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Verizon [17]
3 years ago
13

Is a equilateral triangle always acute triangle

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
3 0

Yes an equilateral triangle is a type or acute triangle.

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Find the taylor series for f(x) centered at the given value of a. [assume that f has a power series expansion. do not show that
RUDIKE [14]

The taylor series for the f(x)=8/x centered at the given value of a=-4 is -2+2(x+4)/1!-24/16 (x+4)^{2}/2!+...........

Given a function f(x)=9/x,a=-4.

We are required to find the taylor series for the function f(x)=8/x centered at the given value of a and a=-4.

The taylor series of a function f(x)=f(a)+f^{1}(a)(x-a)/1!+ f^{11}(a)(x-a)^{2} /2! +f^{111}(a)(x-a)a^{3}/3!+..........

Where the terms in f prime f^{1}(a) represent the derivatives of x valued at a.

For the given function.f(x)=8/x and a=-4.

So,f(a)=f(-4)=8/(-4)=-2.

f^{1}(a)=f^{1}(-4)=-8/(-4)^{2}

=-8/16

=-1/2

The series of f(x) is as under:

f(x)=f(-4)+f^{1}(-4)(x+4)/1!+  f^{11}(-4)(x+4)^{2}/2!.............

=8/(-4)-8/(-4)^{2} (-4)(x+4)/1!+  24/(-4)^{3} (-4)(x+4)^{2}/2!.............

=-2+2(x+4)/1!-24/16 (x+4)^{2}/2!+...........

Hence the taylor series for the f(x)=8/x centered at the given value of a=-4 is -2+2(x+4)/1!-24/16 (x+4)^{2}/2!+...........

Learn more about taylor series at brainly.com/question/23334489

#SPJ4

3 0
1 year ago
Find the value of PR if Q is between P and R<br> when PQ=25, PQ=2x+1, and QR=x.<br> X<br> ат<br> X=8
Eva8 [605]

Answer:

PR = 37

Step-by-step explanation:

Given

PQ = 25

PQ = 2x +1

QR = x

Required

PQ

Since Q is between the given points, then:

PR = PQ + QR

This gives:

PR = 2x + 1 + x

Collect like terms

PR = 2x + x+ 1

PR = 3x + 1

Next, solve for x

We have:

PQ = 25

PQ = 2x +1

This gives:

2x + 1 = 25

Collect like terms

2x = 25 -1

2x = 24

Divide by 2

x = 12

So:

PR = 3x + 1

PR = 3 * 12 + 1

PR = 37

7 0
2 years ago
You invest an initial $1,000 in an account that has an annual interest rate of 2%, compounded quarterly. How much money will you
stellarik [79]
1,400 it will be 20 qrtly making 80 a year time 5 years
3 0
3 years ago
A bouqet had 10 flower and sold it for 90$ which is the rate of $_ per flower
lana [24]

Answer:

$9 per flower

Step-by-step explanation:

divide cost ($90) by the number of items (10 flowers)

6 0
3 years ago
Read 2 more answers
10x +y =6 written in slope intercept form​
hodyreva [135]

Answer:

y = -10x + 6

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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