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Questions in mathematics

[Answered] Simplify $[(3 x^2 6 y^5) \cdot (2 x^7 3 y^6)] \div (6 x^4 6 y^8)$

[Answered] $\int \frac{x^2}{x-1} d x$

[Answered] Which two statements are true about the key features of the graph of the function [tex]h(x)=2 \tan (x)-1[/tex]? A. The midline of the function is [tex]y=\frac{x}{2}[/tex]. B. The amplitude of the function is 2. C. The function does not have a midline or an amplitude. D. The domain of the function is all real numbers. E. The period of the function is [tex]\frac{\pi}{2}[/tex]. F. The range of the function is all real numbers.

[Answered] Find the areas of the following perfect squares. \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline \begin{tabular}{c} Side \\ length \end{tabular} & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 \\ \hline Area & 1 & 4 & 9 & 16 & 25 & 36 & 49 & 64 & 81 & 100 & 121 & 144 & \\ \hline \end{tabular}

[Answered] A solid right pyramid has a square base with an edge length of [tex]$x cm$[/tex] and a height of [tex]$y cm$[/tex]. Which expression represents the volume of the pyramid? A. [tex]$\frac{1}{3} x y cm^3$[/tex] B. [tex]$\frac{1}{3} x^2 y cm^3$[/tex] C. [tex]$\frac{1}{2} x y^2 cm^3$[/tex] D. [tex]$\frac{1}{2} x cm ^2$[/tex]

[Answered] Question 3: Suppose [tex]g(5)=30[/tex] and [tex]g^{\prime}(5)=-3[/tex]. Estimate the value of [tex]g(7)[/tex] using differentials. ( 10 pts) a) 24 b) 26 c) 28 d) 30

[Answered] Evaluate the following. If [tex]$f(x)=-(3 x+7)$[/tex], what is [tex]$f(8)$[/tex]?

[Answered] A dolphin is swimming 3 feet below sea level. It dives down 9 feet to catch some fish. Then, the dolphin swims 4 feet up toward the surface with its catch. What is the dolphin’s final elevation relative to sea level?

[Answered] What is [tex]h(x)=7+10 x+x^2[/tex] written in vertex form? [tex]h(x)=(x-25)^2-18[/tex] [tex]h(x)=(x-5)^2+32[/tex] [tex]h(x)=(x+5)^2-18[/tex] [tex]h(x)=(x+25)^2+32[/tex]

[Answered] Solve the Inequality $-7 \geq \frac{x}{4}-6$