PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
8th Edition
ISBN: 9781337904285
Author: Larson
Publisher: CENGAGE L
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Question
Chapter 3.2, Problem 107E
a.
To determine
To graph:
The given function using a graphing utility.
a.
Expert Solution
Answer to Problem 107E
The graph of our given function would be:
Explanation of Solution
Given:
A function: 
Calculation:
Upon graphing the given functionusing a graphing utility, we will get our required graph as shown below:
b.
To determine
To find:
The domain of the given function.
b.
Expert Solution
Answer to Problem 107E
The domain of our given logarithmic function would be 
Explanation of Solution
Given:
A function: 
Calculation:
We know that logarithmic functions are not defined for negative values and radical functions are defined for non-negative numbers. To find domain of our given function, we will set argument of radical function greater than or equal to 0 as:
Therefore, the domain of our given logarithmic function would be 
or 
c.
To determine
To find:
Open intervals on which the given function is increasing and decreasing using the graph of function.
c.
Expert Solution
Answer to Problem 107E
The function is increasing on interval 
Explanation of Solution
Given:
A function: 
Calculation:
Upon looking at graph of our given function, we can see that the given function never decreases. The function is increasing from 1 to positive infinity.
Therefore, the function is increasing on interval 
d.
To determine
To approximate:
The
d.
Expert Solution
Answer to Problem 107E
The relative minimum of the given function is 
Explanation of Solution
Given:
A function: 
Calculation:
We can see from our given graph that there is no maximum value for our given function.
We can see that the minimum value of our given function occurs at 
that is 
Therefore, the relative minimum of the given function is 
Chapter 3 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
Ch. 3.1 - Prob. 1ECh. 3.1 - Prob. 2ECh. 3.1 - Prob. 3ECh. 3.1 - Prob. 4ECh. 3.1 - Prob. 5ECh. 3.1 - Prob. 6ECh. 3.1 - Prob. 7ECh. 3.1 - Prob. 8ECh. 3.1 - Prob. 9ECh. 3.1 - Prob. 10E
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- Q1. Will you earn more interest amount in two years by depositing $2000 in a simple interest account that pays 6% or in an account that pays 6.15% interest compounded monthly? tarrow_forwardQ4. We want to invest $18000 in an account compounded continuously. How long should the investment be kept so final value of the account reaches $25000 if the annual rate of interest is 5.8%?arrow_forwardQ3. Determine the effective annual yield for each investment below. Then select the better investment. Assume 365 days in a year. a) 5.6% compounded semiannually; b) 5.4% compounded daily.arrow_forward
- Q2. You deposit $22,000 in an account that pays 4.8% interest compounded monthly. a. Find the future value after six years. & b b. Determine the effective annual yield of this account.arrow_forward18. Using the method of variation of parameter, a particular solution to y′′ + 16y = 4 sec(4t) isyp(t) = u1(t) cos(4t) + u2(t) sin(4t). Then u2(t) is equal toA. 1 B. t C. ln | sin 4t| D. ln | cos 4t| E. sec(4t)arrow_forwardQuestion 4. Suppose you need to know an equation of the tangent plane to a surface S at the point P(2, 1, 3). You don't have an equation for S but you know that the curves r1(t) = (2 + 3t, 1 — t², 3 − 4t + t²) r2(u) = (1 + u², 2u³ − 1, 2u + 1) both lie on S. (a) Check that both r₁ and r2 pass through the point P. 1 (b) Give the expression of the 074 in two ways Ət ⚫ in terms of 32 and 33 using the chain rule მყ ⚫ in terms of t using the expression of z(t) in the curve r1 (c) Similarly, give the expression of the 22 in two ways Əz ди ⚫ in terms of oz and oz using the chain rule Əz მყ • in terms of u using the expression of z(u) in the curve r2 (d) Deduce the partial derivative 32 and 33 at the point P and the equation of მე მყ the tangent planearrow_forward
- Coast Guard Patrol Search Mission The pilot of a Coast Guard patrol aircraft on a search mission had just spotted a disabled fishing trawler and decided to go in for a closer look. Flying in a straight line at a constant altitude of 1000 ft and at a steady speed of 256 ft/s, the aircraft passed directly over the trawler. How fast (in ft/s) was the aircraft receding from the trawler when it was 1400 ft from the trawler? (Round your answer to one decimal places.) 1000 ft 180 × ft/s Need Help? Read It SUBMIT ANSWERarrow_forward6. The largest interval in which the solution of (cos t)y′′ +t^2y′ − (5/t)y = e^t/(t−3) , y(1) = 2, y′(1) = 0is guaranteed to exist by the Existence and Uniqueness Theorem is:A. (0, ∞) B. (π/2, 3) C. (0,π/2) D. (0, π) E. (0, 3)arrow_forward12. For the differential equation in the previous question, what is the correct form for a particularsolution?A. yp = Ae^t + Bt^2 B. yp = Ae^t + Bt^2 + Ct + DC. yp = Ate^t + Bt^2 D. yp = Ate^t + Bt^2 + Ct + D Previous differential equation y′′ − 4y′ + 3y = e^t + t^2arrow_forward
- 16. The appropriate form for the particular solution yp(x) of y^(3) − y′′ − 2y′ = x^2 + e^2x isA. yp(x) = Ax^2 + Bx + C + De^2x B. yp(x) = Ax^3 + Bx^2 + Cx + Dxe^2xC. yp(x) = Ax^2 +Be^2x D. yp(x) = A+Be^2x +Ce^−x E. yp(x) = Ax^2 +Bx+C +(Dx+E)e^2xarrow_forwardDistance Between Two Ships Two ships leave the same port at noon. Ship A sails north at 17 mph, and ship B sails east at 11 mph. How fast is the distance between them changing at 1 p.m.? (Round your answer to one decimal place.) 20.3 X mph Need Help? Read It Watch It SUBMIT ANSWERarrow_forwardpractice problem please help!arrow_forward
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