Chapter 1 Homework

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Question

Chapter 1 Homework

1. True or False

${[{(\frac{- 1}{3})}^{- 3}]}^{\frac{1}{3}}$

. Simplifies down to undefined.

2. Factor completely.

12 x^{3} - 10 x^{2} - 12 x

x (3 x + 2) (2 x - 3)

x {(4 x - 3)}^{2}

2 x (6 x^{2} - 5 x - 6)

d. None of the above.

3. True or False. The all factors, including the complex factors, for

16 - y^{4}

are

$- (y - 2) (y + 2) (y + 2 i) (y - 2 i)$

True or False

4 Solve the equation for ALL the answers

x^{3} = 8

5. True or False

The simplified form for

\frac{(x^{2} + 1) (\frac{1}{2} x^{\frac{- 1}{2}}) - x^{\frac{1}{2}} (2 x)}{{(x^{2} + 1)}^{2}}

\frac{1 - 3 x^{2}}{2 \sqrt{x} {(x^{2} + 1)}^{2}}

6. Simplify.

$\frac{- 3 x}{\sqrt{x + 2}} + 3 \sqrt{x + 2}$

a. -3x+3

b. 0

c. 6

d None of the Above

7. Simplify

$\frac{{(1 + x^{2})}^{2} (2) - 2 x (2) (1 + x^{2}) (2 x)}{{(1 + x^{2})}^{4}}$

8. Simplify

$7 {(\frac{2 x - 1}{3 x + 5})}^{6} (\frac{(3 x + 5) 2 - 3 (2 x - 1)}{{(3 x + 5)}^{2}})$

9. Find the equation of the line that passes through the points

(-1, -2) and (4, 5).

y = \frac{5}{7} x + 5

y = \frac{5}{7} x - 2

y = \frac{7}{5} x - 2

d. None of the above.

10. Find the equation of the line that has a slope -1/3 and y-intercept (0, 4/3).

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This question is taken from Math 238 – Calculus for Business and Social Sciences » Spring 2022 » Homeworks

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