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harina [27]
2 years ago
9

Suppose that F and G are figures that do not overlap how is the area of their union related to the sum of their areas

Mathematics
1 answer:
AleksAgata [21]2 years ago
8 0

Answer:

not the same

Step-by-step explanation:

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If f(x) = -3x^{2} + 1 then what is the value of f(-2)
Charra [1.4K]

Answer:

37

Step-by-step explanation:

-3x^{2} + 1

replace (x) with (-2)

-3(-2)^{2} + 1

6^2 +1=36+1

=37

7 0
3 years ago
consider the function and then use calculus to answer the questions that follow 1 1/x 5/x^2 1/x^3 (a) Find the interval(s) where
boyakko [2]

Answer:

a)X=((-15-\sqrt{201},(-15+\sqrt{201}),(0,\infty)

b)Y=(\infty,\frac{1}{2}(-15-\sqrt{201} ) ),(\frac{1}{2}()-15+\sqrt{201)},0  )

Step-by-step explanation:

From the question we are told that

The Function

f(x)=1+\frac{1}{x}  +\frac{5}{x^2} +\frac{1}{x^3}

Generally the differentiation of function f(x) is mathematically solved as

f(x)=1+\frac{1}{x}  +\frac{5}{x^2} +\frac{1}{x^3}

f(x)=\frac{x^3+x^2+5x+1}{x^2}

Therefore

f'(x)=\frac{x^2+10x+3}{x^4}

Generally critical point is given as

f'(x)=0

\frac{x^2+10x+3}{x^4}=0

x=-5 \pm\sqrt{22}

Generally the maximum and minimum x value for critical point is mathematically solved as

f'(-5 \pm\sqrt{22})

Where

Maximum value of x

f'(-5 +\sqrt{22})

Minimum value of x

f'(-5 +\sqrt{22})

Therefore interval of increase is mathematically given by

f'(-5 -\sqrt{22}),f'(-5 +\sqrt{22})

f(x)

Therefore interval of decrease is mathematically given by

(-\infty,-5 -\sqrt{22}),f'(-5 +\sqrt{22},0),(0,\infty)

Generally the second differentiation of function f(x) is mathematically solved as

f''(x)=\frac{2(x^2+15x+6)}{x^5}

Generally the point of inflection is mathematically solved as

f''(x)=0

x^2+15x+6=0

Therefore inflection points is given as

x=\frac{1}{2} (-15 \pm \sqrt{201}

f''(x)>0,\frac{1}{2}(-15-\sqrt{201})

a)Generally the concave upward interval X is mathematically given as

X=((-15-\sqrt{201},(-15+\sqrt{201}),(0,\infty)

f''(x)

b)Generally the concave downward interval Y is mathematically given as

Y=(\infty,\frac{1}{2}(-15-\sqrt{201} ) ),(\frac{1}{2}()-15+\sqrt{201)},0  )

5 0
2 years ago
Pamela is 9 years younger than Jiri. The sum of their ages is 67. What is Jiri's age?
ipn [44]

Answer:

Jiri is 38 years old.

Step-by-step explanation:

First, 67 - 29 = 38 and 29 + 9 = 38.

Hope this helps!

4 0
2 years ago
A hockey game is 60 minutes. Colin plays 12 minutes. Which ratio represents Colin’s playing time compared to the total number of
drek231 [11]

Answer:

60 t0 12, or 1:5, or 1/5

Step-by-step explanation:

6 0
3 years ago
What is the length of side ab in equilateral triangle abc if the length of altitude ad to side bc is 12?
I am Lyosha [343]
\lim_{n \to \infty} a_n
6 0
3 years ago
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