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thomas atkins

thomas a.

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Consider the functions g: \mathbb{R}^2 \to \mathbb{R}, \quad g(x, y) = x^2y^3 f: \mathbb{R}^2 \to \mathbb{R}^2, \quad f(u, v) = (u^2 + v^2, 2u + 3v) Then the partial derivative of the composite $g \circ f$ with respect to $v$ equals ... a. $(14u^2 + 29v^2 + 36uv)(2v + 3)$ b. $(u^2 + v^2)(2u + 3v)^2(9u^2 + 8uv + 21v^2)$ c. $2v(2u + 3v)^2 + 3(u^2 + v^2)^2$ d. $4(u^2 + v^2)(2u + 3v)^3u + 6(u^2 + v^2)^2(2u + 3v)^2$ e. none of these.

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Most plants grow best at a soil water pH of 6.5 because: normal rainwater is slightly acidic.

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Problem 21.2A (Static) Make or Buy Decision (LO21-1, LO21-2, LO21-3, LO21-4) Guthrie Generators manufactures a solenoid that it uses in several of its products. Management is considering whether to continue manufacturing the solenoids or to buy them from an outside source. The following information is available: The company needs 20,000 solenoids per year. The solenoids can be purchased from an outside supplier at a cost of $15 per unit. The unit cost of manufacturing the solenoids is $20, computed as follows: able[[Direct materials,$180,000 Problem 21.2A (Static) Make or Buy Decision (LO21-1, LO21-2, LO21-3, LO21-4) Guthrie Generators manufactures a solenoid that it uses in several of its products. Management is considering whether to continue manufacturing the solenoids or to buy them from an outside source.The following information is available: 1.The company needs 20,000 solenoids per year.The solenoids can be purchased from an outside supplier at a cost of $15 per unit. 2. The unit cost of manufacturing the solenoids is $20, computed as follows: Direct materials Direct labor $180,000 Factory overhead: 40,000 Variable Fixed 80,000 Total manufacturing costs 100,000 $400,000 Cost per unit $400,000+20,000 units) $20 3.If theompany decides not to manufacture the solenoids,it will eliminate all of the raw materials and direct labor costs but only 75 percent of the variable factory overhead costs. 4.If the solenoids are purchased from the outside source,machinery used in the production of solenoids will be sold at its book value. Accordingly,no gain or loss will be recognized.The sale of this machinery would also eliminate $5,000 in fixed costs associated solenoids. with depreciation and taxes.No other reductions in fixed factory overhead will result from discontinuing the production of the Required: a-1.Prepare a schedule to determine the incremental cost or benefit of buying the solenoids from the outside supplier. a-2.Would you recommend that the company manufacture the solenoids or buy them from the outside source? b-1. Assume that if the solenoids are purchased from the outside source, the manufacturing space previously used to produce them can be used to manufacture an additional 4,000 electric wire harnesses used in the installation of home generators.The wire harnesses have an estimated contribution margin of $4 per unit. Manufacturing additional wire harnesses would have no effect on fixed factory overhead. Compute incremental cost or benefit of buying the solenoids from the outside source and using the factory space to produce additional wire harnesses. b-2.Would this new assumption change your recommendation as to whether to make or buy the solenoids?

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A random sample of 1,000 Americans were polled on a local bond that would fund projects for the school district. The poll results showed that 47 percent of the respondents oppose the bond, while 52 percent expressed support for the school bond and 1 percent was unsure. The poll had a 3 percent margin of error. What can one conclude from this poll?

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Find the interval in which the function $f(x) = |x + 19|$ is increasing. (Use symbolic notation and fractions where needed. Give your answers as intervals in the form (*, *). Use the symbol $\infty$ for infinity and the appropriate type of parenthesis "(", ")", "[" or "]" depending on whether the interval is open or closed.)

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What is one of the most effective ways to stop bullying in the moment? Have a peer intervene. Having a zero tolerance discipline policy. Encouraging aggressors to apologize on the spot. Remind targets that their behavior can bring about bullying.

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30. Given \(\{u_1, \dots, u_3\}\) is a linearly independent subset of \(\mathbb{R}^3\), where \(u_1 = \begin{bmatrix} 1 \\ 0 \\ 0 \end{bmatrix}\), \(u_2 = \begin{bmatrix} 1 \\ 1 \\ 1 \end{bmatrix}\), and \(u_3 = \begin{bmatrix} 1 \\ 1 \\ 0 \end{bmatrix}\). Let \(v_1 = u_1\), \(W_1 = \text{span}\{v_1\}\), and \(w_2\) be the orthogonal projection of \(u_2\) onto \(W_1\). Let \(v_2 = u_2 - w_2\). Determine which of the following is false. a. \(v_2 = \begin{bmatrix} 0 \\ 1 \\ 1 \end{bmatrix}\) b. \(\{v_1, v_2\}\) is an orthogonal basis for \(\text{Span}\{u_1, u_2\} = \text{Span}\{v_1, v_2\}\) c. Let \(w_3\) be the orthogonal projection of \(u_3\) onto \(\text{Span}\{v_1, v_2\}\) and \(v_3 = u_3 - w_3\). Then \(v_3 = \begin{bmatrix} 0 \\ 0.5 \\ 0.5 \end{bmatrix}\) d. \(\{v_1, v_2, v_3\}\) is an orthogonal basis for \(\text{Span}\{u_1, u_2, u_3\} = \text{Span}\{v_1, v_2, v_3\}\) e. none of these

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A frame shop has been commissioned to frame 5 black-and-white photos for an island resort. Each photo has a perimeter of 70 in. and a diagonal of 25 in. Find the dimensions of the photos. The longer side is in. The shorter side is in. (Type exact answers, using radicals as needed. Simplify your answers.)

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2. Find the equivalent inductance across the terminals.

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three bones proximate to the ulna three bones inferior to the femur

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