Math 3
If f(x) = k(x-2)², where k is positive, what is the effect on the graph of f(x) as k increases?
A. The graph of f(x) is shifted up.
B. The graph of f(x) is shifted down.
C. The graph of f(x) is stretched vertically.
C. The graph of f(x) is stretched vertically.
Evaluate 16(3/4)
8
What is the derivative of y=2x3+6?
Dy/dx=6x2
SAS, AAS, SSS, HL
How many degrees are in a straight line?
180 degrees
A polynomial, p(x), has a lead coefficient of 1 and exactly three distinct zeros.
- x=-1 is a zero of multiplicity of two
- x=2 is a zero of multiplicity one
- x=4 is a zero multiplicity of one
What choice shows p(x)?
A. p(x) = x⁴ - 5x³ + 2x² + 8
B. p(x) = x³ - 5x² + 2x + 8
C. p(x) = x4 - 4x3 - 3x2 + 10x+8
C. p(x) = x4 - 4x3 - 3x2 + 10x+8
What is the value of log4(1/64)?
-3
integral(xcos(x))dx = ?
xsin(x) + cos(x) + C
If f(x)=x2+15 what is the point that makes up the vertex of the parabola?
(0,15)
What is the only even prime number?
2
Martha can paint a room in 2 hours. Jamie can paint the same room in 6 hours. How long, to the nearest tenth of an hour, will it take them to paint the room together?
1.5 hours
In which quadrant is 2.9pi?
Quadrant 2
If acceleration of a particle is represented by the equation a(t) = 6x, what is the velocity of the particle at t=3
v(3)=27
What is the sum of the interior angles of a Pentagon?
540
What is a polygon with ten sides called?
Decagon
What is the remainder when x³ - 1 is divided by (x + 2)?
-9
Solve the following
3x+4=15
x=log311
If lim(b->infinity) of the integral from 1 to b of 1/(x^p)dx is finite, then what must be true about the sum of all values from n=1 to infinity of 1/(n^p)?
The summation converges
A car is moving at 50 miles per hour west. Someone is running east at 10 miles per hour. They are 300 miles apart. After how many hours will they intersect?
5 hours
What number is represented by the Roman numeral "M"?
1000
Two piecewise functions are shown below.
h(x) = {x³ for x < 2
4x + 1 for x ≥ 2}
g(x) = {4x + 1 for x < 3
x² + 2 for x ≥ 3}
What is the value of 3h(2) + 4g(1)?
A.47
B. 28
C. 10
D. -6
A. 47
Find the range of f(x)=1/3cos-1(x)
[0,pi/3]
If f is a vector-valued function defined by f(t) = (e^(-t), cos(t)), then f"(t) = ?
f"(t) = (e^(-t), -cos(t))
What is the 8th digit of pi?
6
What famous English mathematician is credited with the invention of calculus?
Sir Isaac Newton