Use differentials to estimate the amount of metal in a closed cylindrical can that is 12 cm high and 8 cm in diameter if the metal in the top and bottom is 0.09 cm thick and the metal in the sides is 0.01 cm thick. (rounded to the nearest hundredth.)
a. 8.34 cm³
b. 6.99 cm³
c. 6.91 cm³
d. 6.7 cm³
e. 12.06 cm³
e. 12.06 cm³
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Identify the type of curve that each equation represents by evaluating B2 - 4AC. x2 - 2xy + y2 - 6x + y + 20 = 0
A. Ellipse B. Parabola C. Hyperbola
Let U = {q, r, s, t, u, v, w, x, y, z}, A = {q, s, u, w, y}, B = {q, s, y, z}, and C = {v, w, x, y, z}. List the elements in the following set.
? B
A. {r, s, t, u, v, w, x, z} B. {q, r, s, t, v, x, y, z} C. {s, u, w} D. {q, s, t, u, v, w, x, y}
Multiply and simplify. Assume no radicands were formed by raising negative numbers to even powers.
A. x6y5
B. x6y6
C. x6y5
D. x6y7
Classify the following as the equation of a parabola, a circle, an ellipse, or a hyperbola.16x2 + 4y2 - 64 = 0
A. Ellipse B. Parabola C. Hyperbola D. Circle