PEMDAS!!
or an easy way to remember it is Please Excuse My Dear Aunt Sally
which stands for Parentheses, Exponent, Multiplication, Division, Addition, and Subtraction Go in order from p to s from left to right as you would read it
Parentheses first (9-3^2) start with the exponent 3^2=9 then subtract
(9-9)=0 so now we have 2+6(0)-2 Multiply next so 6(0)=0 then we have 2+0-2
next add 2+0=2 then we have 2-2 then subtract 2-2=0 so the overall answer is 0
but you have multiply, added, and subtracted throughout the process
Answer:
C
Step-by-step explanation:
evaluate each
3(20-12)=48
3(8)=48
24=48 FALSE
3(12-12)=3
3(0)=3
0=3 FALSE
2(12-3)=18
2(9)=18
18=18 TRUE
5(12)-3=58
60-3=58
57=58 FALSE
Answer:
y=2e^(−x)cosx−e^(−x)sinx
Satisfies the equation
Step-by-step explanation:
Answer:
y=2e^(−x)cosx−e^(−x)sinx
y = e^(-x)[2cosx - sinx]
y': product law
y' = -e^(-x)[2cosx - sinx] + e^(-x)[-2sinx - cosx]
y' = -e^(-x)[2cosx - sinx + 2sinx + cosx]
y' = -e^(-x)[3cosx + sinx]
y" = e^(-x)[3cosx + sinx] - e^(-x)[-3sinx + cosx]
y" = e^(-x)[3cosx - cosx + sinx + 3sinx]
y" = e^(-x)[2cosx + 4sinx]
y" + 2y' + 2y
e^(-x)[2cosx + 4sinx] - 2e^(-x)[3cosx + sinx] +2e^(-x)[2cosx - sinx]
e^(-x)[4sinx - 2sinx - 2sinx + 2cosx - 6 cosx + 4cosx]
= e^(-x) × 0
= 0
the volume scales by (1/10)^3. so it would be 48.875*10^-3.