Calculus question and answers for March 18, 2024
- Q ketch the graph of the piecewise defined function 3 x x 1 h x y 10 10 5 5 J J 5 5 10 5 5 10 10 10 if...
- Q Use a graphing utility to graph the function and estimate its domain and range Then find the domain and range algebraically Enter your answers using interval notation X 41 domain...
- Q Use the graph of the function to find the domain and range of f Enter your answer using interval notation domain range b f 1 c d LLLLLLL f 3...
- Q The following limit is a definition of f a Determine the function f x and the value of a 4 h 4 h TH lim h 0
- Q The limit below is a definition of f a Determine the function f x and the value of a lim h 0 f x 2 5 h 0 4 h
- Q Compute the following limit 9x 7 9x 2 lim 818 Select the correct choice below and fill in any answer boxes in your ch A lim X 8 9x 7...
- Q Refer to the figure below to find the limit lim f x X 0 4 5 0 5 0 5 Q Select the correct choice below and fill in any...
- Q Refer to the graph at the right to find the limit lim 4 f x X 8 Select the correct choice below and fill in any answer boxes in your...
- Q Use limits to compute f x f x f x 9x X 2
- Q Use limits to compute f x f x 1 13x f x
- Q Use limits to compute the derivative f 5 if f x 4x3 f 5 Simplify your answer
- Q Suppose that lim f x 9 and lim g x 3 Compute the limits that exist X 4 X 4 a lim f x 3g x X 4 b lim...
- Q Determine whether lim f x exists If so give the limit X 2 What is the value of the limit Select the correct choice below and if necessary fill in...
- Q 36 T limsin 3x 0 1 0 01 0 001 0 0001 x 0 X 0 1 0 01 0 001 0 0001 sin 3x X a b C d...
- Q Let f x be a continuous function for which we know f 1 1 f 4 4 f 1 4 and f 4 16 Find the value of the definite...
- Q Let f x be a function with first order derivative f x second order derivative f x etc We know that So f x da 7 and f 0 1...
- Q Ashton has an offer to buy an item with a sticker price of 4900 by paying 140 a month for 48 months Which of these groups of values plugged into...
- Q Using the substitution usin 2 25 S where the constants K 25 x dx we obtain m K sin u cos udu m r 25 r dx C and n...
- Q Question 1 14 points Consider the function f x 2x 6 2x r3 a Factor the numerator and the denominator of f x as much as you can b Write...
- Q For the following exercises consider the function f x 1 x x 32 T Make a table showing the values of f for x 0 01 0 001 0 0001...
- Q T In the following exercises set up a table of values and round to eight significant digits Based on the table of values make a guess about what the limit...
- Q For the following exercises consider the function f x x 1 x 1 30 T Complete the following table for the function Round your solutions to four decimal places X...
- Q A Lorenz curve is given by y L x where 0 x 1 represents the lowest fraction of the population of a society in terms of wealth and 0 sys1...
- Q the following exercises set up a table of values to find the indicated limit Round to eight digits x 4 x 2x x 6 38 lim X 1 9 1...
- Q ercises 65 74 Use the graph of f to determine intervals where fis creasing and where f is decreasing 65 3 1 T 321 2 23 2 3 23 X
- Q What is the net signed area between f x 2x 5 and the x axis over the interval 1 6 Do not include any units in your answer
- Q a A radioactive material decays according to the formula w 7 64 e 0 05 t 1 Find the half life of the material 2 How long will it take...
- Q Find the area of the region described The region in the first quadrant bounded by y 5 and y 5 sin x on the interval The area of the region...
- Q A Lorenz curve is given by y L x where 0 x 1 represents the lowest fraction of the population of a society in terms of wealth and 0 y...
- Q Perform a first derivative test on the function f x x 5x 2 5 5 a Locate the critical points of the given function b Use the first derivative test...
- Q Find the area of the shaded region shown in the figure which is not shown to scale COL
- Q Perform a first derivative test on the function f x x 5x 2 5 5 a Locate the critical points of the given function b Use the first derivative test...
- Q Find the area of the following region expressing your result in terms of the positive integer n 2 The region bounded by f x x and g x x n...
- Q Find the area of the shaded region shown in the graph CE 20 y 20 sin x y 20 cos x R 2 O
- Q Find the net signed area of f x X the interval 0 6 2 over
- Q Given the function f x 3x 10 find the net signed area between f x and the x axis over the interval 6 2 Do not include any units in...
- Q Directions The following function f x has one relative maximum and one relative minimum point Find these points using the First Derivative Test and a sign chart f x x...
- Q Directions Use the function f x below to answer the following questions Part 1 Intervals Find the open interval s on which f is increasing decreasing 1 Increasing 2 Decreasing...
