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MATH218 TEST 2

Authored by Danphil Daniel

Mathematics

University

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MATH218 TEST 2
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9 questions

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1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Determine the critical points for the following function: p(w)=w34w27w1p\left(w\right)=w^3-4w^2-7w-1  

 x = 1 & x=7x\ =\ 1\ \&\ x=7  

 x=1 & x=73x=-1\ \&\ x=\frac{7}{3}  

 w=1 & w=73w=-1\ \&\ w=\frac{7}{3}  

 x=1 & x=3x=1\ \&\ x=3  

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Determine the critical points of the function: R(x)=8x318x2240x+2R\left(x\right)=8x^3-18x^2-240x+2  

 x=4 & x=104x=4\ \&\ x=\frac{-10}{4}  

 x=4 & x=52x=4\ \&\ x=\frac{5}{2}  

 x = 4 & x=40x\ =\ 4\ \&\ x=40  

 x=1 & x = 7x=1\ \&\ x\ =\ 7  

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Evaluate the given integral: 3x42x2+1xdx\int_{ }^{ }3x^4-\frac{2}{x^2}+\frac{1}{x}dx  

 3x55+4x+lnx+c\frac{3x^5}{5}+\frac{4}{x}+\ln\left|x\right|+c  

 3x55+2x+lnx+c\frac{3x^5}{5}+\frac{2}{x}+\ln\left|x\right|+c  

 x55+2xlnx+c\frac{x^5}{5}+\frac{2}{x}-\ln\left|x\right|+c  

 3x55+2x3+lnx+c\frac{3x^5}{5}+\frac{2}{x^3}+\ln\left|x\right|+c  

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Evaluate the given integral: (1x)(2+x)xdx\int_{ }^{ }\frac{\left(1-x\right)\left(2+x\right)}{x}dx  

 2lnxxx222\ln\left|x\right|-x-\frac{x^2}{2}  

 2lnx+x+x22+c2\ln\left|x\right|+x+\frac{x^2}{2}+c  

 2lnxxx22+c2\ln\left|x\right|-x-\frac{x^2}{2}+c  

 lnx2x+x22+c\ln\left|x\right|-2x+\frac{x^2}{2}+c  

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Evaluate the given integral: (2t2)e(6tt3)dt\int_{ }^{ }\left(2-t^2\right)e^{\left(6t-t^3\right)}dt  

 e(6tt3)6+c\frac{e^{\left(6t-t^3\right)}}{6}+c  

 e(6tt3)+ce^{\left(6t-t^3\right)}+c  

 e(t3t2)+ce^{\left(t-3t^2\right)}+c  

 e(6tt3)e^{\left(6t-t^3\right)}  

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Evaluate the given integral: (ln(w2))4wdw\int_{ }^{ }\frac{\left(\ln\left(w^2\right)\right)^4}{w}dw  

 110(ln(w2))5+c\frac{1}{10}\left(\ln\left(w^2\right)\right)^5+c  

 12(ln(w2))5+c\frac{1}{2}\left(\ln\left(w^2\right)\right)^5+c  

 210(ln(w2))5+c\frac{2}{10}\left(\ln\left(w^2\right)\right)^5+c  

 210(ln(w2))5\frac{2}{10}\left(\ln\left(w^2\right)\right)^5  

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Evaluate the given integral: 06102z dz\int_0^6\left|10-2z\right|\ dz  

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