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bethany manzano

bethany m.

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Using vector algebra, identify all of the following vectors that are equivalent to \( (\mathbf{u}+\mathbf{v}) \times \mathbf{w} \). \( \mathbf{w} \times \mathbf{u}+\mathbf{w} \times \mathbf{v} \) \( \mathbf{v} \times \mathbf{w}-\mathbf{u} \times \mathbf{w} \) \( -\mathbf{w} \times \mathbf{u}-\mathbf{w} \times \mathbf{v} \) \( \mathbf{u} \times \mathbf{w}+\mathbf{v} \times \mathbf{w} \) \( \mathbf{u} \times \mathbf{w}-\mathbf{v} \times \mathbf{w} \)

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Most of the oxygen is carried in the blood: On the globin component of hemoglobin Dissolved in the plasma As Carbonic acid Combined with plasma proteins On the heme component of hemoglobin

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Find the area of a circle with a circumference of 37.68 units. \( \square \) units \( ^{2} \) Show Calculator

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Find the length of the polar curve $r = e^{\theta}$ for $0 \le \theta \le \frac{14}{10}\pi$. L =

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Find the derivative of the function. f(x) = 6x^3 + 8x^2/x. The function f(x) can be simplified to make the algebraic process of finding the derivative easier. f(x) = 6x + 8.

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This exercise is based on the following table, which lists interest rates on long-term investments (based on 10-year government bonds) in several countries in 2021. Country United States Qatar Iceland South Africa Brazil Yield 0.025% 2.5% 1.0% 3.5% 4.25% If you invest $10,600 in Qatar, and the interest is compounded monthly, when, to the nearest month, will your investment be worth $30,000?

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7. In the network below the load impedance is Z = 2500 + j1000 \Omega and absorbs 34.483 kW of real power. At a frequency of 60 Hz, the power factor of the load is 0.928 lagging. Calculate the capacitance that when placed in parallel with the load would raise the power factor to 0.96 lagging. Show your work clearly and place your answer in the box. 8. Compute the rms value of the following periodic voltage waveform and then calculate the real power that would be absorbed by a 120 \Omega resistor if this voltage waveform was placed across it. Show your work carefully.

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7. Find the absolute extrema of $f(x,y) = x^2 + y - xy + 4$ on the triangular region with vertices (0,0), (4,0), (0,4). (20)

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Use your graphing utility to enter each side of the equation separately under $y_1$ and $y_2$. Then use the utility's TABLE or GRAPH feature to solve the equation. $4x + 2(x - 4) = 5x - 5$ Use the TABLE feature to display a table of values. Examine the table on your graphing utility and use these values to complete the table below. X $Y_1$ 1 2 3 4 5 $Y_2$

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Given a line and a plane as following: Line: $x = 4 + 2t$; $y = -1 + 2t$; $z = -9 + 3t$ Plane: $3x - 6y + 2z = 7$ i) Find all intersection points of the line and the plane, if any. ii) Find the shortest distance between the line and the plane.

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