Calculus question and answers for February 09, 2024
- Q 9 O O O D On what interval s is f increasing and on what interval s is f decreasing Select the correct choice below and if necessary fill in...
- Q According to a study a vehicle s fuel economy in miles per gallon mpg decreases rapidly for speeds over 60 mph a Estimate the speed at which the absolute maximum...
- Q Sketch the graph of the following function Indicate where the function is increasing or decreasing where any relative extrema occur where asymptotes occur where the graph is concave up or...
- Q For the graph shown identify a the point s of inflection and b the intervals where the function is concave up or concave down a The point s of inflection...
- Q For the following function a give the coordinates of any critical points and classify each point as a relative maximum a relative minimum or neither b identify intervals where the...
- Q Determine the horizontal asymptote of the function If none exists state that fact 4x 5x 8x X Select the correct choice below and if necessary fill in the answer box...
- Q For f x 2 x 2x 3 x 2 determine the x intercepts and the end behavior Enter intercepts as a comma separated list of points Intercepts help points As...
- Q Find the intercepts of f x 2 x 5 x 5 x 3 Enter intercepts as points If you have more than one point enter them as a comma separated...
- Q 83 An office lamp manufacturer has weekly revenue and cost equations both in dollars given by R 38x 0 1 x and C 5x 2000 respectively where x is the...
- Q 87 A manufacturer determines the relationship between the demand and price for an item is given by 2x 6xp 30p 125 000 where x is the number of items demanded...
- Q 5 Determine the difference qerotient x h f h where h o for each of the following following function for t
- Q Use the graph shown to find the following a The domain and range of the function b The intercepts if any c Horizontal asymptotes if any d Vertical asymptotes if...
- Q j f x x 4 x 5 f x h f x h x h 4 x 4 x 5 x h 5 h x 5 x h 4 x...
- Q Construct a function that passes through the origin with a constant slope of 1 with removable discontinuities at x 6 and x 4 Enclose numerators and denominators in parentheses For...
- Q p f x sin x write as a factor of sin x f x h f x sin x h sin x h h use sin A B sinAcosB sinBcosA...
- Q o f x e f x h f x h x n write the numerator as a factor of e th ex h f x h f x e e...
- Q Determine the difference quotient S x h f x h where h 0 for each of the following function 3 x n n
- Q 1 For the function F x 5 a graph the rational function using transformations b use the final graph to find the X domain and range and c use the...
- Q 4x 5X 9 x 7 00 8x 3x 8x b lim
- Q x u v u 3 x ex 3 6 ubtex xe U ex litur e exx e xe P 3 x V 9 6e p L abe 2ex 6e7 2e...
- Q Consider the function p x Select the correct answer below 20 V 1200 32 554 20 V 1200 32 16x 125x What are the critical numbers 5 20 1200 32...
- Q 11 lin NEX 4x 5x 9 8x 3x x
- Q Select all of the following functions for which the extreme value theorem guarantees the existence of an absolute maximum and minimum Select all that apply Of x ln 1 x...
- Q Select all of the following functions for which the extreme value theorem guarantees the existence of an absolute maximum and minimu Select all that apply Of x x over 2...
- Q Find the critical numbers of the following function q x 4x x 4x 1 Select the correct answer below 0 A O and 01 02 O There are no critical...
- Q olve the initial value problem 1 2 A s sint cost 2 C s 2sint 1 21 cost sin t s 3 B s sin t cost 2 D s...
- Q Given f x x 4x 10 find the x coordinates of all local minima using the seco derivative test If there are multiple values give them separated by commas If...
- Q Consider the function g x x 3x10 2 Use the second derivative test to find the x coordinates of all local maxima If there are multiple values give them separated...
- Q Analyze the following graph of f x Select all of the intervals over which the graph of f x is concave up Select all that apply 0 1 1 1...
- Q 29 Find the second derivative of g x e ln 4x
- Q For the following exercises use logarithmic differentiation to find dy dx 346 y xVx X
- Q 341 f x ln 5x 7
- Q 5 4 3 2 2 1 1 2 3 4 X The function graphed above is decreasing on the interva 0 The inflection point is at x
- Q 1 The function f x 8x critical number X 2 3 X Question Help Video Add Work 2 e 42 has one critical number Algebrically use the derivative to find...
- Q 3 The function f x 2x 33x 180x 3 has one local minimum and one local maximum Use derivatives to algebraically find the answer to the question This function has...
- Q The function f x 8x 2 e critical number X 41 has one critical number Algebrically use the derivative to find the
- Q Mark the critical points on the following graph 36 30 Clear All 5 4 3 2 1 Add Work 18 12 Draw 0 6 12 18 z 2 7 Dot...
- Q Find the inflection point for the function shown below If there are more than one be sure to spearate them by using a comma If there is not an inflection...
- Q The price of a condominium is 188 000 The bank requires a 5 down payment and one point at the time of closing The cost of the condominium is financed...
- Q The function f x 2x 33x 108x find the critical numbers The smaller one is x and the larger one is x Question Help Video POEMENE 2 has two critical...
- Q An ellipse or hyperbola uses the general form Ax Cy Dz Ey F 0 Solving for 5 unknowns A B C D E F requires 5 equations needs 5 points...
- Q Algebraically find the critical numbers of the function f x 4x5 5x 20x 7 and classify them Leave answers in 4 decimal places X X X Add Work is a...
- Q Question 2 6 5 7 4 d The function graphed above has an inflection point Add Work
- Q HER PRACTICE ANOTH Of the infinitely many lines that are tangent to the curve y 8 sin x and pass through the origin there is one that has the largest...
- Q ASK YOUR TEACHER Ornithologists have determined that some species of birds tend to avoid flights over large bodies of water during daylight hours It is believed that more energy is...
- Q Find the area of the region bounded by the polar curve r 6e on the interval 2T Answer Granh the curve on a calculator Turn in a sketch of the...
- Q You would like to have 3500 in 3 years for a special vacation following graduation by making deposits at the end of every six months in an annuity that pays...
- Q Analyze the polynomial function f x x x 5 using parts a through h below The last 2 FUNCTIS VI mupiicity z su te graphi vii Roches d Use a...
- Q 9 For what angles x in 0 27 does the sin x have the same value as cos 7
- Q K Analyze the polynomial function f x x x 5 using parts a through h below The x intercept s is are 0 5 Simplify your answer Type an integer...
- Q a Use the appropriate formula to find the value of the annuity b Find the interest Periodic Deposit 90 at the end of every six months iClick the icon to...
- Q To offer scholarships to children of employees a company invests 15 000 at the end of every three months in an annuity that pays 10 compounded quarterly a How much...
- Q Question 6 The polynomial of degree 3 P x has a root of multiplicity 2 at x 3 and a root of multiplicity 1 at x 5 The y intercept...
- Q Find the value of the annuity and the interest Round to the nearest dollar A nt A P 1 r 1 r A P 9 A nt OA 21 047...
- Q At the time of her grandson s birth a grandmother deposits 10 000 in an account that pays 3 5 compounded monthly What will be the value of the account...
- Q Use technology to find points and then graph the function y 2 log x 2 2 following the instructions below done plotting points Plot at least four points with integer...
- Q Use technology to find points and then graph the function y 2log 2 8 1 following the instructions below done plotting points Plot at least five points with integer coordinates...
- Q 4 1 Determine the absolute maximum and minimum values for the function below on the given interval K f x x 3x 6 x 6x where 0 x 4 2...
- Q 9 The difference between two numbers is k Show that their product is at least 0 25k Interval not needed
- Q 8 A boat leaves a dock at 2 00 pm heading west at 15 km h Another boat heads south at 12 km h and reaches the same dock at...
- Q 2 Determine the absolute extrema of the function on the closed interval given K f x 4x x 1 where x 0 4
- Q 4 1 Determine the absolute maximum and minimum values for the function below on the given interval K 1 5 S x x x 6x where 0 x 4 3...
- Q 9 The difference between two numbers is k Show that their product is at least 0 25k Interval not needed
- Q 4 A car rental agency has 200 cars The owner finds that at a price of 36 per day he can rent all the cars For each 2 increase in...
- Q 2 7 Finding where the derivative of a function equals zero will always produce the desired optimal value Is this statement true or false Explain your reasoning C
- Q Determine the absolute extrema of the function on the closed interval given K f x 4x x 1 where x 0 4
- Q 6 Explain why we cannot determine maximum or minimum values for the function f x X x 3 interval 5 x 5 Include in a sketch in your solution C...
- Q 5 A cylindrical tank with no top is to be built from stainless steel with a copper bottom The tank is to have a volume of 5 m If the...
- Q 6 of the swimming area is a straight sandy beach and the rope will form the other three sides Determine the dimensions of the rectangle that produces the maximum swimming...
- Q nalyze the polynomial function f x x x 5 using parts a through h below Determine the end behavior of the graph of the function he graph of f behaves...
- Q 3 ex f x nv uv 3 e x ex 3 6 ubtex xe u s ex livtur e e x e xe V 3 ex v 9 62 12...
- Q 65 A family of curves has polar equations 1 a cos 0 1 a cos 0 Investigate how the graph changes as the number a changes In particular you should...
- Q Hiring nilai us X 2x J 1 x
- Q Use l Hopital s Rule to evaluate the limit cos 3x 1 x2 17 lim x 0 A 18 lim x sin X 8 A 1 5x B 0 B...
- Q Use l Hopital s Rule to evaluate the limit cos 3x 1 17 lim X 8 x2 A 96 B 0 6 3 2 D
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