A ballistic missile is fired using a vertical launching system from a silo (launch site). The missile control center is located at Joint Command Headquarters Defense Region I (KOGABWILHAN I) which is 3 km from the silo. Count it The missile's vertical velocity at its distance from the control center is 5 km and increasing with a speed of 6600 km / hour

Q: A cylindrical steel storage tank is 15 feet tall and 6 feet in diameter. Calculate the change in…

A: Note: As there are two different questions in the picture we will solve the first question by…

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A: Let the length of base edges and vertical edge are x, y and z respectively such that dxdt = +2…

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A: We have to find the amount of work required to pump all of the water over the top edge of the pool.

Q: The measurements of closed rectangular box are length, x = 5m, width y = 3m, and height, z= 3.5m,…

A: In the question it is asked to calculate error in maximum possible volume and surface area

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Q: Approximate the change in the volume of a right circular cylinder of fixed radius r= 19 cm when its…

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Q: An engineer is designing the runway for an airport. Of the planes that will use the airport, the…

A: Given:   To determine: The minimum allowed length for the runway.

Q: Use differentials to estimate the amount of paint needed to apply a coat of paint .05 cm thick to a…

A: Using differential to estimate the amount of paint needed to apply a coat of paint of 0.05cm thick

Q: Two commercial airplanes are flying at an altitude of 40,000 ft along straight-line courses that…

A: The distance between the two planes can be calculated as follows.

Q: A vulcanizing shop has a trapezoidal drum that is 5 meters long, 1.5 meter wide at the top, 1 meter…

A: Given: A drum of length : 5m The drum has a cross section of isosceles trapezoid with length of…

Q: The measure of the linear density at any point of a rod 6 m long varies directly as the distance…

A: Given length of the rod=6 m Linear density at a distance 4 m from one end=3 kg/m We have to find the…

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A: Topic- classification

Q: A rectangular pontoon is 7 m long and 3 m wide. The welghl pontoon is 30 tons. Determine the…

A:

Q: If the original 24 m edge length x of a cube decreases at the rate of 5 m/min, when x = 3 m at what…

A: (a)Given:

Q: A motorcycle traveling at a speed of 34.0 mi/h needs a minimum of 44.0 ft to stop. If the same…

A: Stopping distance is given by the formula d=kv2

Q: Gas is being pumped into a spherical balloon at the rate of 10 cubic inches per second. When…

A: Gas is being pumped into a spherical balloon at the rate of 10 cubic inches per second. The diameter…

Q: A very light cart holding a 8 + 10°N box is moved at constant velocity across a 6.2 m level surface.…

A:

Q: An arrow is shot into the air so that its horizontal velocity is 25 feet per second and its vertical…

A: Given : horizontal velocity is 25 feet per second and vertical velocity is 15 feet per second. we…

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Q: Villa Escudero is about 1,500 hectares. Currently, it is occupied by 15000 persons generates refuse…

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Q: The side of a cube decreases at a rate of 8 m/sec. Find the volume changes, when the side is 6 m. O…

A: Please refer the image.

Q: At a certain moment, an object in linear motion has velocity 100 m/s. Estimate the distance traveled…

A: Given that: At a certain moment, an object in linear motion has velocity 100 m/s To estimate the…

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Q: Determine the volume of the storage tank. Use concepts from Statics that we learned in Chapter 9.

A: The lower portion is a cylinder with radius = r=15 ft and height =h= 30 ft So the volume of the…

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Q: A car weighing 2,800 lbs is driving on a mountain  at a velocity of 60 mph, approaching a fish-hook…

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Q: When a ship is sailing, the total cost per hour includes a fixed part p and the fuel cost q that is…

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Q: The side of a cube decreases at a rate of 7 m/sec. Find the rate at which the volume changes, when…

A: Let the side of the cube be a m Then, given dadt=-7m/sec    (- sign indicates side is decreasing) To…

Q: A hemispherical dome with a diameter of 60 meters has to receive a coat of 5 cm of paint. Use…

A:

Q: A cube with sides 14 inches long is covered with a coat of fiberglass 0.4 inch thick. Use…

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Q: An oil refinery is located 1 km north of a straight river that is 2 km wide. A pipeline is to be…

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Q: Express the mathematical relationship between stress and strain in case of elastic material.

A: The mathematical expression can be related as:

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Q: When a tornado passes near a building,there is a rapid drop in the outdoor pressure and the…

A: Pressure is measured as the ratio of force upon area

Q: The side of an equilateral triangle is increasing at a rate of 3 m/sec, then the rate at which its…

A: Let the side of an equilateral triangle be x cm.∴ Area of equilateral triangle, A = √3/4x2…

Q: /The rigid platform in Figure below has negligible mass and rests on two steel bars, each 250 mm…

A:

Q: A baseball diamond is a square with with side 90 feet (between the bases). A batter hits the ball…

A: Roughly draw the situation first Where x= Distance covered by batter at time t D= Distance of the…

Q: A milk container of height l6 cm is made of metal sheet in the form of frustum of a cone with radii…

A: Given data is : A milk container in the form of frustum. Height h=16 cm Lower radius r1=8 cmUpper…

Q: A ceiling fan has blades 61.0 cm long. What is the linear velocity of the tip of a blade when the…

A: Given the speed of the fan is : 8.50 revolutions per second⇒Angular velocity of the fan (ω)=8.50…

Q: The linear density of a rod of length 4 meters is given by p(x) = 6 + 7Vx measured in kilograms per…

A:

Q: A hemispherical dome has a diameter of 100 m. A searchlight was placed at point A located at the…

A:

Q: A water trough is 14m long and a cross-section has the shapE of an isosceles trapezoid (trapezoid…

A:

Q: A tank originally contains 385 litres of brine holding 470 N of dissolved salt. Eight litres/min of…

A: We will find out the required solution.

Q: The measure of the linear density at a point of a rod varies directly as the third power of the…

A: Since you have asked multiple questions, we will solve the first one for you. If you want any…

Q: The flow rate of water via a 50mm dia. pipe is shown in the table below, into a storage tank with a…

A:

Q: A stream containing 80 grams per liter of a dye is pumped into a mixing tank with 400 liters of…

A: The answer is 32kg

Q: A rocket is launched from an initial height of 50 feet from the ground. It has an initial upward…

A:

Q: The arm of a boom crane is 12 m long. Because of the location of the construction site, the angle of…

A: Topic = Trigonometry