An empty building's temperature on a cold morning drops to 48 degree at 1: 00 a. m. at that time the furnace is turned on with the thermostat set at 66 degree. the time constant for the building is 2 hours and for the building along with its heating system is 1/4 hour. assuming that the outside temperature varies as a cosine wave with a maximum 54 degree at 1: 00 p. m. and a minimum of 27 degree at 1: 00 a. m., set up the initial value problem (with initial condition) that describes this problem. do not solve this ivp.

●yes, this statement is absolutely apt.

hope this you

alright so i think for this one it would to draw it out. this may be hard for me to try and draw, but i will do my best on here:

        r

  /       |     \

notice how it forms 2 triangles inside one bigger triangle.

so if we know the angle spr is the same as psr that is saying the measure of angle p is the same as angle s. this means the big triangle psr is either isosceles or equilateral. in both cases, the triangle is perfectly symmetrical when split down the middle, which is in this case rq. because we know it is perfectly symmetrical on both sides, we know that the two triangles inside the bigger one are equal.