Calculus question and answers for February 14, 2024
- Q Two poles are connected by a wire that is also connected to the ground The first pole is 16 ft tall and the second pole is 22 ft tall There...
- Q 1 point The figure below gives the behavior of the derivative of a fu graph G Click on the gr a At what x values does the graph of g...
- Q A rectangular box is going to be made with a volume of 274 cm The base of the box will be a square and the top will be open The...
- Q To carry a suitcase on an airplane with a certain airline the length width height must not exceed 61 inches Part 1 Assuming the base is a square find a...
- Q 0 5 Shown above is the graph of two functions 5 Both are defined for x 0 a The red line shows the function f x or 10 b Find...
- Q Note If you are asked for value s give your answer as a single value e g 17 or a comma separated list e g 1 2 3 or NONE...
- Q WW7 Problem 17 1 point Consider the following graph of a derivative f a At what x values do the points of inflection of f occur 3 b On which...
- Q Find two positive integers such that their sum is 64 and a maximize and b minimize the sum of their squares The two positive integers that maximize the sum of...
- Q You are building five identical pens adjacent to each other with a total area of 1400m as shown in the figure below What dimensions should you use to minimize the...
- Q You have 790 ft of fencing to make a pen for hogs You have a river on one side of your property and will use the river as one side...
- Q You are constructing an open top box for your cat to sleep in The plush material for the square bottom of the box costs 4 ft and the material for...
- Q You need to construct fence around an area of 2601 ft What are the dimensions of the rectangular pen that minimize the amount of material needed ft by
- Q A company plans to manufacture a rectangular box with a square base an open top and a volume of 108 cm Determine the dimensions of the box that will minimize...
- Q Question 4 Find all zeros of the function f x 3x 24x 51x30 Enter the zeros separated by commas Question Help Video Message instructor
- Q A box with a square base and open top must have a volume of 119164 cm We wish to find the dimensions of the box that minimize the amount of...
- Q A cylinder shaped can needs to be constructed to hold 200 cubic centimeters of soup The material for the sides of the can costs 0 04 cents per square centimeter...
- Q A 22 g bullet traveling 255 m s penetrates a 2 0 kg block of wood and emerges going 150 m s Part A If the block is stationary on...
- Q A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of the rectangle Find the area...
- Q An object at rest is suddenly broken apart into fragments A and B by an explosion The fragment A acquires six times the kinetic energy of the fragment B Part...
- Q r 30 O A 20 20 20 OB 20 20 20 O C 20 20 20 O D 20 20 20
- Q 75057 20 sos Choose the correct graph below O A 5 AY 5 5 OB 5 5 O C O D 5 5 5
- Q Identify the symmetries of the curve below Then sketch the curve r sin 2 Identify the symmetries of the curve Select all that apply A The curve is symmetric about...
- Q r 5 cos 50 O A 10 10 OB 10 10 10 O C 10 10 10 OD 10 10 10
- Q Find the slope of the curve below at the given points Sketch the curve along with its tangent lines at these points r 9 9 cos 0 0 The slope...
- Q 5 A table of selected values is given for a one to one function g At z 5 g has a vertical asymptote x g x 5 undefined 2 14...
- Q The figure below gives the behavior of the derivative of a function g x on 2 x 2 Notice that no scale is given on the y axis on the...
- Q Let f x Find the domain and range of f 1 Is it possible to do this without finding the expression for f Explain 1 x 5
- Q Note If you are asked for value s give your answer as a single value e g 17 or a comma separated list e g 1 2 3 or NONE...
- Q Note If you are asked for value s give your answer as a single value e g 17 or a comma separated list e g 1 2 3 or NONE...
- Q 3 Find the inverse of y x 3 and state its domain and range
- Q 1 Consider the function B t that gives the temperature of Boston Massachusetts on a particular day where t is measured in hours after midnight Is B t a one...
- Q Note If you are asked for value s give your answer as a single value e g 17 or a comma separated list e g 1 2 3 or NONE...
- Q 2 The graph of y f x is shown below on the ay plane for 6 6 Is fa one to one function on its domain Explain 10
- Q Owners of a bike rental company that charges customers between 5 and 25 per day have determined that the number of bikes rented per day n can be modeled by...
- Q Consider the following graph of a derivative f a At what a values do the points of inflection of f occur Click on the graph to enlarge it Enter your...
- Q Consider the function f x 2 sin x 3 2 This function has two inflection points which occur at the x values A and B where 0 A B 2T...
- Q Note If you are asked for value s give your answer as a single value e g 17 or a comma separated list e g 1 2 3 or NONE...
- Q Suppose that f x x 3x a List the x values of all critical points of f x 3 Use interval notation to indicate where f x is increasing A...
