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Questions and Answers
What is the derivative of $f(x) = 3x^4 - 8x^2 + 5$?
What is the derivative of $f(x) = 3x^4 - 8x^2 + 5$?
- $f'(x) = 12x^3 - 16x$ (correct)
- $f'(x) = 6x^3 - 8x$
- $f'(x) = 6x^3 - 16x$
- $f'(x) = 12x^3 - 8x$
What is the solution to the equation $2x^2 - 5x + 2 = 0$?
What is the solution to the equation $2x^2 - 5x + 2 = 0$?
- $x = 2, -\frac{1}{2}$
- $x = 2, \frac{1}{2}$ (correct)
- $x = -2, -\frac{1}{2}$
- $x = -2, \frac{1}{2}$
What is the value of the definite integral $\int_{0}^{\pi} 2x \sin(x) ,dx$?
What is the value of the definite integral $\int_{0}^{\pi} 2x \sin(x) ,dx$?
- $\pi$
- $0$
- $2\pi$ (correct)
- $-\pi$
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