Calculus question and answers for February 17, 2024
- Q The figure below shows f x and its linear approximation at x a y 2x 3 The linear approximation is shown in blue a What is the value of a...
- Q A particular computing company finds that its weekly profit in dollars from the production and sale of x laptop computers is P x 0 007x 0 2x 700x 900 Currently...
- Q Consider the function f x 11 x Find the Taylor polynomial of degree 1 for f about x 14 y Again note that this is just the linear approximation of...
- Q Using a calculator or computer generate a graph like the one shown below by graphing y 2 16 8x 8 and y 2x for 1 x 1 What is the...
- Q Suppose that f x is a function with f 130 64 and f 130 5 Estimate f 128 f 128
- Q The graph of f not f is given below At which of the marked values of is A f x greatest x B f x least x c f x...
- Q The figure below shows a function f x At exactly two of the labeled points f x 0 At all of the labeled points f x 0 Select the correct...
- Q Find the linear approximation L x of f x log x at x 1 and use it to estimate log 1 15 L x log 1 15 Notice that the...
- Q a List the x values of all critical points of f x B Use interval notation to indicate where f x is increasing A function is increasing if larger x...
- Q Given that f 2 6 1 2 and f 2 5 9 4 approximate f 2 6 f 2 6
- Q 1 point You are given the following graph of the function f 5 P 18 5 0 18 1 5 10 5 0 10 4 0 Find the x value...
- Q Claire needs to borrow 12 000 from a local bank She compares the monthly payments for a 5 1 loan for three different periods of time What is the monthly...
- Q Evaluate the following indefinite integrals 3 1 dx 3 b 5x dx 4 4x
- Q 3x 3 Follow the steps for graphing a rational function to graph the function R x 5x 25 OC The function has three vertical asymptotes The leftmost asymptote is rightmost...
- Q Evaluate the following indefinite integrals 4 cos x sin x sin x 2 csc x dx sin x a b dx
- Q Match each of the following graphs with the correct function by placing the letter of the graph on the line provided Each letter can only be used once Do not...
- Q Find the quadrant in which the terminal side of 8 10 radians is located None of the other answers x One Correct Answer Four Three Three
- Q 10 973 Use the following problem to answer the questions below A man flies a kite and lets out 200 feet of string The angle of elevation of the string...
- Q Match each of the following graphs with the expect function by placing the letter of the graper on the line provided Ench letter can only be used unce Do not...
- Q A central angle measuring 165 is in a circle of radius 4 meters Find the length of the arc of the circle subtended by the angle Make the figure before...
- Q Match each of the following graphs with the correct function by placing the letter of the graph on the line provided Each letter can only be used once Do not...
- Q Find the range of the function f x 3 sin 3x 1 5 x Orange 8 2 Correct Answer range 8 2 range 9 2 range 8 2 range 2...
- Q 71 72 The acceleration function in m s and the initial velocity are given for a particle moving along a line Find a the velocity at time t and b...
- Q 5 24 Find the general indefinite integral 5 f 3x 4x 1 dx 7 f x cos x dx 9 f x 7x 5 dx 11 5 3x x dx...
- Q 5 24 Find the general indefinite integral 5 3x 4x 1 dx 7 f x cos x dx S f x 3 7x 25 dx 11 f 5 3x 3x...
- Q Definition The collection of all antiderivatives of f is called the indefinite integral of f with respect to x and is denoted by f x dx Find the most general...
- Q Definition The collection of all antiderivatives of f is called the indefinite integral of f with respect to x and is denoted f x da Find the most general antiderivative...
- Q 37 3i 5 1 39 3 21 4
- Q A street light is at the top of a 12 ft tall pole A woman 6 ft tall walks away from the pole with a speed of 7 ft sec...
- Q Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute It forms a pile in the shape of a right circular cone whose...
- Q Water is leaking out of an inverted conical tank at a rate of 12300 cubic centimeters per min at the same time that water is being pumped into the tank...
- Q At noon ship A is 50 nautical miles due west of ship B Ship A is sailing west at 24 knots and ship B is sailing north at 18 knots...
- Q Next question Get a similar question You can retry this question below Given P x x 2x 25x 50 find the zeros real and non real of P The zeros...
- Q The area of a healing wound is given by A The radius is decreasing at the rate of 3 millimeter per day at the moment when r 49 How fast...
- Q The volume of a cylinder of height 12 inches and radius r inches is given by the formula V 12m dV Which is the correct expression for O O dV...
- Q 20 Find an equation of the largest sphere with center 5 4 9 that is contained in the first octant
- Q y 2e 2x 3x 6 y 0 5 olve the initial value problem above Do not include y in your answer
- Q While taking a walk along the road where you live you accidentally drop your glove but you don t know where The probability density p x for having dropped the...
- Q The probability of a transistor failing between t a months and t Your answer is correct C a If the probability of failure within the first six months is 10...
