Recent questions tagged goclasses-cs-dpp-day-17

Define a function $f$ as follows:$$f(x)= \begin{cases}k x^2+l, & \text { if } x \leqslant 1 \\ l x^2+k x+m, & \text { if } x>1\end{cases}$$If $f$ is continuous and differ...

Let $f$ and $g$ be two real valued functions such that $g(x)=f(x)-2$. Select all true options.If $f$ is odd, then $g$ is odd. If $f$ is even, then $g$ is even. If $g$ is ...

Evaluate the integral:$$\int \frac{4}{3 x+2} d x$$$4 \ln (3 x+2)+C$ $\frac{4}{3} \ln (3 x+2)+C$ $\frac{1}{3} \ln (3 x+2)+C$ $2 \ln (3 x+2)+C$

Differentiate $y=e^x \cos x^2$$-e^x \sin x^2$ $e^x\left(\cos x^2-2 x \sin x^2\right)$ $e^x \cos x^2-2 x \sin x^2$ $-2 x e^x \sin x$

Simplify the expression: $ \lim _{x \rightarrow 4} \frac{x^2-16}{x-4} $10816