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(1 point) You are given a rectangular piece of paper that has length x = 31.6...
Problem 7. (1 point) When air expands adiabatically (without gaining or losing heat), its pressure P...
Problem 7. (1 point) When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related by the equation PV 14 = C where C is a constant. Suppose that at a certain instant the volume is 340 cm, and the pressure is 97 kPa (kPa = kiloPascals) and is decreasing at a rate of 15 kPa/minute. At what rate is the volume increasing at this instant? The volume is increasing at cm/min Problem 5....
What point on the line y-7x + 8 is closest to the origin? Let D be the distance between the two p...
in urgent need with help on these three
What point on the line y-7x + 8 is closest to the origin? Let D be the distance between the two points. What is the objective function in terms of the x-coordinate? (Type an expression.) a. Find the radius and height of a cylindrical soda can with a volume of 398 cm3 that minimize the surface area. b. Compare your answer in part (a) to a real soda can, which has a...
A rectangular coil that has a length of 20.0 cm and a width of 8.5 cm...
A rectangular coil that has a length of 20.0 cm and a width of
8.5 cm containing 10 loops lies flat on your desk as shown on this
page. A uniform magnetic field of magnitude 5.10 × 10-5 T points
towards the bottom of this page. If a 6.00-A clockwise current
flows through the coil, (a) determine the torque on the coil.
(b) which edge of the coil rises up?
Top
Bottom
Left
None of these
Right
Answer this question. 1.(a) The daily profit, f (x), in hundreds of dollars, for a company...
Answer this question. 1.(a) The daily profit, f (x), in hundreds of dollars, for a company that manufactures x radios daily is given by f(x)240x 300 Determine the maximum daily profit of the company. (6 marks) The combined area of a square and a rectangle is 128 cm2. The width of the rectangle is 3 cm more than the length of a side of the square, and the length of the rectangle is 3 cm more than its width. Detemine...
1. Electromagnetic radiation in vacuum impinges on midpoint of face XY of a rectangular piece of...
1. Electromagnetic radiation in vacuum impinges on midpoint of face XY of a rectangular piece of acrylic (n = 1.52) that has been rotated at an angle of 45 degrees, as shown in the figure below. If AB = XY = 5 cm, what is the minimum length of sides AX = BY if the ray is not to exit through side A B? Y 01 = 35°
(-) Determine the approdato change of the area de a triangle. Aber where is the length...
(-) Determine the approdato change of the area de a triangle. Aber where is the length of the triangle base and his the perpendicular height of the triangle (1) changes from (1012) to (10.5122) by using partial derivatives (1 marks) (b) Given a function z(x,y)=8y?+(x +2y2 + xy-10x-2y has a stationary point. Solve 2,2,,2,,2,, and Z. (10 marks) Determine the stationary point of z(x,y). (5 marks) BTB10203 Page 1 of 9 JANUARY 2020 CONFIDENTIAL Determine the type of the stationary...
(1 point) You must design a closed rectangular box of width w, length 1 and height...
(1 point) You must design a closed rectangular box of width w, length 1 and height h, whose volume is 530 cm . The sides of the box cost 3 cents/cm2 and the top and bottom cost 5 cents/cm². Find the dimensions of the box that minimize the total cost of the materials used. dimensions = (Enter your answer as a comma separated list of lengths, which will be interpreted as being in centimeters.)
) 8. Suppose a triangle is constructed where two sides have fixed length a and b, but the third side has variable length x You can imagine there is a pivot point where the sides of fixed length a and...
) 8. Suppose a triangle is constructed where two sides have fixed length a and b, but the third side has variable length x You can imagine there is a pivot point where the sides of fixed length a and b meet, forming an angle of θ. By changing the angle θ, the opposite side will either stretch or contract (a) Let K(x)- Vs(s - a)(s -b)(s - x), where s is the semiperimeter of the triangle. Accord ing to...
A candy box is made from a piece of cardboard that measures 25 by 14 inches. Squares of equal size will be cut out of each corner. The sides will then be folded up to form a rectangular box....
A candy box is made from a piece of cardboard that measures 25 by 14 inches. Squares of equal size will be cut out of each corner. The sides will then be folded up to form a rectangular box. Find the length of the side of the square that must be cut out if the volume of the box is to be maximized. What is the maximum volume? 14 in. A square with a side of length of 2.88 inches...
