Math HW Help (multiple problems)?

Posted on 2017-09-05 18:24:00 in Math by KYLEN

1. Suppose voltage in the U.S. is represented by the function VU(t) = 155sin(120⇡t), where t is 
measured in seconds, and voltage in Belgium is VB(t) = 340 sin(100⇡t). Find the maximum 
voltage and number of cycles per second in the two countries. 
(Hint: sin t has 1/(2⇡) cycles per second because its period is 2⇡.) 

2. A 15-ft ladder leaning against a wall forms an angle of ✓ with the ground, 0 < ✓ < ⇡/2. The base 
of the ladder is b feet from the wall. The top of the ladder meets the wall h feet above the ground. 
(a) For what value of h will sec ✓ = 3/2? 
(b) What values of ✓ will satisfy h/b < p3? 
(c) For what value(s) of ✓ will 4 cos ✓ 
tan ✓ 
= 3csc✓? 

3. Buffs Mobile offers a data plan with a monthly charge of $45 for the first 500 mb of use, plus $10 
for each additional 100 mb (rounded up to the nearest 100 mb). For example, if a customer uses 0 
or 500 mb of data the cost is $45, and if she uses 501 mb the cost is $55. 
(a) Express the monthly cost C(m) in dollars as a function of the number m of megabytes used, 
0  m  1000. 
(b) Sketch a graph of C(m) with tick marks clearly labeled. 

4. Rapunzel is 18 years old today and her hair is 70 ft long. Her hair was 2 inches long at birth, then 
grew at a constant rate until it reached 40 ft in length on her 12th birthday. Since then Rapunzel’s 
hair has grown at a different constant rate. Express Rapunzel’s hair length H, in feet, as a function 
of her age, t, in years. 

Certain symbols didnt copy over. use ones i have so can follow along

---

Answer Comment

No Answers Posted Yet.