A waste water system is being installed in a small town.The large pipes required to reach from the town to the water treatment plant come in 20-foot and 24-foot lengths. The city planner finds that twelve fewer of the 24-foot pipes will be required than if the 20-foot pipes were used. What is the distance from the town to the water treatment plant?
What will be an ideal response?
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Find the unit tangent vector of the given curve.r(t) = 3t5i - 12t5j + 4t5k
A. T = 
i + 
j + 
k
B. T = 
i - 
j - 
k
C. T = 
i - 
j + 
k
D. T = 
i - 
j + 
k
For the given equation, do the following:(a) Simplify the expression on each side of the equal sign. (b) See if 5 is a solution to both the given equation and the equation formed in part (a).x2 + 4x2 = 17x + 8x
A. (a) 5x2 = 30x; (b) 5 only checks in the given equation. B. (a) 5x2 = 25x; (b) 5 does not check in either equation. C. (a) 4x2 = 25x; (b) 5 only checks in the given equation. D. (a) 5x2 = 25x; (b) 5 checks in both equations.
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) = src="https://sciemce.com/media/4/ppg__tttt0523191237__f1q18g5.jpg" alt="" style="vertical-align: -17.0px;" />0 ? x ? 4 
0 ? x ? 4 
A better approximation to the square wave is given by f(x) = 
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?
Subtract.3 - 5
A. 8 B. -2 C. 2 D. -8