The beam has the rectangular cross section shown. A beam of length 6 meters pin-supported 2...
The beam has the rectangular cross section shown. A beam of
length 6 meters pin-supported 2 meters from the left end and
roller-supported 2 meters from the right end. The beam has a
rectangular cross section with base length 50 millimeters and
height 150 millimeters. Load: w, uniform along beam.
Part A If w = 4 kN/m , determine the maximum bending stress in
the beam.
Can you please draw out the moment and shear diagrams for this
one using...
Problem 7. (1 point) When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related by the equation PV 14 = C where C is a constant. Suppose that at a certain instant the volume is 340 cm, and the pressure is 97 kPa (kPa = kiloPascals) and is decreasing at a rate of 15 kPa/minute. At what rate is the volume increasing at this instant? The volume is increasing at cm/min Problem 5....
in urgent need with help on these three
What point on the line y-7x + 8 is closest to the origin? Let D be the distance between the two points. What is the objective function in terms of the x-coordinate? (Type an expression.) a. Find the radius and height of a cylindrical soda can with a volume of 398 cm3 that minimize the surface area. b. Compare your answer in part (a) to a real soda can, which has a...
A rectangular coil that has a length of 20.0 cm and a width of
8.5 cm containing 10 loops lies flat on your desk as shown on this
page. A uniform magnetic field of magnitude 5.10 × 10-5 T points
towards the bottom of this page. If a 6.00-A clockwise current
flows through the coil, (a) determine the torque on the coil.
(b) which edge of the coil rises up?
Top
Bottom
Left
None of these
Right
Answer this question. 1.(a) The daily profit, f (x), in hundreds of dollars, for a company that manufactures x radios daily is given by f(x)240x 300 Determine the maximum daily profit of the company. (6 marks) The combined area of a square and a rectangle is 128 cm2. The width of the rectangle is 3 cm more than the length of a side of the square, and the length of the rectangle is 3 cm more than its width. Detemine...
1. Electromagnetic radiation in vacuum impinges on midpoint of face XY of a rectangular piece of acrylic (n = 1.52) that has been rotated at an angle of 45 degrees, as shown in the figure below. If AB = XY = 5 cm, what is the minimum length of sides AX = BY if the ray is not to exit through side A B? Y 01 = 35°
(-) Determine the approdato change of the area de a triangle. Aber where is the length of the triangle base and his the perpendicular height of the triangle (1) changes from (1012) to (10.5122) by using partial derivatives (1 marks) (b) Given a function z(x,y)=8y?+(x +2y2 + xy-10x-2y has a stationary point. Solve 2,2,,2,,2,, and Z. (10 marks) Determine the stationary point of z(x,y). (5 marks) BTB10203 Page 1 of 9 JANUARY 2020 CONFIDENTIAL Determine the type of the stationary...
(1 point) You must design a closed rectangular box of width w, length 1 and height h, whose volume is 530 cm . The sides of the box cost 3 cents/cm2 and the top and bottom cost 5 cents/cm². Find the dimensions of the box that minimize the total cost of the materials used. dimensions = (Enter your answer as a comma separated list of lengths, which will be interpreted as being in centimeters.)
) 8. Suppose a triangle is constructed where two sides have fixed length a and b, but the third side has variable length x You can imagine there is a pivot point where the sides of fixed length a and b meet, forming an angle of θ. By changing the angle θ, the opposite side will either stretch or contract (a) Let K(x)- Vs(s - a)(s -b)(s - x), where s is the semiperimeter of the triangle. Accord ing to...
A candy box is made from a piece of cardboard that measures 25 by 14 inches. Squares of equal size will be cut out of each corner. The sides will then be folded up to form a rectangular box. Find the length of the side of the square that must be cut out if the volume of the box is to be maximized. What is the maximum volume? 14 in. A square with a side of length of 2.88 inches...
The beam has the rectangular cross section shown. A beam of
length 6 meters pin-supported 2 meters from the left end and
roller-supported 2 meters from the right end. The beam has a
rectangular cross section with base length 50 millimeters and
height 150 millimeters. Load: w, uniform along beam.
Part A If w = 4 kN/m , determine the maximum bending stress in
the beam.
Can you please draw out the moment and shear diagrams for this
one using...
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