Provide an appropriate response.Write the following sum using summation notation: 
- 
a + 
a2 - 
a3 . . . + 
a14
What will be an ideal response?
an - 1
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Use a calculator or computer program to approximate the value of y(T) using Euler's method with the given time step on the interval [0, T]. Then, using the exact solution given, find the error in the approximation to y(T) (only at the right endpoint of the time interval). Round answers to five decimal places, do not use intermediate rounding.y'(t) = 
, y(0) = 6; ?t = 0.2, T = 1; y(t) = 
A. y(1) ? 6.08276; 0.01662 B. y(1) ? 6.09938; 0.01662 C. y(1) ? 6.09938; 6.08276 D. y(1) ? 6.09938; 0.20000
Integrate the function.
A. 
sin4 x - 
cos8 x + C
B. 
+ C
C. 
sin6 x - 
sin8 x + C
D. 
cos4 x - 
cos6 x + C
Write in expanded notation.Deborah withdraws $37 from her account. She requests the minimum number of bills in one- and ten-dollar bills. Describe the quantity of each denomination of bills the teller must give Deborah.
A. 6 five-dollar bills, 7 one-dollar bills B. 7 ten-dollar bills, 3 one-dollar bills C. 3 ten-dollar bills D. 3 ten-dollar bills, 7 one-dollar bills
Solve the problem.If h = -16t2 + 192t represents the height of a firework, in feet, t seconds after is was fired, when will the firework be 576 feet high?
A. 96 sec B. -6 sec C. 6 sec D. 36 sec