A voltage V across a resistance R generates a current I = VIR. If a constant voltage of 12 volts is put across a resistance that is increasing at a rate of 0.7 ohms per second when the resistance is 7 ohms, at what rate is the current changing? (Give units.)

Q: A kite 100 ft above the ground moves horizontally at a speed of 10 ft/s. At what rate is the angle…

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Q: 1. A balloon, leaving the ground 60 ft from an observer rises 10 fps. How fast is the angle of…

A: Given Data: The horizontal distance between the observer and balloon is: x=60 ft The rate of…

Q: A woltage V across a resistance R generates a current I = V/R. If a constant voltage of 17 volts is…

A: Given, Voltage, V=17 volts Resistance, R=5 ohms The rate of change of resistance with respect to…

Q: A car is traveling at 50 mi/h when the brakes are fully applied, producing a constant deceleration…

A: Given that the initial velocity of the car is 50 mi/h and the deceleration is 40 ft/s2. The…

Q: 10. A bus is traveling at 66 ft/sec along a straight, level road decelerates at constant rate of 22…

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Q: The rectangular tank shown here, with its top at ground level, is used to catch runoff water. Assume…

A: Given: water weighs=62..6 lb/ft3

Q: A hot air balloon rising vertically is tracked by an observer located 4 km from the lift-off point.…

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Q: A voltage V across a resistance R generates a current I = V/R. If a constant voltage of 6 volts is…

A: I=VR here V is constant and that is V=6 I=6R take the derivative with respect to t  dIdt=ddt6R…

Q: A kite 100 ft above the ground moves horizontally at a speed of 5 ft/s. At what rate is the angle…

A: Let's solve given rate of change problem.

Q: 18. A bus traveling at 66 ft/sec along a straight , level road decelerates at constant rate of 22…

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Q: In an electric circuit, E volts is the electromotive force at t seconds, and E = 2sin(2/3)πt. Find…

A: This is a definite integral problem

Q: 3. A light at eye level stands 20 ft from a house and 15 ft from the path leading from the house to…

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Q: A hot air balloon rising vertically is tracked by an observer located 6 km from the lift-off point.…

A: The objective of the problem is to find the speed at which the balloon is rising at the given…

Q: A hot air balloon rising vertically is tracked by an observer located 3 km from the lift-off point.…

A: topic - trigonometric ratios and application of derivatives

Q: A voltage V across a resistance R generates a current I = V/R. If a constant voltage of 6 volts is…

A: A voltage V across a resistance R generates a current I = V/R. If a constant voltage of 6 volts is…

Q: The radius of a circle is decreasing at a rate of 3 cm/sec. At what rate is the area of the circle…

A: The radius of a circle is decreasing at a rate of 3 cm/sec. At what rate is the area of the circle…

Q: A hot air balloon rising vertically is tracked by an observer located 8 km from the lift-off point.…

A:

Q: The radius of a sphere increases at a rate of 4m/sec. Find the rate at which the surface area…

A:

Q: A hot air balloon rising vertically is tracked by an observer located 3 km from the lift-off point.…

A: topic- application of derivatives

Q: A hot air balloon rising vertically is tracked by an observer located 6 km from the lift-off point.…

A: Here we will find how fast is the balloon rising,

Q: 20. If a point R on the unit circle moves along the circle at the rate of 1 unit per second, then…

A: Given: A point R on the unit circle moves along the circle at the rate of 1 unit per second. To find…

Q: .A square tank 4 ft on a side and 10 ft high is filled to the brim with water. Find the time…

A: Let V be the Volume  of the container, Then, dV/dt can be defined as the change in volume i.e…

Q: A hot air balloon rising vertically is tracked by an observer located 6 km from the lift-off point.…

A:

Q: A boat is pulled into a dock by means of a rope attached to a pulley on the dock. The rope is…

A: Given data:   The given height of the pulley is y=7 ft. The given rate at which rope pulled is…

Q: One side of a triangle is increasing at a rate of 6 cm/s and a second side is decreasing at a rate…

A:

Q: A hot air balloon rising vertically is tracked by an observer located 7 km from the lift-off point.…

A: topic - application of derivatives

Q: The radius of a circle increases at a rate of 4 cm/ sec. The rate at which the area of the circle…

A:

Q: The radius of a circle is increasing at a constant rate of 0.2 meters per second. What is the rate…

A: Given, radius of circle is increasing at a constant rate of 0.2 meters per second. ⇒drdt=0.2 m/sec…

Q: A 25-foot ladder is leaning against a house, as shown in the figure below. If the base of the ladder…

A: Using Phthagorous therome, r2 +x2=252  First we find rate of change in r, then we get Dr/dt in terms…

Q: The radius of a circle is increasing at a constant rate of 0.2 meters per second. What is the rate…

A: At the instant when the perimeter of the circle is 20π, then p=2πr20π=2πrr=10 m

Q: and passes directly over a tracking telescope on the ground. When the angle of elevation is ?/4,…

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Q: Assume that the brakes of an automobile produce a constant deceleration of k ft/sec2. (a) Determine…

A: Given,          Assume that the brakes of an automobile produce a constant deceleration of k ft/sec2

Q: 1. A biker is 50 meters away from a pole. The biker starts to ride south parallel to the pole at a…

A: Solution is given below:

Q: winch of radius 5ft is used to lift heavy loads. if the winch makes 10 recolutions every 15 s, find…

A:

Q: A voltage V across a resistance R generates a current I=V/R. If a constant voltage of 6 volts is put…

A: A voltage V across a resistance R generates a currentI=V/R. V is constant and is 6 volts

Q: A conical tank full of water is 25 ft high and 15 ft in diameter at the top. If water is flowing out…

A: Given that,  Rate of water is flowing out of a cavity at the bottom is dVdt=3ft3/min Diameter of the…

Q: A triangle has two constant sides of length 6 ft and 2 ft. The angle between these two sides is…

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Q: A hot air balloon rising vertically is tracked by an observer located 7 km from the lift-off point.…

A:

Q: Two sides of a triangle are 19.2 m and 29 m in length and the angle between them is increasing at a…

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Q: The depth of an under proportional to the tim meters (m) of the came

A: Given that, The depth of the camera under the water is proportional to the time. We have to fill up…

Q: The velocity of an object moving along a line is given by v1t2= 20 cos pt (in ft>s). What is the…

A: Consider the given velocity function as vt=20cospt

Q: 10. A ladder 13 ft. long leans against a vertical wall. If the top slides down at 1.5 ft. per sec.,…

A: Definition used-         In a right angle triangle -…

Q: A hot air balloon rising vertically is tracked by an observer located 8 km from the lift-off point.…

A: From the given information we use trig ratio ,  tan(θ)=oppositeadjacent…

Q: A 12-ft ladder leans against a wall at an angle 6 with the horizontal, as shown in the accompanying…

A: Recall: In an right angled triangle sin(θ)=opposite sidehypotenuse

Q: The radius of a balloon is increasing at the rate of 10cm/sec . At what rate is the surface area of…

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Q: a speed of 8 ft/s. At what rate is the angle between the string and the horizontal A kite 100 ft…

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Q: ositioned 4 meters higher than the boat. If the rope is being pulled in at a rate of 3m/sec, ow fast…

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Q: The distance between two charged particles is d and the electrostatic force F, measured in newtons,…

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