Provide an appropriate response.Under what circumstances can a system of equations be solved more easily by graphing than be substitution?
What will be an ideal response?
A system of equations would be solved more easily by graphing than by substitution when there are integer solutions and the substitution method requires extensive computations with fractions.
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Identify the quadric surface by name. Find and describe the xy-, xz-, and yz-traces, when they exist.-9x2 - 9y2 + z2 = 9
A. Hyperboloid of two sheets; xy-trace: -9x2 - 9y2 = 9 (circle); xz-trace: z2 - 9x2 = 9 (hyperbola); yz-trace: z2 - 9y2 = 9 (hyperbola) B. Ellipsoid; xy-trace: -9x2 - 9y2 = 9 (circle); xz-trace: z2 - 9x2 = 9 (ellipse); yz-trace: z2 - 9y2 = 9 (ellipse) C. Hyperboloid of two sheets; xz-trace: z2 - 9x2 = 9 (hyperbola); yz-trace: z2 - 9y2 = 9 (hyperbola) D. Hyperboloid of one sheet; xy-trace: -9x2 - 9y2 = 9 (circle); xz-trace: z2 - 9x2 = 9 (hyperbola); yz-trace: z2 - 9y2 = 9 (hyperbola)
Find the absolute and relative errors.The length of the room is 11 feet but you measure it to be 11 feet and 5 inches.
A. absolute error: 5 inches relative error: 3.6% B. absolute error: -5 inches relative error: -3.8% C. absolute error: 5 inches relative error: 4.5% D. absolute error: 5 inches relative error: 3.8%
The figure shows the velocity v or position s of a body moving along a coordinate line as a function of time t . Use the figure to answer the question. v (ft/sec)
What is the body's speed when t = 2 sec?
A. 2 ft/sec B. 3 ft/sec C. 0 ft/sec D. -2 ft/sec
Find the maximum and minimum values of the function and the values of x and y for which they occur.F = 4x + 5y, subject to2x - 4y ? 10,2x + y ? 15,0 ? x ? 9,0 ? y ? 5.
A. Maximum: 75 when x = 0 and y = 15; minimum: 20 when x = 5 and y = 0 B. Maximum: 46 when x = 9 and y = 2; minimum: 33 when x = 7 and y = 1 C. Maximum: 61 when x = 9 and y = 5; minimum: 33 when x = 7 and y = 1 D. Maximum: 75 when x = 0 and y = 15; minimum: 0 when x = 0 and y = 0