# Math - Others Topics

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Math - Others

Basic Mathn ABC N is the incenter NE 8x 9 and ND 3x 6 Which of the measures are possible lengths of NG

Math - Others

Basic MathMiss Joplin is planning the resources for a maths lesson She needs 1 ruler per pupil plus 4 spare 2 pieces of dotty paper per pupil 5 pieces of card per pupil plus 6 spare Write down formulae for the number of rulers r and the amount of dotty paper d and card c Use p for the number of pupils d r C There are 19 pupils in the class How many of each item does Miss Joplin need r d C 6 3

Math - Others

FunctionsQuestion 3 SE Model 40 points Using the theories and ideas we learned in class about traditional Classical Keynesian and Monetarist macroeconomics write down build your own simultaneous equations SE model that represents a general equilibrium of the macroeconomy The model must satisfy the following criteria Contain at least four 4 structural equations but not more than 10 Cover both the real and nominal sides of the macroeconomy Include at least one 1 Government agent Complete equations for all elements of identities both supply and demand etc Clear notation including time subscripts variable definitions and parameter signs EXCLUDES any lagged endogenous variables e g y Answer the following questions a For each structural equation write a brief explanation of the macroeconomic theory and intuition underlying the equation Be sure to note whether it is Classical Keynesian or Monetarist in nature and why b Explain your definition of macroeconomic general equilibrium and how your model is consistent with it HINT It may be helpful to explain what you left out of the model and why c Try to solve your SE system of equations If you get stuck and can t solve the model or it turns out to be unsolvable just write a brief explanation of your conclusion HINT Don t spend too much time on this d Convert your SE model to matrix algebra format Ty Bx e a Write your SE system of equations in expanded form with vectors y u and x xxx plus all elements of the matrices I LXL and B LxK b Using the simple formula for any generic SE model ly Bx i e without detailed elements of y x I and B derive the reduced form solution of the model Be sure to show the formulas for 1 the mapping between structural and reduced form parameters and 2 the mapping between structural and reduced form errors

Math - Others

FunctionsThe polynomial function g is defined by g x 2x 3x 5x x 5 Use the ALEKS graphing calculator to find all the points x g x where there is a local maximum Round to the nearest hundredth If there is more than one point enter them using the and button g x D DED

Math - Others

Basic MathAtmospheric pressure P in pounds per square inch is represented by the formula P 14 7e 0 21x where x is the number of miles above sea level To the nearest foot how high is the peak of a mountain with an atmospheric pressure of 8 679 pounds per square inch Hint there are 5 280 feet in a mile The mountain is Number feet high

Math - Others

Sets and Relations5 Assume that f R R is such that f x f y X x y for all x y E R and some 0 1 Pick xo E R arbitrarily and construct a sequence xn as follows In 1 f xn for n 0 a Prove that n 1 Xn xn Xn 1 for all n 1 b Prove that n 1 xn x xo for all n 1 c Prove that n is convergent d Let x limxn Prove that f x x

Math - Others

Mathematical InductionJ a For all n E N prove that 13 24 0 e where 1 is in radians n 1 Hint Think about Taylor approximations of the function e b Prove that 1 720 C k 0 e k n 1 cos 1 13 24 1 1440

Math - Others

Trigonometric equationsThree mutually tangential circles A B and C have radii of 9 ft 10 ft and 11 ft respectively Part 1 of 3 a Find the area of AABC Round to the nearest tenth of a square foot The area is approximately 172 3 Part 1 3 Part 2 of 3 b Find the measures of angles A B and C Round to the nearest tenth of a degree m Ing

Math - Others

Basic Mathestion 3 like quotations paraphrases must be cited in your True False estion 4

Math - Others

Linear ProgrammingSolve the linear programming problem by the method of corners Find the minimum and maximum of P 4x 3y subject to 3x 5y 2 20 3x y 16 2x y 2 x 0 y 0 The minimum is P 14 75 X at x y

Math - Others

Mathematical InductionA tree on one side of a river is due west of a rock on the other side of the river From a stake 24 0 yards north of the rock the bearing of the tree is S 19 9 W How far is it from the rock to the tree rounded at least to the nearest tenth of a yard

Math - Others

Basic Mathquiz 40 point s possible This question 1 point s possible A protected wilderness area in the shape of a rectangle is 5 kilometers long and 3 1 kilometers wide The forest is to be surrounded by a hiking trail that will cost 12 000 per mile to construct What will it cost to install the trail Note that 1 mile mi 1 6 kilometers k It will cost to install the trail Type an integer or a decimal 18 OT 40 BEZCE O Subm

Math - Others

Basic Mathon 9 following passage and the information about its source This is the same passage as Then decide whether the student sample is plagiarized or uses the source correctly d select Plagiarized if the sample is acceptable select Okay friends in The Wizard of Oz finally gain entry to the Wizard s palace because Dorothy quite alarming reservoir of liquid in the guard His face is quickly sodden with tears a performance you are struck by the sheer number of occasions on which people cry in and the guard there is the Cowardly Lion who bawls when Dorothy bops him on the sts up again from weeping and Dorothy again while she is in the clutches of the Wit rophobic Witch could only have been closer at hand on one of these occasions the n rter Salman Out of Kansas The Wizard of Oz Writers at the Movies Twenty Six Contemp Memorable Movies edited by Jim Shepard Harper 2000 pp 201 236 ent wrote this otes that so many characters cry in The Wizard of Oz that it s surprising the Wicked earlier in the film The reason the troop gets into the castle is because the guard cri of the other main characters cry in the movie as well 223