🏷️ LIMITED TIME OFFER: GET 20% OFF GRADE+ YEARLY SUBSCRIPTION →
Log in
Mathematics
8
answers
1
watching
404
views

The area of a rectangular tarp cover is . The length of the tarp is 8 ft greater than the width of the tarp. This situation can be represented by the equation . What is the length of the tarp in feet?
 
F  24 ft
G  18 ft
H  16 ft
J  22 ft

Watch
8
answers
1
watching
404
views

For unlimited access to Homework Help, a Homework+ subscription is required.

Avatar image
Liked by mauveyak34 and 2 others

Unlock all answers

Get 1 free homework help answer.
Already have an account? Log in
Share
Avatar image
Liked by mauveyak34 and 2 others
Already have an account? Log in
Share
Avatar image
Read by 4 people
Already have an account? Log in
Share
Avatar image
Read by 6 people
Already have an account? Log in
Share
Avatar image
Read by 6 people
Already have an account? Log in
Share
Avatar image
Read by 6 people
Already have an account? Log in
Share
Avatar image
Read by 6 people
Already have an account? Log in
Share
Avatar image
Read by 7 people
Already have an account? Log in
Share

Related questions

4. You are constructing a rectangular storage shed with a square base. You need space to accomodate 75 m of stuff. The floor is made of concrete which costs 2$/m². The four walls are made of wood, which costs 5 $/m². The roof tiles cost 4 $/m2 (a) Write a formula for the total cost of the shed in terms of a single variable. Indicate what this variable represents, and state its domain. (3 marks) (b) What should be the dimensions of the shed to minimize the cost? State the length, width and height, and also the minimum value of the cost. (5 marks) (c) Suppose you only have enough concrete to cover an area of 16 m². How does this change the domain of the variable you chose in part (a)? (1 mark) (d) With the restriction from part (c), can you achieve the minimum cost you

A Norman window is a window wherein one side of the rectangle is replaced by a semicircle. A Norman window is to be made out of a plastic beam, whose available length is  . Find out the height of the lower rectangle of the Norman window such that when the window is installed into the wall, maximum air circulation is possible. 

 

The Norman window would look like this.

Let the radius of the semicircular shape in red be  and the height of the rectangular base be .

We can equate the perimeter of the window as . 

Substitutine the value of the perimeter, we get .

Isolating the height, we get .    

  

Then, we can express the area of the window as.

Substituting the expression for the height, we get.

Simplifying the equation, we have .

To get the maximum, we need to get the derivative of this function. That is, .

Equating the derivative to zero, we get .

Solvng for , we get .

1. (45 marks) Short-Answer Questions. Put your answer in the box provided but show your work also. Each question is worth 3 marks, but not all questions are of equal difficulty. Full marks will be given for correct answers placed in the box, but at most 1 mark will be given for incorrect answer. Unless otherwise stated, it is not necessary to simplify your answers in this question. a) Find the equation of the tangent plane to the graph of the function z = f(x,y) = sell at (0,1). Answer b) Evaluate (T, 0) if f(x,y) = sin(ry). Answer c) Graph of a function z = f(x,y) is given by: Which of the following level curves correspondes to this function. Answer d) If f(x,y) = e(3x – 2y), find lim - Math)-f(x,y) e) Find % if f(x, y) = x2 - y3 and 2 = r sin(t), y = r cos(t). Answer f) Evaluate the directional derivative of f(x, y) = !at (1, -1) in the direction of u =(2, 1). Answer 8) Does Simono converge? h) Sketch the direction field of the differential equation = 1-2y. i) Consider the differential equation ay = 15 - 31, y(0) = 0, and use Euler's method with step size 0.1 to estimate y(0.1). Answer j) Knowing that (-3,-3) is a critical point of f(x,y) = 2:3 + y2 – 4.cy -3.0, use the second derivative test to find out whether it is a local minimum, local maximum, or a saddle point. Answer k) Solve the initial value problem, dy dt 642 2y + cos(u) y(1) = . Answer 1) Is ū=(2,2, -1) perpendicular to v = (5,-4, 2)? Answer m) Find the area between the graph of y = 1 + sin(x) and y=1-sin(x) from 0 to 7. Answer n) Determine the lentgh of the curve y = 8/2,0 SIS 3. Evaluate and simplify your answer. Answer o) Express the volume of the solid obtained by rotating the bounded region that lies between curves y = (x-2)2 and y=1,150 $4 about the vertical line 2 = 5. Do not evaluate this integral. Answer

Weekly leaderboard

Home
Homework Help 3,900,000
Mathematics 240,000
Start filling in the gaps now
Log in