Sequences & Series Questions and Answers

19 f y y cos x d In y xy 21 SS 20 CR dy dx dy dx

Question 4 Points 2 Find the height of the box if the length and width are 86 in and 74 in respectively and the volume of a box is 4 07 296 cubic inches Oh 86 inches Oh 37 inches Oh 64 inches

Find the area of the given shape by composing into a rectangle O 36 square units O21 square units

Question 1 Points 2 Find the area of the figure shown 8 square units O26 square units 30 square units

Question Simplify the following expression Select the correct answer below O21 2 O 5t7 O 8t7 O 6t 2 O2t7 214 3

Using a range of x 4 to x 4 and the same set of axes sketch the graphs of y cosh and y sinh

Question 9 Points 1 Find the surface area of a cylinder if the radius and height are 3 inches and 4 inches respectively O42 square inches 46 square inches O52 square inches

Simplify the expression below and write the answer with positive exponents only 12 x Select the correct answer below Ox Ox 1 1 x96 04 1 48

Calculate the are O 30 sq units O 18 sq units O 12 sq units

Estimate the area of the given polygon 69 ft O 104 sq ft O 48 sq ft O 100 sq ft 6ft 8 ft 2ft 9ft

Find the values of X and Y in terms of b h m and the changing angle theta the line segment Y is not assumed to be perpendicular to the lime M The circle is of radius b Theta is all possibile angles up to 2 pi and is not constant 20 h M X

Which of the following formulas would be used to find the area of a triangle O 1 3 x Base x Height O Length x width O 1 2 x Base x Height

then solve the problem given below Click here to watch the video Graph the function f x x 9 Use the graphing tool to graph the function Click to enlarge graph 10 8 10 8 6 4 2 4 8 A

Part 1 of 3 Identify the domain and then graph the function using the table to the right g x x 4 The domain of the function g x is Type your answer in interval notation COCE Point X g x 4 5 17 3 12 4

9 The graphs of f x and x are shown below F x Witte g x as a transformation of f x g x

Write the following elements in R2 given in the standard frame e2 e2 in the frame 2 e 2 e e a 1 1 b 2 1 c 1 1

Solve the equation tan0 3 for all values of 0 in the domain 0 0 2 Also draw either a horizontal vertical or diagonal line that goes through all solutions to the equation Express your answer both in radians and degrees Degrees Type of line Select type of line y 0 1 3 2 2 2 1 2 1 2 2 3 2 0 1 NE 1 0

Rationalize the denominator and simplify 7 3 2 1

48 tan a b tan a b sin a cos a sin bcos b sin a cos a sin bcos b 40 sin 8x

Using determinants identify whether these three points A 5 2 B 4 1 and C 3 8 are collinear or not Select the answer Collinear Non Collinear

What is the area of this rectangle 6 in 12 in O 72 square inches O 144 square inches O 36 square inches

Given the triangle not drawn to scale A 26 A 28 19 find the measure of angle A using the Law of Cosines Picture is degrees

3x dx Use the trapezoidal rule to approximate O 0 5 03 0 53 0 5 0 5 1 0 5 1 2 1 O 03 0 53 0 5 0 5 1 0 5 1 2 1 O 0 5 03 0 53 0 5 0 53 13 0 5 13 2 0 5 O 03 0 53 1 0 5 1 1 1 2 1 using three non uniform partitions at 0 0 5 1 2 10 points

Find the angle in degrees rounded to one decimal 5 12

Find the area of the shaded portion 16 cm 16 cm 16 cm O 62 44 sq cm O 65 64 sq cm 16 cm

Mly Activities Tell me what you want to do Q Find the area of the shaded region 6 3 cm 7 63 cm O 5 63 cm 5 cm 3 cm

a B C b Note Triangle may not be drawn to scale Suppose ZA 30 and a 22 ZB 60 b Find an exact value report answer as a fraction use sqrt

The Candy Factory ses candy by the pound charging 1 50 per pound for quantities up to and including 35 pounds Above 35 pounds the Candy Factory charges 1 25 per pound for the entire quantity plus a quantity surcharge fx represents the number of pounds the price function is as follows 1 50K for 35 1 25x k for x 35 Find such that the price function p is continuous at x 35 D x The price function is continuous at x 35 when k Type an integer or a decimal

