If a ball is thrown vertically upward with a velocity of 15 m/s, then its height after t seconds is y = 15t - 10t^2. What is the maximum height reached by the ball?
Q: Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the…
A: Suppose that the radius of circular pattern is “r” and area of the pattern is “A” then, The area of…
Q: The radius of a right circular cylinder is increasing at a rate of 4 inches per minute, and the…
A:
Q: A cylindrical rod made of ice is melting at a rate of 8 cm3 per minute. When the length of the rod…
A: The formula for the volume of the cylindrical rod is, V=πr2h where r is the radius of the…
Q: two legs of a right triangle are reach 70 cm. if one leg grows at the rate of 5cm/min and the other…
A: The solution is given below in the next step:
Q: The volume of a cube is decreasing at a rate of 24 cubic inches per minute. At the instant when an…
A: Given that The volume of a cube is decreasing at a rate of 24 cubic inches per minute.…
Q: ; Suppose that water is pouring into a swimming pool in the shape of a right circular cylinder at a…
A: Please refer to the image below.
Q: A stone is thrown vertically upward with a velocity of 40 feet per second from the top of a tower…
A: Given that - A stone is thrown vertically upward with a velocity of 40 feet per second from the top…
Q: Suppose that the sides of a cube are expanding at a rate of 2 inches per minute. How fast is the…
A: all details are given in below. please check it
Q: The top of a 10 ft ladder slides down a vertical wall at a rate of 1 ft/sec. How fast is the…
A:
Q: The area of an equilateral triangle is decreasing at a rate of 4 sq. cm. per minute. Find the rate…
A: Given,dAdt=-4 cm2/minA=100cm2Let,x=side of the equilateral triangle find dxdt when dAdtis decreased…
Q: Suppose that water is pouring into a swimming pool in the shape of a right circular cylinder at a…
A: To solve the following problem of finding the rate of change in height
Q: the
A:
Q: A trough is 10 feet long and its ends have the shape of isosceles triangles that are 3 feeta cross…
A: To find: The rate of incresing level of the water. Given information: The trough is 10 feet long…
Q: A 6-ft-diameter cylindrical tank is filled with water to a height of 10 ft. It is drained such that…
A:
Q: Suppose that water is pouring into a swimming pool in the shape of a right circular cylinder at a…
A: Rate of change
Q: When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.04…
A: When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.04…
Q: Suppose that water is pouring into a swimming pool in the shape of a right circular cylinder at a…
A: Let V is the volume of the pool. Water is pouring at the rate of 9 cubic feet per minute, means…
Q: A water trough is 8 feet long, and its cross section is an equilateral triangle with sides 4 feet…
A: (a) Height of an equilateral triangle of side length s, is given by, h=3s2 ft
Q: The area of an equilateral triangle is decreasing at a rate of 4 sq. cm. per minute. Find the rate…
A: Given that The area of an equilateral triangle is decreasing at a rate of 4 sq. cm. per minute.…
Q: The original 24 m edge length of a cube decreases at the rate of 2 m divided by two minutes When x=1…
A:
Q: At 2:00 PM a car’s speedometer reads 30 mih. At 2:10 PMit reads 50 mih. Show that at some time…
A: Given At 2:00 PM a car’s speedometer reads 30 mih. At 2:10 PM it reads 50 mih.
Q: A plate in the shape of an equilateral triangle expands with time. The length of a side increases at…
A: Given that the length of side increases at a constant rate of 2 cm/h find out at what rate is the…
Q: If the sides of an equilateral triangle are increasing at a rate of 6 m/min. How fast is the area of…
A:
Q: A rectangle's length is increasing at the rate of 5 inches/sec, its width at 2 inches/sec. At what…
A:
Q: An arrow is launched upward with a velocity of 288 feet per second from the top of a 85-foot…
A: Given height of building 85 foot. Initial velocity u=288 feet/second Final velocity v=0 and a=g=-9.8…
Q: The money supply needed to generate $1500 of nominal GDP with money velocity of 20 is
A:
Q: A point is moving along the graph of x3y2 = 200. When the point is at (2, 5), its x-coordinate is…
A: Given that a point is moving along the graph x3y2=200 and it's x-coordinate is changing at the rate…
Q: The radius of a right circular cone is increasing at a rate of 5 inches per second and its height is…
A:
Q: All the edges of a cube are expanding at a rate of 6 centimeters per second. How fast is the volume…
A:
Q: When a circular metal plate is heated in an oven, its radius increases at the rate of 0.02 cm/min.…
A:
Q: A right triangle has legs of 18 inches and 24 inches whose sides are changing. The short leg is…
A: A right triangle has legs of 18 inches and 24 inches. The short leg is decreasing by 3 in/sec. The…
Q: A projectile is launched upward with a velocity of 160 feet per second from the top of a 75-foot…
A: Given Data: The velocity of the projectile is: v=160 ft/s The height of the stage is: h0=75 ft The…
