Calculus question and answers for December 10, 2023
- Q Given that lim f x 4 lim g x 4 find each limit if it exists If an answer does not exist enter DNE a lim f x 2g x...
- Q For the function to be continuous at x 2 we must have a f x sin x 2 x 2 2 4 x 2 a x 2 x 2 and...
- Q Suppose f x and g x are differentiable at x 0 and f x and g x are continuous at x 0 If f 0 g 0 0 f 0...
- Q Suppose f x and g x are two functions satisfying the following properties f 1 3 lim f x 2 lim f x 1 x 1 x 1 g x...
- Q 4 15 cos x y if sin x 54 5 2 cos x sin y 5 5 11 and cos y 7 11
- Q 23 Tara recorded this data to show how far her pet turtle traveled over an 8 hour wo period of time Based on this informa tion how far did the...
- Q Find the limit if it exists lim x 0 x 5 O 5 0 0 O Does not exist 5
- Q 2 A boat is sailing at a bearing of 140 with a speed of 26 mph It hits a current of 8 mph at a bearing of 195 Find the...
- Q Consider A ABC where a 8 c 11 and m2C 33 What are the measures of the missing angles and missing side Enter your answer by filling in the boxes...
- Q 7 Sketch the curve on polar graph paper a r 0 b r sin 20 c 1 cose d r 1 cos 20 r
- Q 6 find a Cartesion equation for r 6 0050 Graph it X rcosa r rsing LanG Y
- Q Let f x be given by the following graph 1 5 1 0 5 1 8 5 0 5 1 0 5 1 1 5 2 T Show Transcribed Text...
- Q Use your knowledge of trig identities not a calculator to find each trig value 3 9 1 2 9 If sin 0 51 find csc
- Q Find the extreme values of the function f x y 2x 3y on the circle x y 4 Use Lagrange multipliers findf Ag Answerin ve Her
- Q 11 000 The function N t 1 999e t weeks after the initial outbreak Step 1 of 2 How many people were ill initially Round to the nearest person models...
- Q Use Stoke s theorem to evaluate Find curl F x y z 7 0 0 1 2y Answer format a b c If curl F curl F dS for the...
- Q Find the sum of the first n terms using the formula a 1 1 2 4 8 16 25 terms Round your answer to the nearest hundredth
- Q 5 Evaluate each of the following limits or state that the limit diverges does not exist Give a cle justification for each answer 2 points each x 6x a lim...
- Q 8 The annual change in the population of New York State in people per year is given in the table below Year Rate 2014 26 943 2016 20 930 2018...
- Q lim ln sin x check what is happening first to sin x when x then plug into In x X T
- Q 5 The Willis Tower in Chicago is 1453 feet tall and is located 1 mile inland from the shore of Lake Michigan as indicated in the figure An observer in...
- Q 2 Determine the solution to the inequality x 4x 12x 0 6 pts
- Q Determine the solution to 2cos 0 cos 0 0 on the interval 0 0 2 6 pt
- Q that would h Given the positon function f x 16x 80x simplify the difference quotient 3 h f 3 represent the average velocity of the object from time x 3...
- Q etermine whether the sequence converges or diverges 3n 11 5 3n elect one a It diverges O b It converges
- Q If the sum of a blue die and a pink die is 8 what is the probability that one of them is at least 5 Select one O a 5...
- Q Write the equation of the ellipse graphed below 16 4 3 4 Select one O a x 4 y 3 16 49 16 O b x 4 3 49 16...
- Q For the function f x graphed below which of the following is the lim f x x 3 10 5 Select one O a O b O C O d...
- Q Examine the table for f z and the graph for g z f a 0 1 2 1 0 2 2 1 2 3 1 8 4 2 5 1...
- Q In an effort to control vegetation overgrowth 74 rabbits are released in an isolated area free of predators After 2 years it is estimated that the rabbit population has increased...
- Q Jose hopes to earn 600 in interest in 2 3 years time from 12 000 that he has available to invest To decide if it s feasible to do this...
- Q 5 sketch the curve and find a polar equation b y 3 a y x c x y 8
- Q The function C 1 Co 1 r models the rise in the cost of a product that has a cost of Co today subject to an average yearly inflation rate...
- Q Martha invests 7600 in a new savings account which earns 3 8 annual interest compounded monthly What will be the value of her investment after 5 years Round to the...
- Q The function C Cell r models the rise in the cost of a product that has a cost of Co today subject to an average yearly inflation rate of r...
- Q Maria has recently inherited 8900 which she wants to deposit into an IRA account She has determined that her two best bets are an account that compounds semi annually at...
