A bicyclist traveling at 12 ft/sec velocity (ft/sec) puts on the brakes to slow down at a constant rate, coming to a stop in 6 seconds. The figure shows the velocity of the bike during braking. t (secs) a (a) What are the values of a and b in the figure? a = b = (b) How far does the bike travel while braking? The distance traveled while breaking is feet.

Q: A5 feet 6 inches tall man is walking away from a lamppost at a rate of 2 ft/sec. If the lamppost is…

A: We have, A 5 feet 6 inches (5.5 feet) tall man is walking away from the lamppost of height 12 feet…

Q: A snowplow has a maximum speed of 45 mph on a dry highway. It's maximum speed decreases by 0.9 mph…

A: The above model can be written in a linear equation of x and y. By substituting y=0, it can be…

Q: 10. A six foot tall man is walking toward a 10 foot tall light pole at a speed of two feet per…

A:

Q: The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the…

A: GIven: Altitude is increasing at a rate of 1 cm/min Area is increasing at a rate of 4.5 sq. cm/min…

Q: The area of a square is increasing at a rate of 36 centimeters squared per second. Find the rate of…

A:

Q: the time is takes to run 5 kilometer race its descrete or continous

A: Solution: Discrete random variable: A variable is said to be discrete if it takes the positive…

Q: The area of a square is increasing at a rate of 32 centimeters squared per second. Find the rate of…

A: Given : The area of a square is increasing at a rate of 32cm2/sec.

Q: Water leaks out of a barrel so that the rate of change in the water level is proportional to the…

A:

Q: The area of a square is increasing at a rate of 56 centimeters squared per second. Find the rate of…

A: Given data÷ Rate of change of area  =dAdt=56cm2/s Side of square =a=4cm We need to find dadt=?

Q: 5) Sand pouring from a chute forms a conical pile whose height is always equal to the diameter. If…

A: Note: Rate of change of volume of conical pile is equal to rate of change of sand pouring from the…

Q: Water flows into an empty reservoir at a rate of 1000 + 560t liters per hour (t in hours). What is…

A: We use the formula ,the quantity is given by the integral =integration of (1000+560t)dt from 0 to 4.

Q: The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the…

A:

Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

A: Here we use the formula of area of triangle. First we differentiate area with respect to time and…

Q: The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the…

A: given: dA = 5 cm2/min dh = 1 cm/min A = 86 cm2 h = 11 cm   Equation for area of a triangle: A = .5 b…

Q: solve cosh-bx=tanhtx %3D

A: x is real or complex

Q: The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the…

A: Given that  the altitude of a triangle increases at the rate of 1 cm/min while the area of the…

Q: released. The balloon rises at a rate of 6 feet per second. How fast is the angle of elevation of…

A:

Q: Find th

A: We know that the length (s) of an arc of a circle with radius r is given by: s=rθ where θ is the…

Q: The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the…

A: Given- The altitude of  a triangle is increasing at a rate of 1 cm/min. and the area of the triangle…

Q: A potato is launched vertically upward with an initial velocity of 101 ft/s from a potato gun at the…

A:

Q: Solve cosh 2r = tanh-r.

A:

Q: 10. A stone is dropped from a building 256 ft high. How long it takes the stone to reach the ground?…

A: As per given information: Height of building: h=256ft. a) As the formula: As stone is dropped so…

Q: The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the…

A:

Q: The acceleration of a particle as it moves along a straight line is given by a-21 -1. Ifs 1 and y- 2…

A: Given the acceleration of a particle as it moves along a straight line is given by a=2t-1 m/s2, If…

Q: 2. A person who is 6 feet tall is walking away from a lamp post at the rate of 40 feet per minute.…

A:

Q: Solve the equation 5 tanx +7 = 0, for -nSx < 2n. Round to 2 decimal places. Include a diagram and…

A: Solution: The objective is to find a solution to the given equation.

Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

A:

Q: A car travelling north at 60 mph and a truck travelling east at 45 mph leave an intersection at the…

A:

Q: A project tile is launched from ground level with an initial velocity of v0 ft./s. Neglecting air…

A:

Q: An airplane ascends 400 ft at a constant rate as it flies a horizontal distance of 1000 ft. How much…

A: Given that an airplane ascends 400 ft. At constant rate as it flies a horizontal distance 1000ft. We…

Q: A train is moving due west at a constant speed. A passenger notes that it takes 10 minutes to travel…

A:

Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

A: Given data is : dhdt=+3cm/min and dAdt=+3cm2/min h=7cm , A=86cm2 where A is area of triangle, h is…

Q: Water is leaking out of an inverted conical tank at a rate of 1100011000 cubic centimeters per…

A: Given that, Water is leaking out of an inverted conical tank at a rate of 11000 cubic centimeters…

Q: conical reservoir 50 ft deep and 200 ft across the top is falling at the rate of 0.002 ft/hr. How…

A:

Q: A dynamite blast blows a heavy rock straight up with a launch velocityof 160 ft/sec (about 109 mph)…

A: Rock reaches a height of

Q: The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the…

A: Area of triangle=1/2* base*height

Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

A:

Q: The area of a square is increasing at a rate of 64 centimeters squared per second. Find the rate of…

A:

Q: The altitude of a triangle is increasing at a rate of 2.5 centimeters/minute while the area of the…

A: Consider, the altitude of a triangle is "h" ,the base of triangle is "b"and the area of triangle is…

Q: The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the…

A:

Q: ach side of a square is increasing at a rate of 7 cm/s. At what rate is the area of the square…

A: Square: A square is a polygon with four sides and all the four sides are equal. Also all the four…

Q: The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the…

A: Given problem:- The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the…

Q: The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the…

A:

Q: The position of a hummingbird flying along a straight line int seconds is given by s(t)- 6t³ - 13t…

A: Note: As per our guidelines we can solve only one question with maximum 3 subparts.  Here is your…

Q: A6 foot tall man is walking at a rate of 40 metres per mimite directly away from a wall with a toong…

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

Q: At 6 A.M. a snowplow, traveling at a constant speed, begins to clear a highway leading out of town.…

A: Note: Consider the speed is in mi/hr. The formula for speed: Speed=DistanceTime At 8 A.M. an…

Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

A: Given that: Altitude of a triangle is increasing at a rate of 3cm/minArea is increasing at 4.5…

Q: 6) A cat is running straight toward a 8 foot tall brick wall at a rate of 4 feet per second.…

A:

Q: The altitude of a triangle is increasing at a rate of 2.5 centimeters/minute while the area of the…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.