Math 110 Exam 3 T/F
The derivative of e9x is equal to e9x. - Answers -false
The derivative of ex f(x) is equal to ex [f(x) + f '(x)] - Answers -true
ln(54) − ln(12) is equal to ln(9) − ln(2). - Answers -true
ln(ab) = ln(a) + ln(b) for all a,b > 0 - Answers -true
/x^ndx=(1/n+1)x^n+1 + C for all n - Answers -false
lim x→−∞ e^−x9 - Answers -infinity
lim x→∞ e^−x3 - Answers -0
lim x→0+ e^8/x - Answers -infinity
lim x→0− e^4/x - Answers -0
lim x→∞ e^5/x - Answers -1
ln(a + b) = ln(a)ln(b) for all a,b > 0 - Answers -false
ln(a·b) = ln(a) + ln(b) for all a,b > 0 - Answers -true
ln(a + b) = ln(a) + ln(b) for all a,b > 0 - Answers -false
ln(a/b) = ln(a)/ln(b) for all a,b > 0 - Answers -false
ln(1/a) = −ln(a) for all a > 0 - Answers -true
ln(x^4) = 4ln(x) for all x - Answers -false
$2000 invested at 2% compounded monthly earns more interest in a year than the
same amount invested at 2% compounded weekly. - Answers -false
$2000 invested at 2% compounded continuously earns more interest in a year than the
same amount invested at 2% compounded monthly. - Answers -true
The present value of $3000 7 years from now invested at 5% compounded monthly is
less than the present value of $3000 7 years from now invested at 5% compounded
continuously. - Answers -false
The derivative of e9x is equal to e9x. - Answers -false
The derivative of ex f(x) is equal to ex [f(x) + f '(x)] - Answers -true
ln(54) − ln(12) is equal to ln(9) − ln(2). - Answers -true
ln(ab) = ln(a) + ln(b) for all a,b > 0 - Answers -true
/x^ndx=(1/n+1)x^n+1 + C for all n - Answers -false
lim x→−∞ e^−x9 - Answers -infinity
lim x→∞ e^−x3 - Answers -0
lim x→0+ e^8/x - Answers -infinity
lim x→0− e^4/x - Answers -0
lim x→∞ e^5/x - Answers -1
ln(a + b) = ln(a)ln(b) for all a,b > 0 - Answers -false
ln(a·b) = ln(a) + ln(b) for all a,b > 0 - Answers -true
ln(a + b) = ln(a) + ln(b) for all a,b > 0 - Answers -false
ln(a/b) = ln(a)/ln(b) for all a,b > 0 - Answers -false
ln(1/a) = −ln(a) for all a > 0 - Answers -true
ln(x^4) = 4ln(x) for all x - Answers -false
$2000 invested at 2% compounded monthly earns more interest in a year than the
same amount invested at 2% compounded weekly. - Answers -false
$2000 invested at 2% compounded continuously earns more interest in a year than the
same amount invested at 2% compounded monthly. - Answers -true
The present value of $3000 7 years from now invested at 5% compounded monthly is
less than the present value of $3000 7 years from now invested at 5% compounded
continuously. - Answers -false