- Q b lim ln sin x check what is happening first to sinx when x then plug into In x X T
- Q lim In sin x check what is happening first to sinx when x then plug into lnx PIR
- Q e lim 6 16 4 6 166 6 multiply top and bottom by conjugate
- Q Find the radius of convergence R of the series R n 9x 1 n 1 Find the interval I of convergence of the series 01 0 01 0 or 1...
- Q d lim 1 2 1 201 4 x 4 4 x Yes its fractions and yes you need to get a common denominato
- Q Seton Tell whether each sentence below is true or false I A half angle identity relates an expression like tan 57 individually 2 The sum and difference identities can be...
- Q The graph of a function f t is shown below y 4 3 a What is A 3 b What is A 5 2 1 2 3 4 5 6...
- Q Consider the following function f x 1 x 2 Determine whether f x approaches or as x approaches 2 from the left and from the right a lim f x...
- Q dy Find by implicit differentiation Then find the slope of the graph at the given point If an answer is undefined enter UNDEFINED dx dy dx xy 40 8 5...
- Q The height in h feet of a baseball t seconds after it was struck can be described by the function h 161 801 2 Which graph below best shows where...
- Q Question 4 25 points A football player punts a football such that the graph at the right shows the height of the ball in feet t seconds after it had...
- Q Given 4 3 2n n 1 a write this series in standard form b is the series convergent or divergent Explain c If convergent find the sum
- Q et f x be a polynomial of degree 3 over F13 Given that f 1 1 and f 2 4 what is the probability that f 0 5 Give such...
- Q 2 Identify the shape the directrix and the eccentricity of r 4 2 cos 0
- Q Refer to the functions r p and q Find the function r x 6x Part 0 2 BROKENSAANUAR Part 1 of 2 Part 1 2 Part 2 of 2 The...
- Q 3 A carnival Ferris wheel with a radius of 7 m makes one complete rotation every 16 s The bottom of the wheel is 1 5 m above the ground...
- Q In Problems 4 to 6 evaluate the given limit Justify your solution 4 lim tan 426 1 22 1 2x 8118
- Q 6 lim In 2 3 4x 3 2x 3 2 x x 6 3 In Problems 7 and 8 find intervals of continuity of each function and explain why each...
- Q 2 Determine a and b is such a way that the following function is continuous at z 0 Justify your solution f x a sin sin 3x 2x b ax...
- Q Evaluate the expression 2 x y x y f x 40994 and y 2 Jopa 2 701 be in
- Q x x r l x 2 r 1 a Is f x continuous at x 0 How do you b Is f x continuous at x 1 How do you...
- Q alyze the following alternating series for absolute and conditional convergence 1 n 1 n4n 1 n 1
- Q Use polar coordinates to find the limit of the function as x y approaches 0 0 7xy 2 f x y A 1 OB O C 1 y
- Q Concavity CUP or frOWN a Find the intervals of concavity of the function f x x 6x
- Q Date Jan 1 Feb 1 Mar 1 Apr 1 May 1 June 1 July 1 Aug 1 Sept 1 Oct 1 Nov 1 Dec 1 a bin aa durtablew pl...
- Q ev Does the Intermediate Value Theorem guarantee that the following equation has a real solution between and 3 Answer 2 Points 582x2 138x3 6x4 798x 30 1 O YES O...
- Q 6 Given the correlation coefficient r value determine the strength of the relationship Defend your answers 6 marks a r 1 b r 0 86 c r 0 12
- Q How long will it take for 5800 to grow to 25 000 at an interest rate of 3 3 if the interest is compounded continuously Round the number of years...
- Q As on the previous page f x jele T 52 6 4 x d Find lim f x and lim f x I 0 8118
- Q d If lim f x 0 then f x is continuous at x 0 1 0 TRUE FALSE
- Q 7 Find the radius of convergence for a c R 1 R 2 00 k b d R 0 R 00
- Q c If lim f x exists then x 1 is in the domain of f x 2 1 TRUE FALSE
- Q Let c a be nonzero real numbers such that c Find a given that 182 3 C 4 n 3 12 T rk e c a s f rdan farkl...
- Q 2 Evaluate the limit lim 1 X 0
- Q 17 For each of the following scenarios write an inequality that compares the two quantities Neville has 8 in savings lain has 14 saved b Ray s account balance is...
- Q 4 5 pts Openstax 6 3 159 Use the method of cylindrical shells to develop the formula for the volume of a cone with radius rand height h Determine the...
- Q Answer each question below 22 What is the maximum number of turning points that the graph of m x 4x x 6x 9 can have 12 23 If cos cos...
- Q If f x is a real valued function with the properties given as lim f x 3 x 2 then evaluate the limit lim I 2 OA The limit does...
- Q If f x is an increasing and negative valued function on the interval a b then which one of the following functions is also increasing on a b OA In...
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