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Assoli18 [71]
2 years ago
11

HELP! Write the equation of the circle graphed below.

Mathematics
1 answer:
balu736 [363]2 years ago
6 0
4,3 and 1,0 that’s the answer
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Differentiate y=x⁴(1-2x⁵)⁶(5-8x³)².​
Liula [17]

Step-by-step explanation:

Let y(x)=f(x)g(x)h(x) where

f(x) = x^4

g(x)= (1 -2x^5)^6

h(x)= (5 - 8x^3)^2

so that

y(x) = x^4(1 -2x^5)^6(5 - 8x^3)^2

Recall that the derivative of the product of functions is

y'(x)=f'(x)g(x)h(x)+f(x)g'(x)h(x)+f(x)g(x)h'(x)

so taking the derivatives of the individual functions, we get

f'(x) = 4x^3

g'(x) = 6(1 - 2x^5)^5(-10x^4)

h'(x) = 2(5 - 8x^3)(-24x^2)

So the derivative of y(x) is given by

y'(x) = 4x^3(1 -2x^5)^6(5 - 8x^3)^2 +  x^4 6(1 -2x^5)^5(-10x^4)(5 - 8x^3)^2 +  x^4(1 -2x^5)^6 2(5 - 8x^3)(-24x^2)

or

y'(x) = 4x^3(1 -2x^5)^6(5 - 8x^3)^2

\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:- 60x^8(1 -2x^5)^5(5 - 8x^3)^2

\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:- 48x^6(1 -2x^5)^6 2(5 - 8x^3)

3 0
2 years ago
Plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help me
Vaselesa [24]
Show another picture i cant see you
5 0
2 years ago
Y=x^2+bx+c;(-2,3)
Maksim231197 [3]
<h3>Answer:  b = 4 and c = 7.</h3>

===============================================

Explanation:

Comparing y = x^2+bx+c to y = ax^2+bx+c, we see that a = 1.

The vertex given is (-2,3). In general, the vertex is (h,k). So h = -2 and k = 3.

Plug those three values into the vertex form below

y = a(x-h)^2 + k

y = 1(x-(-2))^2 + 3

y = (x+2)^2 + 3

Then expand everything out and simplify

y = x^2+4x+4 + 3

y = x^2+4x+7

We see that b = 4 and c = 7.

8 0
2 years ago
Give the explicit and recursive formula for the sequence 0,6,12,18,24
Zigmanuir [339]
<span>Your input 6,12,18,24,30,36,42,48 appears to be an arithmetic sequence</span>
3 0
3 years ago
If LN XZ, is ALMNAXYZ?<br> Y<br> M<br> Х<br> N<br> Z<br> Yes<br> No
Nikolay [14]

Answer:

Yes

Step-by-step explanation:

Yes

because we are given that

LN ≅ XZ ( side)

the picture shows that

LM ≅XY ( side)

and

MN ≅ YZ (side)

By the <u>SSS theorem of congruency</u> we conclude that ΔLMN ≅ ΔXYZ

5 0
2 years ago
Read 2 more answers
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