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olga_2 [115]
3 years ago
8

Use the equation m Subscript PQ Baseline equals StartFraction f left parenthesis x 1 plus h right parenthesis minus f left paren

thesis x 1 right parenthesis Over h EndFraction mPQ= fx1+hâfx1 h to calculate the slope of a line tangent to the curve of the function y equals f left parenthesis x right parenthesis equals 2 x squared y=f(x)=2x2 at the point Upper P left parenthesis x 1 comma y 1 right parenthesis equals Upper P left parenthesis 3 comma 18 right parenthesis Px1,y1=P(3,18).

Mathematics
1 answer:
babunello [35]3 years ago
3 0

Answer:

  m = 12

Step-by-step explanation:

For f(x) = 2x² you want to find the slope m using ...

  m = (f(x+h) -f(x))/h

at x=3.

Filling in the function definition and its arguments, we have ...

  m = (2(x+h)² -2x²)/h = (2x² +4hx +2h² -2x²)/h = 4x +2h

The value of this as h goes to zero is ...

  m = 4x

At x=3, the slope is ...

  m = 4·3 = 12

_____

The attached graph shows a numerical estimate of the slope (f'(3)=12) and the line with that slope through the point P(3, 18). The line certainly appears to be tangent to the curve at that point.

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Find the cost of leveling a badminton court 132m long and 58 m broad at the rate of Rs. 80 per sq. m.
serg [7]

Answer:

Rs. 612,480

Step-by-step explanation:

Hi there,

Here the question asks us to find the cost of leveling a badminton court at the rate of Rs.80 per sq..

So by the word leveling we know that we have to find the area of the court in order to proceed further.

<em>(I am assuming the court to be rectangular in shape).</em>

Area of a rectangle = Length * Breadth

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So now that we got the area of the badminton court lets find the cost of leveling it ==>

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<u></u>

<u></u>

<u><em>If you found this answer helpful please mark me as brainliest.</em></u>

8 0
2 years ago
Jason has $2.25 worth of dimes and quarters he has twice as many dimes as quarters determine the number of dimes and the number
iris [78.8K]

Answer: jason has 10 dimes and 5 quarters.

Step-by-step explanation:

The worth of a dime is 10 cents. Converting to dollars, it becomes

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The worth of a quarter is 25 cents. Converting to dollars, it becomes

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x = 2y = 2 × 5

x = 10

6 0
3 years ago
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