Find the area between the curves y = e^-0.7x and y = 2.1x + 1 from x = 0 to x =1.

fortdefruitI

fortdefruitI

Answered question

2020-11-27

Find the area between the curves y=e0.7xandy=2.1x+1 from x = 0 to x =1.

Answer & Explanation

Luvottoq

Luvottoq

Skilled2020-11-28Added 95 answers

y=2.1x+1,then f(x)=2.1x+1
y=e0.7x,then g(x)=e(0.7x)
01(f(x)g(x))dx=01(2.1x+1e0.7x)dx=
=[1.05x2+x+e0.7x0.7]01=1.05(1)2+1+e0.7x0.71.05(0)20e0.7x0.7=
=1.05+1+e0.7x0.710.7=2.05

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