First, combine like terms:
Now just simplify the coefficients of x and y. We do this by converting each pair of fractions to ones with a common denominator. Then we can combine them easily.
So the simplified expression would be
Step-by-step explanation:
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Answer:
5% compounded quarterly equals (1.0125)^4 -1=0.0509453369140625 or 5.09453369140625 % APR
250*(1.0125)^20=$320.51 at the end of 5 years
Step-by-step explanation:
Answer:
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Answer:
dy/dx = (4 (x + y)^3 - y) / ( x - 4(x + y)^3).
Step-by-step explanation:
xy = (x + y)^4
Using implicit differentiation:
x dy/dx + y*1 = 4 (x + y)^3 * (1 + dy/dx)
x dy/dx + y = 4 (x + y)^3 + 4 dy/dx (x + y)^3
x dy/dx - 4 dy/dx (x + y)^3 = 4 (x + y)^3 - y
dy/dx( x - 4(x + y)^3) = 4 (x + y)^3 - y
dy/dx = (4 (x + y)^3 - y) / ( x - 4(x + y)^3)
