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4 years ago

What is the area or rectangle xbcy

Mathematics

1 answer:

jekas [21]4 years ago

8 0

2x=mc swakxmwnaixjeka

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Consider the function f(x)=−2x3+2x2−2x+2 Find the average slope of this function on the interval (4,9). By the Mean Value Theore

____ [38]

Answer:

Average slope =-242

c=6.67

Step-by-step explanation:

We are given that a function

$f(x)=-2x^3+2 x^2-2 x+2$ and interval (4,9)

We have to find the average slope of the given function and value of c in the given interval.

Using mean value theorem

${f(b)-f(a)}{b-a}=f'(c)$

a=4 and b=9

$f(9)=-2(9)^3+2(9)^2-2(9)+2$

f(9)=-1312

$f(4)=-2(4)^3+2(4)^2-2(4)+2$

$f(4)=-128+32-8+2=-102$

Substitute the values then we get

$f'(c)=\frac{f(9)-f(4)}{9-4}=\frac{-1312+102}{5}=-242$

Hence, the average value of slope is -242.

We know that f'(c)=-242

$f'(x)=-6x^2+4x-2$

Substitute x=c

Then $f'(c)=-6c^2+4c-2$

$-6 c^2+4 c-2=-242$

$-3 c^2+ 2c -1=-121$

Dividing on both sides by 2

$3c^2-2c+1-121=0$

$3c^2-2 c-120=0$

$3c^2-20c+18c-120=0$

$(3c-20)(c+6)=0$

$3c=20$ and $c+6=0$

$c=\frac{20}{3}$ and c=-6 It is not possible because it does not lie in the given interval

Therefore,c=6.67 lie in the given interval

4 0

3 years ago

Please answer this ASAP

stellarik [79]

9514 1404 393

Explanation:

1. ∠BAC ≅ ∠BCA, BD ≅ BE, ∆BDA and ∆BEC are right triangles . . . . given

2. ∆ABC is isosceles . . . . definition of isosceles triangle

3. BA ≅ BC . . . . definition of isosceles triangle

4. ∆BDA ≅ ∆BEC . . . . HL theorem

5. AC ≅ CE . . . . CPCTC

4 0

3 years ago

The 25th term of a sequence is 121. The 80th term is 506. What is the first term

shtirl [24]

Answer:

-47

Step-by-step explanation:

that's the correct answer

6 0

3 years ago

This is based off my previous question asked. please help!

Nana76 [90]

Answer:

Step-by-step explanation:

just trust me A+ here you come

6 0

3 years ago

Read 2 more answers

In 2015, the population of a district was 10,600. With an annual growth rate of approximately 4%, what will the population be in

Murljashka [212]

Answer:

$19,090\ people$

Step-by-step explanation:

we know that

The equation of a exponential growth function is given by

$y=a(1+r)^x$

where

y is the population

x is the time in years since year 2015

a is the initial value

r is the rate of change

we have

$a=10,600\\r=4\%=4/100=0.04$

substitute

$y=10,600(1+0.04)^x$

$y=10,600(1.04)^x$

In the year 2040 the value of x is equal to

$x=2040-2015=25\ years$

substitute

$y=10,600(1.04)^{15} =19,090\ people$

7 0

3 years ago