Algebra
if x+y=10 and x-y=4
what is the product of x and y
21
What quadrant is (1,2) in?
1
what is tan(60 deg)
root 3
second derivative of sin(2x)
-4sin(2x)
125 + 375 + 54 - 43 - 585 + 74
0
complete the square x^2+10x+28
(x+5)^2 +3
what is the y-intercept of 3x-4y=5
-5/4
If a triangle has sides a=10 and b =24, what is the hypotenuse
26
integrate sin x dx from x=0 to pi
2
what is the probability that you roll 4 sixes with 10 dice
1/18
express log3(x) = 10 in exp form
x=3^10
find the circumference of a circle with a radius of 3 miles, in feet (hint: 5280 ft = 1 mile)
approx. 99528
simplify sin(x)cot(x)/cos(x)(sec(x)
cos(x)
Find the solution to this differential equation y' =2x+3sin(3x)
y=x^2-cos(3x)+C
what does the third derivative calculate?
jerk
what is the domain of f(x) = x/(x^2-1)
x is equal to all real numbers except -1 and 1
what are the foci of hyperbola with semiaxes 3,4
(5, 0), (-5, 0)
use the law of sines to find the angle of B if a=6 b=8 and angle A = 40 degrees
59 or 1.03 rad
discontinuities (x^3+8)/(x^3+3x^2-4x-12)
x=-3, -2 and 2
what is the fifth root of 59049
9
expand (x+y+z)^2
x^2+2xy+2xz+y^2+2yz+z^2
what are the vertices of an ellipse with semiaxes 2,5 centered at (3,0)
(3, 5) and (3, -5)
Using the law of cosines find the side c if a=7, b=6 and angle C =83
8
limit (1+1/n)^n as n->infinity
e
what is the probability of getting a full house in poker with a 5-card hand from a 52 card deck? (hint: full house is 3 matching cards of one rank and two matching cards of another rank)
1/694 or .001441