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3 years ago

If you have a geometric sequence and the ‘r’ value is negative, what is the effect?

Mathematics

1 answer:

qaws [65]3 years ago

4 0

Every other nth term will be negative
example, the sequence an=2(-3)^n the sequence is
-6,18,-54, etc
alternates signs

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Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.

Tasya [4]

Answer:

$\frac{dy}{dx}=-[(\frac{5x+24}{36x-6x^2})]$

Step-by-step explanation:

Given function:

y = $\ln(\frac{(6 - x)^{\frac{3}{2}}}{x^{\frac{2}{3}}})$

we know

$\ln(\frac{A}{B})$ = ln(A) - ln(B)

thus,

y = $\ln((6 - x)^{\frac{3}{2}}) - \ln(x^{\frac{2}{3}})$

also,

ln(Aⁿ) = n × ln(A)

thus,

y = $(\frac{3}{2})\times\ln(6 - x) - (\frac{2}{3})\times\ln(x)$

therefore,

$\frac{dy}{dx}=[(\frac{3}{2})\times\frac{1}{(6-x)}\times(0 - 1)] - [ (\frac{2}{3})\times\frac{1}{x}\times1]$

$\frac{dy}{dx}=-(\frac{3}{2(6-x)}) - (\frac{2}{3x})$

$\frac{dy}{dx}=-[(\frac{3(3x)+2\times2(6-x)}{2(6-x)\times(3x)})]$

$\frac{dy}{dx}=-[(\frac{5x+24}{36x-6x^2})]$

5 0

4 years ago

If l run 9/10 in five minutes how many I run in one minute

Illusion [34]

You would run .18 miles

6 0

3 years ago

Can someone help me please?

stich3 [128]

Have you tried asking a teacher for help before this

and did you try to take notes cuse notes are your best friends

6 0

3 years ago

Read 2 more answers

Angles A and B are complementary. If sin A = 4x + 10 and cos B = 2x + 16, what is the value of x? (1 point) 3 4 13 22

olga_2 [115]

Answer: 3

Step-by-step explanation:

The sine of an angle is equal to the cosine of its complement, so

$4x+10=2x+16\\\\2x+10=16\\\\2x=6\\ \\ x=3$

5 0

2 years ago

There are 72 girls playing in the playground 3/7 of the children in the playground are boys how many children are playing in the

kogti [31]

Fraction of girls = 1 - 3/7 = 4/7

4/7 is equivalent to 72 girls
1/7 .. .. ............. 72 / 4 = 18
Total number of children = 7/7 = 18*7 = 126 Answer

6 0

4 years ago