Questions

Find f t if f t 2e 3 sin t f 0 1 f T 2 f t

13 Write in the necessary angle measures on the diagram then write an equation and solve for x 51 2x 14 799

Consider the function f t 9 sec2 t 3t3 Let F t be the antiderivative of f t with F 0 0 Then F 0 8

onsider the function f x whose second derivative is f x 4x 9 sin x If f 0 4 and f 0 2 what is f 5

4 Consider the function f x 10 x3 x7 Let F x be the antiderivative of f x with F 1 0 Then F x

Find the most general antiderivative of the function Answer F x f x 8e 6 sec x You can use C for any needed constant in your answer

Hugo will print flyers on 8 5 by 11 cardstock and needs to know the weight of different quantities of cardstock for shipping purposes He weighs various quantities on his kitchen scale clipping the sheets together with a binder clip each time so that they do not slide off the scale Use the table below to answer the following questions Number of Sheets Weight grams 5 68 10 128 20 248 25 308 30 368 Part A Based on the first two rows of the table what is the average weight of one sheet of cardstock

The rectangles in the graph below illustrate a left endpoint Riemann sum for f z The value of this left endpoint Riemann sum is 18 82 the vertical lines x 4 and x 8 on the interval 4 8 9 and this Riemann sum is an underestimate of 7 3 2 1 1 2 3 4 5 6 7 8 Left endpoint Riemann sum for y on 4 8 the area of the region enclosed by y f z the x axis and

Question A frustum of a pyramid is a part of the pyramid with two parallel bases The lateral faces of the frustum are trapezoids Use the area formula for a trapezold to derive a formula for the lateral area of a frustum of a regular square pyramid with base edge lengths by and by and slant height 2 B 261 63 201 02

2 Read the question and sample response below Determine how many marks out of 4 you would award the response Remember origin purpose content value and limitation must be addressed Value and limitation must be connected to origin purpose or content at least once Use Source A above in your assessment of the response How many marks out of 4 would you award the response below With reference to its origin purpose and content evaluate the value and limitations of Source A above for a historian studying Japanese expansion and the international response on Japan s road to war The source is an excerpt from a book about the Manchurian Crisis by a historian It is valuable because il contains information about the Manchurian Crisis which was one of the reasons for Japan s expansion Because it is a secondary source it has loss value than a primary source

A partial list of values for an periodic function is given in the table shown Find the next three values if possible If not write NP in each box Round to the nearest integer if necessary 834 5 f x 1600 1520 9 7

A partial list of values for an linear function is given in the table shown Find the next three values if possible If not write NP in each box Round to the nearest integer if necessary 234 5 f x 1600 1520 9 7

Find the equation of a line containing the given point and having the given slope 10 8 m 3 20 The equation of the line is Simplify your answer Type your answer in slope intercept form Use integers or fractions for any numbers in the equati

Find the area of the region between y x 3x and the x axis for the following intervals a from 0 to 3 b from 0 to 4 c from 2 to 3 a The area from 0 to 3 is Simplify your answer

Petroleum geologist Glen Penfield was looking for gravity and magnetic anomalies in the Gulf of Mexico when he accidentally located a large meteorite crater True False

Find the area of the region enclosed by the curves y x 2 and y 2 between their intersections The area of the region is square unit s Type an exact answer in simplified form

Find the area of the region between the curves y x 2 x and y 4 from x 0 to x 2 The area is square units Simplify your answer Type an integer or a fraction

If a rectangular field has area equal to 24 square yards Convert the area of this fieldto square feet

Tan STT 6

3 As graphed on the set of axes below AA B C is the image of AABC after a sequence of transformations Is AA B C congruent to AABC Use the properties of rigid motion to explain your answer Trans for mation Direction Distanco

Use the standard matrix for the linear transformation T to find the image of the vector v T x y x y xy 3x 3y v 6 6 T v

A social media company wonders if proportion of social media users who use their platform has decreased worldwide A report claimed that 55 of social media users use the platform Suppose you conducted a survey and a rand sample of 49 people showed that 22 of them still have an account on the platform Use a 5 level of significance to determine whether the proportion of social media users who have an account on the platform has decreased from USE SALT a What is the level of significance 0 05 State the null and alternate hypotheses Enter for as needed Ho p 0 55 H p 0 55 b What sampling distribution will you use Do you think the sample size is sufficiently large Explain O We ll use the Student s t because the sample size is sufficiently large since np 5 and nq 5 O We ll use the standard normal because the sample size is not sufficiently large since np 5 and nq 5 We ll use the Student s t because the sample size is not sufficiently large since np 5 and nq 5 We ll use the standard normal because the sample size is sufficiently large since np 5 and nq 5 Use the value of the sample test statistic to find the corresponding z value Round your answer to two decimal places 1 421 c Find the P value of the test statistic Round your answer to four decimal places P value x Sketch the sampling distribution and show the area corresponding to the P value

A Find the standard matrices A and A for T T2 T1 and T T1 T2 A T R R T x y x 2y 5x 4y T2 R2 R2 T2 x y 0 x B 00 00

01 M E

Consider the hypothesis test Ho 012 0 against H 012 012 respectively Suppose that the sample sizes are n 5 and n2 10 and that s 2 23 2 and s 2 28 8 Use 0 05 Test the hypothesis and explain how the test could be conducted with a confidence interval on 01 02

e e T

Consider the following T is the reflection in the y axis in R T x y x y v 3 5 a Find the standard matrix A for the linear transformation T A 1 b Use A to find the image of the vector v T v

7 a a a

9 b12

Tripartite Pact

5 3x y 2x y

11 mn mn

10 12a5b2

Causes of expansion Take notes from the reading on how the following factors contributed to expansionism by Japan during the 20th century The impact of Japanese nationalism and militarism on foreign policy Japanese domestic issues political and economic issues and their impact on foreign relations

4 3y

2 6b3 3b

12 Why was Japan concerned about French Indochina 13 In what way did Japan address their concerns about French Indochina to the French prior to September 19397 14 What caused Japan to change its approach to French Indochina

Find the value of the trig function indicated 17 tan 7 S 18 cos 5

5 cos 130

Solve the following equation on the interval 0 deg 360 deg Round answers to the nearest tenth If there is no solution indicate No Solution 4sec2 x 6tan x 8

Estimate the areas under the curve by computing the left Riemann sum Lg Lg 1 8 1 0

5 tan 6 6 09

cos 135 12 cos 2

9 cos 240 1

7 tan 240

15 sin 60 16

Macmillan Learning Dr Caras was characterizing a cytochrome an iron containing protein from a new strain of bacteria He obtained eight measurements of the percent iron in the protein 0 2802 0 2808 0 2793 0 2798 0 2911 0 2791 0 2808 and 0 2794 Calculate the mean x and standard deviation s for these results xxx 0 2813 S 0 02 Incorrect Use the Grubbs test to determine if one of these values is an outlier What is the value of Gcalculated

3 sin 300 14 cos 6

sin 8

315 A