Making a Function Continuous In Exercises 59-64, find the constant a , or the constants a and b , such that the function is continuous on the entire real number line. f ( x ) = { 3 x 3 , x ≤ 1 a x + 5 , x > 1
Making a Function Continuous In Exercises 59-64, find the constant a , or the constants a and b , such that the function is continuous on the entire real number line. f ( x ) = { 3 x 3 , x ≤ 1 a x + 5 , x > 1
Solution Summary: The author explains how to calculate the value of a for which the given function f(x) is continuous. The left-hand limit should be equal to the right at limit.
Making a Function Continuous In Exercises 59-64, find the constant a , or the constants a and b , such that the function is continuous on the entire real number line.
Do the Laplace Transformation and give the answer in Partial Fractions. Also do the Inverted Laplace Transformation and explain step-by-step.
12. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.3.508.XP.
ASK YOUR TEA
Make a substitution to express the integrand as a rational function and then evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
x + 16
dx
X
Need Help?
Read It
SUBMIT ANSWER
13. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.3.512.XP.
ASK YOUR TEA
Make a substitution to express the integrand as a rational function and then evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
dx
8)(2x + 1)
Need Help?
Read It
SUBMIT ANSWER
14. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.3.518.XP.
Find the area of the region under the given curve from 1 to 5.
y =
x² +7
6x - x²
Need Help?
Read It
ASK YOUR TEA
DETAILS
MY NOTES
SESSCALCET2 6.3.012.
6. [-/1 Points]
Evaluate the integral.
x-4
dx
x²
- 5x + 6
Need Help?
Read It
SUBMIT ANSWER
7. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.3.019.
Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
x²+1
(x-6)(x-5)²
dx
Need Help?
Read It
SUBMIT ANSWER
8. [-/1 Points] DETAILS
MY NOTES
SESSCALCET2 6.3.021.
Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
✓
x²
4
+4
dx
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.