HRS - Ask. Learn. Share Knowledge. Logo

Questions in mathematics

[Done] Given [tex]g(x)=-4 x^4-5 e^x[/tex]. Find [tex]g^{\prime}(x)[/tex] and [tex]g^{\prime \prime}(x)[/tex]. [tex] \begin{array}{l} g^{\prime}(x)=\square \\ g^{\prime \prime}(x)=\square \end{array} [/tex]

[Done] The equation $\tan ^{-1}\left(\frac{8.9}{7.7}\right)=x$ can be used to find the measure of angle LKJ. What is the measure of angle LKJ? Round to the nearest whole degree. A. $41^{\circ}$ B. $45^{\circ}$ C. $49^{\circ}$ D. $55^{\circ}$

[Done] Solve the compound inequality. Graph the solution set, and write the solution set in interval notation. Write numbers as simplified fractions or integers. [tex]$-1 \leq \frac{2 x-3}{4}\ \textless \ 2$[/tex] The solution set in interval notation is $\square$.

[Done] Observational data is easier to analyze and interpret when it is organized into tables, charts, or graphs. Please select the best answer from the choices provided. A. True B. False

[Done] Find the value(s) of a for which the equation has an infinite number of solutions. [tex]a(2 x+3)=9 x+12-x[/tex] [tex]10 x-35+3 a x=5 a x-7 a[/tex]

[Done] The height $h$ (in feet) of an object $t$ seconds after it is dropped can be modeled by the quadratic equation $h=-16 t^2+h_0$, where $h_0$ is the initial height of the object. Suppose a small rock dislodges from a ledge that is 255 ft above a canyon floor. Solve the equation $h=-16 t^2+255$ for $t$, using the quadratic formula to determine the time it takes the rock to reach the canyon floor. A. $t \approx 0.87 s$ B. $t \approx 4 s$ C. $t=8.5 s$ D. $t=16 s

[Done] Given the function [tex]f(x)=6|x-2|+3[/tex], for what values of [tex]x[/tex] is [tex]f(x)=39[/tex]?

[Done] Calculate $\frac{13.2+8.9}{2.3^2}$ (a) Write down your full calculator display. (b) Write your answer to 2 significant figures.

[Done] Given [tex]$\lim _{x \rightarrow-2} f(x)=15$[/tex] and [tex]$\lim _{x \rightarrow-2} g(x)=-5$[/tex], evaluate [tex]$\lim _{x \rightarrow-2}\left[\frac{f(x)}{g(x)}-7\right]$[/tex] A. [tex]$\lim _{x \rightarrow-2}\left[\frac{f(x)}{g(x)}-7\right]=-10$[/tex] B. [tex]$\lim _{x \rightarrow-2}\left[\frac{f(x)}{g(x)}-7\right]=5$[/tex] C. [tex]$\lim _{x \rightarrow-2}\left[\frac{f(x)}{g(x)}-7\right]=-1$[/tex] D. [tex]$\lim _{x \rightarrow-2}\left[\frac{f(x)}{g(x)}-7\right]=-4$[/tex]

[Done] What is the volume of a cylinder with a height of 3 cm and a radius of 4 cm? Leave your answer in terms of π.