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24. A large model of a pencil was constructed for an art show. It consists of...
4. Give an example of an expression that contains like terms and another that does not...
4. Give an example of an expression that contains like terms and another that does not 5. Simplify each expression. b. - 3xV5yw + 3xyw + 11xV5yw c. 12(x + 2)2 + 15(x + 2) + 18(x + 2)2 6. The formula for the surface area of a right circular cone is 5 m + ml, whereris the radius of the base and lis the slant height of the cone. Find the surface area of a cone with = 2...
PENCIL SQUARE PRISM A pencil square prism (made from the MacGu?n Tree) with a capacity of...
PENCIL SQUARE PRISM A pencil square prism (made from the MacGu?n Tree) with a capacity of 96in3 is to be constructed in the shape of a rectangular box with a square base and an open top. The material for all the sides costs 1.37$/in2 and the material for the base costs 4.11$/in2. The marketing department has determined that the demand for these pencil square prisms is represented by the following function, where p denotes the cup's unit price (in dollars)...
Show work please Optimization problems 1. (5 points) Find two nonnegative numbers whose sum is 25...
Show work please
Optimization problems 1. (5 points) Find two nonnegative numbers whose sum is 25 and so that the product of one number and the square of the other number is a maximum. 2. (5 points) Build a rectangular pen with two parallel partitions using 300 feet of fencing. What dimensions will maximize the total area of the pen? (5 points) An open rectangular box with square base is to be made from 48 ft.2 of material. What dimensions...
6. A rectangular box with an open top is being constructed so that its base is...
6. A rectangular box with an open top is being constructed so that its base is twice as long as it is wide. In addition, the base of the box cost $2 per square foot while the sides cost $1.50 per square foot. We only want to spend $16 on materials for the box. a. Draw a labeled diagram that represents the situation using relevant variables. b. Write a formula for the box's surface area, A, in terms of only...
Question 6 of 20 Select the best answer for the question. 6. If a decorative sign...
Question 6 of 20 Select the best answer for the question. 6. If a decorative sign in the form of a circle has a diameter of 10 feet, what it the area of the sign, to the nearest square foot? A. 31 ft2 B. 79 ft2 C. 16 ft2 D. 157 ft Question 7 of 20 Select the best answer for the question. The sides of a central angle in a circle are A. two radii B. a tangent and...
4) A large slope is constructed as shown in the figure below. A failure surface is...
4) A large slope is constructed as shown in the figure below. A failure surface is considered passing through the crest and the toe of the slope. The soil properties are y= 18 kN/m2, c 0 kPa and =25°. The water table is well below the ground surface Using the theory for the stability of an infinite slope, estimate the factor of safety. [5 а. marks] b. Use Fellenius' method to determine the Factor of Safety against failure. [13 marks]...
Revised by Prof. Kostadinov, Fall 2015, Fall 2014, Fall 2013, Fall 2012, Fall 2011, Fall 2010 Revised by Prof. Africk and Prof. Kostadinov Fall 2015, Spring 2016, #1 Identify the horizontal a...
Revised by Prof. Kostadinov, Fall 2015, Fall 2014, Fall 2013, Fall 2012, Fall 2011, Fall 2010 Revised by Prof. Africk and Prof. Kostadinov Fall 2015, Spring 2016, #1 Identify the horizontal and vertical asymptotes of the following functions using the limit definitions: 2x2 o) yA- #2 Find the derivatives of the following functions using the definition of derivative: a) f(x)-2x-5x #3 Find the derivative v dr of the following functions, using the derivative rules: b) f(x)--2x +3x-4 #4 Find the...
please help with all questions not partly Question 10 Which of the folowing statements is/are true...
please help with all questions not partly
Question 10 Which of the folowing statements is/are true A. A sphere bas radius 3s units. A right circular cylinder has height 4 times its radius, which is a units Te tio of the volue of the eylinder to the splere is 1:9 B. Consider a circle with dismeter dunits and a sare with diagonal d units. Ifa y crauls romd the circle ance and an ant crawls romd the square once, the...
all of them please CU . a) A farmer wishes to enclose a rectangular pen whose area is 168 ft?.On 3 of the sides, he...
all of them please
CU . a) A farmer wishes to enclose a rectangular pen whose area is 168 ft?.On 3 of the sides, he can use regular Fencing, which costs S3/ft. On the remaining side, he must use heavy-duty fencing, which costs S4/ft. Find the dimensions and cost of the most economical fence? ocus b) An open box with a square base must a have a volume of 864 in3. Find the least amount (area) of thin cardboard needed...
