A rectangular beam is to be cut from a cylindrical log of diameter 20cm. Express the cross sectional area of the beam as a function of the angle.

Q: If a rock is thrown upward on the planet Mars with a velocity of 10m/s, its height (in meters) after…

A: This is application of derivative problem

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

A:

Q: Based on Degree two function: V x (V f) = ? О 1

A: Answer: None of these.

Q: In an isosceles right triangle, the hypotenuse is increasing at a rate of 0.1 ft/s. When the area of…

A:

Q: Find the velocity v of an ocean freighter that is traveling 30° south of east at 30 km/hr.

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Q: The gravitational force, F, between an object and the Earth is inversely proportional to the square…

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Q: To what constant deceleration would a car moving along a straight road be subjected if the car were…

A: The first equation of motion states that, v = u+at, here v is the final velocity, u is the initial…

Q: Based on the scatterplot predict the value of y when x = 30 %3D

A: The slope of the regression is downward sloping   we can see that As the X increase, the value of Y…

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

A: Let the horizontal distance be x. From the given data of question: And the diagram is:

Q: A certain escalator travels at a rate of 13.4 meters per minute, and its angle of inclination is…

A: So from the triangle we have: Answer(a): Vertical component of the velocity is 6.1667 meters per…

Q: With snow on the ground and falling at a constant rate, a snowplow began plowing down a long…

A:

Q: Find the velocity v of an ocean freighter that is traveling northeast (45° east of north) at 40…

A:

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: Find a linear speed of a tip of minute hand if a length of the minute hand is 7 cm long. Hint @==…

A:

Q: inder is decreasing c inches. At what

A: this is the problem of application of differential Calculus.

Q: The rectangles in the figure have been drawn to approximate g(x) dx.

A: Left Rectangle approximation :The left rectangle approximation uses the left top vertices of the…

Q: Find the velocity, v, of the tip of the minute hand of a clock, if the hand is 8 cm long. cm per…

A: Given  r= 8 cm or 0.08 m  Calculate linear velocity (v) Formula for linear velocity is given by  V =…

Q: In the electric currect​ flow, it is found that the resistance​ (measured in the units called​ ohms)…

A: Resistance R ∝ 1/D2 R = k/ D2; where k is the proportionality constant. A wire 0.01 inches in…

Q: The pressure exerted by a certain Iiquid at 0 given point varies directly as the depth of the point…

A: Given pressure of liquid at a point is directly proportional to the depth of the surface at the…

Q: A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole…

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Q: The intensity of illumination falling on a surface from a given source of lightis inversely…

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Q: Find the time required for a square tank of side 6 ft and depth 9 ft to empty through a one inch…

A:

Q: A plane flying with a constant speed of 24 km/min passes over a ground radar station at an altitude…

A:

Q: Find The gh teim of

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Q: A street light is mounted at the top of a 15-ft-tall pole. A man 6 feet tall walks away from the…

A:

Q: Find the maximum area of a triangle formed in the first quadrant by the x-axis, y-axis and a tangent…

A: We have to find the maximum area of a triangle formed in the first quadrant by the x-axis, y-axis…

Q: One speed skater starts across a frozen lake at an average speed of 9 m/s. Ten seconds later, a…

A:

Q: a of 3 inche tall and has a radius of 2 inches How fast does the water level rise when the water is…

A:

Q: A street light is mounted at the top of a 15-ft-tall pole. A man 6 feet tall walks away from the…

A:

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: If the velocity of a moving object is v(t)=t-2/t^2 in meters per second, then what is its…

A: We have to find displacement

Q: If a ladder of length 20ft which is leaning against a vertical wall has its upper end sliding down…

A: Given : Length of the ladder = 20 ft

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: A stone was dropped off a cliff and hit the ground with aspeed of 120 fts. What is the height of…

A: Initial velocity = 0 ft/s Final velocity= 120 ft/s Acceleration= a= 32.2 ft/s^2 Let the height = h…

Q: The strength of magnetic force varies inversely with the square of the distance between the magnets.…

A: Given query is to find the work required to move the magnets.

Q: A street light is mounted at the top of a 15-ft-tall pole. A man 6 feet tall walks away from the…

A: Diagram of the given question will be as following x is the distance of the man from pole y is the…

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

A:

Q: An aircraft is climbing at a 300 angle to the horizontal. How fast is the aircraft gaining altitude…

A: An aircraft is climbing at a constant 30 degree angle to the horizontal and the speed is 500 mph…

Q: 11

A: A tangent is a line segment which touches the circle at only one point. A tangent is perpendicular…

Q: What is the velocity (in ft/s) of a sandbag 3.0 s after it is released from a hot-air balloon that…

A: According to Questions  Initial velocity (u)=0 ft/s  time=t=3s

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: After a ball bounces off from the top of a hill, its velocity at t seconds is v(t)=45-30t feet per…

A: Given velocityv(t) = 45 - 30t

Q: A 2,792.1 Hz sound has a velocity of 5100 m/s in glass and 5940 m/s in steel. The wavelength (m) of…

A:

Q: The force of the wind blowing on a vertical surface varies jointly as the area of the surface and…

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Q: A small hole on the sack of rice cause some rice to be wasted while the sack is being lifted…

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: at a velocity of 3 ft/

A: Given the spring constant is 9 lb/ ft.

Q: When a bullet is fired into a sand bank, its retardation is assumed equal to the square root of its…

A: Given is the retardation equal to square root of velocity. WE need to find time t it will take to…

Q: A rectangular beam will be cut from a cylindrical log of radius 10 inches. Suppose that the strength…

A: Solve the given problem

Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.