Limits & Continuity Questions and Answers

Find all solutions of the equation in the interval 0 360 Enter your answers as a comma separated list cos x 1 No Response

Solve the equation Find all solutions of the equation in the interval 0 27 Enter your answers as a comma separated list sin 2x sin x 0

Let B and y be the standard ordered bases for R n and Rn respectively For each linear transformation T Rn Rm compute T y B a T R2 R3 defined by T a1 a2 2a1 a2 4a2 a1 3a2 b T R 3 R2 defined by T a1 a2 a3 a1 2a2 a3 4a1 3a2

on 5 T S FACILILIVIIJ IUDICALIVNIJ TUIN of 10 Step 2 of 2 der the following function 2 of 2 Find two points on the line to graph

sider the following relation 6x 5y 5x 6y tep 2 of 3 Evaluate the function found in the previous step at x 3 Answer 2 Points

10 udp 18 RIMOROLLD aniston Step 2 of 4 Find f g 1

If the sequence converges find its limit If it does not converge answer diverges 3n 4 a n 1 314 c 0 b 3 d Diverges

1 Determine which answer best describes the sequence 5 n n 1 a c Strictly increasing b Increasing but not strictly increasing Strictly decreasing d Decreasing but not strictly decreasing

Does the sequence given by is its limit a c too 1 n n 1 n n 1 converge or diverge If it converges what b d 80 diverges

Find the acute angle 0 to the nearest tenth of a degree for the given function value cos 0 0 8044

e 6 5 2 Solve linear Question tion set of the inequality where x is a real number on the ect graph below 10

Which expression converts 45 to radians O 45 180 180 O 45 X 45 180

8 What does it mean that a function is continuous at a point x a Give definition and check whether the function f x is continuous at the points and x 0 x 1 if f x left begin array cl 2 x Y 3 text if quad x geq 0 2 x Y 3 text if quad x 0 end array right

Date Account Titles and Explanation Jan 1 b eTextbook and Media List of Accounts indent manually Save for Later Debit Credit Attempts 0 of 5 used Submit Answer Prepare the adjusting journal entry to record interest expense and bond discount amortization on December 31 2022 Credit peeeunt titlan

to functions n and p Find the function and write the n x x 2 p x x 2 6x

Please solve the following equation 11 8 3m 7 D

Please solve the following equation 2 3 1 d 2 6 4

Find the following 0 tan 2 given sin 8 5 13 180 0 270

DETAILS OSCALC1 3 Describe what each expression represents in terms of the given situation Be sure to include units f x denotes the grade in percentage points received on a test given x hours of studying a f x h f x h Select b f x lim h o Rate in rate of change of the grade received on a test per extra x h f x h Select Select spent studying 1 at which the grade on the test increased or decreased for a given study time of x Sole

Determine the number of outcomes in the event Then decide whether the event is a simple event or not Explain your reasoning You randomly select one card from a standard deck Event B is selecting the ace of hearts 4 Not a simple event because it is an event that consists of more than a single outcome 13 Not a simple event because it is an event that consists of more than a single outcome O 1 Simple event because it is an event that consists of a single outcome 4 Simple event because only one card is selected

The lengths of a particular snake are approximately normally distributed with a given mean 15 in and standar deviation 0 8 in What percentage of the snakes are longer than 16 6 in 0 3 2 5 O 3 5 5

Question 6 The polynomial of x 0 and a root Find a possible for

Consider the following P x x 9x 5x 45 c 9 Show that the given value of c is a zero of P x This answer has not been graded yet Find all other zeros of P x Enter your answers as a comma separated list Enter all answers including repetitions

Evaluate the following limit lim 3xe 3x Enter 1 if your answer is enter I if your answer is and enter DNE if the limit does no

Evaluate the following limit 4x 3 o ln 4 3e Enter I if your answer is co enter I if your answer is oo and enter DNE if the limi Limit lim

Minimize the function M 3x 3y subject to 2x y 6 and find the values of x and y at which M is minimized The minimum value of M is and it occurs when x is and y is

Solve the inequalities below Write the solution set in interval notation and graph the solution 142 28 Solution Interval notation for the solution 2 00 Graph the solution In order to show infinity on a graph you must scroll all the way until you see an arrow Don t forget the Solid Dot or Open Circle 10 9 8 7 5 4 3 2 10 Clear All Draw Submit Question O 8 9 10

