Solve the problem

x'=-x , x(0)=1

bu using the trapezoid rule. compare the true solution at t=1 to the approximate solution obtained with n steps.

show , for example, that for n=5, the error is 0.00123.

there is answer of this question in page, but it is not correct. so i want the correct answer and explanation.

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.

a

step-by-step explanation:

answer:   c ?

step-by-step explanation: