Math - Others Questions

Show that the following statement is an identity by transforming the left side into the right side csc tan 8 cos 0 sin 0 Cos 0

Write the equation of the tangent line to the graph of y 6x2 6x 2 1 2x at x 1 Check the reasonableness of your answer by graphing both the function and the tangent line

The revenue from the sale of a product is in dollars R 1500x 3000 5x 3 1 1000 where x is the number of units sold Find the marginal revenue when 150 units are sold Round your answer to two decimal places Interpret your result If the sales go from 150 units sold to Nood H units sold the revenue will increase by about

Consider the figure below Remember The sum of the three angles in any triangle is always 180 Find A if B 40 and a 100 A C 8 B

Find the derivative of the function f x In 8x 9

If the national consumption function is given by C y 6 y 3 2 0 3y 5 where y is the national disposable income find the marginal propensity to consume dC G dC dy

Find the derivative of the function Simplify and express the answer using positive exponents only c x 4x x 9 c x

Suppose that the demand function for q units of an appliance priced at p per unit is given by 220 q 1 q 2 Find the rate of change of price with respect to the number of appliances p p

Find the derivative and simplify y 8x 5 x2 3x y

Find the derivative of the function f x 18 In x

Differentiate the function g x g x 1 2x3 3x 1 3 4

Find the indicated derivative dy dx dy for dx for y 1 2x x42x 4

A volunteer has been asked to drop off some supplies at a facility housing victims of a hurricane evacuation The volunteer would like to bring at least 132 bottles of water 82 first aid kits and 45 security blankets on his visit The relief organization has a standing agreement with two companies that provide victim packages Company A can provide packages of 6 water bottles 4 first aid kits and 3 security blankets at a cost of 3 Company B can provide packages of 9 water bottles 5 first aid kits and 1 security blanket at a cost of 2 50 How many of each package should the volunteer pick up to minimize the cost What amount does the relief organization pay Answer Enter the value in the first box and the ordered pair in the second box Minimum Cost of S Minimum Cost at Tables Keypad Keyboard Shortcuts

Find the maximum value of f x x2 4x x2 subject to the following constraints Write the exact answer Do not round If the function has no maximum value write None Answer x 2x 3 3x x 2 4x1 5x 5 Maximum value Tables Keyp Keyboard Short

Find the maximum value of f x1 x2 x3 2x 4x2 6x3 subject to the following constraints Write the exact answer Do not round If the function has no maximum value write None Answer 2x x x3 x 5x x3 x1 x2 4x3 11 20 14 Keypa Keyboard Shorte Tables

The curve above is the graph of a sinusoidal function It goes through the points 9 0 and 5 0 Find a sinusoidal function that matches the given graph If needed you can enter 3 1416 as pi in your answer otherwise use at least 3 decimal digits please explain f x

Assume that u satisfies the mean value property That is for all x y R 27T 1 7TR f 0 0 u x y u x rcos 0 y rsin 0 rd0dr

II Find the General term of the following Series 10 11 1 1 3 3 2 1 381 16 2 4 3 9 27 5 X x 4 7 X 10

1 Find the General term of the following Series 19 1 9 2 3 2 4 8 16 3 9 27 x 1 1 4 1 1 7 17 10 X 7 t

I List the First Five terms of the sequent an n ti an 1 1 5 3 An n 1

A cylindrical water tank used in lifting water to the top of a tower is 1 5 m high If the pressure at the bottom of the tank is must not exceed 25 kPa what maximum vertical acceleration can be imposed in the cylindrical when it is filled with water

An ope cylina m in diameter and 90 cm high containing water is rotated about its vertical axis at a speed of 240 rpm without spilling water a Which of the following most nearly gives the height of the paraboloid formed a 20 50 cm b 32 19 cm c 25 76 cm d 34 52 cm b Which of the following most nearly gives the pressure intensity at the center of the base of the cylinder a 5 67 kpa b 4 34 kpa c 6 67 kpa d 7 23 kpa c If the cylinder is brought to rest which of the following most nearly gives the depth of the water a 0 944m b 0 853 m c 0 578 m 0739ml

