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Questions in Grade College

[Done] Section C 1) Evaluate the following i) [tex]$\lim _{x-4}\left(\frac{x^2-16}{x-4}\right)$[/tex] ii) [tex]$\underset{x-\frac{1}{3}}{\lim }\left(\frac{9 x^2-1}{3 x-1}\right)$[/tex] b) Differentiate [tex]$(2 x+4)^2(3 x-1)^3$[/tex] c) If [tex]$x^3+y^3+6 x y=0$[/tex], find [tex]$\frac{d y}{d x}$[/tex] by implicit differentiation

[Done] Is 14 an integer, natural number, or whole number? Select a choice. A. Integer B. Natural Number C. Whole Number D. All of the above

[Done] What is the equation of the line of best fit for the following data? Round the slope and $y$-intercept of the line to three decimal places. | x | y | | -- | -- | | 5 | 4 | | 6 | 6 | | 9 | 9 | | 10 | 11 | | 14 | 12 | A. $y=0.535 x+0.894$ B. $y=0.894 x+0.535$ C. $y=-0.894 x+0.535$ D. $y=-0.535 x+0.894

[Done] For the function [tex]f(x)=\sqrt{x+1}[/tex], a) State the domain of the function, using interval notation. Domain of [tex]f(x)[/tex] : [ ] b) Graph the function Clear All Draw: [symbols] c) Use the graph to determine the range of the function. Use interval notation.

[Done] The table represents a linear function. The rate of change between the points $(-5,10)$ and $(-4,5)$ is -5. What is the rate of change between the points $(-3,0)$ and $(-2,-5)$? -5 -\frac{1}{5} \frac{1}{5} 5

[Done] Divide the following decimal numbers: $4.56 \div 0.0456=$ (b) $134.78 \div 0.4$

[Done] The hip joint is a ball-and-socket joint. True or False

[Done] Solve for $x$. $\log _x \frac{1}{100}=2$ Simplify your answer as much as possible.

[Done] The Cold War resulted from: A. U.S. nuclear power. B. aggressive Soviet behavior in the Middle East. C. lack of trust between the United States and the Soviet Union. D. aggressive British behavior in Europe.

[Done] The half-life of a particular radioactive substance is 1 year. If you started with 50 grams of this substance, how much of it would remain after 3 years? Remaining Amount $=50$ ( $1-$ [?]) Remaining Amount $= I (1-r)^{ t }$