2x 7 3 Show all algebra to find the critical points for the given inequality 4 and use x 5 a SIGN GRAPH of and signs to solve the inequality SHOW ALL WORK and give your answer in interval notation as always

Y 10 150 37 5 a Is this linear or exponential Years since 1985 Number of Cell Phone users 2 9 375 Cinsar 0 200 4 1 50 c Find the equation of the function by using the appropriate sequence formula 498 3 2 3438 2 8 In 1985 there were 285 cell phone subscribers in the small town of Centerville The number c subscribers increased by 75 per year after 1985 Don t consider a fractional part of a perso b What is the common difference or ratio 3 d Find the appropriate regression equation by using the calculator Round to the nearest that 4 5 1527 872 6 8186 4677 2672 8 7 in 1997 14325 25069 a Determine an equation for a function that models this data set Round to the nearest b

Solve the equation on the interval 0 2x sin 2x 2 sin x

Write the expression in the standard form a bi 9 4i 9 8i B 9 4i 9 8i Simplify your answer Type your answer in the form a b

Find the quotient and remainder using synthetic division 2x 7x 2 X 4 quotient remainder

c 5 points Calculate the sum n 0 1 n2n n

Use the sum of the years digits depreciation method to make a depreciation schedule first two years for a forklift that cost 32 000 has an expected useful life of ten years and has a residual value of 2 200 Complete the following table for two years Enter the depreciation rate as a fraction Enter annual depreciation accumulated depreciation and end of year book value as decimals rounded to the nearest cent Year 1 Depreciation Annual rate depreciation Accumulated depreciation End of year book value S

Evaluate the expressions for c 8 Part 1 of 2 a 5c 40 c 2 64 evaluated at c 8 is

49 Find the value of this expression cos 75 cos 15 The second step A 2 cos 45 cos 30 2 sin 45 sin 30 2 sin 45 cos 30 OB C D 2 cos 45 sin 30

8 Express O A OB O C sin62 as a function of half the given angle 1 cos62 O D 1 tan 31 tan 31 1 tan 31 D tan 31

6 Express this algebraic sum as a product sin 36 sin 32 A 2 cos 34 sin 2 B 2 cos 34 sin 2 C D 2 sin 34 cos 2 2 sin 34 cos 2

Question 3 Plot the point s where tan 0 3 3

Question 2 If 0 2 T 2 then find exact values for the f enter DNE sec 0 equals csc 0 equals

22 To answer questions 21 24 use the given data find the values of sine cosine and tangent of 2A and the quadrant in which 2A terminates angle A in Quadrant II cos A 7 25 cos 2A OA OB O C 527 625 336 625 336 625 OD 527 625

The lowest point of y x is 0 0 This point is called vertex Where is the vertex of function y x 3 none of these answers 0 3 3 0

The lowest point of y Where is the lowest point of y x 2 3 O 2 3 2 3 none of these answers O 2 3 is at 0 0

f x 3x 2 g x 2x 1 find fog 2 06 O none of these answers 13

find the domain of f x x none of these answers 3 inf inf 3 inf 3 x 3

Factor the polynomial and use the factored form to find the zeros Enter your answers as a comma separated list Enter all answers including repetitions P x x 4x 3x X Sketch the graph 2 y 10 y 10 2 3 3 2 1 10 10 y 10 1 2 3

Evaluate the following limit sin 3x lim 0 tan 4x Enter I if your answer is enter I if your answer is oo and enter DNE if the limit does no

How many pounds of 1 75lb trail mix should a grocer combine with 3 lb of 3 75lb trail mix to get a 2 95lb trail mix

The cost of a 4 pack of apple juice is 2 24 Write equation that relates the cost in dollars y to the number apple juice cartons x

Find the zeros of the function and state the multiplicities t x 5x x 1 x 2 If there is more than one answer separate them with commas Select None if applicable Part 1 of 2 The zero s of t 0 1 2 Part 1 2 Part 2 of 2 0 is a zero of multiplicity 1 is a zero of multiplicity 2 is a zero of multiplicity X