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Use a graph or level curves to find the local maximum and minimum values and saddle points of the function. Then use calculus to find these values precisely. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x,y)=si...

Find the dimensions of the rectangular box with largest volume if the total surface area is given as 4 cm^2. (Let x,y, and z be the dimensions of the rectangular box.)

5. Find the angle between the diagonal of a cube and the edge it meets at a vertex.

A bullet is fired from the ground at an angle of 60^o above the horizontal. What initial speed 𝑣𝑣0 must the bullet have in order to hit a point 500 ft high on a tower located 800 ft away (ignoring air resistance) ?

Given the curve C in parametric form: C : x =2cos(t) , y=2sin(t), z =2t; 0≤tπ≤2π Find each of the following in terms of t : a) The velocity v(t) b) The speed ds/dt c)The acceleration a(t) d) The unit tangent vector T(t) e)The curvature k and the normal ve...

It's good but the works is not clear