Given that y 3x ax and d 2 y dx 2 54 when x 2 work out the value of a ...

Taking the second derivative of y with respect to ...

Given that y = 3x ax and d 2 y/dx 2 = 54 when x =

Question:

Given that y = 3x³ − ax² and d²y/dx² = 54 when x = 2 work out the value of a.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Complete Pure Mathematics 1 For Cambridge International AS & A Level

ISBN: 9780198427438

2nd Edition

Authors: Jean Linsky, Brian Western, James Nicholson

See More Books

Question Posted: Apr 14, 2023 11:01 AM

See More Questions

Is there a number a such that Exists? If so, find the value of a and the value of the limit. 3x + ax + a + 3 x + x- 2 lim
The curve has gradient 16 when x = 1 and gradient 8 when x = 1.Find the value of a and the value of b. y = ax + b 2 X
What is a time series? Explain the four characteristics that time series may exhibit and provide some practical examples.
Should Apple use single product or multiproduct break-even analysis? Explain.
Identify the primary advantages of the corporate form of business.
In Exercises 1 to 4, it may be helpful to draw a figure such as Figure 5.5. Figure 5.5. Using the normal curve table, determine the area of the standard normal distribution that is greater than the...
Your father offers you a choice of $105,000 in 12 years or $47,000 today. a. If money is discounted at 8 percent, which should you choose? b. If money is still discounted at 8 percent, but your...
what manner does the mentorship continuum facilitate the cross-pollination of diverse perspectives and interdisciplinary insights, fostering the emergence of synergistic solutions to complex societal...
Trace or copy the graph of the given function f. (Assume that the axes have equal scales.) Then use the method of Example 1 to sketch the graph of f' below it. yA
Find the equation of the tangent and the normal to the curve y = 2x x at the point where x = 2.
The grid shows the graph of y = x 3x + 1. a) Estimate the gradient of the tangent to the curve at the point where x = 1.5. b) Write down the coordinates of the points on the curve where the gradient...
Denver Corporation sold a $300,000, 6 percent bond issue on January 1, 2011, at a market rate of 3 percent. The bonds were dated January 1, 2011, with interest to be paid each December 31; they...
Describe the nature and purpose of a complaint.
Finnish paper company M-real produced paper and packaging products, the demand for which is highly influenced by the demand for end consumer products. Global demand decreased due to the global...
Study based on the perspectives of key stakeholders: a. Individuals b. The public c. Healthcare professionals d. Federal and state governments e. Managed care and traditional insurance companies f....
Identify a minimum of five defenses to a divorce action.
Because of the previous lack of effective control of expenditure by the Han Dan Company, a system of responsibility accounting and standard costing was introduced. The basic principles underlying the...
Suppose that X(t) follows equation (20.9). Use It^o's Lemma to verify that a solution to this differential equation is Discuss.
DEPARTMENT DATA EMPLOYEE DATA EmployeeNumber FirstName Mary Rosalie Richard George Alan 3 4 5 7 8 9 855555ES 12 13 14 15 16 17 Create the database tables in SQL or ACCESS: 18 19 20 PROJECT DATA Ken...
Suppose that 30% of children are obese by the above definition. What percent of hypertension is attributable to obesity? Provide a 95% CI associated with this estimate. Hypertension Suppose that 200...
What is the estimated OR for hypertension comparing Hispanic boys vs. Caucasian boys? (Call this OR1.) What is a 95% CI for this estimate? Hypertension An important issue is whether there are racial...
What is the estimated OR for hypertension comparing Hispanic boys vs. Caucasian boys based on the results in Table 13.55? (Call this OR 2 .) Provide a 95% CI for this estimate. What is the difference...
7. Give the precondition, postcondition, and loop invariant assertion for the following function. Consider the size of the array and how many items are stored in the array (some array positions may...
For the system shown below, find the transfer function assuming that the output is y and the input is x X(s) 25 S + 1 1 10 3 4 S Y(s)
1. Consider a CPU with a simple non-pipelined data path. The registers A, B, MDR and the ALU are all 8-bit wide. SP and MAR are 16-bit registers. Each memory operation takes 2 CPU clock cycles and...

Given that y = 3x ax and d 2 y/dx 2 = 54 when x =

Question:

Step by Step Answer:

Taking the second derivative of y with respect to ...View the full answer

Complete Pure Mathematics 1 For Cambridge International AS & A Level

Students also viewed these Mathematics questions