Word Problems
In the picture below, L represents a ladder that is
sliding down a wall. Which of the following is NOT
changing? (A triangle with W height, L ladder length, and D distance)
What is L, the length of the ladder?
The only equation that is not of a line:
a) y=mx+b b) ax+by=c
c) y-y1=m(x-x1) d) +/-sqrt(x)
What is D, +/- sqrt(x)
The derivative of y = 1-x is:
a) -1 b) -lnx
c) 1 d) 0
What is B, -lnx?
A function that is continuous must:
a) Be differentiable b) Have 0 asymptotes
c) Have no cusps d) Have existing limits at all x-values in its domain
What is D?
The variable most associated with slope is:
a) m b) Delta
c) dy d) Beta
What is M?
The side of a square is increasing at the rate of 2m/sec. The rate of change of the area when the diagonal is 2sqrt(2) is:
What is 4 m/s?
The PoIs are quadratic function can have is:
a) 2 b) 1
c) None d) Infinite
What is B, 1?
The improper notation for a derivative is:
a) DxY b) dy/dx
c) f(x') d) y'
What is f(x')?
The slopes of 2 lines which are not normal are:
a) 0 and infinity b) 4 and 1/4
c) 1 and -1 d) .2 and -5
What is B, 4 and 1/4?
The variable most associated with a sum is:
a) Theta b) Sqrt
c) Sigma d) Union
What is C, Sigma?
The amount of hair an hour that Newton the Cat sheds is given by the function h(t) = 5t2-2t+e2. At t = 5 hours, Newton is shedding at ___ rate:
What is 48 hairs per hour?
The function that does not have a period equal to pi is:
a) |sinx| b) sin2x
c) tanx d) sin(1/2x)
What is B, sin2x?
dy/dx of sec2x:
What is 2sec2xtanx?
a) sqrt(x-1) b) ln(x-1)
c) cot(x-1) d) ex-1
What is sqrt(x-1)?
Most important Calculus theorems were found in the:
a) 16th century b) 17th century
c) 18th century d) 19th century
What is B, the 17th century?
If f(x) represents the force required to move an object along a straight line, then the amount of work needed to move an object from x=b to x=a is:
What is the integral of -f(x) from a to b?
A polynomial of degree n can have a maximum of ___ critical points:
a) n b) n + 1
c) n - 1 d) Infinite
What is c, n-1?
The best way to describe the derivative of y = |x| is:
What are two normal lines?
The function y = 1 + sinx is even/odd/neither?
What is neither?
Logs were first used by:
The area of a circle is changing at the rate of pi ft2/sec, so the radius is changing by ___ ft/sec when the radius is 1 foot?
What is 2pi?
The x coordinate of the hole in (x2-25)/(x-5) is:
What is 5?
The 3491th derivative of cos(x) is:
What is sin(x)?
What is always concave down?
A way to measure the change in slope is:
What is Concavity?