Q and A for the topic: General

Use the Proof method to determine whether the following argument form is valid. 1. (~p v q) & ~(q & ~r). Given. 2. r → p . Given SHOW: p ↔ r

In ℝ3 consider the vectors 𝑢 = (1, −1,3) and 𝑣 = (2,1,0) Determine the space generated by the vectors 𝑢 and 𝑣, that is: 𝑊 =<{𝑢, 𝑣} >

The next cell contains the following reaction: (6 pts) 2 Ag(s) + Cu(s) → Cu2+ (ac) + 2 Ag + (ac) Determine if the reaction takes place spontaneously. Ag+ (ac) + e − → Ag (s) E∘= 0.80 V Cu2+ (ac) +2 e −→Cu (s) E∘= 0.34 V If it does not occur spontaneously, write the half oxidation reaction and the half reduction reaction with its new voltages. In addition to this, calculate the new voltage of the cell.

Suppose that X is a random variable distributed according to the following function probability density: f(x)= 2(1 − x) for 0 ≤ x ≤ 1 f(x)= 0 otherwise. Since Y = 6X + 10, obtain variance of Y

Given the function f (x, y) = e−x · sin(x + y) a) Calculate its gradient at the point (0, π)

Given the function f (x, y) = e−x · sin(x + y) b) Study its homogeneity and calculate the degree of homogeneity, if applicable . c) Calculate f(t) when t = 1 if x(t) = t2 + 1, y(t) = ln(t)

Find the partial derivatives of the following functions: 4x^2 y^2+5x^2+2y+9 z=(5x^3+y)/(2x+3y) z=(3xy-x^2 )^8

Balance the reaction in basic medium. (6pts) K2Cr2O7 + Na2SO3 + H2O → Cr(OH)3 + Na2SO4 + KOH

Given the vectors A=0.6j+0.8k and B=30i−5j−k . A unit vector that is normal to the plane containing A and B is

does -5π/6 belong to the domain of definition [-3π;3π]

In a certain urban area, 60% of the owners subscribe to Netflix and 70% to Star+. 45% subscribe to both. If an owner is selected at random. What is the probability that it only has Netflix?

Let TRR be the linear transformation given by Tz, p.2)=(x+y.2+2) (a) Give a base and dimension of Ker(T); (b) Give a base and dimension of Im(T)

A company conducted a survey of 80 people to find out the amount of hours a day they watch television. The results were the following number of hours 1 hour: 4 people 2 hours: 15 people 3 hours: 16 people 4 hours: 45 people draw 3 conclusions according to the position measurements

2.- Cristina wishes to make a deposit of $50,000 in a financial institution, in order to continue making ten additional deposits every six months for an identical amount, where the first of them will be made within six months. If the financial institution offers and pays 10% every six months, how much will Cristina withdraw six months after the last deposit?

calculate the angles of the vertical triangle A=(1,2,1), B=(3,0,4) and C=(5,1,3)

3pie over 2 < or equal to theta < or equal to 2 pie sec theta = 9 over 1 find sin theta

3--Resolve each Section Let the universe set U = {a, b, c, d, e, f, g, h, i, j}, V = {a, e, i, f, h} W = {a, c, e, g, i}. List the members of the following sets. VUW VW

min\max F(x,y)=3xy-4x^2-y^2+150x+50 Constraints: 1)x>=y^2 2)x>=3^2 What is the function for finding suspicious points?

(c) Calculate the periodic payment of an annuity due of N70,000, payable annually for 3 years at 15% compounded annually.

X(x-1) y’ + y(y-1) using separating differencialne rovnice