\(\lim_{{x \to 0}} \limits\) \(\frac{cos(sin x) - cos x }{x^4}\) is equal to :
If m is the slope of a common tangent to the curves\(\frac{x²}{16} + \frac{y²} {9} = 1\)and x2 + y2 = 12, then 12m2 is equal to:
If y = y(x) is the solution of the differential equation
\(2x^2\frac{dy}{dx}-2xy+3y^2=0\) such that \(y(e)=\frac{e}{3},\)
then y(1) is equal to
LetA=\(\begin{bmatrix} 2 & -1 \\ 0 & 2 \end{bmatrix}\)If B = I – 5C1(adjA) + 5C2(adjA)2 – …. – 5C5(adjA)5, then the sum of all elements of the matrix B is
Let ƒ :R→R be a function defined by \(f(x) = \frac{2e^{2x}}{e^{2x} + e^x}\)Then \(f\left(\frac{1}{100}\right) + f\left(\frac{2}{100}\right) + f\left(\frac{3}{100}\right) + \ldots + f\left(\frac{99}{100}\right)\) is equal to ________.
In the above reaction ‘A’ is
Choose the correct answer from the options given below:
