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 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 trough is 14 ft long and its ends have the shape of isosceles triangles that are 3 ft across at the top and have a height of 1 ft. If the trough is being filled with water at a rate of 8 ft3/min,...

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...

1. 2x2-4xy+8y2+7=0 2. 2xy-x+y-3=0 3.x2-y2+4=0

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)...

y=5uv4 (assume that u and v are dependent on the variable x)

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

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...

Find the point on the graph of the function that is closest to the given point. f(x) = sqrt(x − 7) , (19, 0)

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

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...

Find an equation of the tangent line to the curve at the given point. y = x3 − 2x + 2, (3, 23)

f(x)=9x-1 for x<-1 =ax+b for -1≤x≤0.5 =5x-1 for x>0.5 what are the values of a and b to make the function continuous

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

(x^1/3-x)/x^1/2

(x+1)/(x*ln(x))

L(t) = -2.3 + 0.24t + 0.0027t^2 Question: Find dL/dt for 18 ≤ t ≤ 38, using the limit definition of the derivation and then using differentiation rules.

Suppose a function, f(t), models the price of a stock at time t. What material in this course could be used to make money by buying and selling the stock?

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