6,196 Answered Questions for the topic calculus

2d

#### Find the limit --> 0

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

2d

#### 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

2d

#### arithmetic combinations

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

2d

#### Write answer as a + bi

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

2d

#### Synthetic Division

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

2d

#### 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=

2d

#### 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=

2d

#### 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)

2d

#### 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

3d

#### 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

4d

#### 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

4d

#### 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

4d

#### Finding the derivative of a function

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

5d

5d

#### 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.

5d

#### 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?

5d

#### implicit differentiation

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

5d

#### 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

5d

#### 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

5d

#### Find dy / dx for given equation

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

5d

#### 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].

5d

#### 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

5d

#### 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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