Determine the option that contains the equation of the tangent
plane the surface z=x2+y2 on the point
(-2,1,5)

Determine the option that contains the equation of the tangent plane the surface z=x2+y2 on the...
Pregunta 1 10 pts Determine la opción que contiene la ecuación del plano tangente la superficie z = x2 + y2 en el punto (-2,1,5) O NO ESTÁ LA RESPUESTA 4x - 2y - 2 + 17 = 0 O-4.c + 2y – 2-5= 0 O-4x – 2y + 2 – 11 = 0
Determine the option that has the maximum directional derivative of f(x,y)=y2/x on the point (1,2)Determine la opción que tiene la derivada direccional máxima de f (8,y) = en el punto (1,2). O G) O NO ESTÁ LA RESPUESTA 42 o 5
Determine the option that has the maximum directional derivative
of f(x,y)=y^2/x on the point (1,2)
Pregunta 2 10 pts en el Determine la opción que tiene la derivada direccional máxima de f (x, y) = punto (1,2) NO ESTÁ LA RESPUESTA O 472 () V5
Calculate the normal force in A in the bar and pulley system
shown. In O there is a "pin". Assume that the surface at A is
smooth or smooth. The mass value of the cylinder (m1) is equal to
20 kg. Evaluate the normal force at A for values of m1 (cylinder
mass) from 10kg to 60kg at intervals of 10 (6 cases). Make a graph
of Normal vs. cylinder mass (Normal in y / Mass in x). It is...
At what point on the surface z = 2 + x2 + y2 is its tangent plane parallel to the following planes? (a) z = 6 (x, y, z) = (b) z = 6 + 4x − 12y (x, y, z) =
-JTOIOIOS. Integrales de superficie 1) Evalúe S S (x - 2y+z)ds para S: z = 4 - 4,0 5 x 54,0 sys3 2) Halle el flujo de Fa través de S, SSF.Nds donde Nes el vector unitario normal a s dirigido hacia arriba dado F(x, y, z) = 3zi - 4; + yk y S:z = 1 -*- y en el primer octante. Teorema de divergencia 1) Utilice el Teorema de divergencia para evaluar // F. Nds y hallar el...
A point mass moves without friction on the inside of a surface of revolution z=f(r) whose axis of symmetry is along a gravitational field
a)Find the condition for a stationary circular orbit of radius
and show that It is stable or unstable under small impulses along
a transverse surface
to the direction of movement according to whether
it is positive or negative.
For a stable orbit, find the frequency ω of small oscillations
around the balance setting.
Original Question(in spanish)...
15. Find the equation of the line parallel to y = -5/2 x + 6
that passes through the point (-2,1)
16. Find the equation of the line that passes through (4,5)
and that is perpendicular to the line y = 3/2 x -4
17. The figure to the side represents a sidewalk structure.
measurements are in meters. If beam A is perpendicular to beam B,
find the size of beam C.
18. For each of the following equations, determine...
Exercise 1. Tangent plane (15 pts) Let (5) be the surface given by the following equation. x2+y2 = 1+z2 An equation of the tangent plane to (S) at A(1,2,2) is: a. 2x + 4y – 4z = 1 b. x + y - z=0 c. x + 2y – 2z = 1 d. x + y - z = 2 e. None of the above a. b. C. O d. e. Exercise 2. Directional derivative (6 pts + 9 pts)...
Use polar coordinates to evaluate the integral
where R is the region in in the first quadrant enclosed by the circumference x2+y2=4 and the lines x=0 and y=x
SUR (60 - 3y)dA Use coordenadas polares para evaluar la integral JR (6x – 3y)dA donde R es la región en en el primer cuadrante encerrada por la circunferencia za + y2 = 4y las rectas r = Oyy=2. 0-8+12V2 O NO ESTÁ LA RESPUESTA O 16 - 12/2 O 12 -...