A water trough is 11 feet long, and its cross section is an equilateral triangle with sides 3 feet long. Water is pumped into the trough at a rate of 10 cubic feet per second. How fast is the water level rising when the depth of the water is 1/2 foot?
( Hint: First, what is the height h of an equilateral triangle of side length s? Next, what is the area of an equilateral triangle in terms of the side length s? Then write the area in terms of h. The volume of the water in the trough at time t is the product of the cross-sectional area with water and the length of the trough. )
a) What is the height h of an equilateral triangle of side length s?
h = ? in ft cm meters in/sec ft/sec cm/sec m/sec
b) The water level is rising at a rate of______
(a) Height of side of equilateral tri...
Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*See Solution
Q: Find an equation of the tangent line to the curve at the given point y= xe^-x^2 , (0,0)
Q: Find y`= if y`2x^5-9x^4+3/x^2
A: The given function is
A: Refer to the questions, we have to find the rate of change the area of rectangle whose length is 6t+...
Q: See attached
A: We will solve the given equation using the log function.Recall the basic equation of logarithm shown...
Q: Problem 1 Parts B, C, and D
A: a.Use the online graphing calculator to draw the graph of the functions as shown below in Figure 1.
Q: Please see the attached problem. Thanks!
A: To determine the volume of shell.
Q: See attachment
A: The interest rate in which the amount $1500 is invested is 6% per year and it is compounded continuo...
Q: Can you help me step by step with this problem?
A: Let's assume u = 3 + xsecxPlease note that the second term is made up of two functions of x and they...
Q: See attachment
A: If in the function of a graph, f(-x) = f(x) then the graph is symmetric about y axis.If in the funct...