Sketch the graph of the given function Check your answer using a graphing calculator y 3 sin 12x Choose the correct graph below OA 41 160 12 126 A Q OB O C Q O D

The marginal average cost of producing x digital sports watches is given by the function C x where C x is the average cost in dollars c x 1 200 2 X 3 C 100 20 Find the average cost function and the cost function What are the fixed costs The average cost function is C x The cost function is C x 1200 X 8

following mixed numbers 4 2 1 E

Subject 3 Class Example find integral of kx 6x y 8y over the rectangle of X 21 and 0 y 3 2 using x as the laner Intgral and ii using y 3 1 Date the faner ner integral

b P two black marbles with replacement Assume a jar has six red marbles and four black marbles Draw out two marbles with and without replacement Find the requested probabilities Enter the probabilities as fractions a P two red marbles with replacement 9 25 without replacement 1 3 4 25 without replacement 3 25 X c P one red and one black marble with replacement 12 25 without replacement 8 15 4 047 d P red on the first draw and black on the second draw with replacement 6 25 without replacement 4 15 MY NOTES ASK YOUR TEACHER PRAC

Assume a jar has six red marbles and four black marbles Draw out two marbles with and without replacement Find the requested probabilities Enter the probabilities as fractions a P two red marbles with replacement 9 25 without replacement 4 15 b P two black marbles with replacement 12 25 without replacement 8 15 X c P one red and one black marble with replacement 6 25 without replacement 4 15 Need Help X Read It d P red on the first draw and black on the second draw with replacement without replacement x x A

040 010 Orange Cherry Lemon Bell Plum e Orange Bar Plum Orange Lemon Orange Bar Lemon Orange Lemon Plum Lemon Orange Cherry Lemon a P 3 plums b P 3 bells c P 3 oranges D DO IDIC 10 Cherry Bar Plum Bar Orange Bell Cherry Bell Cherry Plum Orange Bell Cherry Bell Bar Bell Bar Bell Cherry Lemon d P cherries on the first wheel Plemons on the first whools DODO 04 20 Cherry Plum Cherry Plum Cherry Cherry Plum Bar Orange Bell Cherry Plum Bar Orange Plum Cherry Orange Cherry Plum Cherry

Consider the tree diagram 1 2 Need Help 4 Read It B B B3 4 5 1 5 21 1 20 1 3 Find P C IB P B Enter your answer as a fraction 1 3 3 G C C C C C C3 Path number 1 2 3 4 5 6 7

Consider the tree diagram 2 Need Help Read It A A A3 Which path number represents P DIA 0 6 0 4 0 7 D 0 5 D 0 5 0 3 D D D D Path number 1 2 3 4 5 6

Suppose events A B and C are independent and 1 P A P B P C 1 2 2 Find the probability Enter the probability as a fraction P An Bn C

Suppose a die is rolled twice and let A first toss is a prime C second toss is a 4 Find the requested probability Enter the probability as a fraction P AUC

Suppose events A and B are independent and 1 P A 2 Find the probability P An B 1 13 3 Enter the probability as a fraction P B

Given that z cos 0 i sin 0 9 1 Prove that cos 0 sin 0 1 9 2 Solve the equation and find all possible angles 3 1 3 1 30

A call center data set shows that in a sample of 40 individuals 11 had prior call center experience If we assume that the probability that any potential hire will also have experience with a probability of 11 40 what is the probability that among ten potential hires more than half of them will have experience Define the parameter s for this distribution based on the data Define the parameters for this distribution based on the data Define a success as a new hire having experience When defining the number of successes consider what value is necessary if one is going to find the area to the left of that value Select the correct choice below and fill in the answer box es to complete your choice O A This distribution is a Bernoulli distribution with parameter p Simplify your answer OB This distribution is a Poisson distribution with parameter Simplify your answer OC This distribution is a binomial distribution with parameters n Simplify your answers and p

