Concept explainers
(a)
h as the function of t.
(a)

Answer to Problem 92E
The vertical line cross the graph at one points, hence, the given relation define
Explanation of Solution
Given:
The function then it is not possible for a vertical line to cross a graph more than once else the graph is not the graph of a function
Calculation:
The graph represents the height
If a given graph is a function then it is not possible for a vertical line to cross a graph more than once else the graph is not the graph of a function.
To understand the crossing at two points means for a given input for getting two outputs or two
Now, draw random parallel line to check whether it is function or not.
Clearly here the vertical line cross the graph at one points, hence, the given relation define
Conclusion:
The vertical line cross the graph at one points, hence, the given relation define
(b)
The height of the projectile after 0.5 second and after 1.25 seconds.
(b)

Answer to Problem 92E
The height of projectile after 0.5 second and after 1.25 second is between 20 and 29.
Explanation of Solution
Given:
The function then it is not possible for a vertical line to cross a graph more than once else the graph is not the graph of a function
Calculation:
To find the height of projectile after 0.5 second and after 1.25 seconds, draw line parallel to haxis at
From the above graph it is very clear that the height of projectile after 0.5 second and after 1.25 second is between 20 and 29. At t = 1.25 the height is at maximum point; after that it starts decreasing.
Conclusion:
The height of projectile after 0.5 second and after 1.25 second is between 20 and 29.
(c)
The domain of h.
(c)

Answer to Problem 92E
The domain is
Explanation of Solution
Given:
The function then it is not possible for a vertical line to cross a graph more than once else the graph is not the graph of a function
Calculation:
The domain is the set of all
Therefore the domain is
Conclusion:
The domain is
(d)
t as function of h.
(d)

Answer to Problem 92E
The given relation doesn’t define
Explanation of Solution
Given:
The function then it is not possible for a vertical line to cross a graph more than once else the graph is not the graph of a function
Calculation:
Draw random line parallel t- axis
Clearly here the horizontal line cross the graph at two points, hence, the given relation doesn’t define
Conclusion:
The given relation doesn’t define
Chapter 1 Solutions
EBK PRECALCULUS W/LIMITS
- Which of the following is the general solution to y′′ + 4y = e^2t + 12 sin(2t) ?A. y(t) = c1 cos(2t) + c2 sin(2t) + 1/8 e^2t − 3t cos(2t)B. y(t) = c1e^2t + c2e^−2t + 1/4 te^2t − 3t cos(2t)C. y(t) = c1 + c2e^−4t + 1/12 te^2t − 3t cos(2t)D. y(t) = c1 cos(2t) + c2 sin(2t) + 1/8 e^2t + 3 sin(2t)E. None of the above. Please include all steps! Thank you!arrow_forwardShow that i cote +1 = cosec 20 tan 20+1 = sec² O २ cos² + sin 20 = 1 using pythagon's theoremarrow_forwardFind the general solution to the differential equationarrow_forward
- charity savings Budget for May travel food Peter earned $700 during May. The graph shows how the money was used. What fraction was clothes? O Search Submit clothes leisurearrow_forwardExercise 11.3 A slope field is given for the equation y' = 4y+4. (a) Sketch the particular solution that corresponds to y(0) = −2 (b) Find the constant solution (c) For what initial conditions y(0) is the solution increasing? (d) For what initial conditions y(0) is the solution decreasing? (e) Verify these results using only the differential equation y' = 4y+4.arrow_forwardAphids are discovered in a pear orchard. The Department of Agriculture has determined that the population of aphids t hours after the orchard has been sprayed is approximated by N(t)=1800−3tln(0.17t)+t where 0<t≤1000. Step 1 of 2: Find N(63). Round to the nearest whole number.arrow_forward
- 3. [-/3 Points] DETAILS MY NOTES SCALCET8 7.4.032. ASK YOUR TEACHER PRACTICE ANOTHER Evaluate the integral. X + 4x + 13 Need Help? Read It SUBMIT ANSWER dxarrow_forwardEvaluate the limit, and show your answer to 4 decimals if necessary. Iz² - y²z lim (x,y,z)>(9,6,4) xyz 1 -arrow_forwardlim (x,y) (1,1) 16x18 - 16y18 429-4y⁹arrow_forward
- Evaluate the limit along the stated paths, or type "DNE" if the limit Does Not Exist: lim xy+y³ (x,y)(0,0) x²+ y² Along the path = = 0: Along the path y = = 0: Along the path y = 2x:arrow_forwardshow workarrow_forwardA graph of the function f is given below: Study the graph of ƒ at the value given below. Select each of the following that applies for the value a = 1 Of is defined at a. If is not defined at x = a. Of is continuous at x = a. If is discontinuous at x = a. Of is smooth at x = a. Of is not smooth at = a. If has a horizontal tangent line at = a. f has a vertical tangent line at x = a. Of has a oblique/slanted tangent line at x = a. If has no tangent line at x = a. f(a + h) - f(a) lim is finite. h→0 h f(a + h) - f(a) lim h->0+ and lim h h->0- f(a + h) - f(a) h are infinite. lim does not exist. h→0 f(a+h) - f(a) h f'(a) is defined. f'(a) is undefined. If is differentiable at x = a. If is not differentiable at x = a.arrow_forward
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning





