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QUESTION 4 Find the quadratic form q(X) that corresponds to the symmetric matrix

𝐴 = [ 1 2 3 2 − 1 2 3 2 − 1] ( is 3by3 matrix)

4. a. Name a product that has a price that adjusted very frequently in the last year. Explain why.                 

b. What is the difference between monopolistic competition and oligopoly? Explain with local   examples. 




Let F be the R²-R function defined by f(x,y)=Inxy and let r be the R-R² function defined by r(t)=(e^t;t).


1.determine the composite function F o r: (simplify your answer).


2.determine gradf (x,y) and r'(t).


3.determine the derivative function (f o r)' by


3.1.differentiating the expression obtained in (1).


3.2.using the chain rule (theorem ) compare your answer.


A researcher is interested in estimating the average monthly salary of bank managers in NCR. He wants to be 90% confident that his estimate is correct. If the standard deviation is ₱8,500, how large a sample is needed to get the desired information and to be accurate within ₱1,150?


Calculate the equation for the plane containing the lines L1 and L2,where L1 is given by the parametric equation (x,y,z)=(1,0,-1)+t(1,1,1),t€R and L2 is given by the parametric equation (x,y,z)=(2,1,0)+t(1,-1,0),t€R.

Create a program using python programming language that determines the data type of a user input variables. Declare at least 3 user input variables then print out their data types.

6.


A multiple-choice test contains 10 questions. There are four possible answers for each question. b) In


how many ways can a student answer the questions on the test if the student can leave answers


blank?

A constant force of 245 N is applied at a 48.2° angle to a mass of 62.1 kg as shown below. If the mass moves at a constant speed of 3.28 ms–1, determine its coefficient of dynamic friction.  


computethe volume of CO2 produced at 65°C and 2.3 atm when 1.7 g of O2 is used up in the reaction:

C3H8 (s) + 5O2 (g) ——4 H2O(g) + 3H2(g)


A rock is thrown from the top of a 36 m high cliff with an initial speed of 12 ms–1 at an angle of 52° to the horizon. How long will it take the rock to reach the bottom of the cliff?


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