A 4.50 cm tall object was placed a distance of 26.0 cm in front of a spherical mirror whose radius was very large compared to its size. In this position, the distance from the mirror to the object was less than the distance from the mirror to the focal point, and resulted in an image that was 3.50 cm tall. a) Sketch a ray diagram for this situation in your answer book. Your diagram need not be to scale, but it should show all important features (such as the shape of the mirror, its focal point, centre of curvature, the object, the image, and at least two rays that can be used to locate the image). b) Determine the radius of curvature of the mirror, and enter the result into the box below. Please express your answer in metres, in accordance with the usual sign convention, and make it correct to at least 2 decimal places.

La distancia desde el punto \( Q(1,5,-4) \) al plano dado por \( 3 x-y+2 z=6 \) es: 4.2762 1.0690 1.1547 4.6188

C. Write the genersal form of the following. \[ \begin{array}{l}\text { 11. } x^{2}+(y-7)^{2}=9 \\ 12 .(x-3)^{2}+(y-3)^{2}=16 \\ 13(x+1)^{2}+(y-4)^{2}=25\end{array} \]

The volume of a cylinder with height \( h \) and radius \( r \) can be found using the formula \( V=\pi r^{2} h \). Sketch a cylinder with radius 9 feet and height 10 feet, then find the volume and select the correct units. Round your answer to the the nearest tenth. Volume \( =\square \)

La distancia desde el punto \( Q(3,-1,4) \) a la linea dada por \( x=-2+3 t, y=-2 t y z=1+4 \) tes: 2.4495 2.2014 5.0200 - 5.3104

1. Realizar los sleulentes problemas an barco \( B \) pide socorro y se reciben las sus señales en dos estaciones de radio, \( A \) y \( C \), que distan entre si 50 km . Desde las estaciones se miden los siguientes ángulos, \( B A C=46^{\circ} \) y \( B C A=53^{\circ} \) ¿A que distancia de cada estación se encuentra el barcu.