Verify the given linear approximation at a 0 Then determine the values of x for which the linear approximation accurate to within 0 1 Round your answers to three decimal places 1 x 1 X X x

The weighted graph below shows the distance in meters between four buildings on a college campus Administration 4 Engineering E Humanities H and Linguistics L You can draw on this graph but it will not be graded Note that each weight applies to the entire edge For example the weight 470 applies to the entire edge EL 320 510 470 Sequence 450 430 590 P S h a Bob the IT guy has a cart loaded with computers that were delivered to the Administration building He needs to deliver them all to the Humanities building How far does he need to push the cart from Administration to Humanities In other words what is the weight of the edge AH meters b The following week Bob gets a cart of computers that need to be delivered to various buildings What will be the total distance he needs to push the cart to go from Administration to Engineering to Humanities to Linguistics That is what is the combined weight of the edges used when going from A to E to H to L meters

The time required to play a certain game is uniformly distributed between 20 and 40 minutes Complete parts a through c below a Find the expected value and variance of the time to complete the game The expected value of the time to complete the game is 30 minutes Type an integer or decimal rounded to two decimal places as needed The variance of the time to complete the game is 33 33 Type an integer or decimal rounded to two decimal places as needed b What is the probability of finishing within 23 minutes 0 15 Type an integer or decimal rounded to three decimal places as needed c What is the probability that the game would take longer than 29 minutes Type an integer or decimal rounded to three decimal places as needed

6 Lindsay is travelling to the east coast and her car has a 37 L gas tank If her trip will require 215 L of gas how many gallons of gas will she need for the trip How many full tanks of gas will the trip require A 13 7 A room is 10 ft by 13 ft Trevor will buy carpet and underpad for the room from a discount supplier He will then contract a local installer to lay the carpet and underpad The carpet costs 15 6 85 per square foot and the underpad costs 0 70 per square foot The installation costs 2 85 per square foot What is the total cost for the materials and installation A

A consumer products company found that 48 of successful products also received favorable results from test market research whereas 14 had unfavorable results but nevertheless were successful That is P successful product and favorable test market 0 48 and P successful product and unfavorable test market 0 14 They also found that 26 of unsuccessful products had unfavorable research results whereas 12 of them had favorable research results that is P unsuccessful product and unfavorable test market 0 26 and P unsuccessful product and favorable test market 0 12 Find the probabilities of successful and unsuccessful products given known test market results that is P successful product given favorable test market P successful product given unfavorable test market P unsuccessful product given favorable test market and P unsuccessful product given unfavorable test market P successful product given favorable test market 0 80 Round to two decimal places as needed P successful product given unfavorable test market 0 35 Round to two decimal places as needed P unsuccessful product given favorable test market Round to two decimal places as needed

4 9 05 10 g 2 3 3 1416 1 54 x 10 cm g cm

2 11 x 10 mol L 2 3 5 10 mol L 7 59 x 105 mol L 2 47 10 2 mol L X x 10 L mol

You check for fruits in your refrigerator and you find that the only fruits you have ar apples and oranges You have a total of 41 fruits and 17 of those fruits are oranges What is the of fruits that are apples

5 5 lb of carrots cost 8 63 How many pounds lb of carrots can you buy with 6 23

1 1 lb of potatoes cost 8 38 How much would it cost to buy 6 5 lb of potatoes

The price of tomatoes is 1 6 lb How many would you need to buy 9 9 lb

The value of a fraction is less than one when O the denominator is 1 O denominator numerator O the numerator is 1 O the numerator is 1 the denominator is 1

What is the average of the following numbers 49 3 56 7 and 18 4

If your recipe calls for 3 eggs and 7 0 cups of flour to make 24 0 bagels how many bagels will you be able to make if in your bakery all you have available are 53 eggs and 104 1 cups of flour