- Q Find the particular solution to the differential equation below such that y 0 7 y 5e 9x 7x Do not include y in your answer
- Q Based on the table what is the probability that there will be a cost overrun of 50 or more Between 20 and 30 Near what percent is the cost overrun...
- Q Use properties of the indefinite integral to express the following integral in terms of the simplest integrals 3x 5x dx Select the correct answer below 3 3 x dx 5...
- Q 61 If oil leaks from a tank at a rate of r t gallons per minute at 120 time t what does 1 0 r t dt represent
- Q Use properties of the indefinite integral to express the following integral in terms of simpler integrals 8x 2x 3 dx Select the correct answer below 08 8x dx 2 8...
- Q Use derivatives to determine which of the functions below is the anti derivative of 2 Select the correct answer below O 2 In 2 C Ox 2 C O2 C...
- Q Evaluate the following indefinite integral 4x 3 4x6 2x5 3x 3 dx
- Q 57 The area of the region that lies to the right of the y axis and to the left of the parabola x 2y y the shaded region in the...
- Q Use properties of the indefinite integral to express the following integral in terms of simpler integrals 2x 3x 3 dx Select the correct answer below 2 3 dx x dx...
- Q Use properties of the indefinite integral to express the following integral in terms of the simplest integrals 7x Select the correct answer below 07 x dx 2x 07 1 0...
- Q Evaluate the integral above by taking the derivative of each answer choice to determine which function is the antiderivative of 40xe5x Select the correct answer below O Ses C O4e25x...
- Q 44 ST 4 3ex 0 3e 4 sec x tan x dx
- Q Evaluate the integral above by taking the derivative of each answer choice to determine which function is the anti derivative of 5 Select the correct answer below O 5 In...
- Q Using the substitution u 7 6 Re write the indefinite integral then evaluate in terms of u 7x x 6 5 dx 10 0 Note answer should be in terms...
- Q Solve the initial value problem y x 0 dy dx 1 10 y 16 0
- Q 5 24 Find the general indefinite integral 5 3x 4x 1 dx 7 f x cos x dx 6 5 2 x dx 1 8 J x 2 dx x
- Q Thinking 7 Differentiate the following without simplifying f x 4 cos x sin cosx
- Q 5 24 Find the general indefinite integral 3x 4x 1 dx 5 6 5 2 x dx
- Q 6 Suppose the monthly revenue in thousands of dollars for the sale of xhundred units of an electronic item is given by the function R x 40x e 0 4x...
- Q 3 Differentiate each of the following Do not simplify a f x x cos 3x 9x b f x sinx tan x
- Q 1 Determine the derivative with respect to x Simplify fully a f x 12 4x c f x e6xsin 5x b y 1 5e x 2 d f x sin...
- Q 5 Find the slope and equation of the tangent line to the curve f x sin x cos x at x
- Q 4 Determine the equation of the line that is tangent to the function f x 2sinx sin x at the point x 7
- Q Follow the steps for graphing a rational function to graph the function R x ww 3x 3 5x 25 Simplify your answer Type an integer or a fraction OC The...
- Q 2 Determine the derivative of y 2x 3 3 8x Do not simplify
- Q 2 Jypu un muyor ora B xx Type an integer or a simplified fraction C x x 5 Type an integer or a simplified fraction Use a comma to separate...
- Q Problemy 1 Use left or right Riemann sums with 4 rectangles to estimate the following areas 1 f x x from 0 2
- Q 1 4 Verify by differentiation that the formula is correct 1 fln x dx x lnix x C 2 f tan x dx tan x x C 3 S 1...
- Q 1 4 Verify by differentiation that the formula is correct 1 f In x dx x lnix x C 2 tan x dx tan x dx tan x x C
- Q 25 54 Evaluate the integral 3 25 x 2x 4 dx 27 1 3t dt 29 x dx 31 33 0 1 1 dt cos e de 2 26 28...
- Q 4 Imagine you are driving a car on a highway and your distances in meters from a certain point is given by the function s t 30t 2t where t...
- Q 25 54 Evaluate the integral 25 x 2x 4 dx 27 31 1 31 dt 29 S x dx 26 fx100 dx 28 1 8v 16v du f 10 30...
- Q f x 1 sin if x 0 if x 0 0 a Prove that 1 f x 1 for all x b Determine the value of lim o f x...
- Q j limx 2 2 x2 421 8 m lim 0 cos r 1 x Hin k lim 4 4 n lim 2 32 10 x 4x 4 www 3r 2r...
- Q Solve the rational inequality graphically using a graphing calculator Give answers in interval notation If necessary round your answer to the nearest tenth 0 x 1 x x 5
- Q 3 Consider the function k x r sin 1 Show that 0 k r x for a x 0 Find lim o k r using the Squeeze Theorem
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