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# A caluclus work problem.

A cylindrical tank of radius 4 ft and length 12 ft is lying on its side on horizontal ground. The tank initially is full of gasoline weighing 40 lb/ft3. How much work is done in pumping all this...

# Finding the volume of by rotating the region about the x-axis

A plane region is bounded by the Graph of the equation y=3-x^2 and y=abs(x). Finding the volume of by rotating the region about the x-axis.

# How do I find (fog)(x) with the given equations f(x)=8x+2 and g(x)=x^2-8 ?

normally I would know hoe to solve this is a number was in the place of the x but since the x is there, I'm stuck.

# prove that three collinear points can determine a plane.

prove that three collinear points can determine a plane.

# Optimization Problems

The Eco-venture charter company offers local environmental excursions. The fare is \$45 per person if up to 30 passengers sign up for the trip. (Note: The company does not offer the trip if fewer than...

# P=2RT/3b what is dp/dT? (differentiation)

P=2RT/3b what is dp/dT? (differentiation) I know the answer is 2R/3b but can't see the steps to get there

# Optimization Problems

Liz Energy drink is to be sold in 472 mL cylindrical cans. Since it is a new product the package designers want the cans to be more visible when displayed with competing products so they want the...

# Optimization Problems

An open-top box is to be constructed so that its base is twice as long as it is wide. Its volume is to be 2300 cm^3. FInd the dimensions that will minimize the amount of cardboard required.    Make: Length...

# how cauchy limit answers berkeleys objection of calculus?

Berkeley pointed out that presuming a number as small and then afterwards accepting it as zero is illogical in finding a derivative.moreover, why would An average slope gets closer and closer to the...

# g(x)=(x^3-8)*x^2+1/x^2-1

Differentiate the function

# Calculus and Vectors!

A ramp is inclined at 12 degrees to the horizontal. A cart is pulled 8m up the ramp by a force of 120N, at an angle of 10 degrees to the surface of the ramp. Determine the mechanical work done against...

# Calculus and differentiating

calculate d/dx f(g(x)) is f(x)= 8x^3+5x^2-7 and g(x)= 2x+7

# Explain the vector statement in a geometric way.

Let a, b and c be different vectors in 3D space, where a + b = c.   Given the statement: a x b = c x b   Question:   Explain this statement geometrically...

# Calculus and differentiating

differentiate: f(x)= (x-3)^2/ (2x+3)^3

# Calculus and differentiating

state the equation of the line tangent to the graph of f(x)= (2-x)3(2x+1)4 at x= -1

# In an arithmetic sequence...

the third term is 10 and the fifth term is 16.   a) find the common difference   b) find the first term   c) find the sum the first 20th term of the sequenc...

# Find dy/dx by implicit differentiation for y cos x = 1 + sin(xy)

Find dy/dx by implicit differentiation for y cos x = 1 + sin(xy)

X=1/4t2  y=t

# Find equation of tangetn line to the curve

I need to see the steps for solving the following equation:  Find the equation of the tangent line to the curve at the given points for y=x^2-1/x^2+x+1  (1,0).  I know the answer...

# Can some one teach me how to solve this problem in calculus????

Hi, I need someone to teach me how to solve this problem:   Find an equation of the tangent plane to the surface  ƒ(x,y) = tan(x2y)    at the point P where...