f (x) = 3x^3
Q: Analysis of daily output of a factory shows that, on average, the number of units per hour y produce...
A: Part (a)The critical values will be where dy/dt = 0. Please see the white board.
Q: please explain how to do question 7c
A: The given integral is ∫(1-3x)4dx.
Q: solve 6^(x+3) = 2 for x
A: We take ln on both sides.
Q: Use the Divergence Theorem to compute the net outward flux of the vector field F=<x2 , -y2, z2>...
A: The vector field is given as
Q: A circle has an initial radius of 50 ft. when the radius begins decreasing at the rate of 3 ft/min. ...
A: Area of a circle is given byDifferentiating the function of area with respect to time:
Q: Find the average value of the function over the region R. Please refer to picture.
A: The given function is f(x,y)=e-y in the interval x belongs to [0,8] and y belongs to [0,ln2]
Q: Find the derivative of y with respect to x.
A: Assume z=x^5+1. Then found derivative dy/dx using the chain rule.
Q: y = t(lnt)2 Find the derivative
A: According to the chain rule of derivative,Using the above rule, where u = t and v = ln t
Q: 34. If a, b, andc are all positive constants and y(x) is a solution of the differential equation ay"...
A: Given that the differential equation is