Consider the initial value problem. Find the approximations of y(0.2) and y(0.4) using Euler's method with a time step of  Then using the exact solution given, compute the errors in the Euler approximations at  and  Round answers to five decimal places, do not use intermediate rounding.y'(t) = , y(0) = 8; y(t) = 8et/8

A. ;  

B. ;  

C. ;  

D. ;  


Answer: A

Mathematics

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Find the first four nonzero terms in the Maclaurin series for the function.e4x

A. 1 + 4x +  +  + . . .
B. x + 4x +  +  + . . .
C. 1 + 4x +  +  + . . .
D. 4x + 64x3 + 1024x5 + 16,384x7 + . . .

Mathematics

Find the prime factorization of the composite number.1533

A. 3 × 7 × 73 B. 72 × 73 C. 32 × 73 D. 21 × 73

Mathematics

Provide an appropriate response.Write as an algebraic expression: Half of w

Fill in the blank(s) with the appropriate word(s).

Mathematics

Solve the inequality.Fantastic Flags, Inc., finds that the cost to make x flags is  while the revenue produced from them is (C and R are in dollars). What is the smallest whole number of flags, x, that must be sold for the company to show a profit?

A. 646,280 B. 937,106 C. 279 D. 404

Mathematics