Find the partial derivative.Let f(x, y) = 10x - 7y2 - 5. Find fx.
A. -14y
B. 10x
C. 10
D. 5
Answer: C
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Find the intervals on which the function is increasing and the intervals on which the function is decreasing.f(x) = -2x2 + 3x + 6
A. Increasing on 
; decreasing on 
B. Increasing on 
; decreasing on 
C. Increasing on (-?, 0); decreasing on ( 0, ?)
D. Increasing on (-?, 1); decreasing on ( -1, ?)
Solve the differential equation.y ' + y tan x = cos x, -?/2 < x < ?/2
A. y = x sin x + c sin x, -?/2 < x < ?/2 B. y = x sin x + c cos x, -?/2 < x < ?/2 C. y = x cos x + c sin x, -?/2 < x < ?/2 D. y = x cos x + c cos x, -?/2 < x < ?/2
Find the slope and the y-intercept of the given line.y = -4x + 7
A. -4, (0, -7) B. 7, (0, -4) C. -7, (0, -4) D. -4, (0, 7)
Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting.f(x) = |-x|
A. 
B. 
C. 
D. 