Q and A for the topic: General

Consider a polygonal f: R → R, formed by 8 segments with vertices (Vi; Wi), 1 ≤ i ≤ 7. What metric relations between the coordinates of these vertices must occur and what characteristics must the rays of the extremes satisfy to guarantee that this Is polygonal the result of a combination of translations and modules applied to a linear function?

A. Consider a race of n cars that leave the same place and with constant speeds, but different from each other. If at a given moment the distance between each car and the one in front of it everyone has the same distance, at what other point in the race will this happen? Justify your answer. B. What is the value of the ratio between the speed of the fastest in relation to that of the slowest?

Solve the IBVP using Fourier series method utt −c2uxx = 100, 0 < x < l, t > 0 u(x, 0) = x(1 −x), 0 < x < l, ∂u ∂t (x, 0) = x, u(0, t) = u(l, t) = 0, t > 0. Show all steps even integration

-11i(-1-2i) Write standard form, a+bi

56x=24x+64

We must carry out the process of distributing the number of users with whom two work. members of a social project. However, one has more time available and can work with 40 more users than the other. If it is considered that we will carry out the project with a Approximately 290 users. How many users will each one work with? Generalize the situation previous in an equation

Given v= 2I-J and w=2I + 3J, find the angle between v and w.

FUS After takeoff, an aircraft enters a straight-line flight path with constant speed at point P(1.5|9|0.5). speed. In one minute it travels a distance vector v=(-1 5 0.2) back. Information in km. a) (1) Determine the speed of the aircraft in km/h. (2) After 4 minutes the plane reaches a big city. Calculate the altitude at this time. b) At an altitude of 2500 m the pilot switches to autopilot. Calculate the coordinates of the point where the aircraft is at this moment and state how much time has passed since the aircraft was at point P. c) Between the points A(-5|38|0.1), B(-4|40|0.11) and C (-7|39|0.1) there is a small natural protected area in the shape of a triangle. (1) Examine triangle ABC for special features. (2) Check whether the aircraft is flying over route AB and, if so, at what distance

Determine the least degree monic polynomial p of x with coefficients in Q such that (square root of 2) is root of p of x and 2+i is multiple root of p of x

Local extrema of y=e^square root of x

x(t) = t² + 2t +12sin (t) Based on this, calculate your speed in SI units at time t = 1 minute

Let av = be given 2 −1 1 vector. Set it to that ` line the matrix of the perpendicular projection, which is parallel to the vector av, and passes through the origin.

A crawler hoe having a 2.5-cy bucket and whose cost per hour, including the wages to an operator, is $109 will excavate and load haul units under the stated conditions as - depth of excavation is 12 feet, angle of swing is 80 degrees, percent swell is 14 and efficiency factor is 55 min per hour. The maximum digging depth of the machine is 22 feet. Use load bucket time 6 sec; swing loaded time 6 sec; dump bucket time 4 sec and swing empty time 5 sec. Determine the cost per bank cubic yard for the material sand and gravel. Show all the calculations with all the required checking.

A car whose weight is 10,000 N accelerates at a rate of 4 m/s2. What is the force that moves that car?

Benjamin plays a game that costs him $10. If he wins, he will get $25. The probability of him winning is 40%. Based on the expected value, should Benjamin play the game?

There are 10 pens, including 2 black pens, 3 red pens and 5 pink pens. Take 2 pens at random. Calculate the probability that both pens are pink

Design a footing for a column with a section of 30 × 70 cm, with a load of 1,000 kN, for an allowable soil stress of \sigma_{adm}=0.450 MPa.

determine the equation of the line passing thru the midpoint between (-5,0) and (0,5) and is perpendicular to the line segment between (-3,0) and (0,5)

The company BMK presents the following costing data: Finished production: 5,000 units. Production sold: 4,100 units. Sale price $1,730 each unit. Income tax 27% Period costs: Variable costs and expenses of the period MPD $170 per unit MOD $310 per unit CIF $145 per unit Other costs and fixed expenses of the period: CIF $700,000 Administration expenses $1,200,000 Sales expenses $900,000 It is requested: Calculate the total production cost, the unit cost and prepare the Statement of Result both by the absorbent method and the variable method.

Definition of semi-grip