A ball weighing 0.2 pounds is thrown vertically upward. Its height after t seconds is given by h(t)=6+8t-16t^2 until the ball strikes the ground again. Find the Work done on the ball by gravity while the ball descends from its maximum height to the ground. Find the work done on the ball on its descent if it is caught 6 feet above ground.

Q: An aeroplane left 30 minutes later than its scheduled time; and in order to reach its destination…

A: let the usual speed of aeroplane = x km/hr and the increased speed = (x+250) km/hr total distance…

Q: How much work is required to pump all the water from a right circular cylindrical tank that is 8…

A: How much work is required to pump all the water from a right circular cylindrical tank that is 8…

Q: No 2 RV shaft of Deep Levels Gold Mining Ltd was designed to handle 255 000 tons of rock per month.…

A: Given that, No 2 RV shat of Deep Levels Gold Mining Ltd was designed to handle 255,000 tons of rock…

Q: The dimensions of a closed rectangular box are measured as 90 centimeters, 80 centimeters, and 60…

A: Given: The dimensions of a closed rectangular box are measured as 90 centimeters, 80 centimeters and…

Q: (2) Researchers have determined that Titan (one of the Moon's of Saturn) has liquid water. If we…

A: The average distance between Earth and Titan is 890.74 Million miles which is about 1433.5 Million…

Q: The length of the rectangle is increasing at a rate of 5 centimeters per second, and its width is…

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

Q: Please help to solve this integration problems

A: In this question we will use basic concepts of calculus i.e application of integration. We will…

Q: A length of blood vessel is measured as 2.7 cm, with the radius measured as 0.7 cm. If each of these…

A:

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: Find the value of integrat

A: Given: ∫12exxdx

Q: A plane is flying at a constant altitude of 1 mile and a speed of 400 mph toward an observer on the…

A: The plane is flying at a constant altitude of 1 mile. Let x be the horizontal distance and y be the…

Q: A ball is projected upward from the ground level with an initial velocity of 96 feet per second.…

A:

Q: Assume that Laguna Lake has a volume of 480km^3 and that its rate of inflow (from Lake Huron) and…

A:

Q: The length of the rectangle is increasing at a rate of 5 centimeters per second, and its width is…

A: Rate of change

Q: Initially 50 pounds of salt is dissolved in a tank holding 300 gallons of water. A brine solution is…

A:

Q: Show that a projectile attains three-quarters of its maximum height in half the time it takes to…

A: Show that a projectile attains three-quarters of its maximum height in half the time it takes to…

Q: Solve the equation in the attached image:

A: Given:

Q: What are the dimensions of the rectangular field of maximum area that can be fenced with exactly 500…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: In a liquid culture, the number of bacteria grows at a proportional rate depending on the number of…

A:

Q: Find the smallest positive root by using fixed- point method f (x) = In(3x)– x² +2 %3D with three…

A: Given: fx=ln3x-x2+2. We have to find the smallest positive root by using fixed-point method with…

Q: find the roots using secant method. Stop until at 15th iteration or when approximate percent…

A: The secant method is xn=xn-1-fxn-1xn-1-xn-2fxn-1-fxn-2. The function is fx=2x4+13x3+29x2+27x+9 Set…

Q: Worker A is a loader and worker B is an unloader. Worker A can load a truck in 10mins, while worker…

A: The time taken by worker A to load the truck is = 10 min  The time taken by the worker B to unload…

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

A:

Q: A plane is flying at a constant altitude of 1 mile and a speed of 400 mph toward an observer on the…

A:

Q: An object is projected upward from ground level with an initial velocity of 500 feet per second. In…

A: Integration is the process of finding the anti-derivative function of a given function. The…

Q: Find the root between (2,3) of x3+ - 2x - 5 = 0, by using regular falsi method correct to three…

A:

Q: use differentials to estimate the amount of metal in a cylindrical can that is 12cm high and 8cm in…

A:

Q: An object is thrown upward from a height of 960ft960⁢ft with an initial velocity of…

A: The equation for the object's height 'h' at time t seconds is given by h(t)=-16t2+V0t+h0 Where V0 is…

Q: The population of a certain bacteria culture was 40,876 after 18 hours had elapsed. After another 20…

A: Given that, The population of a certain bacteria culture was 40,876 after 18 hours had elapsed.…

Q: Assume the learning rate for new skills is proportional to the difference between the maximum…

A: The learning rate for new skills is proportional to the difference between the maximum potential for…

Q: A spotlight on the ground shines on a wall 12 m away. If aman 2 m tall walks from the spotlight…

A:

Q: Water flows out of a hemispherical tank at a rate which is 4 times the square root of its depth. If…

A: GIVEN: Radius of the tank is 8 ft

Q: f(x) = x - e-x?

A: Use bisection method to find a root.

Q: If a ball is thrown vertically upward with a velocity of 25 m/s, then its height after t seconds is…

A:

Q: Assume that Laguna Lake has a volume of 480km^3 and that its rate of inflow (from Lake Huron) and…

A:

Q: A lighthouse is located on a small island 4 km away from the nearest point P on a straight shoreline…

A:

Q: A cylindrical vessel whose diameter and altitude are 26 cm and 500 cm respectively, is filled with…

A: Given  The diameter of cylindrical vessel  dc=26 cm. The altitude of cylindrical vessel is H=500…

Q: As a water tank is being raised, water spills out at a constant rate of 2 ft³ per foot of rise. If…

A:

Q: After an hour, the population of bacteria with a number of P0 found that their number became 3 /…

A:

Q: A body is projected vertically upward such that is height from the ground in feet is h = 50t –…

A: Given, height from the ground in feet is h = 50t – 16.1t2 where t = time in flight in seconds The…

Q: The length of the rectangle is increasing at a rate of 5 centimeters per second, and its width is…

A:

Q: A spacecraft is launched from the surface of a 6.7 x 1024 kg planet. If the spacecraft is moving at…

A:

Q: If a ball is thrown vertically upward with a velocity of 15 m/s, then its height after t seconds is…

A:

Q: A 50-gallon tank initially contains 10 gallons of fresh water. At t= 0, a brine solution containing…

A: We will find out the required time.

Q: The homicide rate decreases at a rate of 3%/yr in a city that had 800 homicides/yr in 2018. At this…

A: dH / dt = rate of change of homicide rate = - 3% = - 0.03 x HPlease see the white board for…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.