Solve the initial value problem.
= cos t - sin t, s
= 10
A. s = sin t - cos t + 9
B. s = 2sin t + 8
C. s = sin t + cos t + 9
D. s = sin t + cos t + 11
Answer: C
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The question(s) that follow refer to the problem of finding the minimum spanning tree for the weighted network shown below.
The total weight of the maximum spanning tree is
A. 132. B. 124. C. 40. D. 116. E. none of these
Solve the problem.Strontium 90 decays at a constant rate of 2.44% per year. Therefore, the equation for the amount P of strontium 90 after t years is P = P0 e-0.0244t. How long will it take for 15 grams of strontium to decay to 5 grams? Round answer to 2 decimal places.
A. 45.03 years. B. 450.25 years C. 4.50 years D. 40.50 years
Find the sum of the geometric series.
Round the answer to four decimal places when necessary.
A. 2994.3285 B. 270.9561 C. 5272.318 D. 2636.159
Solve the problem.The pH scale is used by chemists to measure the acidity of a solution. It is a base 10 logarithmic scale. The pH, P, of a solution and its hydronium ion concentration in moles per liter, H, are related as follows: H = 10-PFind the formula for the rate of change 
.
A. 
= -(ln P)10-P
B. 
= (ln 10 )10-P
C. 
= - 
D. 
= -(ln 10 )10-P