Math 1
Find the equation of the line that contains the points, (6,3) and (-2,1)
y=0.25x+1.5
What is the square root of -25
5i
Divide the polynomials
x2+10x+25 / x+4
x + 6 + 1/x+4
Divide the following complex numbers
-23+11i/5+i
-4+3i
Let y=-3/5x+4. Determine the value of its derivative, dy/dx.
-3/5
Does the function model exponential growth or decay?
f(x) = 3(7/4)x
Exponential growth
Solve for all possible x
2x2-16x+14
x=1
x=7
Solve for x
-10/2x+8=10
x=-9/2
f(x)=3x-1
g(x)=x3+2
Evaluate g(f(1))
10
The radius of the base of a cone is increasing at a rate of 10 meters per second.
The height of the cone is fixed at 6 meters.
At a certain instant, the radius is 1 meter.
What is the rate of change of the volume of the cone at that instant (in cubic meters per second)?
40pi
What is the distance between (-3,-8) and (5,-2)
10
Simplify
-274/3
-81
Evaluate the logarithm
log7(343)
3
How many unique ways are there to arrange three letters from the word TIGER
60
If the following infinite geometric series converges, find its sum.
1+3/4+(3/4)2+(3/4)3...
4
Solve the following system of equations
2x+3y=6
y=x-1
(1.8,0.8)
Expand
(x+2)3
x3+6x2+12x+8
What is the inverse of y=6x+2
y=x-2/6
Timmy's burrito stand lets customers choose 4 ingredients from the list below to add their burritos:
Onions, Cilantro, Jalapeno, Beans, Cheese, Crema, Salsa, and Hot Sauce.
How many groups of 4 different ingredients can go on a burrito?
70
Find limit of 4x2-3x/x3 as x approaches infinity
0
What do the following two equations represent
y=4/3x+5/3
y-8=4/3(x+6)
Choose one answer
A. The same line
B. Distinct parallel lines
C. Perpendicular lines
D. Intersecting, but not perpendicular lines
Choice B
Solve for all possible x
x2-4x+5
x=2+i
x=2-i
Add all numbers from 1 to 100
5050
Find cos(165 degrees) exactly using an angle addition or subtraction formula
-sqr(2) - -sqr(6)/4
Let g be a vector-valued function defined by
g(t)= (sin(pi t), -2cos(pi t)).
Find g'(t)
(pi cos(pi t), 2pi sin(pi t))