Calculus question and answers for March 01, 2024
- Q Helium is pumped into a spherical balloon at a constant rate of 2 cubic feet per second How fast is the radius increasing after 3 minutes At what time if...
- Q Problem 7 A chain lying on the ground is 14 ft long and weighs 90 lbs How much work is required to raise one end of the chain to a...
- Q Problem 6 Find an integral which represents the volume of the solid obtained by rotating the region enclosed by the curves y x and y 8x about the line x...
- Q Problem 4 Find the area of the region in the first quadrant that is enclosed by the curves x y2 y x 24 and the x axis
- Q 10 Diyagram BD n zerinde BC kenar olan ABC genini g stermektedir B l m A ZBCA n n l s nedir B l m B Y nin de erini...
- Q X The lower edge of a dam is defined by the parabola y see figure Use a coordinate 25 system with y 0 at the bottom of the dam to...
- Q Problem 5 Find an integral which represents the volume of the solid obtained by rotating the region enclosed by the curves y x 2 and y 2x 8 about the...
- Q Problem 3 Which of the following represents the area of the region enclosed by the curves y x and y 2x 8 for 3 x 4 A 3 x 2x...
- Q Problem 2 Evaluate the following integrals Jos a 3 c b 2 0 In x 2 X TU 3 0 dx cos x V1 6 sin x dx sin 8...
- Q Problem 8 Suppose that the temperature of a cup of coffee t minutes after it is poured is given by T t 24 77e kt where k 4 Find the...
- Q Problem 1 Evaluate the following integrals 1 S 5x 177 2 dbx a b je Sesved 4
- Q 1 Define f x 2 for x in 0 1 5 f x 0 for x outside of 0 1 5 Find the area between f x and the x...
- Q Write an equation for the function graphed here 5 4 3 2 f x 3 2 1 2 3 3
- Q The top and bottom margins of a poster are 2 cm and the side margins are each 4 cm If the area of printed material on the poster is fixed...
- Q COS COS COS 3 4x COS 3 Simplify your answer Type an exact answer using x as needed Use integers or fractions for any numbers in the expression
- Q cos arcsin u CHE cos arcsin u Simplify your answer including any radicals Use integers or fractions for any numbers in the expression Rationa all denominators
- Q sin sin 1 sin sin 1 Type an exact answer using radicals as needed Rationalize all denominators
- Q tan arccos 5 an arccos Type an integer or a simplified fraction
- Q y sec 2 HECH y Type an exact answer using as needed Use integers or fractions for any numbers in the expression
- Q xact value of the expression sin 2 sin 2 Type an exact answer using as needed
- Q watch the video that describes finding inverse sine values Click here to watch the video Find the exact value of the expression sin 9 sin 12 0 Type an exact...
- Q expression cos m2 2 Type an exact answer using x as
- Q 9x 49 441 0 a Find the standard form of the equation of the ellipse b Find the center vertices foci and eccentricity of the ellipse Order your answers from...
- Q If a function f has an inverse and f x 1 then f 1 If a function f has an inverse and f x 1 then f 1
- Q Complete the statement y cos 1 x means that x y cos x means that x for 0 y t for 0 syst
- Q Watch the video that describes finding inverse function values Click here to watch the video Find the exact value in radians of the expression cot 1 3 3 cot 1...
- Q Find the center vertices foci and eccentricity of the ellipse Order your answers from smallest to largest x then from smallest to large y 5 x 5 1 1 4...
- Q K Watch the video that describes finding inverse cosine values Click here to watch the video Find the exact value of the expression arccos arccos Type an exact answer using...
- Q Find the standard form of the equation of the ellipse with the given characteristics y 1 3 3 5 2 5 4 7 3
- Q A boat sails directly toward a 150 m skyscraper that stands on the edge of a harbor The angular size of the building is the angle formed by lines from...
- Q Find two numbers A and B with AB whose difference is 44 and whose product is minimizec A B
- Q Find an equation of the ellipse with the given characteristics Vertices 0 18 eccentricity
- Q Find the eccentricity of the ellipse 2 1 x 25 36
- Q Match the equation with its graph x 16 1 15 10 5 15 10 5 y 15 10 5 10 15 10 10 5 5 10 15 10 15 X...
- Q wy oc cos 0 Yo Find the derivative of the inverse cosine using the theorem of the derivative of the inverse function The theorem states let f be differentiable and...
- Q A parcel delivery service will deliver a package only if the length plus the girth distance around does not exceed 120 inches Find the maximum volume of a rectangular box...
- Q Find the vertex focus and directrix of the parabola and sketch its graph Use a graphing utility to verify your graph x 20 y 5 vertex focus directrix No Solution...
