Basic Math question and answers for November 06, 2024
- Q An 8-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the pavement directly away from the building at 1 ft/sec, how fast is...
- Q Water is leaking out the bottom of a hemispherical tank of radius 8 feet at a rate of 2 cubic feet per hour. The tank was full at a certain...
- Q Rachel is a stunt driver, and she's escaping from a building that is about to explode!The variable d models Rachel's distance from her exit (in meters) t seconds after the...
- Q A spherical balloon is inflating with helium at a rate of 400? ft3/min.How fast is the balloon's radius increasing at the instant the radius is 5 ft?at the instant the...
- Q Use a graphing utility to graph the function to approximate (to two decimal places) any relative minima or maxima of the function. (If an answer does not exist, enter DNE.)h(x)=x...
- Q A manufacturer is making cylindrical cans that hold 200 cm. Thedimensions of the can are not specified, so to save manufacturingcosts, the manufacturer wants to make the can that uses...
- Q A cup of coffee is poured when its temperature is 150 Fahrenheit and is placed on a table in a room wherethe temperature is 75 Fahrenheit. Give answers accurate to...
- Q Thefrequency of an ambulance siren f heard by an individual standing on, where is the velocity ofa street corner can be modeled as f:121400330-vthe approaching ambulance.What is the rate of...
- Q A street light is at the top of a 11 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 7ft/sec along a...
- Q The average number of vehicles waiting in a line to enter a parking ramp can be modeled by the functionf(x) =x/5(4-x)where x is a quantity between 0 and 1 known...
- Q Identify the coordinates of any local and absolute extreme points and inflection points. Graph the function.y=x^5-10x^4 + 4 = x^4(x-10)+4Identify the coordinates of the local maximum points. Select the correct...
- Q A company that makes bicycles has determined that a new employee can assemble M(d), where M(d) = 102d/5d+7(a) Find the rate of change function for the number of bicycles assembled...
- Q Answer the following questions about the function whose derivative is f'(x) = x^2(x-4) / x+6, x ? -6a. What are the critical points of f?b. On what open intervals is...
- Q Find the absolute maximum. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.OA. The absolute maximum value 1 occurs at 0 =...
- Q Find the critical points, domain endpoints, and local extreme values for the function.y=6x?16-xWhat is/are the critical point(s) or domain endpoint(s) where f' is undefined? Select the correct choice below and,...
- Q Find the absolute extrema of the function f(x)=x-18x +81 on the interval [-4,4].The function has an absolute minimum at x = .(Simplify your answer. Use a comma to separate answers...
- Q Find the absolute extrema of the function f(x)=x4-72x + 1296 on the interval [-7,7].Find the second derivative of the function.
- Q A farmer has 2100 m of fencing and wants to enclose a rectangular field bordering a river, with no fencing needed along the river. Let x represent the width of...
- Q A rectangular tank that is 8788 ft with a square base and open top is to be constructed of sheet steel of a given thickness. Find the dimensions of the...
- Q Consider the function 3-x/2 if x ? 1f(x) = 1/x if x > 1.Show that f satisfies the conditions...
- Q (a) Construct a 95% confidence interval for the mean lifetime of this type of drill. Use tables or technology. Round your answers to at least two decimalplaces.The confidence interval is
- Q For a certain endangered species, the goal is to have 2700 breeding adults in the wild by 2023. If progress toward this goal continues, the population of breeding adultsin the...
- Q A private shipping company will accept a box for domestic shipment only if the sum of its length andgirth (distance around) does not exceed 120 in. Suppose you want to...
- Q Determine the horizontal asymptote of the function. If none exists, state that fact.3x - 2x27x + 4xf(x) =Select the correct choice below and, if necessary, fill in the answer box(es)...
- Q Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in thousands of dollars) and x represents the amount spent on advertising (in thousands odollars).R(x)...
- Q The number of online buyers in Western Europe grew steadily over the past decade. The functionP(t) = 27.1 + 14.79 In t (1 st?7)gives the number of online buyers as...
- Q Thus, the relative maximum of f(x) = arctan(x) - arctan(x - 8) is(x, y) =
- Q Consider the function.f(x) = 2x + 12x - 24x + 15Step 2 of 2: Determine the open intervals on which the function is increasing and on which the function is...
- Q Find the relative extrema of the function. Use a graphing utility to confirm your results. (Order your answers from smallest to largestx, then from smallest to largest y.)f(x) = sin(x)...
- Q f(x) = 2x - 6x + 48xDetermine the open intervals on which the function is increasing and on which the function is decreasing. Enter to indicate the interval is empty.
- Q Lena is driving to Chicago. Let y represent her distance from Chicago (in miles). Let x represent the time she has been driving (in hours). Suppose that x and yare...
- Q A rock is thrown vertically upward from the surface of an airless planet. It reaches a height of s= 120t- 12t meters in tseconds. How high does the rock go?...
- Q A rectangular garden 98 square feet in area is to be fenced off against rodents. Find the dimensions that will require the least amount of fencing if one side of...
- Q Consider the function:f(x) = -9x - 72x+8Step 1 of 2: Find the critical values of the function. Separate multiple answers with commas.AnswerHow to enter your answer (opens in new window)Selecting...
- Q Determine the location of each local extremum of the function.f(x) = -x-6x-9x+1
- Q f(x) = -x - 8x - 18 Find all values of x that correspond to horizontal tangent lines. Select "None" if the function does not have any values of x...
- Q Consider the function.f(x) = x+8/x2Step 1 of 2: Find all values of x that correspond to horizontal tangent lines. Select "None" if the function does not have any values of...