What is the period of the function Write your answer as a fraction in simplest form a b tan 50 y The period is TT

What is the amplitude umun MA 0 2 2 4 2 X

Use graphical approximation techniques or an equation solver to approximate the desired interest rate An employee opens a credit union account and deposits 120 at the end of each month After one year the account contains 1444 56 What annual nominal rate compounded monthly has the account earned The annual nominal rate is Round the final answer to two decimal places as needed Round all intermediate values to six decimal places as needed

Solve the equation 18 6k 6 1 3k

Suppose that in Washington county 42 of households have central air conditioning 19 of households have central air conditioning and a furnace You randomly select a household that has central air conditioning What is the probability that it also has a furnace Show your work here

Watch help video Mila is a teacher and takes home 31 papers to grade over the weekend She can grade at a rate of 8 papers per hour Write a recursive sequence to represent how many papers Mila has remaining to grade after working for n hours

x 2 Determine the type and key parts of the graph of the second equation option will display further inputs to complete your answer O straight line O circle ellipse O parabola O hyperbola center 2 length of major axis length of minor axis y 1 4 major Ixis is 1

A data set is normally distributed with the mean of 25 and standard deviation of 5 About 68 of the dala lies between 20 and 30 About 95 of the data lies between 15 About 99 7 of the data lies between 10 and 40 About 84 of the data lies above About 84 of the data lies below About 81 5 of the data lles 20 and 35 About 81 5 of the data lies bertween 15 and Blank 1 30 Blank 2 15 Blank 3 40 Blank 4 Blank 5 and 35

Rewrite each equation in the form g x k Describe the graph of g as a transformation of the graph of f x 2 2 g x 2x 3 x 1

You randomly sampled 40 Individuals twice In the first sample 15 of the 40 had type O In your second sample 20 o the 40 had type O Find the calculated z score used to compare proportions and interpret it Use a confidence level 95 For your convenience the formula is PI Pl VAL P Confidence Level 90 95 99 99 0 05 0 025 0 005 Critical score 1 645 1 96 2 576 O The calculated z score is 1 13 which is not less than the critical value of 196 so we fail to reject the null hypothesis The calculated z score is 1 13 which is not less than the critical value of 1 96 so we reject the null hypothesis O The calculated z score is 1 13 which is not greater than the critical value of 1 96 so we fail to reject the null hypothesis O The calculated z score is 1 13 which is not greater than the critical value of 1 96 so we reject the null hypothesis

1 2 Graph g x Vertical asymptote Horizontal asymptote Domain Range Graph g x 3 Vertical asymptote Horizontal asymptote Domain Range x x y y 5 4 3 2 1 6 5 4 3 2 1 0 1 2 3 5 66 5 4 3 2 1 6 5 4 3 2 1 0 1 2 3 4 1 N 2 N 2 3 4 5 3 4 5

y24x 1 m 7 b 1 4 3 2 1 5 4 3 2 1 0 2 3 4 5 2 3 4

Add or subtract these rational expressions 1 2x 8x x 6 3 x 6 7 x 5 4x x 1 x 3 x 5 x 6x16 x 2 2 4 6 3x 12 x 4 x 4 7 3 x 5x24 x 8 x 3 x 3 31X 3 6x 2x 1

Over which of the following intervals will the average rate of change of a function f x best approximate the instantaneous rate of change f 9 O 9 9 1 O 9 9 001 O 9 18 O 9 10

points per game 10 2 13 18 22 20 8 9 12 33 10 13 21 18 5 16 17 13

Vertical asymptote x 1 Horizontal asymptote Domain Range X y 3 2 1 7 6 5 3 2 1 0 1 2 2 3 4 5 6

restaurant waiting times min 20 35 15 25 5 10 40 30 10 50 20 60 10

ages of relatives 18 5 27 34 56 54 9 14 35 22 78 94 47 52 2 16 17

1 Graph g x Vertical asymptote Horizontal asymptote Domain Range X y 10 9 7 6 3 2 8 7 6 5 1 0 1 2 1 Low 2

An element with a mass of 810 grams decays by 29 3 per minute To the nearest minute how long will it be until there are 10 grams of the element remaining

costs of items 11 30 22 8 15 28 17 17 1 19 29 21 12 25

Trigonometry e x 5 2 5x solution set