Using the chain rule: The derivative of e^u is (e^u)(u'). Notice that e^u is rewritten exactly as is and then multiplied by the derivative of the exponent.
Let u=2x. So u'=2
So the derivative of e^u is e^(2x)*2 This can also be written as 2e^(2x).
Answer:
38.46%
Step-by-step explanation:
there are a total of 6 + 7 + 10 + 3 = 26 stamps in marge's collection
out of these 26 stamps, 10 are from the United States (Marge's home country) and 16 are from foreign countries. If she picks a random stamp, the probability that it is from the United States = 10/26 = 5/13 = 0.3846 = 38.46%
Step-by-step answer:
We are looking at the coefficient of the 22nd term of (x+y)^25.
Following the sequence, first term is x^0y^25, second term is x^1y^24, third term is x^2y^23...and so on, 22nd term is x^21y^4.
The twenty-second term of (x+y)^25 is given by the binomial theorem as
( 25!/(21!4!) ) x^21*y^4
=25*24*23*22/4! x^21y^4
= 12650 x^21 y^4
The coefficient required is therefore 12650, for a binomial with unit valued coefficients.
For other binomials, substitute the values for x and y and expand accordingly.
Question would have been more clearly stated if the actual binomial was given, as commented above.
Answer:
1/13
Step-by-step explanation:
y is proportional to x ⇒ y = kx
Plug in (26,2) and solve for k:
2 = k·26
k = 2/26 = 1/13
X% of $28,600 is $33,500
x/100 * 28,600 = 33,500
x = 33,500 * 100 / 28,600
x = 117.13% = 117%
117% - 100% = 17%
The answer would be 17%.
Glad to help :)