- Q f(x) = x+3/xStep 1 of 2: Find all values of x that correspond to horizontal tangent lines. Select "None" if the function does not have any values of x that...
- Q f(x) = (4x - 5)Step 2 of 2: Determine the open intervals on which the function is increasing and on which the function is decreasing. Enter to indicate the interval...
- Q A piece of land is shaped like a right triangle. Two people start at the right angle at the same time, and walk at the same speed along different legs...
- Q Analyze the polynomial function f(x) = (x+2)(x - 5)(x+6) using parts (a) through (h) below.(a) Determine the end behavior of the graph of the function.The graph off behaves like y...
- Q Find the derivative of g(t) = e(5+2t)
- Q A sales team estimates that the number of new phones they will sell is a function of the price that they set. They estimatethat if they set the price at...
- Q Graph the equation shown below. Find the coordinates of any local and absolute extreme points and inflection points.y=x4-6x-4.Find the local extreme points. Select the correct choice below and, if necessary,...
- Q Find dy/dx by implicit differentiation.4xy + 4yx = -8dy/dx =
- Q When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.02 cm/min. At what rate is the plate's area increasing when the...
- Q Find the equation of the tangents to the curve y = sin x at x = - ?/2, ? and 2?. Graph the curve over the interval [-3?/2,3?] together with...
- Q If an arrow is shot upward on the moon with a velocity of 58 m/sec, if height (m) after t seconds is given by: h(t)= 58 t - 0.83 t....
- Q Exercise 5. [10 pts] According to a simplified economic model, the purchasing power of 1 dollarin the year 2000+ t is equal toP(t) 0.68(1.040)-dollars. Calculate (you will need a calculator)...
- Q Request Extension-15 -15-15y' =-15Find the derivative of the function.y = In(xvx-5)174-1518-1517. [-/5 Points] DETAILS LARCALC11 5.1.051.19 20-15 -15Assignment Submission & ScoringAssignment SubmissionFor this assignment, you submit answers by question parts....
- Q The revenue equation (in hundreds of millions of dollars) for barley production in a certain country is approximated by R(x)=0.0673x +1.2883x+2.2308 where x is in hundreds of millions of bushels....
- Q Find an equation of the line tangent to the graph of f(x) = (3x + 2) (4x-3) at the point (1,5).The equation of the line tangent to the graph of...
- Q (a) Find the interval(s) on which is increasing.Recall the increasing/decreasing test with respect to a function f. If f'(x) > 0 on an interval, then fis increasing on that interval....
- Q A short length of blood vessel has a cylindrical shape. The volume of a cylinder is given by V=?rh. Suppose an experimental device is set up to measure the volume...
- Q If an object is projected upward from ground level with an initial velocity of 32 ft per sec, then its height in feet after t seconds is given by s(t)=...
- Q Sand falls from a conveyor belt at a rate of 14 m/min onto the top of a conical pile. The height of the pile is always three-eighths of the base...
- Q Letf(x) = -3x + 2x + 1Use the limit definition of the derivative to calculate the derivative of f:f'(x) =Use the same formula from above to calculate the derivative of...
- Q Sand falls from a conveyor belt at a rate of 9 m/min onto the top of a conical pile. The height of the pile is always three-eighths of the base...
- Q Find the horizontal, vertical, and oblique asymptotes of f(x). Then graph f(x).f(x)=6x/x-2Find the horizontal asymptote. Select the correct choice below and, if necessary, fill in the answer box to complete...
- Q A toy rocket is shot vertically into the air from a launching pad 4 feet above the ground with an initial velocity of 152 feet per second. The height h,...
- Q Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)f(x) = x - 6x + 29x - 42(x, y) =Describe the...
- Q Please show all your work in order to get full credit.1.) Let f(x,y) = x/yFind the derivative (for)'(t) in two ways:F(t) = (e, e).(i) (1 pt) First compute the composition...
- Q Find all relative extrema. Use the Second-Derivative Test where applicable. (If an answer does not exist, enter DNE.)f(x) = (4x - 1)
- Q A baseball diamond is a square with side 90 feet. A batter hits the ball and runs toward first base with a speed of 31 ft/s.(a) At what rate (in...
- Q Find the derivative of the functiong(x) = ((4* x - 3*x+1) *e*)
- Q (1 point) Iffind f'(5).Use this to find the equation of the tangent line to the curve y=the form y = mx + b where m is:and where b is:Note: You...
- Q The path of a toy rocket is defined by therelation y = -3x + 11x + 4, where x isthe horizontal distance, in metres,travelled and y is the height, in...
- Q A street light is mounted at the top of a 15-ft-tall pole. A man 6 feet tall walks away from the pole with a speed of 7 ft/s along a...
- Q The path of a toy rocket is given by P (t) = -(t-3) + 21, where t is in seconds, and P is in meters. When is the maximum height...
- Q A point moves along the curve y = x + 1 such that its x-coordinate is increasing at the rate of per second. At what rate is the point's distance...
- Q A thin sheet of ice on the university sidewalk is in the form of a circle. With the sun out and the wind blowing, the area of the ice is...
- Q The tangent line to the graph of y = f(x) at the point (1,8) has the equation y = 7x + 1.(a) Find f'(1).'(1) =(b) Find the instantaneous rate of...
- Q The base of a right triangle is decreasing at a constant rate of 13 cm/sec and in such a way that the triangle alwaysremains a right triangle. At the time...
- Q Among all rectangles that have a perimeter of 188, find the dimensions of the one whose area is largest. Write your answers as fractions reduced to lowest terms.
- Q The total revenue for Fred's Estates LLC is given as the function R(x) = 100x - 0.4x, , where x is the number of rooms rented. What number of rooms...
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