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?