1) what interest rate, compounded continuously, will triple the size of your account in 5 years, to the nearest percent
2)express log(7)13 in terms of natural logarithms
3)express 13^n as a power of e
4)differentiate:
Y=log(2x)
Y=x2^x
Any help is appretiated
2)express log(7)13 in terms of natural logarithms
3)express 13^n as a power of e
4)differentiate:
Y=log(2x)
Y=x2^x
Any help is appretiated
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1) 3A = A e^(x)
3 = e^x
ln 3 = x
1.0986... = x
1.10%
2) log_7 13 = ln 13/ln 7
3) 13^n = e^x
n ln 13 = x
4) y = log (2x)
dy/dx = 1/(2x) • 2/ ln 10 = 2/(2x ln 10) = 1/(x ln 10)
y = x 2^x
dy/dx = 2^x ln 2 + x 2^x
3 = e^x
ln 3 = x
1.0986... = x
1.10%
2) log_7 13 = ln 13/ln 7
3) 13^n = e^x
n ln 13 = x
4) y = log (2x)
dy/dx = 1/(2x) • 2/ ln 10 = 2/(2x ln 10) = 1/(x ln 10)
y = x 2^x
dy/dx = 2^x ln 2 + x 2^x