If f(x)=1x+2, find f′(−5), using the definition of derivative. f′(−5) is the limit as x→_____ of the expression __________ The value of this limit is _________

If f(x)=1x+2, find f′(−5), using the definition of derivative. f′(−5) is the limit as x→_____ of the expression __________ The value of this limit is _________

Evaluate the definite integral 1 ∫ x^2√(4x+8x) dx 0

Word problem

Diameter is three times the altitude.

One side of the fencing is adjacent to a river. River | | Y | ...

Find dy/dx in terms of x and y if ^4√x=3√y. dy/dx=_____

Use Newton's method to approximate the indicated root of the following equation correct to six decimal places. The root of 2x^3−6x^2+3x+1=0in the interval [2,3].

Word problem

2. (6 pts) Based on data about the growth of a variety of ornamental cherry trees, the following logarithmic model about these trees was determined: h(t) = 5.105 ln(t) + 6.099, where...

Your father is in the process of building a new bungalow house for the whole family. Since you are an engineering student, he asked you to help in the designing of the house. He wants the windows...

Find dy/dx in terms of x and y if x^9+y^2=√2 dy/dx=_____

I need to know the function's equation

When your first child is born, you begin to save for college by depositing $475 per month in an account paying 12% interest per year. You increase the amount you save by 2% per year. With continuous...

Find a linear function whose graph is the plane that intersects the xy-plane along the line y= x+7 and contains the point (-4,-4,-21).

2. One of the simplest models says that the rate at which the number of individuals without access is decreasing (i.e. the rate at which individuals acquire internet access) is proportional to the...

Evaluate the integral of dt/t√t from 1 to 4

If 16x^2 - 24x + k = 0 has two roots (a double root) equal to 3/4, 4 = ?

A cattle trough has a trapezoidal cross section with a height of 100 cm and horizontal sides of width 100 cm and 50 cm. Assume the length of the trough is 1000 cm. The density of water is...

The top of a 17 foot ladder, leaning against a vertical wall, is slipping down the wall at the rate of 4 feet per second. How fast is the bottom of the ladder sliding along the ground when the bottom...

Oil spilled from a ruptured tanker spreads in a circle whose area increases at a constant rate of 9 mi^2/hr. How rapidly is radius of the spill increasing when the area is 9 mi^2?

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