3 years ago

Use implicit differentiation to find y' if (x² + y2 - 1) – 2 %y3 = 0. Use a graphing utility to plot this

Mathematics

1 answer:

ivolga24 [154]3 years ago

8 0

Answer:

hi friends it is the solution I hope you find it easy

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olga nikolaevna [1]

Answer:

See proof below

Step-by-step explanation:

We have to verify that if we substitute $a_n=4^n+2(-1)^n$ in the equation $a_n=3a_{n-1}+4a_{n-2}$ the equality is true.

Let's substitute first in the right hand side:

$3a_{n-1}+4a_{n-2}=3(4^{n-1}+2(-1)^{n-1})+4(4^{n-2}+2(-1)^{n-2})$

Now we use the distributive laws. Also, note that $(-1)^{n-1}=\frac{1}{-1}(-1)^n=(-1)(-1)^{n}$ (this also works when the power is n-2).

$=3(4^{n-1})+6(-1)^{n-1}+4(4^{n-2})+8(-1)^{n-2}$

$=3(4^{n-1})+(-1)(6)(-1)^{n}+4^{n-1}+(-1)^2(8)(-1)^{n}$

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then the sequence solves the recurrence relation.

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4 years ago

The first terms of a geometric sequence are 0.778,-2.33,7,-21, and 63. What is the 6th term?

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If you continue the pattern by multiplying the term by -3, you will eventually get -189 as the 6th term

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Rewrite the expression with the given base. 25^3x with a base of 5.

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