A frustum shaped bucket is shown as in the reference image. The top radius is 2 ft, the bottom radius is 1 ft, and the height is 2 ft. Water is injected into the bucket at a rate of 1 cubic foot per minute. Answer the following with your answers rounded to 2 decimal places. (1) What is the water level / when the time t = 2 minutes? (2) How fast is the water level rising when the time ✓ = 2 minutes? You are permitted to use the volume formula for a frustum of cone which can be found on the internet, but such formula is not necessary. h' when t = 2 h when 1 = 2 Choose... Choose...

Q: If z = (x + y)e", x = 4t, y = 5-t², find dz/dt using the chain rule. Assume the variables are…

A: Note:- Since you asked multiple questions ,according to our policy we can solve only first question…

Q: A sample of gas is heated with 15.4 kJ of energy while simultaneously expanding to 28.3 L from 2.3 L…

A: We know formula for work done -  w = -p∆v

Q: 3. A rectangular box has sides a, b, and c that all change in time. At a certain time to the…

A: In this question we will use basic of application of derivative.  First we will find diameter of box…

Q: Show the solution and draw the figure. The height and base radius of a right circular cylinder are…

A: Topic:- application of derivatives

Q: Homework: 1. When a circular plate of metal is heated in an oven its radius increases at a rate of…

A: Given that The rate of increase of radius is 0.01 cm/min Radius is 50 cm To find The rate in the…

Q: Give your answer accurate to 3 decimal places. The area of an equilateral triangle is decreasing at…

A:

Q: A rock is thrown into a still pond. The circular ripples move outward from the point of impact of…

A: For the circle, let r� be its radius. Then, its area is given by: A=πr2.�=��2. Differentiating this…

Q: Please answer

A: Given:-