Prove that function f given by f(x) = log (cos x) is strict TC and strictly...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Prove that function f given by f(x) = log (cos x) is strict TC and strictly increasing on (₁₁ TO 2 decreasing on 0, (0, 7) 2 Prove that function f given by f(x) = log (cos x) is strict TC and strictly increasing on (₁₁ TO 2 decreasing on 0, (0, 7) 2
Expert Answer:
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
Suppose that f is continuous and strictly increasing on [0,1] with f(0) = 0 and f(1) = 1, if Calculate f(x) dx = 2 57 /0 f(y) dy.
-
The random variable X has density function f given by (a) Determine K in terms of θ. (b) Find FX(b), the CDF of X. (c) Find E(X). (d) Suppose for OS vs 0. elsewhere.
-
Show that the function f given by f (x) = |x| is continuous on R n . Consider |x - a| 2 = (x - a) (x - a).]
-
The curve known as the Bernoulli spiral (Figure 7) has parametrization r(t) = (e t cos 4 t , e t sin 4t). (a) Evaluate s(1) = ||' (u) du. It is convenient to take lower limit -co because _lim_r(1) =...
-
The weldment shown in the figure is subjected to an alternating force F. The hot-rolled steel bar has a thickness h and is of AISI 1010 steel. The vertical support is likewise AISI 1010 HR steel. The...
-
The file Problem5_9.xlsx contains passing statistics for NFL teams during the 2017 season. Using formulas that do combine INDEX and MATCH in the same cell, return the desired statistics in the range...
-
Danielle Altman, the chief economist at Instawork, wrote an opinion column in the Wall Street Journal in which he described frictional unemployment as joblessness during the job-search process . . ....
-
The end-of-month trial balance of St. Paul Technology, Inc., at January 31, 2012, follows: Additional data at January 31, 2012: a. Supplies consumed during the month, $1,400. Half is selling expense,...
-
15. 16. What is the final product (major) 'A' in the given reaction? CH3 OH CH CH3 HCI + 'A' (major product) CH3 CH3 Cl CH (B) CH3 CH2-CH3 (A) CH3 CH (C) shiks CH=CH2 (D) Which of the following...
-
Refer to Figure 11.45. A square footing, 2 x 2 m in size, supports a column load of 300 kN. The soil characteristics are given in the figure. Field monitoring indicated that the foundation settlement...
-
Q4. You have filled bath tub with very hot water. Rather than risk 3rd degree burns, you decide to wait for it to cool down. Whilst waiting, you start to wonder about how the changing temperature of...
-
In Problems 23-34, find the value of each annuity at the end of the indicated number of years. Assume that the interest is compounded with the same frequency as the deposits. Amount of Deposit m 28....
-
Find the monthly payment for the loans in Problems 33-44. A \(\$ 258,000\) condominium bought with a \(30 \%\) down payment and the balance financed for 30 years at 3.05%
-
Explain the meaning of activity and output.
-
Use the advertisement shown in Figure 11.12 as a basis for answering Problems 14-20. Assume the current interest rate is \(1.7 \%\). Figure 11. 12 Suppose you take the \(\$ 300,000\) cash payment and...
-
Explain the difference between a sequence and a series. Include in your discussion how to distinguish arithmetic, geometric, and Fibonacci-type sequences, and give the formulas for their general...
-
EOQ Analysis Tiger Corporation purchases 1,240,000 units per year of a component. The fixed cost per order is $27. The annual holding cost of the item is 26.7% of its cost of $2.04. . Determine the...
-
On 1 July 2021, Croydon Ltd leased ten excavators for five years from Machines4U Ltd. The excavators are expected to have an economic life of 6 years, after which time they will have an expected...
-
Decide which of the following statements are true and which are false. Prove the true ones and provide counterexamples for the false ones. a) If x n is strictly decreasing and 0 < x n < 1/2, then x n...
-
Suppose that f is differentiable on a closed, bounded interval [a, b]. If f[a, 6] = [a, b] and f' is never zero on [a, b], prove that for every x [a, b] there exist x1 , x2 (a, b) such that F(x) =...
-
Let a, b, c, D, E be real numbers with c 0. a) If DE > 0, find all extrema of ax + by + cz subject to the constraint z = Dx2 + Ey2. Prove that a maximum occurs when cD < 0 and a minimum when cD > 0....
-
How might planning in a not-for-profit organization such as the World Wildlife Fund differ from planning in a for-profit organization such as Airbnb?
-
Provide examples of the sources of data a residential solar panel company might gather when engaging in environmental scanning. Exhibit 8-6 may be helpful when answering this question.
-
Should (a) large, (b) small, and (c) not-for-profit organizations analyze their organizations internal and external environments differently? Why or why not?
Study smarter with the SolutionInn App