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Q: Find the first and second derivative of the function G(r) r = G'(r) X X G"(r) =

A: The given function is

Q: Use the limit definition of the derivative of the given function at the given value of x (if it exis...

A: Given functions are

Q: p(t)=(100e^t)/e^t +100 Describe the size of a population at time t Find the inverse function and exp...

A: First switch t and p.

Q: Consider the solid obtained by rotating the region bounded by the given curves about the x-axis. y=9...

A: Given,

Q: Find the volume V of the described solid S. A frustum of a right circular cone with height h, lower ...

A: The volume of the required frustum can be obtained as follows.Draw the frustum as shown below.

Q: please answer question 5 and 6

A: We’ll answer the first question that is question 5 since the exact one wasn’tspecified. Please submi...

Q: Use the definition of continuity, along with the One- sided continuity theorem, to determine whether...

A: We first find left and right hand limit at x=4If left hand limit=f(4)=right hand limit, then the fun...

Q: Solve the equation by factoring. (Hint: First factor out a fractional power. Enter your answers as a...

A: Moving all the terms to one side of the equation.

Q: Let f(x) = (x - 12) / (2x + 6) Find an equation for the tangent line to the graph of f at x = 2 y = ...

A: We find f'(x) first using quotient rule

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