Solve the problem.The equation of the line passing through the distinct points (x1, y1) and (x2, y2) is given by
= 0. Find the equation of the line passing through the points (3, 5) and (-1, 4).
A. x - 4y + 17 = 0
B. x + 7y + 17 = 0
C. x + 4y + 17 = 0
D. -x + 4y - 17 = 0
Answer: A
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Calculate the surface area of the given surface.The surface f(x,y) = x2 + y2, -1 ? x, y ? 2. (Hint: Do the first integral by substitution or using a formula from the Table of Integrals. Use numerical integration to do the outer integral.)
A. 35.5222 B. 18.4734 C. 25.3332 D. 29.3516
Find the surface area or volume.The region between the curve y = , -0.9 ? x ? 1.0, and the x-axis is revolved about the x-axis to generate a solid. Use a table of integrals to find the volume of the solid generated to two decimal places.
A. 3.81 B. 4.12 C. 3.40 D. 3.23
A pair of similar triangles is given. Write the corresponding angles and the ratios of the corresponding sides.
A. ?A ? ?L
?B ? ?N
?C ? ?M =
=
B. ?A ? ?L
?B ? ?N
?C ? ?M =
=
C. ?A ? ?L
?B ? ?M
?C ? ?N =
=
D. ?A ? ?L
?B ? ?M
?C ? ?N =
=
Perform the indicated operations and, if possible, simplify. Recall that multiplications and divisions are performed in order from left to right. ?
÷
A.
B.
C. 1
D.