Calculates thedimensions for various fish pond configurations. Specifically, theprogram will calculate the volume for...
Calculates the dimensions for various fish pond configurations. Specifically, the program will calculate the volume for the pond in cubic feet, the surface area of the sides and bottom of the fish pond, and the area of a 2-foot wide border around the edge of the pond.Ponds come in predefined sizes and shapes. There are: - circular ponds, diameter: 5 feet - square ponds, side: 5 feet - rectangular ponds, dimensions: 4 feet by 7 feet - ovoid ponds, dimensions:...
4. Give an example of an expression that contains like terms and another that does not 5. Simplify each expression. b. - 3xV5yw + 3xyw + 11xV5yw c. 12(x + 2)2 + 15(x + 2) + 18(x + 2)2 6. The formula for the surface area of a right circular cone is 5 m + ml, whereris the radius of the base and lis the slant height of the cone. Find the surface area of a cone with = 2...
Show work please
Optimization problems 1. (5 points) Find two nonnegative numbers whose sum is 25 and so that the product of one number and the square of the other number is a maximum. 2. (5 points) Build a rectangular pen with two parallel partitions using 300 feet of fencing. What dimensions will maximize the total area of the pen? (5 points) An open rectangular box with square base is to be made from 48 ft.2 of material. What dimensions...
6. A rectangular box with an open top is being constructed so that its base is twice as long as it is wide. In addition, the base of the box cost $2 per square foot while the sides cost $1.50 per square foot. We only want to spend $16 on materials for the box. a. Draw a labeled diagram that represents the situation using relevant variables. b. Write a formula for the box's surface area, A, in terms of only...
Question 6 of 20 Select the best answer for the question. 6. If a decorative sign in the form of a circle has a diameter of 10 feet, what it the area of the sign, to the nearest square foot? A. 31 ft2 B. 79 ft2 C. 16 ft2 D. 157 ft Question 7 of 20 Select the best answer for the question. The sides of a central angle in a circle are A. two radii B. a tangent and...
4) A large slope is constructed as shown in the figure below. A failure surface is considered passing through the crest and the toe of the slope. The soil properties are y= 18 kN/m2, c 0 kPa and =25°. The water table is well below the ground surface Using the theory for the stability of an infinite slope, estimate the factor of safety. [5 а. marks] b. Use Fellenius' method to determine the Factor of Safety against failure. [13 marks]...
Revised by Prof. Kostadinov, Fall 2015, Fall 2014, Fall 2013, Fall 2012, Fall 2011, Fall 2010 Revised by Prof. Africk and Prof. Kostadinov Fall 2015, Spring 2016, #1 Identify the horizontal and vertical asymptotes of the following functions using the limit definitions: 2x2 o) yA- #2 Find the derivatives of the following functions using the definition of derivative: a) f(x)-2x-5x #3 Find the derivative v dr of the following functions, using the derivative rules: b) f(x)--2x +3x-4 #4 Find the...
please help with all questions not partly
Question 10 Which of the folowing statements is/are true A. A sphere bas radius 3s units. A right circular cylinder has height 4 times its radius, which is a units Te tio of the volue of the eylinder to the splere is 1:9 B. Consider a circle with dismeter dunits and a sare with diagonal d units. Ifa y crauls romd the circle ance and an ant crawls romd the square once, the...
all of them please
CU . a) A farmer wishes to enclose a rectangular pen whose area is 168 ft?.On 3 of the sides, he can use regular Fencing, which costs S3/ft. On the remaining side, he must use heavy-duty fencing, which costs S4/ft. Find the dimensions and cost of the most economical fence? ocus b) An open box with a square base must a have a volume of 864 in3. Find the least amount (area) of thin cardboard needed...
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