Consider the following function

$f(x)=e^{-kx}(Ax+B)$

Where $A=9,B=4,$ and $k=1$

What value $ofx$ optimizes this function?

Please type your numeric answer rounded $to2$ decimal places Consider the following function

$f(x)=a{x}^n-bx+c$

where $a=0\mathrm{.}3,b=5\mathrm{.}7,c=7\mathrm{.}6,$ and $n=2$

What $is$ the value $of$ the definite integral: ${\displaystyle \underset{-1}{\overset{1}{}}}f(x)dx$

Please type your numeric answer rounded $to1$ decimal place Consider the following function

$f(x)=\frac{Ax}{k^2+x^2}$

where $A=4\mathrm{.}8$ and $k=2\mathrm{.}6$

What $is$ the value $of$ the definite integral: ${\displaystyle \underset{0}{\overset{1}{}}}f(x)dx$

Please type your numeric answer rounded $to2$ decimal places Consider the following function

$f()=$Asin$cos$

where $A=7$

What $is$ the value $of$ the definite integral: ${\displaystyle \underset{0}{\overset{{}_f}{}}}f()d$ where ${}_f=38\mathrm{.}3$

Please type your numeric answer rounded $to1$ decimal place

AnswerConsider the following set $of$ parametric functions

$x(t)=3\mathrm{.}5cos(12\mathrm{.}6t)$

$y(t)=5\mathrm{.}2sin(12\mathrm{.}6t)$

What $is$ the value $of\sqrt[\phantom{2}]{x^2+y^2}$ when $t=1\mathrm{.}3?$

Please type your numeric answer rounded $to1$ decimal place

Answer