The demand function for specialty steel products is given, where p is in dollars and q is the number of units. p = 150130 – 9 (a) Find the elasticity of demand as a function of the quantity demanded, q. (130 – 4) - (b) Find the point at which the demand is of unitary elasticity. q = 97.5 Find intervals in which the demand is inelastic and in which it is elastic. (Enter your answers using interval notation.) -00,97.5 x inelastic elastic 97.5,00 (c) Use information about elasticity in part (b) to decide where the revenue is increasing, and where it is decreasing. (Enter your answers using interval notation.) increasing n<1 decreasing n >1

Show that for small changes in height h, such that h< <RE , Equation 13.4 reduces to the expression ΔU = mgh .

(I) Assume that your proportions are the same as those inTable 7–1, and calculate the mass of one of your legs.

A uniform density sheet of metal is cut into the shape of an isosceles triangle, which is oriented with the base at the bottom and a corner at the top. It has a base B = 13 cm, height H = 19 cm, and area mass density σ. e)  Set up an integral to calculate the vertical center of mass of the triangle, assuming it will have the form C ∫ f(y) where C has all the constants in it and f(y) is a function of y. What is f(y)?  f)Integrate to find an equation for the location of the center of mass in the vertical direction. Use the coordinate system specified in the previous parts, with the origin at the top and positive downward.  g) Find the numeric value for the distance between the top of the triangle and the center of mass in cm.

Find the elongation of a rod made of aluminum and copper under a tension of 5.8×103 N. The dimensions of the rod are R=0.5 cm, LAl=10.5 m, LCu=5.5 m (Young moduli are 7.0×1010 Pa for Al and 11×1010 Pa for Cu)

The air resistance to the motion of a vehicle is something important that engineers investigate. As you may also know, the drag force acting on a car is determined experiementally by placing the car in a wind tunnel. For a given car, the experimental data is generally represented by a single coefficient that is called the drag coefficient. It is given by the relationship C(4)=F(d)/ 1/2 pV^2 (A) What is the appropiate unit for C, if the proceeding equation is to be homogeneous in units? show all steps of your work

Two vectors live with their tail at the same point. When the angle between them is increased by 20 degrees is there is colour product has the same magnitude but changes from positive to negative. The original angle between them was

At $602 per ton, what would be the cost of straight urea needed to apply 0.9 lb N/M 3 times per season to 78.0 acres of school grounds? Answer to the nearest dollar.

Name some physical quantities that are universally conserved.

A non-homogeneous bar is 50 cm long and its linear density is given by the function λ(x)=32 + 25x² , where x is the position of the bar from one end, where λ is given g/m (grams per meter). a) Draw a sketch of the bar and mark where on the bar its center of mass is locatedb) Calculate the total mass of the rod.