- Q A boat is towed toward a dock by a cable attached to a winch that stands 10 ft above the water level see figure Let 0 be the angle of...
- Q Find the x and y intercepts of the graph of the circle If an answer does not exist enter DNE x 10x y 2y 19 0 STEP 1 Consider the...
- Q K Prove the following identity and give the values of x for which it is true COS os sinx 2 1 08 2 c 2x Simplity sin sin x s...
- Q Given the following information evaluate the other five functions RECU and 0 so cos sin 0 35 tan 8 45 4 3 csc 8
- Q Find the standard form of the equation of the parabola with the given graph 6 5 4 2 6 3 2 1 T y 11 9 7 5 3 1...
- Q Match each equation with its graph 5 A A 7 N 2 y Yx 2 B 2 y 7 ay
- Q A woman pulls a sled which together with its load has a mass of m kg If her arm makes an angle of with her body assumed vertical and the...
- Q A rectangular storage container with an open top is to have a volume of 60 cubic meters The length of its base is twice the width Material for the base...
- 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 What is the...
- Q 2200cm of material is available to make a box with a square base and an open top find the largest possible volume of the box Volume cm
- Q Find the length L and width W with W L of the rectangle with perimeter 44 that has maximum area and then find the maximum area L W Maximum area
- Q How would you divide a 16 inch line into two parts of length A and B so that A B 16 and the product AB is maximized Assume that A...
- Q se the graph of f x to discuss the graph of y f x Organize your conclusions in a table and sketch a possible graph of y f x Select...
- Q Antua 9 h D Identify intervals on which f x 0 Choose the correct answer below OA a c c e g h OC d e g h OE b...
- Q Use the graph of y f x assuming f x 0 if x b ord and f x 0 if x 1 to answer parts A through F ANTA E...
- Q Use the graph of y f x assuming f x 0 if x b ord and f x 0 if x f to answer parts A through F ANTA AM...
- Q Use the graph of y f x assuming f x 0 if x b or d and f x 0 if x f to answer parts A through F AVINA...
- Q In Silicon Valley a number of computer firms were found to be contaminating underground water supplies with toxic chemicals stored in leaking underground containers A water quality control agency ordered...
- Q Use the graph of y f x assuming f x 0 if x b ord and f x 0 if x f to answer parts A through F AVD A...
- Q graph of y f x Organize your conclusions in a table and sketch a possible graph of y f x OB The function f is never concave upward Select the...
- Q In Silicon Valley a number of computer firms were found to be contaminating underground water supples with toxic che containers A water quality control agency ordered the companies to take...
- Q In Silicon Valley a number of computer firms were found to be contaminating underground water supplies with toxic chemicals stored in leaking underground containers A water quality control agency ordered...
- Q graph of y f x Organize your conclusions in a table and sketch a possible graph of y f x 12 the juncUUI111ds d Uld III al X Use a...
- Q In Silicon Valley a number of computer firms were found to be contaminating underground water supplies with toxic chemicals stored in leaking underground containers A water quality control agency ordered...
- Q A car rental agency rents 220 cars per day at a rate of 40 per day For each 1 increase in rate 5 fewer cars are rented At what rate...
- Q A company manufactures a variety of camp stoves at different locations The total cost C x in dollars of producing x camp stoves per week at plant A is shown...
- Q Use the graph of y f x assuming f x 0 if x b ord and f x 0 if x f to answer parts A through F AVT 9...
- Q Use the graph of f x to discuss the graph of y f x Organize your conclusions in a table and sketch a possible graph of y f x 300...
- Q Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of f x X 4 your choice OA There is an inflection point at x Type...
- Q Use the graph of y f x assuming f x 0 i x bord and f x 0x f to answer parts A through F Q Q AV VA A...
- Q Use the given information to sketch the graph off Domain All real x lim f x 3 X 1 x 0 3 f x 6 S 3 0 0 1...
- Q Assume f x is continuous on 0 00 Use the given information to sketch the graph off 1 0 3 6 7 1 2 0 f x X f x...
- Q K The figure to the right shows the shape and dimension of a small dam Assuming the water level is at the top of the dam and that the shape...
- Q Drag the choices above into the spaces below A B Q D AY Q U E Ay AY U C F Ay www O 57
- Q 4 Square ABCD is drawn as shown below with the diagonals intersecting at E B A D a State four pairs of equivalent vectors b State four pairs of opposite...
- Q K A 30 m long chain hangs vertically from a cylinder attached to a winch Assume there is no friction in the system and that the chain has a density...
- Q Prove the following identity and give the values of x for which it is true cos sin x 1 x Take the derivative of each side of the equation cos...
- Q Part 1 of 2 A particle travels clockwise on a circular path of diameter R monitored by a sensor on the circle at point P the other endpoint of the...
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