A The cost of fuel per hour of running a jet aircraft, $C, is a function of its cruising velocity, v km/h: ¿² + 500 000 C(0) = 300 Find the most economical cruising velocity for a journey of 6000 km.

Q: The function f(x) = x3 describes the volume of a cube, f(x), in cubic inches, whose length, width,…

A: Given function is fx=x3

Q: Graph the function f(x) = coordinates are -2,0, and 1. 2a? and draw the tangent lines to the graph…

A: Sketch the function.

Q: A ball is launched vertically upward with a velocity of 256 ft/s, so its position function can be…

A: Given that, s(t)=-16t2+256t

Q: The velocity of a (fast) automobile on a straight highway is given by the function to the right,…

A:

Q: As the water drains from a bathtub, the volume, V, in litres, of water remaining in the bathtub…

A:

Q: The volume V of a right circular cylinder of height h and radius r is V = πr 2 h. If the height is…

A: Given: The volume of a right circular cylinder is, V=πr2h . Here, h is the height of the cylinder…

Q: Find the x-coordinate on the graph of f (x) = x ³ – 12 x where the tangent is horizontal. A) 1,-1 B)…

A:

Q: The deeper you are under water; the less sunlight reaches you. The percent of sunlight, P, that…

A: We will modern the following question by the function in next step.

Q: One yardstick for measuring how steadily-if slowly-athletic performance has improved is the mile…

A: (a).       The function that express the record time for the mile run, M, in terms of number of…

Q: The acceleration of a moving body is given by the function a = 6t +4. If the velocity after 4…

A: Given, Acceleration of the body  a=6t+4 Velocity after 4 seconds = 70m/s Displacement in that time =…

Q: Find the direction in which the function is increasing most rapidly at the point Po. f(x, y) = xey –…

A: To find the direction in which the function is increasing most rapidly.

Q: A jogger ran 4 miles and then walked 2 miles. The average velocity running was 3 miles per hour…

A: Given  A jogger ran 4 miles and then walked 2 miles. Total time is T  The average velocity of…

Q: Find the direction in which the function is increasing most rapidly at the point Po. f(x.y) = xy? -…

A: Given,     f(x,y)=xy2-yx2

Q: An environmental engineer develops a function C(s) that gives the concentration in parts per million…

A: C(s) = Concentration of the pollutant in ppm s = Distance from the point where pollutant is…

Q: The function f(x) = x2 describes the area of a square, f(x), in square inches, whose sides each…

A: Given function fx=x2 To find rate of change of area.

Q: Two cars start at the same time and travel in the same direction along a straight road.  The…

A: Given velocity of car A and car B as a function of time t is,

Q: The wind-chill index is modeled by the function W = 13.12 +0.6215T – 11.37v0.16 + 0.3965TV0.16 ,…

A: When partial differentiation is done with respect to a variable, then other variables are treated as…

Q: The daily temperature in degrees Fahrenheit of Phoenix in the summer can be modeled by the function…

A:

Q: A pebble is embedded in the tread of a rotating bicycle  wheel of diameter 60cm. If the wheel…

A:

Q: As a cold front moved through a midwestern city, the temperature dropped at the rate of 3F per hour…

A: Given: Rate of change in temperature between noon and 8 p.m. = -3∘F. At 1 p.m. the temperature was…

Q: new

A: Please refer to the image below

Q: Find the equation of the tangent to the graph of f(x) = (x² + 28)*/5 at x = 2. 8 96 (A y= 및 + 5 8 (B…

A: givenf(x)=(x2+28)45 at x=2f(2)=(22+28)45=16therfore co-ordinates will be (2,16)slope of…

Q: One company buys a new bulldozer for $126400. The company depreciates the bulldozer linearly over…

A:

Q: Two ships leave port at the same time. One sails south at 18 mi/h, and the other sails east at 24…

A:

Q: The function f(x) = x3 describes the volume of a cube, f(x), in cubic inches, whose length, width,…

A: Given: fx=x3,  x=5 inches

Q: Find the function U, whose first difference is *C,-

A:

Q: The volume V of a right circular cylinder of height h and radius r is V= π r 2h. If the height is…

A: Volume of a right circular cylinder = V = π r2 h where r is radius of cylinder  and h is height of…

Q: The cost, in dollars, of water consumed by a factory is given by the function C(w) = 15 +0.1vw,…

A:

Q: Express the function in the form   f ° g  ° h

A: The given function is Rx=x-1 It is required to show the given function in the form of fogoh. So,…

Q: What is the equation of the function that is obtained from f (x) = ⎷x by shifting 1 unit to the…

A: If we shift f(x)= sqrt(x) 1 unit to right then we get f(x)=sqrt(x-1)

Q: An object moves according to the function h(t) = -t² + 13, where h(t) is the height, in meters, and…

A:

Q: The amount of light intensity on a point is given by the function t2 + 3t + 36 I(t : te (0, 15] t+3

A:

Q: A projectile is fired vertically upward with a velocity of 96 ft/s, so its position function can be…

A:

Q: Both the front and rear wheels of a motor scooter have a reflector attached to their spokes.  The…

A: Given: The front and rear wheels of a motor scooter have a reflector attached to their spokes. The…

Q: From a 27-cm by 27-cm piece of cardboard, square cormers are cut out so that the sides can be folded…

A:

Q: Find the equation of the tangent to the graph of f(x) =(x²+28)*/5 at x =2. 4 64 A y= 3**5 8 64 y=x+5…

A: To find the tangent to the graph of f(x)=x2+2845 at x=2. Here, the equation of the tangent at x=2…

Q: The John Deere company has found that the revenue from sales of heavy-duty tractors is a function of…

A: Given :            The revenue function R(p) = -12 p2 + 1900 p.   To find :   a) The price p when…

Q: The rate (in mg carbon/m3/h) at which photosynthesis takes place for a species of phytoplankton is…

A:

Q: Differentiate the function with respect to the independent variable. f(s) = s° e4 +3e f'(s) =D

A: Consider the given: fs=s3e4+3eDiffrentiate w.r.t.…

Q: The revenue of a multimillion corporation (in million pesos from 2000 to 2010 is modeled by…

A: In this question, we will find the rate at which the company's revenue is changing in 2008.

Q: The height, h, in ceneles, of a pis ton reoving up and down in an engine cylinder modelled by the…

A:

Q: Find the equation of the line tangent to the graph of the function at the indicated point f(x) = x?…

A: Given curve :

Q: 4, A vehicle was traveling along a straight way. The velocity as a function of time is modeled by…

A: Note: We are authorized to answer one question at a time, since you have not mentioned which…

Q: The path of flight (trajectory) of a football thrown by a quarterback is described by the following…

A: We are given the function y(x)=-0.002x2+0.7x+7  where y = vertical position of football relative to…

Q: 1. A truck that delivers essentials in remote areas can travel 85 kilometers. Which of the following…

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: A particle travels along a horizontal line according to the function s(t) = -3t° +t² + 3t – 2 where…

A:

Q: Consider the concentration, C, (in mg/liter) of a drug in the blood as a function of the amount of…

A:

Q: The velocity of Engr. Garcia in meters/sec when he jumped out of the plane given is given by the…

A: Velocity is given by the formula v(h) = (9.8)(2)(h) , where h is the height Here we need to find the…

Q: The amount of light intensity on a point is given by the function t2 + 2t + 16 I(t) te [0,14] t+2

A: In this question, we need to find the time of minimal intensity and the minimal intensity.