Diana observes a snail moving away from herself. The snail moves 2 inches in 4 seconds. The snail is 9 inches away from Diana after 3 seconds. Write an equation for the snail's distance from Diana, y, as a function of time, x.

Q: The height of a projectile fired vertically into the air (neglecting air resistance) at an initial…

A: The height of projectile f(x) in feet is given by f(x)=96x-16x2, where x is time in seconds. The…

Q: Determine whether the equation defines y as a function of x : 4x = y2

A: For x=1,

Q: Let x represent temperature in degrees Fahrenheit and y be the number of cricket chirps per minute.…

A: Given: x is the temperature in degrees Fahrenheit y is the number of cricket chirps per minute x =…

Q: Does the equation 3x + y2 = 10 define y as a function of x?

A: We will solve the equation for y first.

Q: A tornado drops a piece of wood from a height of 4,624 ft. If the equation for height as a function…

A:

Q: Determine whether the equation defines y as a function of x : x2 + y2 = 16

A: Therefore for each value of x, there exist two different values of y.

Q: tes, a submarine had descended to −400 feet. After 7 minutes, the submarine had descended to −440…

A: It is given that,  After 3 minutes, a submarine had descended to −400 feet.  Let point A(3.-400)…

Q: y = ±5x

A: Given data:   The given expression is y=±5x.   A relation is said to be a function when every…

Q: A parachutist is falling with speed 176 ft/s when his parachute opens. If the Wv? lb, where W is the…

A:

Q: Give the equation for the function whose graph appears above. Use f(x) as the output.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Determine whether the equation defines y as a function of x. 2x = y4 - 16

A: The given equation is 2x=y4-16.

Q: The y-intercept of the function is

A:

Q: Determine whether the equation defines y as a function of x : lxl - y = 5

A: Given that: The  function   x - y = 5

Q: A parachutist is falling at speed of 176 ft/s when his parachute opens. If the air resistance is…

A: Solution is in step 2

Q: What is the y-intercept of the function whose equation is y = 2(3)x?

A: To find y intercept  put x=0

Q: Use the graph of f(x) = x3 to write an equation for the function

A: the graph f(x) reflected over the y-axis and then moved 2 units left and 2 units down.  So new…

Q: Which of the functions has the y-axis as the line of symmetry?

A: Generally we check three kinds of symmetries for the graphs. Symmetry about X axis Symmetry about Y…

Q: The equation that represents the horizontal distance from the rider to the vertical axis as a…

A: Consider a sinusoidal function of the form, y=AcosBx±C±D Here,  A represents the amplitude of the…

Q: 41. y = x² + 2

A: Given, y = x2 +2  To, check whether a given equation in x and y, is a function or not , as y as a…

Q: A quarter falls off a building that is 144 feet tall. If the equation for height as a function of…

A: A quarter falls of a building that is 144 feet tall.The equation for height as a function of time is…

Q: Write the equation for the function graphed below. y f (x) =

A:

Q: Which is the equation of the function?

A: Using Desmos, we get the graph of the functions as follows. The RED represents the function…

Q: A camera is accidentally dropped from a helicopter at a height of 4,096 ft. If the equation for…

A: Given equation is

Q: Can the function be represented by an equation?

A: Yes, We do not need any representation as the function is itself an equation. As, Function shows the…

Q: Determine whether the equation 4x = y2 defines y as a function of x.

A: we have to determine whether the equation  4x=y2 defines y as a function of x.

Q: Solve the equation for y and then determine whether the equation defines y as a function of x:  2x +…

A: Given: Linear equation 2x+y=6 To determine: Solve  the equation for y & to determine whether the…

Q: Alba invested $20,000 and earned 8% annual interest on her investment. Write an equation that models…

A:

Q: Determine whether the equation defines y as a function of x.; |y|=2x+3

A:

Q: A company pays $20 per hour for up to 8 hours of work, and $30 per hour for overtime hours (hours…

A:

Q: The average price for a movie ticket in Detroit, Michigan was $8 in 2010, and it increases at 7% per…

A: To Determine: The average price for a movie ticket in Detroit, Michigan was $8 in 2010, and it…

Q: An earthquake causes a piece of glass to fall off a building from a height of 2,704 ft. If the…

A:

Q: A store charges 1.50 for a 20-oz bottle of sport drink. Which equation best represents the total…

A:

Q: Determine whether the equation defines y as a function of x :  x + y3 = 8

A: Given: x+y3=8 for finding given equation as a function of x, we find value of y in terms of x so,…

Q: Determine whether the equation defines y as a function of x. x2 +  (y - 1)2 = 4

A: we have to determine whether the given equation defines y as a function of x. x2 +  (y - 1)2 = 4

Q: A downtown parking lot charges $5 per hour for the first 2 hours, then $2.50 per hour after that.…

A: Given:  The parking lot charges $5 per hour for the first 2 hours, then $2.50 per hour after that.…

Q: What is the linear equation that was used to generate the values in the table? Write an expression…

A:

Q: Determine whether the equation defines y as a function of x :  lxl - y = 2

A: Vertical line test: Vertical line is use to check graph is graph of function or not. Vertical line…

Q: Write the equation for the function graphed below. y f (x) = 固助 %3D

A:

Q: The cost to rent a paddleboat at Central Park includes an initial fee of $7 plus $3.50 per hour.…

A: Given  the initial fee of renting paddleboat =$7 rate per hour=$3.5

Q: Determine whether the equation defines y as a function of x. x + y2 = 14

A: x+y2=14y2=14-xy=14-x2so y is function of  x but every value does not satisfy for example if we take…

Q: Determine whether the equation 2x + y2 = 6 defines y as a function of x.

A: We have to determine whether the equation 2x+y2=6 defines y as a function of x . We know that for y…

Q: A phone is accidentally dropped from a helicopter at a height of 3,600 ft. If the equation for…

A:

Q: Does the equation x2+y=100 define y as a function of​ x?

A:

Q: Determine whether the equation defines y as a function of x: x + y2 = 5

A: To determine whether the equation given below defines y as a function of x :- x+y2=5 -(i)

Q: y 8- ... ......u

A:

Q: Determine whether the equation x2 + y2 = 16 defines y as a function of x.

A: x2+y2=16 On simplification, we get y2=16-x2⇒y=±16-x2

Q: The number of cats in Eugene is increasing at a constant rate. Four weeks ago, the number of cats…

A: (a) Consider the increase in number of cats in four weeks is, 50000-48000=2000 Then, the rate of…

Q: A downtown parking lot charges $5 per hour for the first 2 hours, then 2.50 per hour after that.…

A: Given that for first 2 hours parking charges = $5 per hour and after 2 hours parking charge = $2.50…

Q: Determine whether the equation x2 + y = 16 defines y as a function of x.

A: Given: x2+y=16

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.