The height of a cannonball is h(t) = -16t2 + 64t + 10 feet, where t is measured in seconds. At what time does the cannonball reach its maximum height?

Q: On a college campus of 5,000 students, one student returns from vacation with a contagious flu…

A: Given:

Q: A basketball player shoots a free throw from the foul line.The equation of the path it will travel…

A: The given equation of the path is h=-4.9t2+10t+1.2 Find the derivative of the function…

Q: researcher in physiology has decided that a good mathematical model for the number of impulses fired…

A:

Q: A population of bacteria is growing according to the equation P(t)=800e0.23tP(t)=800e0.23t. Estimate…

A: find explanation below

Q: The position of a particle is given by s(t) 2t3- 12t2 +18t, %3D is in seconds.

A:

Q: A population of bacteria is growing according to the equation P(t) = 750e population will exceed…

A: Equation for bacteria growth is given by- Pt=750e0.04t We have to find out when the population of…

Q: y=Cie3x + C2e¯ 2x + x

A:

Q: The concentration of a drug in the bloodstream C(t) at any time t, in hours, is described by the…

A: Given query is to find the time when to concentration will be maximum.

Q: A rocket is shot straight into the air at an initial velocity of 40 feet / second. The height of the…

A:

Q: Solve this DE (D2+2D+2)y = e-xcscx

A:

Q: The population P of a culture of bacteria is described by the equation P = 1300e0.0527 where t is…

A:

Q: A football is punted into the air. Its height is given by h (t) = -4. 9t² + 24. 5t + 1 where h is in…

A: Given ht=−4.9t2+24.5t+1 We have to find the maximum height of the ball and the time of the ball…

Q: If an object is dropped from a 192-foot-high building, its position (in feet above the ground) is…

A: Given data:   The height of the building is h=192 feet. The given expression for the position of the…

Q: A population of bacteria is growing according to the equation P(t) = 650e".22. Estimate when the…

A:

Q: Engr. Moncada is playing tennis. She hit the ball into the air at a certain height in meters given…

A: The equation of ball into the air at a certain height in meters by the equation h(t) = -24 t2 + 120…

Q: Find a constant solution of y′ = t2y - 5t2.

A: we have to find a constant solution of  y'=t2y-5t2

Q: A toy rocket is launched vertically from 5 feet above ground level with an initial velocity of 112…

A: A toy rocket is launched vertically from 5 feet above ground level with an initial velocity of 112…

Q: An object is thrown upward and its height h(t) in meters after 1 seconds is given by h(t1) = 1 + 4 –…

A:

Q: 3) If a projectile is launched into the air at 29.4 feet per second from a height of 60 feet, its…

A: we can observe that the given expression is a quadratic equation and it will attain its maximum…

Q: A population of bacteria is growing according to the equation P(t) population will exceed 895. 400e0…

A: Given query is to find the time when population exceed 895.

Q: The height in feet of the curved arch support for a bridge can be modeled by f(x) = -0.0009x + 1.24x…

A: In this question we have to find if we are safe to jump while doing bungee.

Q: The average cost of tuition and fees at public four-year colleges in the United States can be…

A:

Q: If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet…

A:

Q: A population of bacteria is growing according to the equation P(t) = 550e0.224, Estimate when the…

A:

Q: The price per barrel of crude oil in the period 1980-2013, in constant 2014 dollars, can be…

A: To find P'(t) and P'(28).

Q: Solve the equation: å oy = Esimpt t ezt-X %3D

A:

Q: Given the function f(a) V5a + 14, solve for f(a) = 0.

A: Given Data: For f(a) = 0   First, substitute the values of the condition in function and then simply…

Q: The United States is not building many nuclear power plants, but the ones it has are running at…

A: Graph of y = 1.9467t + 70.082

Q: The height of a ball after being dropped from a point 100 feet above the ground is given by h = −16t…

A: When the ball is 60 feet above the ground, then h=60. When the ball hits the ground, then h=0.

Q: 5. The height, h(t), in feet, of an object shot from a cannon with initial velocity of 20 feet per…

A:

Q: Antoine stands on a balcony and throws a ball to his dog, who at his ground level. The balls height…

A: Given :   To find the maximum height and the time it takes to reach the maximum height.

Q: The height of a cannonball, h, in meters, over time, t, in seconds, as it is shot off a platform can…

A:

Q: The population of a colony of squirrels is given by 1500 p(t) %3D 3 + 2e-0.1t

A:

Q: A population of bacteria is growing according to the equation P(t)=1700e0.17t. Estimate when the…

A:

Q: A ball is thrown downward from the top of a 180-foot building with an initial velocity of 24 feet…

A: Solution:

Q: The height of a rocket is modeled by h(x) = -(4x-8)(4x-24). About how long after reaching maximum…

A:

Q: The height of an object (in feet) propelled upward is given by the equation, h(t) = - 16t +96t + 112…

A:

Q: Solve dʻy - 2x- xe 2x– xe dx² by using the undetermined coefficient method.

A:

Q: The height of a stone catapulted into the air is given by h(x)=−1/480x2+3x+2 where x is the…

A: Given:  The height of a stone catapulted into the air is given by h(x)=-1480x2+3x+2 where x is the…

Q: A population of bacteria is growing according to the equation P(t) = 1400e , Estimate when the…

A: Given: A population of bacteria is growing according to the equation P(t)=1400e0.09t. The value of…

Q: A population of bacteria is growing according to the equation P(t)=1300e0.14tP(t)=1300e0.14t.…

A:

Q: A stone is thrown upward and it's height in meters of time t seconds is given by h(t)=-4.9t+25t+2.3…

A:

Q: A population of bacteria is growing according to the equation P(t) = 1950eº population will exceed…

A:

Q: The population of a species is modeled by the equation p(t)= -t4 + 72t2 +225, where t is the number…

A:

Q: A computer virus is spreading according to the equation A = 0.5(20'), where t is the time in hours.…

A: Consider the given: The number  A of computer viruses spreading according  to the equation…

Q: use graphs to find approximate solutions 2x = 5

A: Given that, 2x=5

Q: x =t5 -10t², when will the acceleration be zero?

A:

Q: An object is projected upward with a velocity of 50 feet per second from a starting height of 9…

A: The initial velocity of the object is: 50 ft/sec. Initial height of the object is: 9 ft. Height of…

Q: The national catch of Atlantic Cod has been declining in the past few decades. We can model this…

A: