6,196 Answered Questions for the topic calculus

Find the limit --> 0

Find .Question options: 1) 0 2)  Does not exist 3)  4) 

Find lim x --> 1 f(x) using graph

Using the graph of f(x) below, find .Question options: 1) 2 2)  −1 3)  −2 4)  Does not exist

arithmetic combinations

f(x) = x2 + 1 and g(x) = x - 41) (f + g)(2)2) (fg)(6)3) (fg)(5) + f(4)

Write answer as a + bi

Simplify and write answer as a + bia. (2 + 5i) + (-2 - 4i)b. (6 + 8i) (3 - 3i)

Synthetic Division

Use synthetic division to solve:x5 - 4x4 - 2x3 + 4x2 + x = 0

Find where the line which passes through the two points (1,2) and (3,5) intersects the line through (2,1) and (4,-6).

Find where the line which passes through the two points (1,2) and (3,5) intersects the line through (2,1) and (4,-6).X=Y=

Find the equation of the line through (2,a) and (5,b).

Find the equation of the line through (2,a) and (5,b).Y=

given the function f(x,y)=3x2+4xy+3y2 and u=x+y, v=x-y find the new function expressed in f(u,v). See description

given the function f(x,y)=3x2+4xy+3y2and u=x+y,v=x-y.find the new function expressed in f(u,v)

Word Problem - Applications of differentiation

A rectangular box with a square base and a cover is to have a volume of 10 m3. If the cost of the material for the top and base is $10 per square metre and the cost of the material for the sides is... more

Fluid Force (Calculus 2)

Set up the integral to compute the magnitude of the fluid force (as a multiple of ρg) on the semicircular face of the half cylindrical tank with cross section given by under the following... more

Volume of Cylinder

The radius of a 12 inch right circular cylinder is measured to be 4 inches, but with a possible error of ±0.2 inch. What is the resulting possible error in the volume of the cylinder? Include units... more

Find Maximum Volume

A 160-inch strip of metal 20 inches wide is to be made into a small open trough by bending up two sides on the long side, at right angles to the base. The sides will be the same height, x. If the... more

Finding the derivative of a function

Find the derivative of the given function. f(x)=6x3-9x+4

fundamental theorem of calculus

Use the Fundamental Theorem of Calculus to find the "area under curve" of f(x)=4x+6 between x=1 and x=3.

antiderivative word problem

A ball is shot from the ground straight up into the air with initial velocity of 49 ft/sec. Assuming that the air resistance can be ignored, how high does it go?

implicit differentiation

If 4x^2+4x+xy=5 and y(5)=−23, find y'(5) by implicit differentiation.

Find maximum volume

A 160-inch strip of metal 20 inches wide is to be made into a small open trough by bending up two sides on the long side, at right angles to the base. The sides will be the same height, x. If the... more

Find Maximum volume

A 160-inch strip of metal 20 inches wide is to be made into a small open trough by bending up two sides on the long side, at right angles to the base. The sides will be the same height, x. If the... more

Find dy / dx for given equation

Find  for 4 - xy = y3. You must show your work to receive credit. 

x-coordinates where f '(x) = 0

Find the x-coordinates where f '(x) = 0 for f(x) = 2x + sin(2x) in the interval [0, 2π]. 

Use the table to evaluate d/dx

Use the table below to evaluate  at x = 1. x 1 2 3 4 f(x) 6 1 2 2 f '(x) 6 1 10 2 g(x) 1 4 4 3 g '(x) 4 5 7 -4

Finding average velocity

A particle moves on a line away from its initial position so that after t hours it is s = 6t2 + 2t miles from its initial position. Find the average velocity of the particle over the interval [1,... more
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