## Calculus Resources What is the Ratio of height and radius of cone with maximised volume

A cone shaped drinking cup is made from a circulaR piece of paper of radius r by cutting out a sector and joining the edges CB and CD. if the cut is made so that the volume of the resulting cup is...

A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat. If the rope is pulled in at a rate of 1...

If a snowball melts so that its surface area decreases at a rate of 10 cm2/min, find the rate at which the diameter decreases when the diameter is 11 cm.  This is for my college calculus... Let O, A and B be three non-collinear points in a plane. Let OC = OB-2OA, OD = OB + 3OA and OE = -OA. Let M be the point of intersection of the line through O and C and the line through... Matrices question. PLSSSSS HELP.

4. Let n≥2, let A and B b en×n matrices and let On be the n×n matrix with every entry 0. (b) Suppose that A2 = On. Show that In − A is invertible, and that (In − A)-1 = In + A. (c)... Find the equation of the tanget line

Find an equation of the tangent line to the curve at the given point. y = sin(sin(x)), (3pi, 0) Find vector D

I hva 3 points A(-1 , 6) B(2 , 1) and C(4 , 4)   Then I have to find D, given that vector AB+CD=0 (origo)    I tried to find AB(3 , 5) and AC(2 , 5) first.    But... Suppose h = f∘g. Find h'(0)

Given that f(0) = 5 f '(5) = -7 g(0) = 5 g '(0) = 4 Calculus Writing Project

Our jalapeño pepper plants have been producing peppers like there’s no tomorrow, and Sunrise Farms has starting baking jalapeño poppers to sell at the farmer’s market. During our experiments to find... calculus- continuous functions

f(x)= x2-c for x<3      = 5x+4c for ≥3 what is the value of c that makes the function continuous?

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