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]
Find y' and y" using 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
Answer:
23/35
Step-by-step explanation:
Probability ratio will be expresses with denominators of 12+7+16=35
Probability of selecting carmel is 12/35
Probability of selecting mints is 7/35=1/5
Probability of selecting chocolates is 16/35
Probability of not selecting a carmel will be given by 1-probability of selecting a carmel since maximum probability is always 1 or 100%
Probability of not selecting a camel will be 1-12/35=35/35-12/35=23/35
Alternatively, the probability of not selecting a carmel is equivalent to the sum of probability of either selecting a dark chocolate or mint which will be 7/35+16/35=23/35
The answers are the same, 23/35
Answer:
approximately 32
Step-by-step explanation:
Answer:5 and -5
Step-by-step explanation:
There's not really any steps but absolute value is the number of spaces a numerical value is from 0 so 5 is 5 spaces away and -5 is also 5 spaces away -3 is 3 spaces away and 8 is 8 spaces away.
0.1 × 60,000 = 10x. Combine the terms on the left side of the equation.
6,000 = 10x. Divide each side by 10.
600 = x
