Algebra
Find the slope of the line passing through the points (-1, -1) and (2, 2).
m = -1
What is the geometric mean of 4 and 25
10
Simplify the expression
x2/x
x
∫ x2 dx
1/3 x^3
The sum of an integer N and its reciprocal is equal to 78/15. What is the value of N?
N = 5
What is the Geometric Mean of 1, 3, 9, 27, and 81?
a. 9 b. 1,800 c. 11 d. 19
a. 9
Find the domain and range for f(x) = √(9-x2 ).
Domain: [-3, 3]
Range: [0,3]
Find the average value of the function on the given interval.
f(x) = 6x - x^2, [0,3].
6
If x <2, simplify |x - 2| - 4|-6|
- x - 22
AOBC is a rectangle whose three vertices are vertices A(0, 3), O(0, 0), and B(5, 0). The length of its diagonal is
a. 2 b. 5 c. √3 d. √34
√34
sin(11/6) = ?
-1/2
Find an equation of the curve that passes through the point (0, 1) and whose slope at (x, y) is xy.
y = e(x^2)/2
m and n are integers so that 4m / 125 = 5n / 64. Find values for m and n.
m = - 3, n = - 3
The area of the triangle ABC with the vertices A(-5, 7), B(-4, -5) and C(4, 5) is
53
Simplify the expression ln[(x+5)5 √(2x-7)]
3ln(x+5) + 1/2 ln(2x-7)
If the birth rate of a population is b(t) = 2200e0.024t and the death rate of a population is d(t) = 1460e0.018t people per year, what is the area between these curves for 0 ≤ t ≤ 10.
8868 people