Search & Filtering
Find the area of region bounded by the lines y=x,y=3x,x+y=4 using double integral.
"-23 is a Real, Rational and integer number" Interpret the reason
For which values of a and b is the line b 2x + y = tangent to the parabola 2
y = ax
when x = 2?
The base diameter and altitude of a right circular cone are observed at a certain instant to be 10 and 20 inches, respectively. If the lateral area is constant and the base diameter is increasing at a rate of 1 inch per minute, find the rate at which the altitude is decreasing.
The base of an isosceles triangle 10 feet long and the base angles are decreasing at a rate of 2 degress per second. Find the rate of change of the area when the base angles are 45 degrees?
A particle travels along the parabola y=ax²+x+b. At what point do its abscissa and ordinate change at the same rate?
f:x → f(x) = x sqrt(1 + x) and g:x → g(x) = x(coshx)^(1/x). Hence show that
Lim as x→0 [ (4(x*sqrt(1+x) - x*(coshx)^(1/x)) / (e^x - 1)^3 ] = -1 with x ≠ 0.
We define the sequence (Wn) by for every n E N, (Wn) = Un / Vn.
(i) Calculate Wo and show that Wn is an arithmetic sequence and precise its common difference.
(ii) Express Wn in terms of n and calculate its limit.
(i) Calculate Vo.
(ii) Show that (Vn) is a geometric sequence and precise its common ratio.
(iii) Express Vn in terms of n and calculate its limit.
#340153 on Dec 2023