Series
In a geometric sequence, the 6th term is 48, and the common ratio is -2. Find the first term.
-3/2
Who calculated an accurate approximation of pi?
Archimedes
Evaluate d/dx ∫sec(j)dj
0
When a diagonal of a square is 24 cm then find out of its perimeter.
48sqrt(2)
If the sum of the first four terms of a geometric sequence is 4373,and the sum of the first two terms is 437.3, find the first term and the common ratio.
First term: 109.325 or (4374/40)
Common Ratio = 3
Which mathematician is known to have provided novel an rapidly converging series for mathematical constants?
Ramanujan
Integrate sin^3 (4x)
(1/4)(-cos(x) + [cos^3(x)]/3 )+ C
What could be done to quadruple the volume of a right circular cone?
a. Quadrupling the height.
b. Quadrupling the radius.
c. Doubling the radius.
d. Quadrupling the height and doubling the radius.
e. Quadrupling the height or doubling the radius.
E
Find the missing term in the sequence:
4, 8, 21, 59, ?, 314
146
What can be mixed, vulgar and complex?
fractions
Find the inverse of sqrt(x^2 -3x)^4
(3+ sqrt(4sqrt(x)+9))/2
A circle C has equation x2 + y2 – 6x + 8y – 75 = 0.
Write down the coordinates of the Centre of C, and calculate the radius of C.
center = (3,-4), radius = 10