a. Show that these data can be modeled by a linear function, and find a formula for the function. b. Calculate V(10) and explain in practical terms what your answer means. c. Galileo found that the acceleration due to gravity of an object falling near Earth's surface was 32 feet per second per second. Physicists normally denote this number by the letter g. If Galileo had lived on Mars, what value would he have found for g?

Q: Consider the following position function. a. Find the velocity and speed of the object. b. Find the…

A: Given,

Q: Question # 10 Calculate The Average Speed Reference Q. 15261 Al and Bob, who live in North…

A: We have to find the average speed.

Q: The function y=e−3x is vertically stretched by a factor of 4, reflected across the y-axis, and then…

A: Given

Q: Assume that y varies jointly with x and the square root of z. f  y=30 when x=3 and z=25, then find…

A: Given y varies jointly with x & square revt at Z .If y = 30 when x = 3 & z = 25 .We have…

Q: 4) A pendulum has a length of 0.25 m. Recall that the period of a pendulum is given by the formula T…

A:

Q: In 1993, the moose population in a park was measured to be 3800. By 1999, the population was…

A: Given that In 1993 the moose population in a park=3800 In 1999 the moose population in a park=5600…

Q: The average water level in a retention pond is 6.8 ft. During a time of drought, the water level…

A: We will solve the following.

Q: In 1994, the moose population in a park was measured to be 3540. By 1999, the population was…

A: Formula , slope of line  m = ( y2 - y1 ) / ( x2 - x1 )

Q: The following table of values gives a company's annual profits in millions of dollars. Rescale the…

A:

Q: In 1991, the moose population in a park was measured to be 3870. By 1999, the population was…

A: Here first we find the formula for P(t), which will be the line passing through two given points.…

Q: dP The rate of pressure increase that a particular diver feels as they desend is given by = 3y2 +…

A: dPdy=3y2+12y+7⇒dP=3y2+12y+7 dy Now integrating on both sides, we get ∫dP=∫3y2+12y+7…

Q: Evaluate the value of the Г(15/4) (b) r(3/4)

A: Here we have to evaluate the value of given expression.

Q: TASK Double Ferris Wheel Some amusement parks have a double Ferris wheel, which consists of two…

A:

Q: Question 5 Mr. Martinez drove an average of 65 mph on his trip. The table shows how far he drove…

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.