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Show that the minimum and maximum points of every curve in the family of polynomials
π(π₯) = 2π₯^3 + ππ₯^2 + 2π₯ lie on the curve π¦ = π₯ β π₯^3
For what values of π does the curve π(π₯) = 2π₯^3 + ππ₯^2 + 2π₯ have maximum and minimum points?
Show that the minimum and maximum points of every curve in the family of polynomials
π(π₯) = 2π₯^3 + ππ₯^2 + 2π₯ lie on the curve π¦ = π₯ β π₯^3.
Suppose π is differentiable on β and has two roots. Show that πβ² has at least one root.
A proton accelerates from rest in a uniform electric field of 5NC^-1. At some time later it's speed is 1.2Γ10^6 ms^-1. What is the acceleration of the proton
The individual's demand curve for a commodity represents a maximum boundary of the individual's intentions True or False, explain
If 15.65 mL of aq. HCl is required to neutralise 20.00 mL of the sodium carbonate
solution from question 4 above, what is the molarity of the aq. HCl? (Show all steps in
your calculation as set out below.)
(a). Write the reaction equation for the titration.
(b). Calculate the number of moles of Na2CO3 (standard solution) used in the titration.
(c). Using the balanced reaction equation, find the number of moles of HCl that
reacted.
(d). Calculate the molarity of the HCl solution.
an object of mass 3.0 kg moving with an initial velocity of 5.0i m/s collide and sticks to an object of mass 2.0 kg with an initial velocity of -3.0j m/s find the final velocity of the composite object.
Discuss the fuel tax increase impact the economic growth of S.A
A compound has mass percentage of 65.450%carbon and 5.492%Hydrogen and 29.060%Oxygen. It has a molar mass of approximately 110grams per mol. Determine the molecular formula of the compound
Write a C++ program that displays the row numbers of a matrix containing at least two even
numbers. First, the program should create a 2D array (5 rows, 5 columns). Then, ask the user to
input values in the matrix or 2D array. After that, program should display row number (or index)
which has less than 2 prime numbers. If no row (of the matrix) contains at least two prime
numbers then the program should display the message βNo row found containing two prime
numbersβ.
Write a program that creates and then reads a matrix of 5 rows and 5 columns of type int. while
reading; the program should not accept values greater than 100. For any entered value greater
than 100, the program should ask for input repeatedly. After reading all numbers, the system
should find the smallest number in the matrix and its location or index values. The program
should print the smallest number and its location (row and column) and also print their count.
