Calculus question and answers for February 05, 2024
- Q An element with mass 970 grams decays by 15 1 per minute How much of the element is remaining after 14 minutes to the nearest 10th of a gram
- Q Consider the function f t 1 21 41 What is the relative rate of change when 1 2 Give your answer to one decimal place
- Q P 8 5 2 500 Calculate E 2 where E is the elasticity of demand
- Q Consider the function f t 1 2t 41 What is the smallest value of such that the relative rate of change is given by R 2 Give your answer as...
- Q Consider the price demand equation given by 8 1 5 2 500 Compute E 1 where E is the elasticity of demand Give your answer to two decimal places Provide...
- Q Find the derivative of the function f t 4 tant f t
- Q Find dy dx by implicit differentiation 2x 5xy y 5 y
- Q Differentiate f v f v V v d
- Q Suppose that f 5 1 f 5 4 g 5 6 and g 5 9 Find the following values a fg 5 b f g 5 c g f 5
- Q Differentiate y y 1 seca tan a
- Q Find the derivative of f x 1 9x x x in two ways Use the Product Rule f x Perform the multiplication first f x Do your answers agree Yes...
- Q If H x x cos x find H x and H x H x H x
- Q Differentiate y y t t 1
- Q Differentiate f x f x sec 2 8 secx
- Q Differentiate y y 26 3 25
- Q Differentiate y y x 6 x x 2
- Q Differentiate f t f t 4t 4 t
- Q 59 A retailer has been selling 1200 tablet computers a week at 350 each The marketing department estimates that an addi tional 80 tablets will sell each week for every...
- Q 29 Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius r
- Q 34 sin 450 Convert each degree measure into radians 35 300 37 100 Convert each radian measure into degrees 36 930 201
- Q 3 Inverse Values 3 pages max 10 pts Find all possible complex values associated with w 2 sin z at z 3 using the quadratic solve approach Identify which of...
- Q 2 Use the limit comparison test to determine if 2 3 n converges or diverges
- Q 1 Use the comparison test to determine if 8 n 1 n 1 n 2 converges or diverges
- Q A thermometer is taken from a room where the temperature is 21 C to the outdoors where the temperature is 13 C After one minute the thermometer reads 10 C...
- Q Use the integral test to determine if the series converge or diverge 1 0 2 n 1 n a b 1 n 2 n ln n
- Q 8 4 points Determine ALGEBRAICALLY if the function f x 3x 8 is even odd or neither
- Q oblem 2 When a golfer strikes a golf ball and we observe the ball s trajectory we can represent its vertical height h measured in feet above the ground after...
- Q A graphing calculator is recommended Use a graphing calculator to evaluate the definite integral rounding your answer to three decimal places Hint Use a command like FnInt or ff x...
- Q blem 5 For the rational function R x a State the domain of R x b Find all zeros 3x 6 x 3 C find c Find all intercepts d...
- Q y f x 89876 32 10 5 y 10 9 8 7 6 5 4 3 2 1 2 234567O9O 3 4 5 6 7 8 9 10 Evaluate g...
- Q 5 f r x f x dx for the function f x graphed below Hint No calculus is necessary just as we used integrals to find areas we can use...
- Q H t 10 9 8 6 5 4 if 1 0 if t 0 dom rang
- Q Determine whether the series n 0 O B converges or diverges If it converges find its sum Select the correct choice below and if necessary fill in the answer box...
- Q EXAMPLE 2 Velocity and acceleration Suppose the position in feet of an object moving horizontally along a line at time t in seconds is s 51 for 0 1 5...
- Q 2 For the quadratic function f x x 7x 10 a Find the vertex b Does the vertex represent a local maximum or a local minimum c State the axis...
- Q 3 Use your calculator to graph f x x x 4x x 5 Then find the following Round 10 pts answers to 2 decimal places as needed a Local maxima...
- Q 5 Solve the inequality State your answer in interval notation 5r 2 0
- Q 3 Use a graphing utility to approximate the real solutions Round to two decimal places Son f x x 4x 2
- Q 77 4x 5y 5 9 1 54321 9 2x 5y 0 6 15 s 4 3 2 1 11 y x 5 54321 y Ay y 23 X 4 X...
- Q The price p in dollars and the quantity x sold of a certain product satisfy the demand equation x 5p 200 Answ parts a through g ww a Find a...
- Q the graph of the quadratic function f to determine the solution a Solve f x 0 b Solve f x 0 a The solution to f x 0 is Type...
