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2 years ago

Maxim/Minimum Extrema derivatives

1 answer:

8 0

so every time the phrase 'minimum' or 'maximum' show up in a problem with an equation, it means we need to do the math operation of taking the derivative. make senes?can you find the derivative of the equation given?

4.1billion barrels in 2005

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Determine the equation of each line with the following properties:

iris [78.8K]

Answer:

a) y =2/3 x + 7.

b) x = -1

c) y = -4/5 x - 1/5

d) y = -3/2 x + 5/2.

Step-by-step explanation:

a) Intercept form y = mx + b where m = 2/3 and b = 7

b) y can take any value but x is always -1.

c) Slope m = (-1-3)/ (1 - -4)

= -4/5

Using point-slope form where m = -4/5 and x1 y1 = 1 , -1:

y - y1 = m(x - x1)

y - -1 = -4/5(x - 1)

y + 1 = -4/5x + 4/5

y = -4/5 x - 1/5

d) The slope m of the line perpendicular to this line is:

-1 / 2/3

m = -3/2.

When x = -1 , y = 4 so using the slope intercept form of a line

y = mx + b

4 = -3/2 * -1 + b where b = the y-intercept.

4 = 3/2 + b

b = 4 - 3/2 = 5/2.

The equation is y = -3/2 x + 5/2.

3 0

3 years ago

Pls help I’ll brainlest ASAP

Burka [1]

So, and, but, but, or, nor, so. Im pretty sure this is correct.

5 0

2 years ago

Is -33 a whole number?

Jet001 [13]

Answer/Step-by-step explanation:

-33 is not a whole number. A whole number is a number(positive) that contains no decimals nor fractions.

5 0

2 years ago

Write the sum using summation notation, assuming the suggested pattern continues. 5 - 15 + 45 - 135 + ...

nalin [4]

Answer:

summation of five times negative three to the power of n from n equals zero to infinity

Step-by-step explanation:

Summation Notation

It represents the sum of a finite or infinite number of terms. Let's analyze the terms of the given succession:

5-15+45-135+...

If we take 5 as a common factor, we have

5(1-3+9-27+...)

The parentheses contain the alternate sum/subtraction of powers of 3. The odd terms are positive, the even terms are negative, thus the exponent must be n starting from 0 or n-1 starting from 1

The summation is then represented by

$\sum_{n=0}^{\infty}5(-3)^n$

This corresponds with the option:

summation of five times negative three to the power of n from n equals zero to infinity

8 0

2 years ago

What type of number is −0.5/ −0.5

Ede4ka [16]

Answer:

$\frac{ - 0.5}{ - 0.5} = 1 \\$

1 is a whole number, an integer, and rational.

Step-by-step explanation:

HOPE THIS HELPS.

7 0

1 year ago