Solve the problem.A square wave is built up from sinusoidal curves of varying periods and amplitudes. Graph the following function, which can be used to approximate the square wave.f(x) = 
0 ? x ? 4 
A better approximation to the square wave is given by f(x) = 
src="https://sciemce.com/media/4/ppg__tttt0506191222__f1q18g5.jpg" alt="" style="vertical-align: -18.0px;" />0 ? x ? 4 
Graph this function and compare the result to the previous graph. Adding another term will improve the approximation even more. Write this new function with four terms.
What will be an ideal response?
?
f(x) = 
Mathematics
src="https://sciemce.com/media/4/ppg__tttt0506191222__f1q18g5.jpg" alt="" style="vertical-align: -18.0px;" />0 ? x ? 4 Graph this function and compare the result to the previous graph. Adding another term will improve the approximation even more. Write this new function with four terms.
What will be an ideal response?
| ? | |
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Using Green's Theorem, find the outward flux of F across the closed curve C.F = (6x + 2y)i + (5x - 4y)j; C is the region bounded above by y = -5x2 + 144 and below by 
in the first quadrant
A. 768 B. - 3948 C. - 1128 D. -1144
Sketch the graph of the quadratic function. Give the vertex and axis of symmetry.f(x) = (x - 4)2 + 5
A. vertex (-4, 5); axis of symmetry x = -4
B. vertex (5, 4); axis of symmetry x = 5
C. vertex (-5, -4 ); axis of symmetry x = -5
D. vertex (4, 5); axis of symmetry x = 4
Find the midpoint of the line segment joining the two points.(7
, - 
) and (-
, 0)
A. 
B. ( -5, 10)
C. 
D. 
Determine the vertex, focus, and directrix of the parabola and sketch its graph.x2 - 12x = 8y - 68
A. vertex: (6, 4)
focus: (6, 2)
directrix: y = 6
B. vertex: (6, 4)
focus: (4, 4)
directrix: x = 8
C. vertex: (6, 4)
focus: (6, 6)
directrix: y = 2
D. vertex: (6, 4)
focus: (8, 4)
directrix: x = 4