NASA launches a rocket at t = O seconds. Its height, in meters above sea-level, as a function of time is given by h(t) - 4.9t +79t+213.

Q: f(x, v) = a² + y² - 4zy.

A: We have given f(x,y)= x2 +y2 -4xy Now, for finding the critical point we have to find partial…

Q: 3. Write the equation of the function graphed below. S(x) = 1,

A: The solution of the given problem is given below. Which is easily infered from the graph.

Q: Graph the function y = x2 over the interval [-2, 2].

A: y=x2 We first make a table for the function x -2 -1 0 1 2 y 4 1 0 1 4

Q: Where is the function y=(x−5) 3 concave down?

A:

Q: - The height in feet reached by a baseball tossed upward at a speed of 48 feet/second from the…

A: Proceed as shown below...

Q: The number of visitors v(t) of a certain park is calculated as a function of the temperature t, in…

A:

Q: The height in feet reached by a baseball tossed upward at a speed of 48 feet/second from the ground…

A:

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

A:

Q: Sketch the curve of f 3x y = f(x) = r³ – 8

A: Given,  y = fx = 3xx3-8  We have to sketch the curve.

Q: The value, V, of a computer can be modeled by the function y) = 1, 300(61)', where t is the number…

A: Given that V represents the value of a computer and t represents the number of years since the…

Q: The annual amount of energy produced in a country from dry natural gas (in trillion cubic feet) can…

A:

Q: If the position function of a moving object is 5(t) t-3t +2 meters from zero in t seconds, then

A: Consider the position of a particle is given by the function x(t). The average velocity of the…

Q: Sketch the graph of the function. f(x, v) = y? + 7

A:

Q: The y-intercept of the function is

A:

Q: The function C(x)=300x+6,000 represents the cost to produce x number of items. How many items should…

A:

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: Consider the function y = 1 2r2

A: To find: The horizontal and vertical asymptotes of fx. Given: The function is fx=2xx2-1. Concept…

Q: the height ( in feet) attained by a rocket t sec into flight is given by the function…

A:

Q: The revenue R of skiing facilities in the united states from 2000 through 2008 can be modeled by…

A: Given, R=1548e0.0617t So, the rate of change of revenue with respect to time dR/dt =  1548 *…

Q: Find the point at which the line f(x) intersects the line g(x) = 2x + 5 = – 2x + 1 -

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: Enter the equation of the function, g(x), whose graph is the result of f(x) = √√x shifted right 6…

A: Please see the below picture for detailed solution.

Q: At what point is the function in Exercise continuous?

A:

Q: Determine the point on the curve for the function H(x)=(-5x+7)(2x+3) where the slope is -1/2

A:

Q: At which ordered pair will the function f(x) = Vx – 4 +7 begin on the coordinate plane?

A:

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: Find the point on the graph of the function f(x) = (x + 5)² that is closest to the point (1,3). %3D…

A: It is given that, f(x)=x+52 that is closest to the point 1,3.We have to find the point on the graph.…

Q: The altitude (in feet) of a rocket t sec into flight is given by s = f(t) = -t³ + 45t² + 440t + 6…

A: the equation given to us is  s=-t3+45t2+440t+6

Q: The height (in meters) of a ballistic t seconds after being launched is modeled by the function h…

A: For an equation for distance, with respect to time, we can find the velocity and acceleration, by…

Q: Consider the function whose output formula is N = f(t) = 175(2)^T . What is the solution for the…

A:

Q: Differentiate the function.  v = t2 - 1 / fourt root of t3

A: Given function is v=t2-1t34. Power rule of differentiation states that: ddxxn=nxn-1 Differentiating…

Q: Differentiate the function y = e0.3t

A: This question is related to differentiation, We will solve it using given information.

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

A:

Q: The annual amount of energy produced in a country from dry natural gas (in trillion cubic feet) can…

A: (a) The given function is gt=15.621.041t. Here the year 2013 corresponds to x = 13. Substitute 13…

Q: A ball is thrown into the air and its position (measured in meters) is modeled by the function…

A: Given that, h(t)=-4.9t2 +60t+5 Find the derivative of h(t).

Q: In 1990, the population of Bend, Oregon was 722. In 2000, the population had grown to 977.  Using…

A: Let us denote t= years after 1990  So, 1990 means t=0 and 2000 means t=2000-1990=10 So the…

Q: The height h in feet of a ball t seconds after being tossed upwards is given by the function…

A: Find time when the ball reaches maximum height

Q: April shoots an arrow upward into the air at a speed of 32 feet per second from a platform that is…

A:

Q: A stone is shot vertically upward. The position function is s(t) = 10 + 50t – 4.9t?

A: The position function is given by st = 10+50t-4.9t2 To evaluate: The time when the stone reaches its…

Q: t4 – 3t3 - What types of discontinuities does the function h(t) have? 3t – 1 -

A: Given function is  h(t) =( t^4-3t^3)/(3t-1)  We have to find the type of discontinuity .

Q: The rate, in calories per minute, at which a person using an exercise machine burns calories is…

A:

Q: The height of a ball being thrown off a roof can be modelled by the function: h (t) =-52 +15t +20,…

A: Hope you understand,  The first derivative of position is velocity. And ground means being at h =0 ,…

Q: A new manufacturer of automobiles in Canada has determined that the q demanded of their brand new…

A:

Q: D = R = Function?

A:

Q: The length of a rectangle is 3 inches more than the width. Which of the following represents the…

A:

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

A: Given: To Find:  How many seconds will it take for the camera to hit the ground?

Q: tổ approximate the change in profit corresponding to an increase in sales (or production) of one…

A: Given that: P=-0.1x3+400x-60, x=50and dx=∆x=1

Q: Graph the function. f(x)= 2 В. O A.

A: Here we have to graph the function f(x)=6x2

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.