Numerade

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Calculate $\iint_S \overline{F} \cdot d\overline{S}$ where $\overline{F} = \langle 3xy^2, xe^z, z^3 \rangle$ $S$ is the surface of the solid bounded by the cylinder $y^2 + z^2 = 1$ for $2 \le x \le 4$

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3. Let f and g be the functions whose graphs are shown. (a) $u(x) = f(g(x))$. Find $u'(1)$ or explain why it does not exist. (b) $v(x) = g(f(x))$. Find $v'(1)$ or explain why it does not exist. (c) $w(x) = g(g(x))$. Find $w'(1)$ or explain why it does not exist.

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Which of the following electrochemical cells would generate a voltage $\Delta V = 2.0V$? Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a I⁻(aq)|I₂(s)||Cl₂(g)|Cl⁻(aq) b Al(s)|Al³⁺(aq)||Cu²⁺(aq)|Cu(s) c Zn(s)|Zn²⁺(aq)||Cl₂(g)|Cl⁻(aq) d Ag(s)|Ag⁺(aq)||F₂(g)|F⁻(aq)

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QWE wishes to issue a perpetual bond (par value = $1,000) that pays 7.9% annual coupon. The current interest rate is 8.5%. Next year, the interest rate will be 2.1% or 9.3% with equal probability. What is the issue price of this bond? (keep 4 decimal places)

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which of the following is NOT true from our self-report data on juvenile delinquency in the US?

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if a number squared is greater than 1, then the number itself must be greater than 1

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In long-run perfectly competitive equilibrium, which of the following is false? A. Firms earn economic profit. B. Economies of scale are exhausted. C. Economic surplus is maximized. D. There is efficient, low-cost production at the minimum efficient scale.

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dy\n---\ndx = \frac{2x - 2xy}{1 + x^2} using the technique associated with each of the three types of the\n10. Solve equations this ODE belongs to: (a) First order linear equation, (b) Separable equation, and\n(c) Exact equation. Note: Obviously, you should get three equivalent, if not exactly the same,\nanswers. Show this!

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A particle moving in the xy-plane is subject to a force $\vec{F}(x, y) = (60 \text{ N} \cdot \text{m}^2) \frac{(x + y)}{(x^2 + y^2)^{3/2}}$ where x and y are in meters. Calculate the work (in J) done on the particle by this force as it moves in a straight line from the point (6 m, 9 m) to the point (7 m, 8 m).

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2. A, B and C are collinear, and B is between A and C. The ratio of AB to BC is 1: 4. If A is at (2, 0) and C is at (7, 10), what are the coordinates of point B?

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