Consider the inverse sine function, defined by y = sin x or y = arcsinx. Complete...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Consider the inverse sine function, defined by y = sin x or y = arcsinx. Complete parts (a) through (d). (a) What is its domain? (Type your answer in interval notation. Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) (b) What is its range? (Type your answer in interval notation. Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) (c) Is this function increasing or decreasing? O increasing O decreasing (d) Why is arcsin (-2) not defined? O O -2 is not in the range -2 is not in the domain Click to select your answer(s). Consider the inverse sine function, defined by y = sin x or y = arcsinx. Complete parts (a) through (d). (a) What is its domain? (Type your answer in interval notation. Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) (b) What is its range? (Type your answer in interval notation. Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) (c) Is this function increasing or decreasing? O increasing O decreasing (d) Why is arcsin (-2) not defined? O O -2 is not in the range -2 is not in the domain Click to select your answer(s).
Expert Answer:
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
Consider the two separate samples below. Complete parts a through d. Sample 1 23 15 30 21 39 11 25 12 10 14 Sample 2 10 21 14 3 16 12 19 13 10 123 a. Calculate the range, variance, standard...
-
Find the derivative of the inverse sine function using Theorem 3.23.
-
Function Alternative Notation Domain Range 1. y = arcsin x ___________ ______ - / 2 y / 2 2. _______ y = cos 1 x - 1 x 1 ______ 3. y = arctan x ________ ______ _______0 4. A trigonometric...
-
In Exercises use the differential equation and the specified initial condition to find y. dy dx || 1 4 - x y(0) = -
-
The Rustic Welt Company is proposing to replace its old welt-making machinery with more modern equipment. The new equipment costs $9 million (the existing equipment has zero salvage value ). The...
-
Solve Prob. 104 using Mohrs circle. Problem: 10-4 Solve Prob. 103 for an element oriented θ = 30° clockwise.
-
Which item appears on a statement of cash flow's prepared by the indirect method? a. Payments to suppliers b. Payments of income tax c. Depreciation d. Collections from customers
-
A publishing house publishes three weekly magazinesDaily Life, Agriculture Today, and Surfs Up. Publication of one issue of each of the magazines requires the following amounts of production time and...
-
What is a high-priced item specifically from the Asia market that is at a reduced price to the Western market? What are your thoughts about the virtual tour available in the niche markets of other...
-
Wayland Custom Woodworking is a firm that manufactures custom cabinets and woodwork for business and residential customers. Students will have the opportunity to establish payroll records and to...
-
One of Example Ltds main competitor has been inciting a price war as they managed to import cheap products that are well below Example Ltds full product cost. A production manager of Example Ltds has...
-
Assume that Water Source Inc. has been purchasing a component necessary for its final product for $360 a unit. The factory is currently operating at 80% capacity, and no major increase in production...
-
What is the implication of a married couple living apart for income splitting?
-
You and a co-worker are assisting a client in the shower. You go to the client's room to get her sweater. When you return, you enter the shower room and see your co-worker spraying the client in the...
-
What is the appropriate journal entry for default in payment? Explain.
-
Why is potential gross rent important to the investor's decision making process and give an example.
-
A client wants to donate five widgets (set up as inventory items) to a charity. In the item setup, the cost is $5 and the sales price is $10. Fifty widgets were originally purchased at $6 per widget....
-
What mass of KBr (in grams) should you use to make 350.0 mL of a 1.30 M KBr solution?
-
An industrial sales manager, testing the effectiveness of three different sales presentations, randomly selected a presentation to be used when making the next sales call on 14 customers. The numbers...
-
Using the sample results in Exercise 10.76, construct and interpret the 90% confidence interval for the population proportion. Is the hypothesized proportion (0.41) within the interval? Given the...
-
The dean of a law school has developed a regression equation for estimating the starting salary (thousands of dollars) of a new graduate on the basis of two independent variables: x1 = the score...
-
Derive an expression for the time at which the response of a critically damped system will attain its maximum value. Also find the expression for the maximum response.
-
A simple pendulum is found to vibrate at a frequency of \(0.5 \mathrm{~Hz}\) in a vacuum and \(0.45 \mathrm{~Hz}\) in a viscous fluid medium. Find the damping constant, assuming the mass of the bob...
-
A heavy disk of mass moment of inertia \(J\) is attached at the middle of a circular shaft of length \(l\) and diameter \(d\) as shown in Fig. 2.113. By modeling the system as a...
Study smarter with the SolutionInn App