The table shows experimental values of the variables x and y. The variables are known to be

Question:

The table shows experimental values of the variables x and y.

The variables are known to be related by the equation y = a × e^ax+b where a and b are constants.

a. Draw the graph of ln y against x.

b. Use your graph to estimate the value of a and the value of b.

c. Estimate the value of x when y = 50.

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

Step by Step Answer:

Related Book For book-img-for-question

Cambridge IGCSE And O Level Additional Mathematics Coursebook

ISBN: 9781108411660

2nd Edition

Authors: Sue Pemberton

See More Books

Question Posted: Aug 26, 2021 05:08 AM

See More Questions

The table shows experimental values of two variables x and y. It is known that x and y are related by the equation y = a/x + bx, where a and b are constants. a. Complete the following table. b. On a...
The table shows experimental values of the variables x and y. a. Copy and complete the following table. b. Draw the graph of 1/y against 1/x. c. Express y in terms of x. d. Find the value of x when y...
The table shows experimental values of the variables x and y. a. Copy and complete the following table. b. Draw the graph of xy against x. c. Express y in terms of x. d. Find the value of x and the...
A cancerous tumor is modeled as a sphere of radius r cm. a. At what rate is the volume V = 4/3r3 changing with respect to r when r = 0.75 cm? b. Estimate the percentage error that can be allowed in...
The decomposition of hydrogen peroxide is a first-order reaction: H2O2(aq) H2O(l) + 1 / 2 O2(g) The half-life of the reaction is 17.0 minutes. a. What is the rate constant of the reaction? b. If you...
High Point Furniture Company (HPF) manufactures very high-quality furniture for sale directly to exclusive hotels, interior designers, and select retail outlets throughout the world. HPF's products...
For each of the following, decide whether there has been a valid offer: A . Would you like to buy my cabin in Maine? Its a beautiful piece of lakefront property and could sell for more than...
Levene Boot Co. sells men's, women's, and children's boots. For each type of boot sold, it operates a separate department that has its own manager. The manager of the men's department has a sales...
1 2 34 What is "SWOT analysis? How do you carry it for a technical educationalinstitute? What is corporate planning? Explain the process of corporate planning? Discuss the process of strategy...
For the Shafer Office Supplies, suppose that the company wants to enforce a single sourcing constraint that each retail store be served only from one distribution center. Set up and solve a model to...
Variables x and y are such that, when ln y is plotted against ln x, a straight-line graph passing through the points (2, 5.8) and (6, 3.8) is obtained. a. Find the value of ln y when ln x = 0. b....
Variables x and y are related so that, when lg y is plotted on the vertical axis and lg x is plotted on the horizontal axis, a straight-line graph passing though the points (4, 8) and (8, 14) is...
Tsuyoshi owns 200 shares of Takeda Pharmaceutical Co. Ltd. The stock recently underwent a five-for-one stock split. If the stock was trading at 4,000 per share just before the split, how much is each...
Suppose that you are trying to choose one of two possible machines for your factory. You will need to operate the machine over the next 6 years. The first possibility is a machine that costs $1...
A cash basis tenant desperately wants to secure rental property in downtown San Francisco. Even though the tenant can not move in for another nine months, on December 31, 20X1, tenant hands landlord...
Lori company had net earnings of 127.000 this past year of which 46.200 was paid out in dividends company's equity was 1.587.500. Lori has 200.000 shares outstanding with current market price share....
Selected data for The Intex Company: Cost of goods manufactured $400,000 Work in process inventory, beginning 100,000 Work in process inventory, ending 90,000 Direct materials used 75,000...
Describe how HELP repayment rates are calculated. When an employee starts with a new job, what information should be provided to the employer in relation to any outstanding HELP debt? When someone is...
Discuss: How can the procedure in Exercise 7 be used to solve y - 6y + 11y - 6y = 0? Carry out your ideas. Exercise 7 It is possible to solve a single differential equation by expressing the equation...
The following cost information was provided to you for analysis: September 12,000 Units Produced Costs: TIC TAC TOE TING August 10,000 P80,000 70.000 60.000 50,000 How much is the fixed cost per...
For each transaction of Sealy Co., (a) Determine whether or not Sealy owns the goods during transit. (b) If Sealy is responsible for transportation costs, record the entry for shipping costs assuming...
Allied Merchandisers was organized on May 1. Macy Co. is a major customer (buyer) of Allied (seller) products. Prepare journal entries to record the following transactions for Allied assuming it uses...
Analyze each transaction in Exercise 4-6 by indicating its effects on the income statement specifically, identify the accounts and amounts (including + or ) for each transaction. Exercise 4-6 Allied...
A combination lock opens with the correct three-digit code. Each wheel rotates through the digits 1 to 8. Suppose each digit can be used only once in a code. How many different codes are possible...
If a $1 coupon is distributed for a product that normally has a profit of $4 per unit, how much is the profitability reduced if coupon handling expenses are $0.30 per unit and coupon marketing...
Make sure to include your null and alternative hypothesis, your test statistic, your p-value, decision, and conclusion in the context in your response: A baseball team claims that30%of their fans...

The table shows experimental values of the variables x and y. The variables are known to be

Question:

2 4 6. 8 10 30.0 44.7 66.7 99.5 148.4

Step by Step Answer:

ANWER To solve this problem well first take the natural logarithm ln of both sides of the equation y ...View the full answer

Cambridge IGCSE And O Level Additional Mathematics Coursebook

Students also viewed these Business questions