The mass of a cube in grams is M=x^3+0.1x^4, where x is the length of one side in centimeters. If the length is increasing at a rate of 0.03 cm/hr, at what rate is the mass of the cube increasing when its length is 6 cm?

Explain why the aperture of the spherical mirror should be small compared to the radius of curvature of the mirror.

Need asap ‼️ 20 pts which gravitational force field diagram is drawn correctly? (answers in pictures below)

Acarpenter builds an exterior house wall with a layer of wood 2.9 cm thick on the outside and a layer of styrofoam insulation 2.3 cm thick on the inside wall surface. the wood has k=0.080w/(m⋅k), and the styrofoam has k= 0.010 w/(m⋅k). the interior surface temperature is 19.0 ∘c , and the exterior surface temperature is -15.0 ∘c . a.)what is the temperature at the plane where the wood meets the styrofoam? celsius b.)what is the rate of heat flow per square meter through this wall? /m^2