- Q Part 1 Intervals of Concavity 1 Find the open interval s on which f is concave up 2 Find the open interval s on which f is concave down f...
- Q Directions Consider the following function f a at a 2 Part 1 Difference Quotient If h0 then the difference quotient can be simplified into the form 2 A f 2...
- Q Directions Use the equation given below to answer the following question Derivative Use implicit differentiation to calculate da dy Note that we are calculating the derivative of z with respect...
- Q Find an equation of the tangent line to the given function at a 2 y x 4 6 f x x X
- Q Directions Use the equ Part 1 Derivative dy Calculate the derivative by implicit differentiation da dy da Part 2 Evaluation Evaluate the derivative at the point 0 2 dy da...
- Q 7 Determine the values of the trigonometric functions of a where sin a 25 tan Type a simplified fraction and cos a 24 25
- Q Given the function f x 4x 8 find the net signed area between f x and the x axis over the interval 5 6 Do not include any units in...
- Q Use the figure and any appropriate relationship s among circular functions to find the value tan 5x 6 Select the correct choice below and if necessary fill in the answer...
- Q Use the given figure and any appropriate relationship s among circular functions to find 3 sin 4 0 1 14 4 4 1 0 Ay 4 4 11x 0 1...
- Q Use the following figure and any appropriate relationship s among circular functions to 9x find tan 4 4 1 0 10 4 1 1 43 WIM 4 G 0 1...
- Q Use the x y coordinates in the figure to find the value of the trigonometric function at the indicated real number s or state that the expression is undefined COS...
- Q Use the x y coordinates in the figure to find the value of the trigonometric function at the indicated real number s or state that the expression is undefined 7x...
- Q Use a calculator in radian mode to find approximations for coss and sins for the number s 3 86 These are NOT exact values they are only approximations Then determin...
- Q Use a calculator to approximate sin 5 8916 and cos 5 8916 sin 5 8916 Round to four decimal places
- Q estion What is the net signed area between f x 2x 3 and the x axis over the interval 4 2 Do not include any units in your answer Provide...
- Q Question Given the function f x x 2 find the total area between f x and the x axis over the interval 5 1 Provide your answer below
- Q Question Find the total area between the function f x 2x and the x axis over the interval 3 3 Provide your answer below
- Q Determine the point on the graph of the unit circle that I I 2 corresponds to Then findcos andsin and state 2 which functions are undefined for I cos 2...
- Q Calculate the following limits at infinity If necessary use inf and inf to denote o and o Use DNE if a limit does not exist 1 lim sin x dne...
- Q Directions Consider the following function f z at a 2 Part 1 Difference Quotient It h 0 then the difference quotient can be simplified into the form Ah B That...
- Q Calculate the following limits at infinity for the given function f x If necessary use inf and inf to denote and Use DNE if a limit does not exist 1...
- Q Directions Consider the following function f a at a 2 Part 1 Difference Quotient If h0 then the difference quotient can be simplified into the form 2 A f 2...
- Q Calculate the following limits at infinity for the given function f x If necessary use inf and inf to denote and Use DNE if a limit does not exist 1...
- Q nd the trigonometric function values for 6x using the graph of the unit circle elect the correct choice below and if necessary fill in the answer box to complete your...
- Q Find the circular function values for the given number s State which functions are undefined for s Do not use calculator 17x 2 SE COLX Select the correct choice below...
- Q Determine the point on the graph of the unit circle that corresponds to 3x 3 findcos andsin 2 2 and state which functions are undefined for The point on the...
- Q Use a calculator to approximate the following sin 6 3812 cos 6 3812
- Q Determine the point on the graph of the unit circle that corresponds to 2x Then findcos 2x andsin 2x and state which functions are undefined for 2 The point on...
- Q Consider the graph shown in the figure which gives the velocity of an object moving along a line Assume time is measured in hours and distance is measured in miles...
- Q Consider trying to evaluate the integral A A E B A ln x 1 O C Aarctan r A D x 4x 3x x 2 x 2 OE A ln...
- Q Find the indefinite integral x 362 x 49 dx 0 0 C
- Q K Find the length to three significant digits of the arc intercepted by a central angle 0 in a circle of radius r 2x 7 r 14 1 cm 0...
- Q otated through 180 Assume the radius of the bicycle wheel is 12 6 inches icycle will travel approximately in nd to the nearest tenth 1 45 in
- Q onvert the following degree measure to radians 120 120 radians Simplify your answer Type an exact answer using a
- Q 14 lim x 3 2 x 1 X 1
- Q 4 lim x 2 x2 5x 6 x 2
- Q x 1 7 lim x 1x 1
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