Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the y-axis.y = 32 - x2, y = x2, x = 0
A. 512?
B. 128?
C. 256?
D. 64?
Answer: C
Mathematics
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Find the dot product v ? w.v = -i + j,
w = -i - j
A. 1 B. 2 C. -1 D. 0
Mathematics
Graph the quadratic function using its vertex, axis of symmetry, and intercepts.f(x) = 4x2 - 8x + 8
A. vertex (1, 4)
intercept 
B. vertex (-1, 4)
intercept (0, 8)
C. vertex (-1, 4)
intercept 
D. vertex (1, 4)
intercept (0, 8)
Mathematics
Express as the logarithm of a single expression. Assume that variables represent positive numbers.3logz4 + logz2
A. logz24
B. logz
C. 3logz8
D. logz128
Mathematics
Use a determinant and the given vertices of a triangle to find the area of the triangle.
What will be an ideal response?
Mathematics