Provide an appropriate response.Explain the idea of a related rate.
A. A function y = f(t) is a function of t, but y can generally be related to x if x is also a function of t; that is, dy/dt ? dx/dt.
B. A function y = f(x) is a function of x, but if x can be expressed as a function of some other variable, such as time, t, then y is also a function of t, and the dependence of y on t is related to the dependence of x on t, which means, in turn, that the rate of change of y, dy/dt, is related to the rate of change of x, dx/dt, by the relation 
= 
? 
.
C. A function x = f(t) is a function of t, but x can generally be related to y if y is also a function of t; that is, dx/dt ? dx/dy.
D. A function y = f(x) is a function of x, but if x can be expressed as a function of some other variable, such as time, t, then y is also a function of t, and the dependence of y on t is related to the dependence of x on t, which means, in turn, that the rate of change of y, dy/dt, is related to the rate of change of x, dx/dt, by the relation 
= 
? 
.
Answer: D
You might also like to view...
Use the given feasible region determined by the constraint inequalities to find the minimum possible value of the objective function.f = 3x + 11y subject to the constraints 
A. 198 B. 0 C. 108 D. 323
Factor completely.150x2 - 294y2
A. 6(5x - 7y)2 B. (30x + 42y)(5x - 7y) C. 6(5x + 7y)(5x - 7y) D. (5x + 7y)(30x - 42y)
Find the slope of the line containing the given points. Simplify if possible.(-8, 8) and (-8, 9)
A. 1 B. 0 C. - 1 D. undefined
Write the logarithmic equation in exponential form.ln e8 = 8
A. e8 = 8 B. ln 8 = 8 C. e8 = e8 D. ln e8 = e8