Math 110 Exam 3 Answered
(x + 5)2 and x(x + 10) are both antiderivatives of 2x + 10 on the interval (−∞,∞). -
ANSWER-true
/x^ndx=(1/n+1)x^n+1 + C for all n - ANSWER-false
$2000 invested at 2% compounded continuously earns more interest in a year than the
same amount invested at 2% compounded monthly. - ANSWER-true
$2000 invested at 2% compounded monthly earns more interest in a year than the
same amount invested at 2% compounded weekly. - ANSWER-false
4e^4x is an antiderivative of e^4x on the interval (−∞,∞). - ANSWER-false
If f'(x) = g'(x) on the interval (a,b), then f(x) = g(x) on (a,b). - ANSWER-false
lim x→−∞ e^−x9 - ANSWER-infinity
lim x→∞ e^−x3 - ANSWER-0
lim x→∞ e^5/x - ANSWER-1
lim x→0+ e^8/x - ANSWER-infinity
lim x→0− e^4/x - ANSWER-0
ln(1/a) = −ln(a) for all a > 0 - ANSWER-true
ln(2x) and ln(6x) are both antiderivatives of 1/x on the interval (0,∞). - ANSWER-true
ln(54) − ln(12) is equal to ln(9) − ln(2). - ANSWER-true
ln(a + b) = ln(a) + ln(b) for all a,b > 0 - ANSWER-false
ln(a + b) = ln(a)ln(b) for all a,b > 0 - ANSWER-false
ln(a·b) = ln(a) + ln(b) for all a,b > 0 - ANSWER-true
ln(a/b) = ln(a)/ln(b) for all a,b > 0 - ANSWER-false
ln(ab) = ln(a) + ln(b) for all a,b > 0 - ANSWER-true
ln(x^4) = 4ln(x) for all x - ANSWER-false
(x + 5)2 and x(x + 10) are both antiderivatives of 2x + 10 on the interval (−∞,∞). -
ANSWER-true
/x^ndx=(1/n+1)x^n+1 + C for all n - ANSWER-false
$2000 invested at 2% compounded continuously earns more interest in a year than the
same amount invested at 2% compounded monthly. - ANSWER-true
$2000 invested at 2% compounded monthly earns more interest in a year than the
same amount invested at 2% compounded weekly. - ANSWER-false
4e^4x is an antiderivative of e^4x on the interval (−∞,∞). - ANSWER-false
If f'(x) = g'(x) on the interval (a,b), then f(x) = g(x) on (a,b). - ANSWER-false
lim x→−∞ e^−x9 - ANSWER-infinity
lim x→∞ e^−x3 - ANSWER-0
lim x→∞ e^5/x - ANSWER-1
lim x→0+ e^8/x - ANSWER-infinity
lim x→0− e^4/x - ANSWER-0
ln(1/a) = −ln(a) for all a > 0 - ANSWER-true
ln(2x) and ln(6x) are both antiderivatives of 1/x on the interval (0,∞). - ANSWER-true
ln(54) − ln(12) is equal to ln(9) − ln(2). - ANSWER-true
ln(a + b) = ln(a) + ln(b) for all a,b > 0 - ANSWER-false
ln(a + b) = ln(a)ln(b) for all a,b > 0 - ANSWER-false
ln(a·b) = ln(a) + ln(b) for all a,b > 0 - ANSWER-true
ln(a/b) = ln(a)/ln(b) for all a,b > 0 - ANSWER-false
ln(ab) = ln(a) + ln(b) for all a,b > 0 - ANSWER-true
ln(x^4) = 4ln(x) for all x - ANSWER-false
