x+y)+5 cos(x - y). af…

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A: We need to find temperature and points.

Q: Find dy/dx.  y=7x

A: Use the basic result of differentiation.

Q: Find the Arc Length. y = MIN 3 2 X 3 +4 [1,27]

A: arc length of the curve y=32x23+4,  for 1≤ x≤27

Q: d the distance between each pair of parallel line 1210. 2 m b=\ LM = 1 line: +1 y = 2x + 1 y = 2x -…

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Q: Find the equation of the tangent line to the graph of the function f(x) = 2+1 2 the point (0₁-1).

A:

Q: The following differential equation is exact if m=0 dy_ mx²y+5x dx 8y Select one: True O False

A: dydx=mx2y+5x8y

Q: Find the point on the curve y = √x  that is closest to the point (2, 0).

A: Topic = Functions

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Q: Question Find the radius of convergence of the Maclaurin series for the function below. tan =…

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Q: 4 Evaluate the integral. [*¹²5√1-cos40 de

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Q: The sum of two positive numbers is 30. What is the smallest possible value of the sum of their…

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Q: Evaluate the following expressions. Your answer must be an angle -T/2 ≤0 ≤ in radians, written as a…

A: Evaluate the following expression  sin-1(sin(-7π4) sin-1(sin(7π6)cos-1(cos(5π4) cos-1(cos(5π3) And…

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Q: Evaluate y sin(xy) dA, where R = [1, 2] × [0, π]. R

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Q: If √√√x + √√y: = 6 and y(25) = 1, find y' (25) by implicit differentiation.

A: If x+y=6 and y25=1, then to find y'25 by implicit differentiation.

Q: Find the inverse Laplace transform f(t) of the F(s) = ln ( ² s² +81 s² + 16 function F(s) In f(t) =…

A: To find inverse Laplace transform.

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Q: Find d2y/dx2. y=5x3/3   -2x

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Q: f(x) = −x2 + 2x + 3 on [3, 6] maximum_______ minimum_______

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Q: 60. Total cost from marginal cost. Solid Rock Industries determines that the marginal cost, C'(x),…

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