Use the graphs and functions in Exercises 37-41 to answer each of the following. If an expression does not exist, state that fact. a. Find lim x → 1 h ( x ) . b. Find h ( 1 ) . c. Is h continuous at x = 1 ? Why or why not? d. Find lim x → − 2 h ( x ) . e. Find h ( − 2 ) . f. Is h continuous at x = − 2 ? why or why not?
Use the graphs and functions in Exercises 37-41 to answer each of the following. If an expression does not exist, state that fact. a. Find lim x → 1 h ( x ) . b. Find h ( 1 ) . c. Is h continuous at x = 1 ? Why or why not? d. Find lim x → − 2 h ( x ) . e. Find h ( − 2 ) . f. Is h continuous at x = − 2 ? why or why not?
Solution Summary: The author analyzes the graph of the function h(x).
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.