Question

In: Math

The amount of skin covering a person's body (in square feet) depends on the person's height...

The amount of skin covering a person's body (in square feet) depends on the person's height and weight. One model for estimating this skin surface area is

A(w, h) = 0.6416w^0.425h^0.725 square feet

for a person weighing w pounds who is h feet tall. If a person 5 feet 11 inches tall who weighs 130 pounds grows 3 inches in height, by approximately how much must this person's weight change if the skin surface area is to remain the same? (Round your answer to two decimal places.)

Solutions

Expert Solution

Let us list the given values,

The given surface area is,

find the partial derivatives,

plugin w, h values,

The change in surface area A is given by,

plugin the values,

rounding off to 2 decimals,

I hope this answer helps,
Thanks,
Keep posting questions.

milcah answered 2 years ago

Next > < Previous

Related Solutions

Body frame size is determined by a person's wrist circumference in relation to height. A researcher...

Body frame size is determined by a person's wrist circumference in relation to height. A researcher measures the wrist circumference and height of a random sample of individuals. The data is displayed below. Excel Output: Regression Statistics Multiple R 0.8165 R Square 0.6666 Adjusted R Square 0.6564 Standard Error 3.9002 Observations 35 Coefficients Standard Error t-Stat P-value (Intercept) 31.5385 5.0273 6.2735 4.32 E -7 wrist 5.7874 0.7126 8.122 2.25 E -9 Round answers to 4 decimal places. a) Write the...

If the area of a square is 25 square feet, calculate the perimeter of the

If the area of a square is 25 square feet, calculate the perimeter of the square. Enter the value for the perimeter in the first blank and enter the units in the second. Enter units as ft. or square ft. Round your final answer to tenths if rounding is necessary ?

Wray Company rents 10,000 square feet of store space for $49,000 per year. The amount of...

Wray Company rents 10,000 square feet of store space for $49,000 per year. The amount of square footage by department is as follows: Department A: 1,600 sq. ft. Department B: 2,200 sq. ft. Department C: 3,800 sq. ft. Department D: 2,400 sq. ft. Allocate the annual rent expense among the four departments on the basis of relative square feet of floor space occupied: Annual Rent Expense Department A $ ??????? Department B ??????? Department C ?????? Department D ?????? Total...

The area of a square is increasing at a rate of 2 square feet per minute....

The area of a square is increasing at a rate of 2 square feet per minute. How fast is the perimeter changing in feet per minute when the area of the square is 64 square feet?

Is there a relationship between a person's height and the salary he or she earns? In...

Is there a relationship between a person's height and the salary he or she earns? In a study published in the Journal of Applied Psychology,† a positive correlation was found between the heights and the salaries of the participants. The correlation was found to be strongest for employees in sales and management positions. Suppose you conduct a similar study by obtaining height and earnings data from 20 randomly selected people in your community. You use statistical computing software (such as...

Express your height in the units of inches, feet, and meters.

Manufacturing overhead Amount Cost driver Standard Guest Room Junior Suite Presidential Suite Depreciation $3,200,000 Square feet...

Manufacturing overhead Amount Cost driver Standard Guest Room Junior Suite Presidential Suite Depreciation $3,200,000 Square feet 50,000 30,000 30,000 Maintenance $1,800,000 Direct labor hours 180,000 143,000 148,500 Purchasing $320,000 # of purchase orders 2,500 1,500 9,000 Inspection $850,000 # of inspections 1,000 850 3,500 Indirect $490,000 Units manufactured 150 110 25 materials Supervision $1,700,000 # of inspections 1,000 850 3.5 Supplies $190,000 Units manufactured 150 110 25 6. Why are the costs different between the traditional method and the activity-based...

Manufacturing overhead Amount Cost driver Standard Guest Room Junior Suite Presidential Suite Depreciation $3,200,000 Square feet...

Manufacturing overhead Amount Cost driver Standard Guest Room Junior Suite Presidential Suite Depreciation $3,200,000 Square feet 50,000 30,000 30,000 Maintenance $1,800,000 Direct labor hours 180,000 143,000 148,500 Purchasing $320,000 # of purchase orders 2,500 1,500 9,000 Inspection $850,000 # of inspections 1,000 850 3,500 Indirect $490,000 Units manufactured 150 110 25 materials Supervision $1,700,000 # of inspections 1,000 850 3.5 Supplies $190,000 Units manufactured 150 110 25 Total $8,550,000 234,800 176,420 191,054 Calculate the cost of one Presidential Suite using...

An income property has 5000 square feet of leasable space, and rents for $8.00 per square...

An income property has 5000 square feet of leasable space, and rents for $8.00 per square foot per year. Vacancy and credit loss are estimated at 4% and operating expenses at 38% of potential gross income. Lenders require a 1.2 Debt Coverage Ratio. Mortgage is available at terms of 25 years, at 15%, payable annually. The investor requires a 14% rate of return on the projects before tax equity cash flow. What would be your maximum offering price based on...

A scientist wants to determine whether or not the height of cacti, in feet, in Africa...

A scientist wants to determine whether or not the height of cacti, in feet, in Africa is significantly higher than the height of Mexican cacti. He selects random samples from both regions and obtains the following data. Africa: Mean = 12.1 Sample size = 201 Mexico: Mean = 11.2 Sample size = 238 (a) Which of the following would be the correct hypothesis test procedure to determine if the height of cacti, in feet, in Africa is significantly higher than...

Subjects