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3 years ago

F(x)= x^3 - 9xf(x)=x

Mathematics

2 answers:

ziro4ka [17]3 years ago

7 0

Answer:

thats not the right answers needs to be in fraction form

Step-by-step explanation:

ratelena [41]3 years ago

5 0

Answer:

105

Explanations:

Given the function,

F(x) = x³-9x

Rate of change of the function is given by

d{f(x)}/dx = 3x²-9

Given the interval [1,6]

Rate of change can be gotten by subtracting the lower interval from the upper interval

f'(x) = 3x²-9

f'(1) = 3(1)²-9

f'(1) = 3-9 = -6

f'(6) = 3(6)²-9

f'(6) = 108 - 9

f'(6) = 99

Average rate of change of function = f'(6) - f'(1)

= 99-(-6)

= 99+6

= 105

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find the area of the trapezium whose parallel sides are 25 cm and 13 cm The Other sides of a Trapezium are 15 cm and 15 CM

Snezhnost [94]

$\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}$

Given - A trapezium ABCD with non parallel sides of measure 15 cm each ! along , the parallel sides are of measure 13 cm and 25 cm

To find - Area of trapezium

Refer the figure attached ~

In the given figure ,

AB = 25 cm

BC = AD = 15 cm

CD = 13 cm

Construction -

$draw \: CE \: \parallel \: AD \: \\ and \: CD \: \perp \: AE$

Now , we can clearly see that AECD is a parallelogram !

$\therefore$ AE = CD = 13 cm

Now ,

$AB = AE + BE \\\implies \: BE =AB - AE \\ \implies \: BE = 25 - 13 \\ \implies \: BE = 12 \: cm$

Now , In ∆ BCE ,

$semi \: perimeter \: (s) = \frac{15 + 15 + 12}{2} \\ \\ \implies \: s = \frac{42}{2} = 21 \: cm$

Now , by Heron's formula

$area \: of \: \triangle \: BCE = \sqrt{s(s - a)(s - b)(s - c)} \\ \implies \sqrt{21(21 - 15)(21 - 15)(21 - 12)} \\ \implies \: 21 \times 6 \times 6 \times 9 \\ \implies \: 12 \sqrt{21} \: cm {}^{2}$

Also ,

$area \: of \: \triangle \: = \frac{1}{2} \times base \times height \\ \\\implies 18 \sqrt{21} = \: \frac{1}{\cancel2} \times \cancel12 \times height \\ \\ \implies \: 18 \sqrt{21} = 6 \times height \\ \\ \implies \: height = \frac{\cancel{18} \sqrt{21} }{ \cancel 6} \\ \\ \implies \: height = 3 \sqrt{21} \: cm {}^{2}$

Since we've obtained the height now , we can easily find out the area of trapezium !

$Area \: of \: trapezium = \frac{1}{2} \times(sum \: of \:parallel \: sides) \times height \\ \\ \implies \: \frac{1}{2} \times (25 + 13) \times 3 \sqrt{21} \\ \\ \implies \: \frac{1}{\cancel2} \times \cancel{38 }\times 3 \sqrt{21} \\ \\ \implies \: 19 \times 3 \sqrt{21} \: cm {}^{2} \\ \\ \implies \: 57 \sqrt{21} \: cm {}^{2}$

hope helpful :D

6 0

2 years ago

Please help with the this give tiny explanation

Mila [183]

Answer:

first we begin from 1 to 100 we find 11 numbers contain 1 then we count 1s from 10 to 19 we get 9 numbers but there is an exciption in number 11 as it cotains 2 1s so thenumber of 1s is 21

5 0

3 years ago

Which is the center of a circle whose equation is x2+y2+4x-8y+11=0?

Nikolay [14]

Answer:

Center (-2 , 4)

Step-by-step explanation:

x^2 + 4x + y^2 - 8y = - 11

(x^2 + 4x + (4/2)^2 + (y^2 - 8y + (8/2)^2 ) = - 11 + 4 + 16

(x + 2)^2 + (y - 4)^2 = 9

Center (-2, 4)

6 0

2 years ago

2 plus 2/5 times 23 / 4

nexus9112 [7]

Answer:

163/20 or 8.15

Step-by-step explanation:

well we are going to do PEMDAS

parentheses

exponents

multiplication/ division

addition/ subtraction

2 + 2/5 x 23/4 (i made the fractions into decimals)

2 + 6.15

163/20 or 8.15

7 0

3 years ago

Read 2 more answers

If x is a number that is 7 more than y, how do you express x as a function of y?

Y_Kistochka [10]

Answer:

answer is e

hope.it helps

plz mark as brainliest

5 0

3 years ago