A function is given by f(t) = sin^{2}t + cos 2t. Which of the following is true?
Following are the values of a function y(x) : y(1) = 5, y(0), y(1) as per Newton’s central difference scheme is:
the squeeze theorem for this. Recall that sinx is only defined on −1≤sinx≤1. Therefore
The function f(x) = x+1 on the interval [2, 0]
f(x ) = x+ 1
f is continuous in [−2, 0]
but not differentiable at
x =−1 because we can draw
infinite number of tangents at x = −1
If y=x for x<0 and y=x for x ≥ 0, then
What is the derivative of f(x) = x at x = 0?
f( x ) = x .
At x = 0, we can draw infinitely many tangents at x=0.So limit does not exists.
= 1.0= 1
The function Y= 23x 
The function f(x) = x3  6x2 + 9x + 25 has
The value of the integral is
The following plot shows a function y which varies linearly with x. The value of the integral I =
Here the points (0,1) and (1,0) are on the time
∴The equn of the line is
The value of the integral
The length of the curve between x = 0 and x = 1 is
Length of the wire
A continuoustime system is described by y (t) = e ^{− x (t)} where y (t) is the output and x (t) is the input. y(t) is bounded.
Since
The value of the quantity P, where
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