A wire that is
24
centimeters long is shown below.
The wire is cut into two pieces, and each piece is bent and formed
into the shape of a square.
Suppose that the side length (in centimeters) of one square is
x
, as shown below.
|
24cm x |
|
Homework Answers
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A wire that is
24
centimeters long is shown below.
The wire is cut into two...
8. A piece of wire of length L cm is cut into two pieces. One piece,...
8. A piece of wire of length L cm is cut into two pieces. One piece, of length x cm, is made into a circle; the rest is made into a square. Denote by A(x) the sum of the area of the circle and the area of the square. (a) (5 points) Find I'm which makes A(z) MINIMUM, and find A(1m). (b) (5 points) Find xm which makes A(x) MAXIMUM, and find A(zm).
8. A piece of wire of length L cm is cut into two pieces. One piece,...
8. A piece of wire of length L cm is cut into two pieces. One piece, of length x cm, is made into a circle; the rest is made into a square. Denote by A(z) the sum of the area of the circle and the area of the square. (a) (5 points) Find Im which makes A(z) MINIMUM, and find A(I'm). (b) (5 points) Find am which makes A(z) MAXIMUM, and find A(IM).
1. Find an equation of the tangent line to the curve at the given point. x...
1. Find an equation of the tangent line to the curve at the given point. x = ++ +1, y=+*+t at the point (2,-2). 2. Find y" by implicit differentiation. (note that a is a constant) x² + y² = a² 3. A piece of wire 12 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. How should the wire be cut so that the total...
A wire 48 cm long is cut into two pieces and each piece is bent to...
A wire 48 cm long is cut into two pieces and each piece is bent to form a square. How long should each piece be to minimize the sum of the areas of the two squares? 19. A baseball is hit vertically at a velocity of 50 ft per sec. What is the maximum height that the ball will reach, and after how many seconds does the ball reach its maximum height? (The height after t seconds is given by...
A wire 3 meters long....Please read, different from other question I have posted today
A wire 3 meters long is cut into two pieces. One piece is bent into a equilateral triangle for a frame for a stained glass ornament, while the other piece is bent intoa circle for a TV antenna. To reduce storage space, where should the wire be cut to minimize the total area of both figures? Give the length of wire used foreach:Where should the wire be cut to maximize the total area? Again, give the length of wire used...
I have done these multiple times and cannot seem to get the right answers. Help would...
I have done these multiple times and cannot seem to get the
right answers. Help would be much appreciated!
3.4 Applied Optimization Turned incally when < Previous Nex A cattle rancher wants to enclose a rectangular area and the divide it into three pens with fencing parallel to one side of the rectangle (see the figure below). There are 580 feet of fencing available to complete the job. What is the largest possible total area of the three pens Largest...
b. A wire five meters in length is cut into two pieces, out of which a...
b. A wire five meters in length is cut into two pieces, out of which a perfect square and a perfect circle are made. Find the maximum and minimum values the combined area of the circle and square can take. Give answer to 3 significant digits. (5 marks) Page 6 of 12
A 24-inch piece of string is cut into two pieces
A 24-inch piece of string is cut into two pieces. One piece is used to form a circle and the other is used to form a square. How should the string be cut so that the sum of the areas is a minimum?
A piece of wire has a resistance R. It is cut into two pieces of equal...
A piece of wire has a resistance R. It is cut into two pieces of equal length, and the pieces are twisted together parallel to each other. Part A What is the ratio of the resistance of the resulting wire to R?
A wire with resistance R is bent to form a square with a side of length a and is placed in extern...
Please write clearly.
thanks!
A wire with resistance R is bent to form a square with a side of length a and is placed in external magnetic field. Find a charge, which will pass through the wire after the square has been deformed into two identical squares (i) by applying a twist and (ii) without a twist
A wire with resistance R is bent to form a square with a side of length a and is placed in external magnetic...
8. A piece of wire of length L cm is cut into two pieces. One piece, of length x cm, is made into a circle; the rest is made into a square. Denote by A(x) the sum of the area of the circle and the area of the square. (a) (5 points) Find I'm which makes A(z) MINIMUM, and find A(1m). (b) (5 points) Find xm which makes A(x) MAXIMUM, and find A(zm).
8. A piece of wire of length L cm is cut into two pieces. One piece, of length x cm, is made into a circle; the rest is made into a square. Denote by A(z) the sum of the area of the circle and the area of the square. (a) (5 points) Find Im which makes A(z) MINIMUM, and find A(I'm). (b) (5 points) Find am which makes A(z) MAXIMUM, and find A(IM).
1. Find an equation of the tangent line to the curve at the given point. x = ++ +1, y=+*+t at the point (2,-2). 2. Find y" by implicit differentiation. (note that a is a constant) x² + y² = a² 3. A piece of wire 12 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. How should the wire be cut so that the total...
A wire 48 cm long is cut into two pieces and each piece is bent to form a square. How long should each piece be to minimize the sum of the areas of the two squares? 19. A baseball is hit vertically at a velocity of 50 ft per sec. What is the maximum height that the ball will reach, and after how many seconds does the ball reach its maximum height? (The height after t seconds is given by...
I have done these multiple times and cannot seem to get the
right answers. Help would be much appreciated!
3.4 Applied Optimization Turned incally when < Previous Nex A cattle rancher wants to enclose a rectangular area and the divide it into three pens with fencing parallel to one side of the rectangle (see the figure below). There are 580 feet of fencing available to complete the job. What is the largest possible total area of the three pens Largest...
b. A wire five meters in length is cut into two pieces, out of which a perfect square and a perfect circle are made. Find the maximum and minimum values the combined area of the circle and square can take. Give answer to 3 significant digits. (5 marks) Page 6 of 12
Please write clearly.
thanks!
A wire with resistance R is bent to form a square with a side of length a and is placed in external magnetic field. Find a charge, which will pass through the wire after the square has been deformed into two identical squares (i) by applying a twist and (ii) without a twist
A wire with resistance R is bent to form a square with a side of length a and is placed in external magnetic...
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