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2 years ago

I need help badly if you can help thank you very much

Mathematics

2 answers:

MArishka [77]2 years ago

7 0

Answer:

(24,4,84)

Step-by-step explanation:

Since they restricted our domains to certain x values, we can find the range by plugging in the x values to find it y value or output.

$f( - 2) = 5( { - 2}^{2} ) + 4$

$5(4) + 4 = 24$

$f(0) = - 5( {0}^{2} ) + 4 = 4$

$5(4) {}^{2} + 4 = 84$

So our range is (24,4,84)

timurjin [86]2 years ago

7 0

Answer:

f(x)=5x²+4

f(-2)=5×(-2)²+4

5×4+4
24

f(0)=5(0)²+4

f(4)=5×(4)²+4

5×16+4
84

so the range of function{-2,0,4}is{24,4,85}

hope it helps.

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Find the absolute extrema of the function over the region R. (In each case, R contains the boundaries.) Use a computer algebra s

algol [13]

f(x, y) = x ² - 4xy + 5

has critical points where both partial derivatives vanish:

∂f/∂x = 2x - 4y = 0 ==> x = 2y

∂f/∂y = -4x = 0 ==> x = 0 ==> y = 0

The origin does not lie in the region R, so we can ignore this point.

Now check the boundaries:

• x = 1 ==> f (1, y) = 6 - 4y

Then

max{f (1, y) | 0 ≤ y ≤ 2} = 6 when y = 0

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• x = 4 ==> f (4, y) = 12 - 16y

Then

max{f (4, y) | 0 ≤ y ≤ 2} = 12 when y = 0

max{f (4, y) | 0 ≤ y ≤ 2} = -4 when y = 2

• y = 0 ==> f (x, 0) = x ² + 5

Then

max{f (x, 0) | 1 ≤ x ≤ 4} = 21 when x = 4

min{f (x, 0) | 1 ≤ x ≤ 4} = 6 when x = 1

• y = 2 ==> f (x, 2) = x ² - 8x + 5 = (x - 4)² - 11

Then

max{f (x, 2) | 1 ≤ x ≤ 4} = -2 when x = 1

min{f (x, 2) | 1 ≤ x ≤ 4} = -11 when x = 4

So to summarize, we found

max{f(x, y) | 1 ≤ x ≤ 4, 0 ≤ y ≤ 2} = 21 at (x, y) = (4, 0)

min{f(x, y) | 1 ≤ x ≤ 4, 0 ≤ y ≤ 2} = -11 at (x, y) = (4, 2)

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2 years ago

Which equation is the inverse of y = 100 – x2?

sdas [7]

Answer:

Step-by-step explanation:

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3 years ago

Help me with these math questions....

Nady [450]

Answer: cotθ

Step-by-step explanation:

tanθ * cos²θ * csc²θ

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= $\dfrac{cos\theta}{sin\theta}$

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Step-by-step explanation:

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