How would you describe arcsin (3/5) to a classmate?

Q: If Arctan gx 3. dx =b Arctan* 3x +C, what is b?

A: Solving the given integral by substitution.

Q: A 5-foot-tall person is walking towards a 7-foot-tall lamppost at a uniform rate of 2 feet per…

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Q: Ivar is eagerly watching a black leaf falling straight down towards a point on the ground whose…

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Q: A kite 100 ft above the ground moves horizontally at a speed of 12 ft/s. At what rate is the angle…

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Q: Benny is observing a rocket that is being launched from a distance 5 km. From his point of view, the…

A: Given, Distance from elevation to point of view is 5km Intial angle of elevation is θ. Change in…

Q: A 6-ft tall man is walking away from a 15-ft tall street lamp at the rate of 5 ft/sec. How fast is…

A: Here we find rate of shadow lengthening.

Q: When a rocket is 8 kilometers high, it is moving vertically upward at a speed of 600 kilometers per…

A:

Q: Please help me on how to perform a test to determine if the equation converges.

A: The integral is given as

Q: What is Arccot(-/3) if 0 < 0 < T?

A: Given that  arccot-3=? It is known that  arccot-x=π-arccot x So, arccot-3=π-arccot3=π-π6=5π6

Q: A boy 5 ft tall is walking away from a streetlight at the rate of 3 ft/sec. If the light is 12 above…

A: In the question it is asked to find the rate at which shadow is lengthening for the movement of boy…

Q: A 15-meter ladder is resting against a vertical wall. if the bottom of the ladder is being pushed…

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Q: A 5-foot-tall person is walking towards a 7-foot-tall lamppost at a uniform rate of 2 feet per…

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Q: An airplane is flying at a constant altitude of 4,400 ft. and passes through as point directly above…

A: Using trigonometric identities

Q: 7. A 6-foot-tall man walks away at the rate of 4 ft/sec from the base of a street light 12 feet…

A: From the question, Height of the man is 6 ft. Height of the street is 12 ft. y=The length of the…

Q: When a rocket is 2 kilometers high, it is moving vertically upward at a speed of 300 kilometers per…

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Q: "A Kite 65 feet above the ground moves horizontally at a speed of 6 ft/s. At what rate is the angle…

A: Given a kite 65 feet above the ground moves horizontally at a speed of 6 ft/s.

Q: When a rocket is 6 kilometers high, it is moving vertically upward at a speed of 100 kilometers per…

A: Let the height of the rocket be h and the angle of elevation from the observer’s eye is x.

Q: When a rocket is 7 kilometers high, it is moving vertically upward at a speed of 100 kilometers per…

A: Given:When a rocket is 7 kilometers high, it is moving vertically upward at a speed of 100…

Q: An 8 ft ladder rests against a vertical wall. If the bottom of the ladder slides away from the wall…

A:

Q: A ladder is 20 feet long leaning against the wall of a house, forming a right triangle. The base of…

A:

Q: When a rocket is 6 kilometers high, it is moving vertically upward at a speed of 600 kilometers per…

A: Set the height of the rocket be h and angle of elevation from the observer's eye is x. dhdt=600

Q: When a rocket is 10 kilometers high, it is moving vertically upward at a speed of 1000 kilometers…

A: To determine the rate of change of angle of elevation with respect to observer.

Q: A ladder 14 ft long rests against a vertical wall. Let 0 be the angle between the top of the ladder…

A: Given:

Q: A fence 20 feet tall runs parallel to a tall building at a distance of 5 f diagram

A: Given, a fence 20 feet tall runs parallel to a tall building at a distance of 5 it from the building…

Q: When a rocket is 3 kilometers high, it is moving vertically upward at a speed of 400 kilometers per…

A: Let the height of the rocket be h and the angle of elevation from the observer’s eye is x.

Q: An 8 ft. ladder rests against a vertical wall. If the bottom of the ladder slides away from the wall…

A:

Q: c. A man 5 ft tall is walking along a straight line at a rate of 3 ft/sec towards a lamp post that…

A: Definition uses-       Similar triangles -        If two triangles are similar then their…

Q: A pedestrian crosses diagonally from one corner of a two kilometer by three kilometer City Park to…

A: Consider the provided question, Given a city park has dimension 2 km x 3 km. Here, width (b) of the…

Q: A 6-ft tall man is walking towards a 15-ft tall street lamp at the rate of 9 ft/sec. How fast is his…

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Q: Two cars start moving from the same point. One travelssouth at 60 mih and the other travels west at…

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Q: A rubber ball is made to fall from a height of 70 feet and is observed to rebound 3/4 of the…

A: The sum, S, of the infinite geometric series, a+ar+ar2+ar3+⋯ is defined as S=a1-r. Here a is the…

Q: Ryan is eagerly watching a yellow flower falling straight down towards a point on the ground whose…

A:

Q: When a rocket is 3 kilometers high, it is moving vertically upward at a speed of 400 kilometers per…

A:

Q: A kite 100 ft above the ground moves horizontally at a speed of 4 ft/s. At what rate is the angle…

A: Here we use trigonometric formulas along with differentiation formulas.

Q: A kite 100 ft above the ground moves horizontally at a speed of 3 ft/s. At what rate is the angle…

A: The diagrammatic representation of the problem is shown below.

Q: A 6ft tall man is walking away from a 15ft tall street lamp at the rate of 5 ft/sec. How fast is his…

A: topic - triangles and rate

Q: An aircraft is climbing at a constant 32 degree angle to the horizontal. If the speed is 550 mph,…

A: Refer to the question . An aircraft is climbing at a constant 32 degree angle to the horizontal and…

Q: . A 6-ft tall man is walking away from a 15-ft tall street lamp at the rate of 5 ft/sec. How fast is…

A:

Q: You are videotaping a race from a stand 132 ft from the track, following a car that is moving at…

A: Form the situation on a right triangle and use trigonometric ratio than differentiate.

Q: How fast is the distance between the range finder and the balloon increasing (in meters per minute),…

A:

Q: An observer who is 3km from a launchpad watches a rocket that is rising vertically. At a certain…

A: Rate of change

Q: 7 dx = x3

A: ∫xndx=xn+1n+1+C1xn=x-n

Q: A man 5 ft tall is walking along a straight line at a rate of 3 ft/sec towards a lamp post that is…

A: According to the given question,

Q: Initially, a pendulum swings through an arc of 2 meters. On each successive swing, the length of arc…

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Q: The energy (in electron-volts) for a photon with a wavelength 260 nm is:

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Q: A lighthouse is located on a small island 3 km away fromthe nearest point P on a straight shoreline…

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Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

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Q: Find the exact value of the function: 0 6 arccos (-/-)

A: See this solution in below

Q: Find the length of the arc y =: 8 1 from X = 1 tox = 4. 4x?

A: Graph: Given: y=x48+14x2. So,          y'=x48+14x2' =x32-12x3.

Q: A person is walking at a rate of 5 ft per hour toward the foot of a flag pole 60 feet high. At what…

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