a. On the same axes sketch the curves given by y = x 2 (x + a)

Question:

a. On the same axes sketch the curves given by y = x²(x + a) and y = b/x where a and b are both positive constants.

b. Using your sketch, state, giving a reason, the number of real solutions to the equation x⁴ + ax³ – b = 0.

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

Step by Step Answer:

Related Book For answer-question

Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

ISBN: 9781292183398

1st Edition

Authors: Greg Attwood

See More Books

Question Posted: Jul 14, 2023 01:12 AM

See More Questions

a. On the same axes sketch the curves given by y = x 2 (x 3) and y = 2/x b. Explain how your sketch shows that there are only two real solutions to the equation x 3 (x 3) = 2.
a. On the same axes sketch the curves given by y = 1/x and y = x(x 1) 2 . b. Explain how your sketch shows that there are no real solutions to the equation 1 + x 2 (x 1) 2 = 0.
a. On the same axes sketch the curves given by y = (x + 1) 3 and y = 3x(x 1). b. Explain how your sketch shows that there is only one real solution to the equation x 3 + 6x + 1 = 0.
Fernando and Lester were married for 4 years before they separated. Upon separation, they executed an agreement that specified, among other things, that Fernando would transfer one of his RRSPs to...
Seven Springs Farm, Inc., is a Pennsylvanian corporation that owns and operates a 5,000-acre, year-round resort, with both skiing facilities and a conference center. The shareholders signed an...
Researchers at a food company are interested in how a new spaghetti sauce made from green tomatoes (and green in color) will compare to their traditional red spaghetti sauce. They are worried that...
Its not like what youve done has really hurt anyone. At most, the missing money might cost earnings-pershare, maybe a penny. Is that what caused you to write those checks in the name of your company?
The bank portion of the bank reconciliation for Langer Company at November 30, 2017, was as follows The adjusted cash balance per bank agreed with the cash balance per books at November 30. The...
a.) The following questions refer to the optical cavity in the diagram below. It is excited by a variable frequency source and the detected intensity is displayed on an Optical Spectrum Analyzer....
Ten cars are to be parked in a car park that has 20 parking spaces set out in two rows of 10. Find how many different patterns of unoccupied parking spaces are possible if: a. The cars can be parked...
The diagram shows a sketch of a curve with equation y = f(x). The points A(1, 0), B(0, 2), C(1, 2) and D(2, 0) lie on the curve. Sketch the following graphs and give the coordinates of the points A,...
Given that f(x) = (x 10)(x 2 2x) + 12x a. Express f(x) in the form x(ax 2 + bx + c) where a, b and c are real constants. b. Hence factorise f(x) completely. c. Sketch the graph of y = f(x) showing...
Match the scatterplots in Figure 2.55 with the correlation values. Figure 2.55 r = 0.81 Scatter Plot Scatter Plot 4 Scatter Plot + Scatter Plot -1 -1 -1 -1 -2 -2 -2 -2 -2 -1 -2 -1 -2 -1 -1 -2 (a)...
For the below Repo transaction, calculate the Margin Ratio: Market value of collateral = BHD 2 million Amount of cash loan BHD 1.5 million = Accrued Interest = 0.2 million
Objective: Create a program that incorporates methods, user input, and arrays. Related SLOs: SLO #1: Use an appropriate programming environment to design, code, compile, run, and debug computer...
1. Describe the major obstacles that must be overcome to manage a supply chain successfully?
Hack Wellington Co. (HWC) plans to take out a five-year term loan from a commercial bank for $2,500,000 at a stated interest rate of 6%. The contract of the term loan requires that the borrower makes...
Explain the purpose of this function: function myFunction (int x) { if ((x & 1) == 0) { return true; } else { } } return false;
How have technological advancements helped in writing and presenting research reports?
Sundial Technologies produces and sells customized network systems in New Brunswick. The company offers a 60-day, all software and labor-and an extra 90-day, parts-only- warranty on all of its...
The curve C has parametric equations x = sin t, y = cos t. The straight line l passes through the points A and B where t = /6 and t = /2 respectively. Find an equation for the line l in the form ax +...
A curve C has parametric equations x = tan t, Find a Cartesian equation of C. X = = tant, y=3 sin (t-), 0
Find the values of t at the point of intersection of the line y = x ln 3 and the curve with parametric equations x = ln (t 1), y = ln (2t 5), t > 5/2 , and give the exact coordinates of this point.
CIVIL ENGINEERING EARTHQUAKE ENGINEERING - Types of Structural Analysis Click the link below and watch the videoS. Please answer the questions ask below. VIDEO LINK:...
The Kroger Company Net sales Cost of sales (using LIFO) Year-end inventories using FIFO Year-end inventories using LIFO January 31, 2015 February 1, 2014 February 2, 2013 108,465.00 85,512 6,933...
2. Consider planar channel flow which is governed by 1 in the domain 0 y 1 with no-slip boundary conditions u(0) = u(1) = 0, with dp/dx = -10 and = 1. a) Derive the exact solution. b) Using a 5 point...

a. On the same axes sketch the curves given by y = x 2 (x + a)

Question:

Step by Step Answer:

a On the same axes sketch the curves given by y x 2 x a and y bx where a and b are both positive con...View the full answer

Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

Students also viewed these Mathematics questions