Determine whether the equation defines y as a function of x. y2 = 8 - x2
A. function
B. not a function
Answer: B
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Sketch the vector field in the plane along with its horizontal and vertical components at a representative assortment of points on the circle x2 + y2 = 4.F = -xi - yj
What will be an ideal response?
Change the Cartesian integral to an equivalent polar integral, and then evaluate.
A.
B.
C.
D.
Place your graphing calculator in parametric and degree modes. Set the window for Tmin=0, Tmax=360, Tstep=1, Xmin= -1.8, Xmax=1.8, Xscl=1, Ymin= -1.2, Ymax=1.2, Yscl=1. Set the functions to X1T=cos T, Y1T=sin T. Graph the circle of radius 1 on the screen. Use the trace feature to move a short distance around the circle.As the cosine increases for 0° ? T ? 90°, does the sine increase or decrease?
A. Cannot determine B. Increases C. Decreases
Find the slope of the line containing the pair of points.(5, -8), (5, 7)
A. No slope B. 15 C. -15 D. 0