Numerade

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3. Use Part 1 of the Fundamental Theorem of Calculus to compute $f'(x)$. (a) $f(x) = \int_{1}^{3x} \ln t \, dt$

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Exercise Determine whether the equation is exact. If it is, solve it. If it is not, find an integrating factor to make it exact and then solve the equation: 1. $2xy\ dx + (x^2 - 1)\ dy = 0$. 2. $\frac{dy}{dx} = \frac{xy^2 - \cos x \sin x}{y(1 - x^2)}$, with $y(0) = 2$. 3. $xy\ dx + (2x^2 + 3y^2 - 20)\ dy = 0$. 4. $x\ dx + (x^2y + 4y)\ dy = 0$, with $y(4) = 0$. Plot of $y^2(1 - x^2) - \cos^2 x = 3$, solution to second problem.

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The way we organize and process information in terms of gender-based categories is referred to as _____. gender constancy gender stereotyping self-socialization gender schemas

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If x is a (fixed) positive number, write the following in the form x^(p). (a) ((x^(5))^(2))/(x^(3))

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Social relationships help older adults maintain active and meaningful lives. ? True ? False

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If a function f(x) is an odd function, then f(-x) = f(x) f(-x) = -f(x) f(-x) = f(x-1) f(-x) = -f(-x) If a function f is an odd function then Of-f Of-f1 Of = f

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Decide if the given value of x is a critical number for f, and if so, decide whether the point is a relative minimum, relative maximum, or neither.\ f(x) = 3x^4 - 4x^3 - 12x^2 + 24; x = 0\ A. Critical number but not an extreme point

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Derive the equation that gives the efficiency of an engine and show why 0K is not reachable.

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A credit card company claims that the mean credit card debt for individuals is greater than $5,000. You want to test this claim. You find that a random sample of 31 cardholders has a mean credit card balance of $5,216 and a standard deviation of $650. At $\alpha = 0.05$, can you support the claim? Complete parts (a) through (e) below Assume the population is normally distributed. $\bigcirc$ A. $H_0: \mu = 55,000$ $H_a: \mu \neq 55,000$ $\bigcirc$ D. $H_0: \mu \geq 55,000$ $H_a: \mu < 55,000$ $\bigcirc$ B. $H_0: \mu = 55,000$ $H_a: \mu > 55,000$ $\bigcirc$ E. $H_0: \mu > 55,000$ $H_a: \mu \leq 55,000$ (b) Find the critical value(s) and identify the rejection region(s) What is(are) the critical value(s), $t_\alpha$? $t_\alpha = \Box$ (Use a comma to separate answers as needed. Round to three decimal places as needed) Determine the rejection region(s). Select the correct choice below and fill in the answer box(es) within your choice (Round to three decimal places as needed) $\bigcirc$ C. $H_0: \mu > 55,000$ $H_a: \mu \leq 55,000$ $\bigcirc$ F. $H_0: \mu \leq 55,000$ $H_a: \mu > 55,000$ $\bigcirc$ A. $t > \Box$ $\bigcirc$ C. $t < \Box$ and $t > \Box$ (c) Find the standardized test statistic t $\bigcirc$ B. $\Box < t < \Box$ $\bigcirc$ D. $t < \Box$

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An ellipse has parametric equations: $x = 4 \cos(\theta) ; y = 9 \sin(\theta)$ You are finding the arclength, L from $\theta = \frac{\pi}{4}$ to $\theta = \frac{\pi}{3}$ Is the following True or False: $L = \int_{\frac{\pi}{4}}^{\frac{\pi}{3}} \sqrt{16 - 7 \cos^2(\theta)} \,d\theta$ Select one: ? True ? False

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enrique d.