Question: (a) Given that cosh x = - , determine the value of sinh 2x . (5 marks) (b) Find the possible values of sinh x

(a) Given that cosh x = - , determine the value of sinh 2x . (5 marks) (b) Find the possible values of sinh x for which 12cosh x + 7 sinhx =24. Hence find the possible values of x, leave the answers as natural logarithms. (8 marks) (c) Find the gradient of the curve with equation y =3cosh 2x -sinh x at the point where x =In2 . (3 marks) (d) Find the area of the region bounded by the y-axis, the line x = In 3 and the curve with equation y = cosh 2x + sech x. (4 marks) (e) Prove that d tanh x ) =1-tanh x. d.x

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

7/4/23, 11:16 PM Homework 8.7-Anh Nguyen Use a table of integrals to determine tv7t+ 19 at. Click here to view page 1 of the integral table. " Click here to view page 2 of the integral table. 14...

Question 11 (2+ 1 + 1 +1+1+2+1 =9 marks) 3 (a) Given that sinh (z) = =, find the exact value of each of the following. (i) cosh (x) (ii) tanh (x) (iii) cosh (2x)

EXERCISES 7.7 Values and Identities 9. (sinh x + cosh x)4 Each of Exercises 1-4 gives a value of sinh x or cosh x. Use the defi- 10. In (cosh x + sinh x) + In (cosh x - sinh x) nitions and the...

Problem #1: Which of the following is equal to coth(In x)? (A) 2- (B) (C) 2+ (D); 2 x + 1 (E) 2x ( F ) 2x Problem #1: Select v Just Save Submit Problem #1 for Grading Problem #1 Attempt # 1 Attempt...

wall A ladder 10 ft long rests against a vertical wall. If the bottom of the lad- der slides away from the wall at a rate of I ft/s, how fast is the top of the ladder sliding down the wall when the...

1. Given that sinh x fractional form. a. cosh x b. tanh x c. sech x d. coth x e. cosh 2x 7 = 25 find the values of the following, giving your answer in [7] 2. Prove from first principles (using the...

Please show the steps help you master the material. If you aren't sure about the mathematical steps, you can describe the process or support your solution by writing an explanation. A value of sinh x...

The new line character is utilized solely as the last person in each message. On association with the server, a client can possibly (I) question the situation with a client by sending the client's...

Symbolic answers must be entered using notation similar to the examples given below. If you enter decimal numbers for questions that indicate that a symbolic answer is required, it will be marked as...

Please solve these problems according to the method given in their respective heading. problem - 4, 7 1-17 GENERAL SOLUTION 14. (x2D2 + xD - 41)y = 1/x2 Solve the given nonhomogeneous ODE by...

Better-Life Massage Clinic (BM) provides various types ofmassage service at the price of $32. Currently, BM opens 30 daysper month and serves 30 customers a day. BM pays its own masseusesthe wage of...

During the first year, the Bob and Kim partnership in SE 2 earned an income of $5,000. Assume the partners agreed to share income and losses by figuring interest on the beginning capital balances at...

A younger person with a longer time horizon for retirement should hold a much higher percentage of the following in their IRA or 4 0 1 k retirement plan. bonds moncy market gold stocks

What form of team task interdependence tends to yield the highest quality performance? Cohesive Process Gains Pooled Sequential Reciprocal