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b) Find the area under the curve given by g(x) = x? + 4x between x= 6 and x = 9.

b) Find the area under the curve given by g(x) = x? + 4x between x= 6 and x = 9.

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter58: Achievement Review—section Five
Section: Chapter Questions
Problem 30AR: Determine dimension x to 3 decimal places.
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please send handwritten solution for Q 1 part b
Question 1: a) A function is given by f(x) = 5x³ – 6x2 + x – e*. Find the slope of the tangent line to this curve at x= 2. b) Find the area under the curve given by g(x) = x' + 4x between x = 6 and x=9. c) The fixed costs of a business for production of a particular item over a period are $1000 while the production cost per unit is $90. If the business is able to produce and sell 200 items over the period, what should the sales price of the item be in order for the business to break even? d) A company is offered a contract promising annual net returns of $22,000 for six years. If the company accepts the contract, it must immediately spend S 70,000 to set up its plant for production. After the six years this set-up would have no residual value. Should the contract be accepted if the required rate of return is 10%? e) In a net present value (NPV) analysis it is found that proceeding with a contract with required rate of return of 8% gives an NPV of $20,000 while if the required rate of return is 10% then the NPV is -$5,000. Use linear interpolation to estimate the internal rate of return (IRR) for this contract.
Transcribed Image Text:Question 1: a) A function is given by f(x) = 5x³ – 6x2 + x – e*. Find the slope of the tangent line to this curve at x= 2. b) Find the area under the curve given by g(x) = x' + 4x between x = 6 and x=9. c) The fixed costs of a business for production of a particular item over a period are $1000 while the production cost per unit is $90. If the business is able to produce and sell 200 items over the period, what should the sales price of the item be in order for the business to break even? d) A company is offered a contract promising annual net returns of $22,000 for six years. If the company accepts the contract, it must immediately spend S 70,000 to set up its plant for production. After the six years this set-up would have no residual value. Should the contract be accepted if the required rate of return is 10%? e) In a net present value (NPV) analysis it is found that proceeding with a contract with required rate of return of 8% gives an NPV of $20,000 while if the required rate of return is 10% then the NPV is -$5,000. Use linear interpolation to estimate the internal rate of return (IRR) for this contract.
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ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
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