Numerade

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Find the area of the surface obtained by rotating the curve about the x-axis. $x = \frac{1}{3}(y^2+2)^{\frac{3}{2}}$, $1 \le y \le 3$ a. $48\pi$ b. $50\pi$ c. $46\pi$ d. $54\pi$ e. $\frac{58\pi}{2}$ Tiempo restante 0:37:43

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Compute the matrix of partial derivatives of the function f:R^(3)->R^(2),f(x,y,z)=(4x+6e^(z)+8y,5yx^(2)) and select the correct answer from the given choices. Df(x,y,z)=[[4,6e^(z),8],[10xy,0,5x^(2)]] Df(x,y,z)=[[12+6e^(z),10xy+5x^(2)]] Df(x,y,z)=[[4,10xy],[6e^(z),5x^(2)],[8,0]] Df(x,y,z)=[[4,10xy],[8,5x^(2)],[6e^(z),0]] Df(x,y,z)=[[4,8,6e^(z)],[10xy,5x^(2),0]]

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3. A gamma distribution with parameters $ \boldsymbol{\alpha}, \boldsymbol{\beta} $ has the following density function, where $ \boldsymbol{\Gamma}(\boldsymbol{t}) $ is the gamma function. \[ p(x)=\frac{\beta^{\alpha}}{\Gamma(\alpha)} x^{\alpha-1} e^{-\beta x} \] If the posterior distribution is in the same family as the prior distribution, then we say that the prior distribution is the conjugate prior for the likelihood function. Using the Gamma distribution as a prior, show that the Exponential distribution is a conjugate prior of the Gamma distribution. Also, find the maximum a posteriori estimator for the parameter of the Exponential distribution as a function of $ \boldsymbol{\alpha} $ and $ \boldsymbol{\beta} $.

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More evidence against $H_0$ is indicated by $\circ$ lower probabilities for the power of the test. $\circ$ lower levels of significance. $\circ$ smaller $p$-values. $\circ$ smaller critical values.

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Question 92 Which of the following is an example of an organic disorder? Alzheimer's disease Cocaine dependence Schizophrenia All of the above are Organic disorders 1 pts

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If $f(x) = 3e^x - 9x^3 + 29$, find $f'(x)$.

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Which of the following statements is TRUE of personality factors that affect gender differences? Generally, men experience greater guilt about their aggressiveness than women and are more concerned about its effects on their victims. Men are generally better than women at decoding others' facial expressions. Women's self-esteem is influenced primarily by their perception of their sense of interdependence and connection with others.

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TB MC Qu. 03-86a (Algo) Suppose product... Suppose product Z is an input in the production of product X. Product X in turn is a substitute for product Y. A decrease in the price of Z can be expected to Multiple Choice decrease the demand for Y. decrease the supply of Y. have no effect on the demand of product Y. increase the demand for Y.

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Two forces of 96 pounds and 64 pounds act simultaneously on an object. The resultant forms an angle of 43deg with the 64-pound force. Find the angle formed between the two original forces, to the nearest degree.

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What is the molar mass of $C_{12}H_{18}O_2$ in g/mole?

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gregorio p.