[SKN]Q1: American Airlines requires that the total outside dimensions (length+width+height) of a checked bag not exceed 62 inches. Suppose you want to check a bag whose height is same as its width. What is the largest volume bag of this shape that you can check on an American Air Flight?

Q: The following diagram shows two cylindrical teapots. The yellow teapot (big) has the same diameter…

A: Since the yellow teapot has same diameter as that of green teapot but is one and half time tall wrt…

Q: The lateral surface area, S, of a cone is given by: S = πr√r²+h² where r is the radius of the base…

A: It is provided that the area: S=πrr2+h2. We need to use the fixed-point method to calculate r when…

Q: Trapezoidal method Quar x³dx for n=6 is equal to Blank 1 ("

A: Please refer to the image below

Q: Let's model R2-D2's body with a cylinder of height 3 feet and radius 0.75 feet and head with a…

A: Given, The radius of the cylinder = 0.75 feet The height of the cylinder = 3 feet The radius of the…

Q: The following diagram shows two cylindrical teapots. The yellow teapot has the same dinmeter as the…

A: Given two tea pots, yellow and green. Since, their diameters are same, let r be the radius of both…

Q: 5. Design a 4m³ open-top box shaped like a circular cylinder as shown in Figure. What dimensions…

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Q: The following diagram shows two cylindrical teapots. The yellow teapot (big) has the same diameter…

A: From the given information, the two tea pots has same diameter and the yellow teapot is one and…

Q: 5. The measurements of closed rectangular box are length, x = 5m, width y = 3m, and height, z =…

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Q: A waterway in a theme park has a semicircular cross section with diameter 11 ft. The boats that are…

A: Consider the figure for the water way and the boat. The circumference of the boat is the equation of…

Q: A student presses a book between his hands, as the drawing indicates. The forces that he exerts on…

A: Given that  A student presses a book between his hands, as the drawing indicates. The forces that he…

Q: (b) Using the defintion only ( A-process) find for y = 2x2 - 4x + 5. or

A: Using the definition derivative of f(x) =lim(h-->0) [f(x+h) -f(x) ]/h

Q: 32. A cylinder (not shown) has radius 2.5 cm and lateral area 20n square centimeters. What is the…

A: Consider the provided question, Given that, radius (r) of the cylinder = 2.5 cm Lateral area(LA) of…

Q: Jim wants to build a rectangular parking lot along a busy street but only has 1,600 feet of fencing…

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Q: Using Trapezoidal method ²x³dx for n=4 is equal to Blank 1 (use 2 decimal places with proper…

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Q: An open box is to be made from a 6 ft by 16 ft rectangular cardboard by cutting out equal squares…

A: Find the maximum volume  by derivative

Q: ved by "the quadratic formula". Be sure to show your work accordingly.

A: We have to choose the correct answer from the given options

Q: A cardboard box without a lid is to be made with a volume of 4 ft3. Find the dimensions of the box…

A: Given details                                                volume = 4 ft3 Let cardboard dimension…

Q: The following diagram shows two cylindrical teapots. The yellow teapot (big) has the same diameter…

A: The volume of a solid is defined as how much space a object takes up. It is measured by number of…

Q: An open box is made from an 8 inch x 8 inch piece of cardboard by cutting equal squares from each…

A: Volume of the box

Q: An open cardboard box is to be made with a volume of 4m'. Find the dimension of the box that…

A: Volume has given, we use surface area of cardboard to solve following question

Q: Ayman wants to put his Arowana fish in a special tank. He would like to DIY the tark to be open,…

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Q: A courtyard at the corner Of two buildings is to be enclosed using z = 86ft of redwood fencing. Find…

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Q: An open rectangular box is to be constructed by cutting square corners out of a 29- by 29- inch…

A: An open rectangular box to be constructed by cutting square corners out of a 29 by 29 inch piece of…

Q: Using Trapezoidal method √³x³dx for n = 6 is equal to Blank 1 (use 2 decimal places with proper…

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Q: 6. Two vertical poles are 10 m apart. The poles are 5 m and 8 m high, respectively. They are to be…

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Q: Find a formula for the volume of the box in terms of æ V(x) = Find the value for æ that will…

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Q: Q1) An object travels on X-axis from point X1 = -10 m to point X2 = 12m and %3D %3D then to point X3…

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Q: OA rectangular field is enclosed by on Four sides by a fence. Fencing costs foot för two opposite…

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Q: 7. Dilate AABC from center P using a scale factor of -1. I B

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Q: Q2. Calculate the maximum volume that can be got from a rectangular sheet (4cmx3cm). The sheet is…

A: To solve this problem, we have to obtain the volume of the open box as a function of some variable x…

Q: Which is faster: a speedboat on water traveling at 70 meters per second, or a supercar on the…

A: We know that 1 mi≈1.61 km  A supercar is travelling 170 miles per hour, therefore it travels…

Q: A rectangular page is to contain 36 square inches of print. The top, bottom, and both side…

A: Area of prited part = 36 sq. inches. Both side marginesare = 1.5 inches.

Q: A rectangular base box must be constructed, with a sheet of cardboard 40 cm wide and 50 cm long,…

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Q: Equal squares are cut from the corners of a cardboard, 16 cm wide and 30 cm long. an open box is…

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Q: An open top rectangular tank with square bases is to have a volume of 10 cu. m The materials for its…

A: Side of square = xh= height of the open boxVolume = side*side*heightx2*h=10h=10x2The surface area…

Q: A rectangular swimming pool measures 25 m by 6000mm. It is surrounded by a path of uniform width. If…

A: We are given that a rectangular swimming pool measures 25m by 6000mm (i.e) 25m by 6m Area of the…

Q: ONotes Evaiuate A box with an open top is to be constructed out of a rectangular piece of cardboard…

A: topic - application of derivatives

Q: Writing will be written on a 68cm2 part of a paper. 1.7cm from bottom and top, 1.2cm from left and…

A: Given: The part of paper's total area is 68cm2 The 1.7 cm from top & bottom margin The 1.2 cm…

Q: A rectangular sheet of perimeter 39 cm and dimentions x cm by y cm is to be rolled into a cylinder.…

A: A rectangular sheet is x cm by y cm.

Q: A piece of cardboard measuring 10 inches by 13 inches is formed into an open-top box by cutting…

A: Length = 13Width = 10 So, when we cut the square of edge, x we get : length of box = 13 - 2xwidth of…

Q: Suppose you make napkin rings by drilling holes with different diameters through two wooden balls…

A: SOLUTION-

Q: Q3 Find the lorgest volume of a lorgest rectongulor by box with no top mode 8m. X 9m. cutting little…

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Q: piece of wire 9 m long is cut into two pieces. One piece is bent into a square and the other is bent…

A: The solution is given below

Q: Q6: A right triangle whose hypotenuse is v3 m long is revolved about one of its legs to generate a…

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Q: Abhinav obtained 65 and 80 marks in first two unit tests. Find the minimum marks he should get in…

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Q: An open cardboard box is to be made with a volume of 4m. Find the dimension of the box that requires…

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Q: A The cost of Ptoducing X uníts of a Product is modeled by C= 240t75X-360 Inx, xz\. Find the minimum…

A: Given,         The cost of producing x units of a product is modelled by           C=240+75x-360lnx…

Q: n the mid-20th century, engineers constructed a series of canals to move irrigation water from water…

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