3 years ago

Limit as x approaches pi/2 of cos(x)/x-(pi/2)

1 answer:

4 0

<span>plug in x=0 gives 0/0. This is one of the indeterminate forms (some others are ∞/∞ and 0·∞) use L'Hospital's Rule.
Differentiate the top and bottom of the fraction:
lim (cos x) / (x - π/2) => lim (-sin x) / (1 - 0)
Now you can substitute x = π/2 without problem
lim = -1/1= -1</span>

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Answer:

True

Step-by-step explanation:

The definition of the function is a relation with exactly one x for each y. x is the domain, and y is the range, so all functions have a domain and a range.

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2 years ago

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Contact [7]

Answer:

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Ksivusya [100]

Answer:

y = ac / (a - b - c)

Step-by-step explanation:

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Distribute

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2 years ago

Q3. In a hydraulic lift, a 1400 N force is applied to a 0.5 m2 piston. Calculate the minimum surface area of the large piston to

blondinia [14]

Answer:

1.8m^2 approx

Step-by-step explanation:

Given data

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A1=0.5m^2

P2=5000 N

A2=??

Let us apply the formula to calculate the Area A2

P1/A1= P2/A2

substitute

1400/0.5= 5000/A2

cross multiply

1400*A2= 5000*0.5

1400*A2= 2500

A2= 2500/1400

A2= 1.78

Hence the Area is 1.8m^2 approx

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3 years ago

The diagram below shows a triangle with base (x+5) and height 2x inside a shaded rectangle with length (3x+1) and width (3x-5).

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Answer:

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Step-by-step explanation:

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2 years ago