A particle is moved along the x-axis by a force that measures 5x 1 pounds at a point a feet from the origin. Find the work done in moving the particle from the origin to a distance of 5 feet. Work = ft-lb

Q: A truck traveling at 44 ft/sec decelerates at a constant 2 feet per second squared. How many feet…

A: Initial velocity =44 ft/ second Deceleration with constant speed of 2 feet/sec2

Q: K M N х+3 7, 4x – 9 R 12

A: Topic-Geometry

Q: A kite flies at a height of 150 feet the wind carries the cut horizontally at 78 ft./s how fast will…

A: r

Q: A runner starts running in a straight track and covers 4.42 km without stopping anywhere . he feels…

A:

Q: How fast is the tip of her shadow

A:

Q: A rock dropped from an unknown height, strikes the ground with speed of 98 m/s. Find the height from…

A: The position function of the rock is given by,The gravity is g=9.8 m/s and the initial velocity is…

Q: W (r) = (R+x)²' where Wo is the person's weight (in Ibs) at sea level (i.e. r = 0) and R is the…

A: Differentiation of a real-valued function gives the idea at which rate the function is changing with…

Q: A ball is thrown vertically upward from the top of a tower 120 ft. with a velocity of 55 ft./sec.…

A: we will use the formula s=ut+12gt2v=u+gt where s is the height,           u is the initial velocity,…

Q: If x and y are real numbers and x>1, prove that there exists a positive integer n such that x" > y

A: x and y are two real numbers and x>1. To prove there exist a positive integer n such that…

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.