Intro to Calculus - Week 32 Quiz Multiple Choice Section

Which of the following graphs has the largest average rate of change from -1 to 2?

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Find the slope at x = 3 of the equation f(x) = 3x²

• 6x

• 27

• 18

• 3x

 $\int_{ }^{ }\sqrt{x^5}\ dx\ =\ ...$  

•  $\frac{2}{7}x^{3\ }\sqrt{x}+\ C$  

•  $\frac{2}{5}x^3\sqrt{x}\ +\ C$  

•  $\sqrt{5x^4}\ +\ C$  

•  $\sqrt{\frac{1}{6}x^6}\ +\ C$  

•  $5x^{4\ }+\ C$  

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∫ 2x cos(x²) dx

• sin(x²) + C

• 2 sin ( 2x ) + C

• (1/2) sin(x²) + C

• 4 cos(2x ) + C

What should "u" equal in this integral?

• x
• (lnx)/x
• lnx
• sin(lnx)

• cosx
• -cosx
• -sinx cosx
• sinx cosx

• sinx
• -sinx
• -cscx cotx
• sec²x

What should be assigned to u in the integral?

• 2x²
• 4x
• 5x
• no u needed

What should u equal in this integral?

• csc(x)
• csc²x
• sin(x)
• cos(x)