A curve is defined as y = cosh 3 x 2 . a. Find the first derivative
Question:
A curve is defined as y = cosh3x2.
a. Find the first derivative with respect to x, stating the number of turning points.
b. Find the second derivative with respect to x.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 71% (7 reviews)
a The first derivative with respect to x is 6xsinh3x2 and there is one turning point b The ...View the full answer
Answered By
Muhammad Arfan Rafique
I have been a computer science tutor for over four years now, and I have extensive experience in teaching students of all ages and levels of experience. I specialize in teaching computer science, programming, and web development courses. I have taught courses ranging from introductory courses for beginners to more advanced courses for experienced students.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge International AS & A Level Further Mathematics Coursebook
ISBN: 9781108403375
1st Edition
Authors: Lee Mckelvey, Martin Crozier
Question Posted:
Students also viewed these Sciences questions
-
Establish a result for the first derivative with respect to x for the following functions. a. ay = sin -1 bx b. ay = tan -1 bx c. ay = sinh -1 bx d. ay = cosh -1 bx e. ay = tanh -1 bx
-
A parametric curve is defined as x = In (t + 1) and y = e t , where t > 0. a. Find dy/dx in terms of t. b. Show that the second derivative with respect to x is always positive.
-
A curve is defined by the parametric equations Find the length of the arc of the curve from the origin to the nearest point where there is a vertical tangent line. sin u s* cos u -du du cos u -du
-
a. Show that if the position x of a moving point is given by a quadratic function of t, x = At 2 + Bt + C, then the average velocity over any time interval [t 1 , t 2 ] is equal to the instantaneous...
-
What is a replacement chain? When and how should replacement chains be used in capital budgeting?
-
For each of the following cash transactions, identify whether it is better described as an operating, financing, or investing activity. 1. An entrepreneur contributes his own money to start a new...
-
Describe the accounting treatment for a forward exchange contract where there is no hedging relationship.
-
A local partnership has only two assets (cash of $10,000 and land with a cost of $35,000). All liabilities have been paid and the following capital balances are currently being recorded. The partners...
-
(a) A Ltd. has issued convertible bonds, which carries a coupon rate of 14%. Each bond is convertible into 20 equity shares of the company A Ltd. The prevailing interest rate for similar credit...
-
2.65 A cable loop of length 1.5 m is placed around a crate. Knowing that the mass of the crate is 300 kg, determine the tension in the cable for each of the arrangements shown. E E 300 mm 400 mm C...
-
Using standard results, or otherwise, find the Maclaurin series, giving the first four non-zero terms, for the following functions. a. f(x) = cos 3x b. f(x) = x 2 /1 3x c. f(x) = cosh (3x/2)
-
By first finding a four-term Maclaurin series for f(x) = sinh-lx, determine an approximation with respect to x for sink-1 0.2. Give your answer to 8 decimal places.
-
The Rolling Creek Textile Mill produces denim. The fixed monthly cost is $21,000, and the variable cost per yard of denim is $0.45. The mill sells a yard of denim for $1.30. a. For a monthly volume...
-
discuss the role of life cycle assessment (LCA) methodologies in quantifying and optimizing the environmental impacts of products and services for sustainable development ?
-
discuss the potential of emerging technologies such as renewable energy, advanced materials, and regenerative agriculture to drive innovation and facilitate the transition towards a more sustainable...
-
Can you provide examples of successful sustainability initiatives that have demonstrated measurable environmental, social, and economic benefits, and their potential for scalability and replication...
-
An employer sponsored health plan that allows a specific amount of wages to be put aside for medical care, and not subject to payroll taxes. Question 22 options: Flexible spending account Health...
-
Jeff and Mike decide to start a law practice together (Yes? Mike is a lawyer too? Scary, I know! P.S. So are Jim and Ricardo? but we'll save that for another question). They form their practice as a...
-
You need to move a heavy crate by sliding it across a smooth floor. The coefficient of sliding friction is 0.2. You can either push the crate horizontally or pull the crate using an attached rope....
-
Jax Incorporated reports the following data for its only product. The company had no beginning finished goods inventory and it uses absorption costing. $ 57.30 per unit $ 10.30 per unit $ 7.80 per...
-
In the description of Figure 9.24b, the following sentence appears: At the point when the L 2 phase disappears, the temperature increases beyond 94°C and the vapor composition changes along the i...
-
Explain why chemists doing quantitative work using liquid solutions prefer to express concentration in terms of molality rather than molarity.
-
Explain the usefulness of a tie line on a PZ phase diagram such as that of Figure 9.4. Figure 9.4 100 Liquid 80 60 Liquid + vapor 40 Vapor 20 0.2 0.4 0.6 0.8 Zbenzene Pressure/Torr
-
What are the factors that affect urban planning? Discuss
-
The project original budget at completion is 100,000 WH. The total earned value is 90,000 WH with a cumulative CPI of 0.95. The project has expended a total of 94,737 WH. (The project duration is...
-
Based on your readings thus far from the Learn items and your own research summarize and analyze two urban planning theories used in the U. S. Next, describe how other countries influenced the two...
Study smarter with the SolutionInn App