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1
Determine the volume of the solid obtained by rotating the portion of the region bounded by $y=\sqrt[3]{x}$ and $y=\frac{x}{4}$ that lies in the first quadrant about the ...
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2
Depramine the area of region bounded by $y=2x^{2}+10$ and $y=4x+16$
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3
Differentiate each of the following. $g(x)=\int ^{x}_{-4}e^{2t}cos^{2}(1-5t)dt$
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4
1.Evaluate the following definite integral $\int^{130}_{130}\frac{x^{3}-x\sin(x)+\cos(x)}{x^{^{2}}+1}dx$
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5
Determine all the number(s) c which satisfy the conclusion of Roles' Theorem for the given function and interval $f(x)=x^{2}-2x-8 $ on $ [-1,3]$
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6
sketch the graph of $h(x)=-(x+4)^{3}$ and identify all the relative extrema and absolute extrema of the function.
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7
Use the Squeeze Theorem to determine the value of $\lim_{x\rightarrow 0} x^{4}\sin (\frac{\pi}{x}).$$x^{4}\sin (\frac{\pi}{x}).$
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8
Given that $7x\leq f\left ( x \right )\leq 3x^{2}+2$ for all determine the value of $\lim x\rightarrow 0 f(x)$
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9
1. Evaluate $x\rightarrow 5 lim (10)+\mid x-5\mid$
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10
Determine the domain of the function$$f(x)=\frac{x^{2}+3x+5}{x^2-5x+4{}}$$
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11
Determine the domain of the function $f(x)=\left | x \right |+1$
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12
Suppose a radioactive substance decays according to the equation $y=2000e^{-0.75t}$, where $y$ represent the mass in grams after $t$ hours.How much of $2$ milligram will...
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14
Suppose a radioactive substance decays according to the equation $y=2000e^{-0.75t}$, where $y$ represent the mass in grams after $t$ hours.Calculate the mass of the subs...
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15
Sketch the graph of $f(x) = \frac{x^{3}-1}{x^{2}-1}$
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16
Determine the domain of the function $f(x) = |x – 2|$