The equation that describes the volume of the conical shape RELATES the quantities : volume, radius and height: V = ²h Take the derivative of both sides to obtain THE EQUATION that RELATES THE RATES (thus related rates). Hint: V=V(t), r=r(t), h=h(t), so product rule will be involved on the right side. t-time, as times passes by the volume, radius and height change.

Q: y=2(squareroot)x X sin(squareroot)x Find the Derivative

A: Given,           y=2xsinx

Q: # Find the derivative of frz)- (2-2)"

A: Given function is fz=z-25z2+iz+12

Q: 2. A manufacturer wants to design an open box having a square base and a surface area of 104 square…

A:

Q: Fill in the chart below to find the derivative for f(x) = x3/3. Show your work. Do at least one…

A: The given function is

Q: Let f(x) = x+0. Complete the equation below for the line L tangent to the graph of fat x = -6. x-1…

A:

Q: Find the rate of change of the distance D from the origin of a point moving on the graph of f(x) =…

A:

Q: Instruction: Find the derivative using the increment method. 1. y= x? - 2x Increment Method in…

A:

Q: Estimate the slope of the tangent line of the function y(x) = 24 at x = 1. 2+x (Use decimal…

A:

Q: A circular puddle is growing as syrup is poured onto the center of a large pancake. The height of…

A: Given that:Volume=V=314.159Height=h=4 Rate of change of volume=dVdt=20 The question is asking for…

Q: 5-As a snowball melts, it's volume decreases. The volume in cubic centimeters is given by the…

A: Let the volume of snow ball=V Let the radius of snow ball=r cm

Q: As depicted above, oil is leaking out of the cone into a cylinder (storage container) whose circular…

A: Given,

Q: Estimate f(5.03) for f as in the figure. y=f(x) (10, 4) Tangent line (4, 2) (Give your answer to…

A: