Questions

1 point Let 6e 3 and G 6 x y 3 x y Let C be t path consisting of lines from 0 0 to 7 0 to 7 1 to 0 0 Find each of the following integrals exactly a fo F dr b le C dr

In 1 m and n are direction cosine of a vector then a 12 m n 1 c 12 m n 1 2 b 12 m n 1 d 1 m n 1

b P X 1 I 5 Random variable X has a normal distribution N 12 4 Calculate the probability P X 15 The average hemoglobin content in women s blood is 13 7g 100ml with a variance of 1 58

A force of 3 pounds acts in the direction of 42 to the horizontal The force moves an object along a straight line from the point 2 5 to the point 6 10 with distance measured in feet Find the work done by the force The work done is approximately Round to the nearest hundredth as needed

Find all rational zeros of the polynomial and then find the irrational zeros if any Whenever appropriate use the Rational Zeros Theorem the Upper and Lower Bounds Theorem Descartes Rule of Signs the Quadratic Formula or other factoring techniques Enter you answers as comma separated lists Enter all answers including repetitions If an answer does not exist enter DNE P x 2x 19x3 53x 38x 8 rational zeros x Irrational zeros x

When a certain drug is taken orally the concentration of the drug in the patient s bloodstream after t minutes is given by C t 0 06 0 0002t2 where 0 st s 240 and the concentration is measured in mg L When is the maximum serum concentration reached t min What is the maximum concentration mg L

A graph of a function f is given f 1 0 2 a Find the local minimum value of f and the value of x at which it occurs x y Find the local maximum values of f and the values of x at which they occur x y x y smaller x value larger x value b Find the intervals on which f is increasing Enter your answer using interval notation Find the intervals on which f is decreasing Enter your answer using interval notation

f f x x x 1 and g x x 3 find the following a f g b f g c fog d gof e f g 2 f g f 2 g gogog

Find a fourth degree polynomial with integer coefficients that has zeros 41 and 1 with 1 a zero of multiplicity 2 P x

Use the angle conversion capabilities of a graphing utility to convert the angle measure to decimal degree form Round your answer to three decimal places if necessary 116 45

A person starts walking from home and walks 4 miles East 6 miles Southeast 6 miles South 5 miles Southwest 3 miles East This person has walked a total of miles Find the total displacement vector for this walk If this person walked straight home they d have to walk miles

Use the angle conversion capabilities of a graphing utility to convert the angle measure to D M S form 113 5

Find if possible the complement and supplement of the angle Enter NONE in any unused answer blanks 5 6 complement

Find the difference of the angles Write your answer in D M S form 120 45 29 and 18 36 6

Convert each radian measure to degree measure Do not use a calculator a 11 12 b 7 4

Convert the angle measure from degrees to radians Round your answer to three decimal pl 47 24 rad

Find an equation for the graph sketched below Question Help Video Read Written Example Submit Question

ollowing histogram shows the results of a personality questionnaire Use this histogram to answer the questions 35 Personality Questionnaire 30 25 Frequency 00 15 10 26 12 12 16 10 25 25 11 0 1 5 5 5 9 5 13 5 17 5 21 5 25 5 Scores

The Saskatchewan Roughriders started a rainy day savings fund 3 5 years ago to help pay for stadium improvements At the beginning of every quarter the team has deposited 24 000 00 into the fund which has been earning 4 6 compounded semi annually How much money is in the fund today There is in the fund today

Write the number in standard form 12 432

ap16Sec1 003 pg The figure below shows contours of g x y on the region R with 3 x 9 and 2 y 8 1 3 Using Ax Ay 2 find an overestimate and an underestimate for g x y dA

Here is a graph of the function g w y 5 4 3 2 1 2 3 4 3 4 Use the graph to find the following If there is more than one answer separate them with commas a All values at which g has a local minimum b All local minimum values of g

Determine the number and type of solutions of a quadratic funct B Determine the a coefficient of a quadratic function Calculate the y intercept of a parabola

6 Solve using the quadratic formula 2 8z 7 There are four parts to this questions labeled A D Part A Write the given equation in the form ar b c 0 Part B Identify the values of a b and c a Part C C Evaluate the discriminant 2 4ac Enter the value of the discriminant Because the discriminant is Part D there solutions Substitute values into the quadratic formula and solve round answers to the nearest hundredth The exact solution s in simplest radical form are x 2a and the approximate solutions are x and x

9 a For the equation below 2x 12x 18 0 Part A Find the discriminant of the quadratic equation Part B How many real solutions does the quadratic equation have A Two Real Solutions B One Real Solution C No Real Solutions

Find a nonzero vector parallel to the line of intersection of the two planes 3x 3y 32 4 and 2y 4x 5z 5

Consider the quadratic equation below 22 10x 24 0 Select the phrases that are true about the solutions to this quadratic equation This quadratic equation will have V because the discriminant is

Solve the quadratic equation using the quadratic formula a 10a 21 0 x 2 18 B 10 184 2 x 7 3 Dx 3 7

Which of the following equations would form a parabola when graphed there may be more than one A 2x 7 10 By 3x x 5 1 Cy 2x3 5x 2 y 3x 4x 19 Dy

5 Solve using the QUADRATIC FORMULA SMALLEST NUMBER FIRST ROUND TO THE NEAREST HUNDREDTH 4x 4 z H

Consider the equation given below and solve for x by using quadratic formula 5x2 4x 2 0 H

Multiply the complex numbers 7 i 3 i A 20 4i B 22 4i C22 10i D 20 10i

5 Solve the quadratic equation by completing the square x 4x 3 0 Ax 2 7 6 x 2 7 x 4 7 D x 4 7

Use the Quadratic Formula to solve these equations Write your answers as complex numbers in the form a bi x 4x 13 0

Which of the equations below is the QUADRATIC FORMULA bb2 4ac A x 2a B 62 4ac b c x 2a p q D x 2

Input the correct values into the quadratic formula below x 4x 8 0 b b2 4ac Quadratic formula 2a H 2 4

Add the complex numbers 3 4 7 i

14 Use the imaginary number i to match the expressions given in the first column as a complex number Simpify all radicals 16 DRAG DROP THE ANSWER 3i 21 21

State the conjugate of 3 4i A 3 4i B 3 4i C 3 41 D 12

Find the sum of the real parts of the complex numbers 22 5i and 10 8i Then find the sum of their imaginary parts Sum of real parts Sum of imaginary parts i

Select the solutions to this quadratic equatio x 6x 8 0 Ax 2 BX 4 CX 0 DX 2 EX 1

Simplify the following complex numbers given in the first column and choose the appropriate result Complex numbers 15i 9i 7i 5 3i 24 1 OOOC 1 HOOOO i C e D

3 a Part A In a direct variation equation y 15 when x 5 Write a direct variation equation that shows the relationship between x and y A y B Y 2838 y 2x Dy 3x b Part B Solve the equation of direct variation to determine the value of y when x 10 y wwwww www

In a direct variation y 20 when x 10 Write a direct variation equation that shows the relationship between x and y y 20x 280 y 2x Dy y 28 2

Write a direct variation equation that relates the two variables Then solve Suppose y varies directly as x and y 21 when x 3 Find x when y 42 k equation x

12 Classify the following graphs on the basis of direct and inverse variation Drop the figure under its appropriate variation DRAG DROP THE ANSWER Direct variation Inverse variation

a Part A Give the generic formula for joint variation Answer Part B List restrictions if there are any If not say no restriction

If y varies inversely with x and y 5 when x 12 find y when x 4 A y 12 B y 20 y 48 D y 15

B The ciliated columnar epithelial cells in humans are AIPMT Prelims 2011 known to occur in 1 Fallopian tubes and urethra 2 Eustachian tube and stomach lining 3 Bronchioles and fallopian tubes 4 Bile duct and oesophagus

0 0 2 16 7 4 32 a 6 48 8 64 Part A Decide if the value on the table above shows a direct variation inverse variation or neither Part B Write the equation that represents the variation or explain why it is neither b BU