04/21/20

#### Optimize Real World Solutions: Storage Shed

A storage shed is to be built in the shape of a box with a square base. It is to have a volume of 1053 cubic feet. The concrete for the base costs $8 per square foot, the material for the roof...
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04/13/20

#### f(x) = 3x2 − 5x + 2, [0, 2] , solving of the Mean Value Theorem

Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval?f(x) = 3x2 − 5x + 2, [0, 2]If it satisfies the hypotheses, find all numbers c that satisfy the conclusion...
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04/10/20

#### Find F'(a) and G'(a)

Let F(x) = (x^3) and G(x) = (f(x))^3 and suppose thata^2 = 12, f(a) = 2, f'(a) = 15, f'(a^3) = 15Find F'(a) and G'(a).

04/08/20

#### lagrant multipliers

find the points on the ellipse x^2+16y^2=16 that are furthest away from the point(0,-1)using the method of Lagrange Multipliers

04/06/20

#### Verify the conclusion of Green's Theorem by evaluating both sides of the equations for the field

Verify the conclusion of Green's Theorem by evaluating both sides of the equations for the field F = - 3yi + 3xjTake the domains of integration in each case to be the disk R: x2 + y2 ≤ a2 and its...
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03/08/18

#### Related rates question?

Water is poured into a conical container at the rate of 10 cm3/sec. The cone points directly down, and it has a height of 25 cm and a base radius of 5 cm. How fast is the water level rising when...
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11/19/14

#### Find an equation of variation in which y varies inversely as x and y=12 when x=3. Then find the value of y when x=20

Find an equation of variation in which y varies inversely as x and y=12 when x=3. Then find the value of y when x=20

#### A positive real number is one more than its reciprocal. Find the number.

Is the equation x=1/x + 1

#### Is the function injective or surjective?

Determine whether the function f: NxN --> Z with f(x,y) = (1-x^2)[y/3] is either:
a) injective
b) surjective
Injective function
A function f is said to be one-to-one, or...
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