An.oil storage tank breaks at t = 0 and the oil leaks from the tank with a speed of "(t) = 75e-0.014 much.oil escapes durina the first hour? (Roundyour answer liters per minute. How to the nearest liter.

Q: 4. A boy is flying a kite at a height 150 ft. If the kite moves horizontally away from the boy at…

A: Given query is to find the rate of change of length of string.

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A: Explanation and solutions is given below....

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A: Topic- application of derivatives

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A: We have to solve this question:

Q: A 13-foot ladder is leaning against a vertical wall (see figure) when Jack begins pulling the foot…

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A: Explanation of the answer is as follows

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Q: 10. A boy is flying a kite at a constant height of 60 ft. If the kite is moving horizontally at the…

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Q: 7. A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base…

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Q: A 25-foot ladder is leaning against a house, as shown in the figure below. 25 ft sec +X→ If the base…

A: a). Put x = 15, we get b). Put x = 24, we get

Q: A 10-foot ladder is leaning against a vertical wall (see figure) when Jack begins pulling the foot…

A:

Q: A rock is thrown upward with a velocity of 27 meters per second from the top of a 23 meter high…

A: The height is h(t) = (-1/2)gt2 + v0t + h0 Where g= 9.8 m/s2           v0 = 27 m/s         h0 = 23m…

Q: A kite 50 ft above the ground is moving horizontally at a rate of 4 ft/s. At what rate is the string…

A: Assume  horizontal distance from original position is x diagram according to problem

Q: (1) An ultrasound imaging device measures a time of 5.2 × 10$ seconds for sound waves to return to…

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Q: The depth of the water in a tank is changing at a rate of r)= 3 In(t). t centimeters per minute…

A: dh/dt = 3×t×lnt Solving this equation .

Q: An object is moving so that it's velocity after t hours is v(t)=te^-t^2 mph. How far does it travel…

A: Hey the equation of velocity that you have written is v(t)=t·e-t2mph following is the solution to…

Q: A 13-foot ladder is leaning against a vertical wall (see figure) when Jack begins pulling the foot…

A: Recall: Pythagoras Theorem:        Pythagoras theroem states that In a right angled triangle , the…

Q: A 25-foot ladder is leaning against a vertical wall (see figure) when Jack begins pulling the foot…

A: The ladder makes a right triangle with the wall.  So using Pythagorean theorem:

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Q: Water is pouring into an inverted cone at the rate of 12 cubic meters per minute. If the height of…

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Q: A 10​-foot ladder is leaning against a vertical wall​ (see figure) when Jack begins pulling the foot…

A: Here we have to find the rate of change.

Q: A 25-foot ladder is leaning against a vertical wall (see figure) when Jack begins pulling the foot…

A:

Q: A 13-foot ladder is leaning against a vertical wall (see figure) when Jack begins pulling the foot…

A: Given: Length of ladder = 13-foot Distance between foot of ladder & foot of wall=12 - foot The…

Q: A 13-foot ladder is leaning against a vertical wall (see figure) when Jack begins pulling the foot…

A:

Q: Q1/ Water poured into a conical tank through a faucet, this tank has a base radius of 5 ft and 10 ft…

A: Solution:

Q: 1. A spotlight at a building corridor is fastened to a wall 8 m above the floor. A lady 1.75 m tall…

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Q: 11. An airplane is flying parallel to the ground at an altıtude of 2 km and at a speed of 4 km/min.…

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Q: An inverted pyramid is being filled with water at a constant rate of 65 cubic centimeters per…

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Q: The length l, of a cylindrical balloon is in- creasing at a rate of 3 cm per second while the radius…

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Q: A child flies a kite at 90ft. The wind is carrying the kite horizontally away from the child at a…

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Q: A particle moving along a straight line has a velocity of v(t) = t² e-t feet per second after t sec.…

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Q: A rocket rising from the ground has a velocity of v(t)=2,000 te-t/180 ft/s, after t seconds. How far…

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Q: The area of a circle increases at a rate of 5 cm2 /s. a. How fast is the radius changing when the…

A: Definition used -              Area of the circle  -                                   A =πr2…

Q: The sides of a square increase in length at a rate of 4 m/sec. a. At what rate is the area of the…

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Q: on the moon, the acceleration of a free falling object is a(t) = -1.6 meters per second per second.…

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Q: Water is pouring into an inverted cone at the rate of 12 cubic meters per minute. If the height of…

A: According to our terms and condition i have solved first question for next question repost

Q: 1. A man on a wharf, whose hand is 8.2 m above the level of the water surface is pulling a rope tied…

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Q: A ship leaves port at 2:00 PM and travels S30°E at the rate of 50 km/hr. Another ship leaves the…

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Q: 6. At noon, ship A is 150 km west of ship B. Ship A is sailing east at 40 km/hr and ship B is…

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Q: A ball is thrown vertically upwards with a velocity of 48 ft/s from the top of a building 35 ft…

A: topic-equations