Fine the distance traveled in 3 seconds by an object moving with a velocity of v(t)=11+7cos(t) feet per second

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A: Given, Water is draining from the bottom of a cone-shaped funnel at the rate of 0.03ft3/sec. The…

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A: Given Initial point is x = 0 V = 50-0.5x a = dV/dt = -0.5 dX/dt a = -0.5V

Q: Total revenue is RCX)=J0,1x²+0.2x² What is rate of (R=, x=units) Change?

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Q: 10. A ladder 15 m long leans against the wall. The ladder slides down the wall at a rate of 1.5 m/s.…

A: Here we use the property of right angle triangle.

Q: Water flows into a conical container at a rate of 7 cm's The radius of the container is 5 cm and the…

A: We have to find rate of change of Radius.

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Q: Find the rate of change of total revenue, cost, profit with respect to time. Assume that R(x) and…

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Q: Gas is escaping from a spherical balloon at the rate of 3 cm3/min. Find the rate at which the…

A: The relation between surface area S and volume V of sphere is given by V=13S r where r is radius of…

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Q: baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base with…

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Q: released. The balloon rises at a rate of 6 feet per second. How fast is the angle of elevation of…

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Q: 3. ) Blood flowing through an artery encounters a resistance of R(x) = }Gr+1)*, where r is %3D he…

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Q: A hot air balloon is hovering above the ground directly 8 meters above its launchpad. The launch pad…

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Q: Use differentials to approximate the quantity. (Give your answer correct to 4 decimal places.) V16.6

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Q: Analytically consider the variation of rainfall around a typical rain gauge that registered 2.0 mm…

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Q: A car moves from rest to a maximum speed of 100m/s. It takes the car 10 seconds to do so. What is…

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Q: A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away…

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Q: An inverted pyramid is being filled with water at a constant rate of 50 cubic centimeters per…

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Q: A ballistic missile is fired using a vertical launching system from a silo (launch site). The…

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Q: A snow ball, in the shape of a sphere, is melting so that its surface area is decreasing at a rate…

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Q: A drum of oil in the shape of a cone is leaking oil at a constant rate of 3cm^3/ hour. The base…

A: Given Base radius of drumR= 7 cm Height of drumH=15 cm  and dVdt=-3 cm3/hour

Q: A boat sails directly toward a 150-meter skyscraper that stands on the edge of a harbor. The angle…

A: Given the data

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Q: A train is moving due west at a constant speed. A passenger notes that it takes 10 minutes to travel…

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Q: The cost per hour of running a freight train is given by C(v) where v is the average speed of the…

A: Introduction: A cost function is a formula that predicts the cost that will be incurred at a given…

Q: Water flows into an empty reservoir at a rate of 3000 + 20t liters per hour (L/h; t is in hours).…

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Q: In Ohm's law, voltage varies directly with current. Graph and upload the direct variation…

A: The solution is :

Q: maximum Rate af change f faxiy)にろメこかyー2メり at (11) and the direction in which it occurs?

A: The maximum rate of change of F at (1,1) = 17 The direction of maximum change of F = <4,1>.…

Q: The earth exerts a gravitational force of F(r) = 2.99x 100 (in Newtons) on an object with a mass of…

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Q: Water is running out of a conical funnel at the rate of 2 cubic inches per second. The radius at the…

A: Let r , h be radius and the height of the surface of water at any time t such that the volume is…

Q: Gas is escaping from a spherical balloon at the rate of 2 cm /min. Find the rate at which the…

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Q: Qi: Calculate the time required to empty the hemispherical tank of radius R = 2 m with a drain hole…

A: " Since you have asked multiple questions, we'll solve the first question for you. If you want any…

Q: . Air is being pumped into a spherical balloon at a rate of 7 cm per second. What is the rate of…

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Q: An inverted pyramid is being filled with water at a constant rate of 60 cubic centimeters per…

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Q: A spherical balloon is being inflated. Find the rate of change of the surface area with respect to…

A: Given a spherical balloon is being inflated.

Q: A spherical balloon is inflated with gas at the rate of 800 cubic centiermeters per minute. How fast…

A: The volume of spherical balloon is given by the formula, V=43πr3 where r is radius of the balloon.…

Q: An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per…

A:

Q: car leaves an intersection traveling east. Its position t sec later is given by  x = t2 + t ft. At…

A: x=t2+ty=t2+3t x(5)=52+5=30 y(5)=52+5×3=40

Q: An inverted pyramid is being filled with water at a constant rate of 45 cubic centimeters per…

A: Given : height of the pyramid = 7 cm Sides = 2 cm

Q: Water is flowing at constant rate of 120 cc/sec in a hemispherical bowl with radius 18 cm. If the…

A: ANSWER: Option a) 0.1669 cm/s