Calculus
Trivia
Series
Geometry
100
What is the difference between dx and Δx?
Δx is arbitrary change. dx is an infinitesimally small change
100
Which mathematician is known to have developed calculus independently of Isaac Newton?
Gottfried Wilhelm Leibniz
100
If the sum of an arithmetic series is 550, the first term is 20, and the common difference is 6, find the number of terms.
11
100
If 𝐴(1, −1) is the midpoint of 𝐵𝐶 with 𝐵 (7, 2) , what are the coordinates of the midpoint of 𝐴𝐶?
(-2,-2.5)
200
Derive the formula of volume of a cone from calculus.
integrate from 0 to h pi*R^2 dx.
where R = (r/h)x
200
What did the inventor of logarithm 50 also invent that was an manual calculation aid?
Napier Bones
200
Find the sum of the first 50 terms of an arithmetic series where the first term is 8, and the common difference alternates between -3 and 5.
1525
200
A circle C with center at the point (2, −1) passes through the point A at (4, −5).
Find the equation of the circle C. Also find the equation of the tangent to the circle C at the point A, giving your answer in the form ax + by + c = 0, where a, b and c are integers.
(x-2)^2 + (y+1)^2 = 20,
x-2y-14=0
300
Integrate x^dx -1
xln(x)-x +c
300
What type and how many triangles does an icosahedron contain?
20 and equilateral
300
S = sqrt( 2 + sqrt( 2 + sqrt( 2 + sqrt(2 + ....
Find the value of S.
2
300
In the given figure AB, BC and CA is a tangent of a circle if BC=6.3 cm and MC=2.7 cm then the Value of BL is ?
3.6