Q: Use differentials to approximate the change in the area of a square if the length of its side…
A: Area of a square with a side length of x cm is, Ax=x2 Here, x=5 cm & ∆x=5.32-5=0.32 cm Now…
Q: If the radius of a sphere is increasing at the constant rate of 3 inches per second, how fast is the…
A: Given dr/dt = 3
Q: A girl is using a straw to drink coke from a right cylindrical glass at a rate of 6 cubic…
A:
Q: Suppose the side of a cube is decreasing at a rate of 2 feet per hour. What is the rate of change of…
A: Given: ds/dt=2 side=4ft
Q: A piece of wire, 370 cm long, is to be bent into an isosceles triangle. What should the exact…
A: given: A piece of wire, 370 cm long, is bent into an isosceles triangle. we have to determine what…
Q: A 6 foot tall man walks away at the rate of 4 feet per second from the base of the street light 12…
A: Let s be the length of the base of the street light to the shadow, x be the length of the base of…
Q: water leaking onto a floor creates a circular pool with an area that increases at the rate of 3…
A: Let A=π r2 differentiating A with respect to time tdAdt=2πr…
Q: A right triangle has legs of 33 inches and 44 inches whose sides are changing. The short leg is…
A:
Q: All edges of a cube are expanding at a rate of 9 centimeters per second. How fast is the volume…
A:
Q: The kinetic energy of an object varies jointly with its mass and the square of its velocity. What…
A: let: Kinetic energy be k Mass be M. Velocity be V The kinetic energy is directly proportional to…
Q: A cone shaped icicle has an initial radius of 10 inches and a height of 15 inches. Once the height…
A:
Q: A 7 foot long snake is crawling along the corner of a room. It is moving at a constant 2/3 foot per…
A: Given Length of snake = 7 feet Speed of snake = 23feet per second We need to calculate the rate at…
Q: A light sits on the ground 20 feet away from a very tall wall. A 5-foot-tall person walks toward the…
A:
Q: A right triangle has legs of 18 inches and 24 inches whose sides are changing. The short leg is…
A: Given: A right triangle has legs of 18 inches and 24 inches whose sides are changing. The short leg…
Q: A right triangle has legs of 33 inches and 44 inches whose sides are changing. The short leg is…
A: Given: A right triangle has legs of 33 inches and 44 inches . The short leg is decreasing by 4…
Q: A stone is thrown vertically upward from a point 1.5 m above the earth’s surface with an initial…
A:
Q: Suppose that water is pouring into a swimming pool in the shape of a right circular cylinder at a…
A:
Q: Mohamad Salah poured orange juices into a cylindrical red tank whose height = of its radius. If the…
A: We have to find rate of change of Radius.
If a ball is thrown vertically upward with a velocity of 15 m/s, then its height after t seconds is y = 15t - 10t^2. What is the maximum height reached by the ball?
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
- If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.An object is thrown upward from a height of 960ft960ft with an initial velocity of 112ft/s.112ft/s.How long will it take for the object to reach the ground?two legs of a right triangle are reach 70 cm. if one leg grows at the rate of 5cm/min and the other shrinks at tha rate of 5cm/min. how fast is the area of the triangle changing?
- A rock is projected upward from 250-ft building with an initial velocity of 96 feet per second. Find the number of seconds it will take the ball to reach its maximum height. What is the maximum heightThe length of the rectangle is increasing at a rate of 5 centimeters per second, and its width is decreasing at a rate of 3 centimeters per second. When the length 4 centimeters and the width is 5 centimeters, how fast is the area of the rectangle changing at that instant?A light is hung 6 meters above a straight horizontal path. If a man 2 meters tall is walking toward the light at the rate of 1.7 meters per second, at what rate is the tip of the man's shadow moving in meter/s per second?
- You have to sketch the integration of the first graphA light is hung 7m above straight horizontal path. If a man 2meters tall is walking toward a light at the rate of 1.6meter per second,how fast is the length of his shadow changing in meter/s per second?A spotlight on the ground shines on a wall 12 m away. If aman 2 m tall walks from the spotlight toward the building ata speed of 1.6 m/s, how fast is the length of his shadow onthe building decreasing when he is 4 m from the building?
- The area of an equilateral triangle is decreasing at a rate of 4 sq. cm. per minute.Find the rate at which the length of a side is changing when the area of the triangleis 100 sq. cm.Suppose that water is pouring into a swimming pool in the shape of a right circular cylinder at a constant rate of 9 cubic feet per minute. If the pool has radius 7 feet and height 11 feet, what is the rate of change of the height of the water in the pool when the depth of the water in the pool is 8 feet?A 25,000 machiene depreciates linearly to 0 over a ten year period.What is the value of the machiene after 6 years?