Calculus Practice Questions - Page 1942

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• solve the following:\n① $int\frac{3x^{2}}{5x^{3}-1}dx$\n② $int\frac{2 - 3sin x}{cos^{2}x}dx$\n③ $int...

• 3. sketch the following quadric surface.\n\n$$z = \\frac{x^2}{4} + \\frac{y^2}{4} - 6$$

• example 2 sketch the graph of each of the following vector functions.\n(b) $\\vec{r}(t) = \\langle t...

• 5. sketch the graph of $f(x) = e^{x-3} + 6$.

• evaluate:\n$$\\sum_{n=1}^{\\infty} 9\\left(\\frac{5}{6}\\right)^{n-1}$$\n$$s = ?$$\nsum of an infini...

• 1. sketch the following quadric surface.\n$$\\frac{y^{2}}{9}+z^{2}=1$$

• for each problem, find the area of the region enclosed by the curves. you may use the provided graph...

• 2. sketch the following quadric surface.\n$$\\frac{x^{2}}{4}+\\frac{y^{2}}{9}+\\frac{z^{2}}{6}=1$$

• evaluate $\\int \\sqrt{\\cos x} \\sin^{3} x \\, dx$.

• use integration by parts to evaluate the integral:\n$$\\int \\ln(r) \\sqrt{r^{19}} dr$$

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