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Limits and derivatives

Find the derivative. a) f= 4-sqrt(x+3) b) f= (x+1)/(2-x) See attachment below for additional information.

Subject:

Math

Topic:

Calculus

Posting ID:

1365

OTA ID:

101536

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Simplifying mathematical expressions.

2^3 * 2^-4 (from Modern Engineering Mathematics 3rd Ed Ex 1.2.5.1(a))

Subject:

Math

Topic:

Calculus

Posting ID:

1486

OTA ID:

102499

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A relative rates calculus problem regarding a kite.

A kite 100ft above the ground moves away horizontally at a speed of 8ft/sec. At what rate is the angle between the string and the horizontal decreasing when 200ft of string has been let out?

Subject:

Math

Topic:

Calculus

Posting ID:

1767

OTA ID:

102499

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A related rates calculus problem in regards to a cone.

A waffle cone has a height of 6in with a radius at the top being 1 inch. A spherical scoop of ice cream is placed on top of the cone and melts into the cone. At a particular instant of time, the radius of the ice cream is 3/2 inch and is decreasing by 1/100 in/min. At this same time, the height of the melted ice cream in the cone is 2 inches. How is the height of the melted ice cream in the cone changing?

Subject:

Math

Topic:

Calculus

Posting ID:

1769

OTA ID:

102499

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Working with limits.

Solve for t. lim t-->0 (sin t)^2 / (4t)^2

Subject:

Math

Topic:

Calculus

Posting ID:

1778

OTA ID:

101362

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