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(a)
To calculate: The power expenditure of each runner whose masses are 60kg, 65kg and 70kg, running at 400m/min.
(b)
Whether the power expenditure increase or decrease as the mass of the runner increases with constant velocity.
(c)
To calculate: The velocity of each runner whose masses are 80 kg, 84kg and 90 kg, expending power at
(D)
Whether the velocity increases or decreases as the mass of the runner increases with constant power expenditure.
(e)
To calculate: The velocity of a 50 kg runner expending power at same rate while carrying 2 kg extra weight and being trained at velocity 480 m/min.
(f)
The reason for the runners to carry extra weight while being trained.
(g)
To graph: Power expenditure versus mass of a runner with velocity fixed at 400 m/min and velocity versus mass of a runner with fixed power expenditure at 40 kcal/min with the use of computer.
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Chapter 1 Solutions
College Algebra (6th Edition)
- Q/(a)Let X be a finite dimension vector space over a field F and S₁,S2CX such that S₁SS2. Show that whether (1) if S, is a base for X then base for X or not (2) if S2 is a base for X then S, is a base for X or not (b) Show that every subspace of vector space is convex and affine set but the conevrse need not to be true. allet M be a non-empty subset of a vector space X over a field F and x,EX. Show that M is a hyperspace iff xo+ M is a hyperplane and xo€ xo+M. bState Hahn-Banach theorem and write with prove an application about it. Show that every singleten subset and finite subset of a normed space is closed. Oxfallet f he a function from a normad roace YI Show tha ir continuour aty.GYiffarrow_forward7 3 2 x+11x+24 9 2 5 x+11x+24arrow_forward2 4 + 4x 2x 8 || 12arrow_forward
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- A boat's value over time, x, is given as the function f(x) = 400(b)x. Graph the boat's value decreasing at a rate of 25% per year?arrow_forwardDescribe the y-intercept and end behavior of the following graph: 0 2 4 -2 -4 -6arrow_forwardComputing Ending Inventory under Dollar-Value LIFO Wheels Inc. accounts for inventory using the dollar-value LIFO method. The following information is available for Year 1 through Year 3 (listed chronologically). Year Ending Inventory at FIFO Price Index Year 1 Year 2 Year 3 $6,000 1.00 9,600 1.10 12,000 1.13 Compute ending inventory under the dollar-value LIFO method for Year 1, Year 2, and Year 3. • Note: Round your answers to the nearest whole dollar.arrow_forward
- Upland Co.'s inventory records showed the following data accounted for in a perpetual inventory system. Unit Date June 1 Units Cost Inventory (beg.) 700 $8.00 June 3 Purchases 1,400 8.40 June 7 Sales (at $16 per unit) 980 952 9.00 June 20 Purchases June 22 Sales (at $16 per unit) 1,540 What is (a) ending inventory on June 30, and (b) cost of goods sold for June, using the FIFO inventory method? •Note: Do not use negative signs with any of your answers. •Note: List the inventory units in chronological order based on their purchase date with beginning inventory, if any, listed first.arrow_forwardExplain how solve 4x + 3 = 7 using the change of base formula logy: logy. Include the solution for x in your answer. Round your answer to the nearest thousandth. log barrow_forward5. Consider the following vectors 0.1 3.2 -0-0-0 = 5.4 6.0 = z= 3 0.1 For each of exercises a-e, either compute the desired quantity by hand with work shown or explain why the desired quantity is not defined. (a) 10x (b) 10-27 (c) J+Z (d) (x, y) (e) (x, z)arrow_forward
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