- Q 2 12 pts Use long division to divide P x by D x and express P in the form P x D x Q x R x Note that this...
- Q Carol has 1100 ft of fencing to fence in a rectangular horse corral 550 x a Find a function that models the area A of the corral in terms of...
- Q A manufacturer finds that the revenue generated by selling x units of a certain commodity is given by the function R x 100x 0 2x where the revenue R x...
- Q The effectiveness of a television commercial depends on how many times a viewer watches it After some experiments an advertising agency found that if the effectiveness E is measured on...
- Q If a ball is thrown directly upward with a velocity of 24 ft s its height in feet after t seconds is given by y 24t 16t2 What is the...
- Q Find the maximum or minimum value of the function g x 100x 1500x Is this a maximum or minimum value O maximum value minimum value
- Q The graph of a quadratic function f is given f x 4x 8x 1 vertex x intercepts y intercept 5 a Find the coordinates of the vertex and the x...
- Q quadratic function f is given f x x 14x 35 a Express fin standard form f x b Sketch a graph of f 60 40 20 O 60 40 20...
- Q Find the maximum or minimum value of the function f x x 2x 5 Is this a maximum or minimum value maximum value O minimum value
- Q The graph of f x 5 x 9 2 2 is a parabola that opens downward with its vertex at x y and f 9 is the maximum value of...
- Q The quadratic function f x a x h k is in standard form a The graph of f is a parabola with vertex x y b If a 0 the...
- Q 10 0 y 5 10 b Find the horizontal asymptote Enter None if appropriate 5 10 a Find the vertical asymptote s Separate multiple answers with commas Enter None if...
- Q Progress Values of f t are given in the following table The function appears to have a 2 4 6 8 10 f 1 138 134 127 119 106 91...
- Q 5 So far we have been using an artificial example because we could calculate the actual value of 5x 3x 1 dx just by using the Fundamental theorem of calculus...
- Q Suppose that f t is a function with f 25 3 8 and f 25 0 5 Estimate f 26 and f 28 f 26 28
- Q For a function f x we know that f 19 65 and f 19 2 Estimate f 20 f 18 and f 25 f 20 f 18 25 IM Mi
- Q x 5 MR 6 5 36 66 When Hence the required marginal revenue is 66 EXERCISE 6 1 1 Find the rate of change of the area of a circle...
- Q dt Thus the enclosed area is increasing at the rate of 80 cm s when dy Note is positive if y increases as x ncreases and negative if y decreases...
- Q which its volume is increasing with the radius when the later is 10 cm 10 A ladder 5 m long is leaning against a wall The bottom of the ladder...
- Q af f x f x dx for the function f x graphed below Hint No calculus is necessary just as we used integrals to find areas can use areas to...
- Q Solve the right triangle shown in the figure A 34 B C 90 E b 8 29 C 56 B C 10 X 0 b
- Q The function f is defined as follows f x 2x 3 O A if 3 x 0 if x20 a Find the domain of the function b Locate any intercepts...
- Q 3 2 In a right triangle the relaion hypotenuse opposite adjacent is 40 points 1 In a right triangle sec 0 is equal to choose your answer choose your answer...
- Q 1 In a right triangle tan is equal to 1 sine L 2 In a right triangle the relaion hypotenuse opposite adjacer
- Q The price of a home is 170 000 The bank requires a 15 down payment The buyer is offered two mortgage options 15 year fixed at 7 5 or 30...
- Q Find the period and the amplitude y 3 cos 4x period amplitude WW 3
- Q Evaluate if possible the six trigonometric functions of the real number t If not possible enter IMPOSSIBLE 7 6 sin t cos t tan t t m csc t sec...
- Q Each time your heart beats your blood pressure increases then decreases as the heart rests between beats A certain person s blood pressure is modeled by the function p t...
- Q Match the right triangle definition with its trigonometric function a hyp adj b c d e f opp adj opp hyp adj opp hyp opp adj hyp Select Select Select...
- Q Find a formula for the nth partial sum of the series and use it to find the series sum if the series converges 5 5 36 216 5 5 6...
- Q Find the period and amplitude y 3 sin 4 period amplitude
- Q The price of a condominium is 89 000 The bank requires a 5 down payment and one point at the time of closing The cost of the condominium is financed...
- Q Find the degree measure that corresponds to the given radian measure E00 O a 70 7 Ob 22 5 Oc 1440 HY CAM
- Q Listen State the amplitude A and period T of the trigonometric function f x 3 sin x OA 3 T T OA T 3 OA 3 T 2 A 3...
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