Find the power series representation for f(x).f(x) = e4x
A. 1 - 4x + 
- 
+ . . .
B. 4 - x + 
- 
+ . . .
C. 4 + 4x + 
+ 
+ . . .
D. 1 + 4x + 
+ 
+ . . .
Answer: D
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Convert to a logarithmic equation.100.8451 = 7
A. 10 = log 9 0.8451 B. 0.8451 = log 10 7 C. 0.8451 = log 9 10 D. 7 = log 10 0.8451
Write the formula for Newton's method and use the given initial approximation to compute the approximations x1 and x2. Round to six decimal places.f(x) = x2 - 20; x0 = 5
A. xn+1 = xn + 
; x1 = 4.500000, x2 = 4.472222
B. xn+1 = xn - 
; x1 = 5.500000, x2 = 3.472222
C. xn+1 = 
; x1 = 5.000000, x2 = 4.972222
D. xn+1 = 
; x1 = 4.500000, x2 = 4.472222
Use least common multiple or greatest common divisor to solve the problem.A brick layer is hired to build three walls of equal length. He has bricks which are 4 inches, 12 inches, and 10 inches long. He plans to build one wall out of each type of brick. What is the shortest length of wall possible?
A. 26 inches B. 60 inches C. 480 inches D. 120 inches
Solve.Wind resistance or atmospheric drag tends to slow down moving objects. Atmospheric drag varies jointly as an object's surface area A and velocity v. If a car traveling at a speed of 40 mph with a surface area of 35 ft2 experiences a drag of 168 N (Newtons), how fast must a car with 49 ft2 of surface area travel in order to experience a drag force of 388.08 N?
A. 63 mph B. 68 mph C. 71 mph D. 66 mph