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Amanda [17]
3 years ago
12

X^6 + y^6 = 1 What does: y'' =

Mathematics
1 answer:
madreJ [45]3 years ago
5 0
Before taking the derivatives of the function, simplify the equation first for smooth operation.

x^6 + y^6 = 1

Multiply the whole equation with an exponent of 1/6 for uniformity. This would get rid of the exponents of x and y. The product would be

x + y = 1^1/6
x + y = 1

Expressing in terms of x:

y = 1 - x

Now, we derive the equation:

y' = 0 -1 = -1
y" = 0
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Can someone help me out with this?
marissa [1.9K]

Answer:

  • x = 4

Step-by-step explanation:

x has the same value as RT since they are equal sides of the isosceles triangle.

RT is also the hypotenuse of ΔRST - 30°×60°×90° right triangle.

Acoording to the property of such triangles, the ratio of sides is:

  • a : b : c = 1 : √3 : 2

We have:

  • b = 2√3 and c = RT

Use the ratio to find the lenght of RT

  • 2√3 : RT = √3 : 2
  • RT = 2*2√3/√3
  • RT = 4

So the value of x is 4 units

4 0
2 years ago
Solve for x in the parallelogram shown.<br> 30<br> X + 10<br> x=
nata0808 [166]
Since the two given side lengths are equal (because this is a parallelogram), set the two values equal to each other
x + 10 = 30
x = 20

ANSWER: x=20
5 0
2 years ago
El jardinero de un parque planta flores siguiendo cierto patrón. En la primera fila planta 4 flores, en la segunda 7 y así suces
nevsk [136]

Answer:

a) Para i = 4, hay 13 flores en la fila 4.

b) Para i = 7, hay 22 flores en la fila 7.

c) La fila 11 tiene 34 flores.

Step-by-step explanation:

De acuerdo con el enunciado, cada fila tiene tres flores más que la fila inmediatamente anterior, significando que se puede determinar el número de flores de cada fila mediante una serie aritmética:

n = 4+3\cdot (i-1), i \ge 1 (1)

Donde:

i - Índice de la fila de flores.

n - Número de flores del índice de la fila de flores.

a) Para i = 4, hay 13 flores en la fila 4.

b) Para i = 7, hay 22 flores en la fila 7.

c) Si n = 34, entonces el índice de la fila es:

i=1+\frac{n-4}{3}

i = 11

La fila 11 tiene 34 flores.

6 0
3 years ago
Miguel deposits $2000 into a bank account that earns simple interest. He writes the expression 2000 + 2000(0.015)(t/12) to repre
oee [108]

Answer:

based on the equation he would make $2.5 in the first month but realistically he would earn around $30 in the first month

Step-by-step explanation:

2000+2000(.015)(1/12)=2002.5

2002.5-2000=2.5

8 0
3 years ago
The function f(x) is shown in the graph.
Semmy [17]

Answer: Logarithmic

Explanation:

This curve is a reflection of the exponential curve over the line y = x, to show that it is the inverse of exponentials. We use logs to help isolate the exponent among other useful properties.

6 0
1 year ago
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