- Q Note If you are asked for value s give your answer as a single value e g 17 or a comma separated list e g 1 2 3 or NONE...
- Q A company plans to manufacture a rectangular bin with a square base an open top and a volume of 800 cm The cost of the material for the base is...
- Q 8 The profit a company makes by manufacturing and selling a thromdimbulators is given in dollars by p x 0 1 100a 2000 Current production levels are a 300 units...
- Q 1 QUESTION 6 2 points Let F be an antiderivataive of f x 2 e such that F 0 3 Then find F 4
- Q QUESTION 9 3pts Consider f x 1 x 3 a USE Only The Definition of the DERIVATIVE to find f 1 b Find the equation of the tangent line to...
- Q QUESTION 16 3 points Find cos x sin x 6 da
- Q 818 2 7 0002 9
- Q QUESTION 3 2 points Find the derivative of f x In cosa 2 1 x 2 4e
- Q QUESTION 6 2 points Let F be an antiderivataive of f x 1 antiderivataive of f x e find F 4 e 1 such that F 0 3 Then
- Q QUESTION 5 2 points Consider the function f x 23 24x 2 defined on the closed bounded interval 3 3 Find its Global absolute maximum and find its Global absolute...
- Q QUESTION 2 2 points Information on functions f z g z f z and g x for some z is given in the table Let h r gof x I...
- Q Find the slopes of the curve 4 y y x at the two points shown here 43 4 3 Ay 3 4 The slope of the curve y y x...
- Q oblem 5 a Find the value of c that satisfies the conclusion of the Mean Value Theorem for the function f x ln x on the interval 2 16 b...
- Q blem 4 Consider the function f given below x 1 if 1 x 2 x 3 4 if 2 x 5 Which of the following statements is true f x...
- Q 5 0 5 5 Shown above is the graph of two functions Both are defined for a 0 a The red line shows the function 3 10 or f x...
- Q An inverted cylindrical cone 24 m deep and 12 m in diameter across the top is being filled with water at a constant rate of 16 m min At what...
- Q roblem 7 Let f x x In x On what interval is f concave down A e72 17 0 B 0 el7 72 C 0 e72 17 D 0 E...
- Q 1 x 1 You may use the following derivatives Let y 3 Find the values of x for which y is increasing most rapidly and decreasing most rapidly y x...
- Q At noon ship A is 50km west of ship B Ship A is sailing south at 25km h and ship B is sailing north at 30km h How fast is...
- Q Consider the graph of the function f x shown below a Consider the function at the point xl f xl is f xl is b Now consider the function at...
- Q If f is the focal length of a convex lens and an object is placed at a distance p from the lens then its image will be at a distance...
- Q Problem 3 Find the two critical values of the function x x 5 8 3x
- Q Let a h and k be arbitrary real numbers with a Which of the following statements are true about f Select all that apply A An extreme value occurs at...
- Q 6 e 1 e x Let f x On what interval is f increasing B ln 6 C ln 6 D ln 5 E In 5 F A In 6...
- Q Given the following function find the x value of the critical point Determine if the function is increasing or decreasing on the given intervals and deduce what that means for...
- Q Newton s Law of Gravitation says that the magnitude F of the force exerted by a body of mass m on a body of mass Mis GmM 72 where G...
- Q The following is a graph of the function f x e 5x Which of the following is the graph of f x A B Click on a graph to enlarge...
- Q The length of a rectangle is increasing at a rate of 6cm s and its width is increasing at a rate of 5cm s When the length is 30cm and...
- Q Consider the growth of a cell assumed to be spherical in shape Suppose that the radius of the cell r increases at a constant rate per uni time Call the...
- Q In 1905 a Bohemian farmer accidentally allowed several muskrats to escape an enclosure Their population grew and spread occupying increasingly larger areas throughout Europe In a classical paper in ecology...
- Q The pressure P and volume V of an expanding gas are related by the formula PV C where b and Care constants this model assumes adiabatic expansion without heat gain...
- Q The radius r of a sphere is expanding at a rate of 11 metres per minute Determine the rate at which the volume is changing with respect to time when...
- Q Let A be the area of a circle with radius 7 cm If r is increasing at a constant rate of 3 cm s then when r 5 cm the...
- Q Question 2 2 3 5 points a 2 points Suppose a curve is described implicitly by the equation y sin x e cos y Find the equation of the tangent...
- Q sin 0 1 is equal to a cos 0 b cos 8 c sin 0 d sin 0 e cos 0 sin 0 3 E
- Q A 16 foot ladder is leaning against a wall If the top of the ladder slides down the wall at a rate of 3 feet per second how fast is...
- Q A company plans to manufacture a rectangular container with a square base an open top and a volume of 214 cm The cost of the material for the base is...
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