Numerade

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Use the product rule to find the derivative of the function. $y=(4x^2+5)(4x-5)$ What is the correct way of writing the derivative of y? A. $\frac{dy}{dx}=(4x^2+5)\cdot(4x-5)+\frac{d}{dx}(4x-5)\cdot\frac{d}{dx}(4x^2+5)$ B. $\frac{dy}{dx}=(4x^2+5)\cdot\frac{d}{dx}(4x-5)+(4x-5)\cdot\frac{d}{dx}(4x^2+5)$ C. $\frac{dy}{dx}=\frac{d}{dx}(4x^2+5)\cdot\frac{d}{dx}(4x-5)$ D. $\frac{dy}{dx}=\frac{d}{dx}(4x^2+5)\cdot\frac{d}{dx}(4x-5)+\frac{d}{dx}(4x-5)\cdot\frac{d}{dx}(4x^2+5)$ $\frac{dy}{dx}=$

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Which institution provides protection to depositors in case of commercial bank failure? Question 1Answer a. Deposit Insurance Corporation b. Correspondent Bank c. Central Bank d. Ministry of Finance

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The ____ to define poverty states that a person is living in poverty when their income is substantially less than the average income of the population. a. absolute approach b. situational approach c. relative approach d. generational approach

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what happens in each of the three steps on transcription in eukaryotes: initiation, elongation, termination

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The center O of the wheel is mounted on the sliding block, which has an acceleration $a_0 = 8.6$ m/s$^2$ to the right. At the instant when $\theta = 54^\circ$, $\dot{\theta} = 2.8$ rad/s and $\ddot{\theta} = -5.7$ rad/s$^2$. For this instant determine the magnitudes of the accelerations of points A and B. Answers: $a_A = $ m/s$^2$ $a_B = $ m/s$^2$

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By using system above, I found Y(z) as below, using this, can you answer part d, e, f correctly? \begin{equation} Y(z) = \frac{1}{2}(X(z)H_0(z)G_0(z)) + \frac{1}{2}(X(-z)H_0(-z)G_0(z)) + \frac{1}{2}(X(z)H_1(z)G_1(z)) + \frac{1}{2}(X(-z)H_1(-z)G_1(z)) \end{equation} d) Show that the overall system is not necessarily LTI for arbitrary filters $H_0(z)$, $H_1(z)$, $G_0(z)$, and $G_1(z)$. e) Show that the overall system is LTI if $H_0(-z)G_0(z) + H_1(-z)G_1(z) = 0$. f) Show that if $F_0(z) = H_1(-z)$ and $F_1(z) = -H_0(-z)$, the overall system is LTI

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To be fully insured for Social Security retirement benefits, a worker must have: A. 10 B. 40 C. 100 D. 550 E. 1,510 Social Security credits.

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2. Using the techniques of Section 5.3, test the following two-sided hypotheses: a. For Equation 5.8 (below), test the hypothesis that: $ \hat{Y} = 300.0 + 10.0X_1 + 200X_2 $ $ (1.0) \qquad (25.0) $ $ t = 10.0 \qquad 8.0 $ $ R^2 = 0.90 \qquad N = 30 $ $ H_0: \beta_2 = 160.0 $ $ H_A: \beta_2 \neq 160.0 $ at the 5-percent level of significance (Hint: 160 is the border value). (2 points) b. For Equation 5.4 (below), test the hypothesis that: $ \hat{Y}_i = 102,192 - 9075N_i + 0.355P_i + 1.288I_i $ $ (2053) \qquad (0.073) \qquad (0.543) $ $ t = -4.42 \qquad 4.88 \qquad 2.37 $ $ N = 33 \quad R^2 = .579 $ $ H_0: \beta_3 = 0 $ $ H_A: \beta_3 \neq 0 $ at the 1-percent level of significance. (2 points)

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11.70 Water is heated at a flow rate of (6kg/S) from temperature of (25°C) to a temperature of (80°C) in a heat exchanger of area(29m²) by using steam condensing at (100°). To obtain its performance determine the coefficient of overall heat transfer. If the operation data of heat exchanger are changed as follows: water flow rate becomes (4.2kg/S) with overall heat transfer coefficient of (80%) of the original value and the water exit temperature is (80°C). Determine the inlet temperature of water. Ans.: 1143W/m².°C, 9.1°C

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Find $v_o$ if $v_s = 20sin(1000t)V$, $C_1 = C_2 = 1\mu F$, and $R_1 = R_2 = R_3 = 2k\Omega$.

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robert g.