Replace the polar equation with an equivalent Cartesian equation.r2 = 40r cos ? - 6r sin ? - 9
A. (x - 20)2 + (y + 3)2 = 400
B. (x + 40)2 + (y - 6)2 = 9
C. 40x - 6y = 9
D. (x - 20)2 + (y + 3)2 = 9
Answer: A
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A. > 2
B. > 2
C. < 2
D. > -6
Read the method of solving the system of equations.
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Solving the first equation for y, we have . Substituting this value of y into the second equation, we have
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The equation is quadratic. We write it in standard form and apply the quadratic formula.
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Use the method shown above to solve the system of equations.
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A. ?
B. ?
C.
D. ?
E. ?
Find the indicated cross product.v = -4i - 5j, w = -4i + 4j - 6kFind w × v.
A. -30i + 24j + 36k B. -24i - 24j - 36k C. -24i + 30j + 36k D. 36i + 30j - 30k
Find the volume generated by revolving about the x-axis the region bounded by the following graph.
A. ?
B. ?
C. ?
D. 625?