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2 years ago

If f(x) = x^2 +4, find f'(1)

Mathematics

1 answer:

marissa [1.9K]2 years ago

5 0

Answer:

f'(1x) = 2x

f'(0) = 4

Step-by-step explanation:

Hope this helps if not im sorry

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X = ? y = ? 16 45 degrees

mezya [45]

Let's put more details in the figure to better understand the problem:

Let's first recall the three main trigonometric functions:

$\text{ Sine }\theta\text{ = }\frac{\text{ Opposite Side}}{\text{ Hypotenuse}}$ $\text{ Cosine }\theta\text{ = }\frac{\text{ Adjacent Side}}{\text{ Hypotenuse}}$ $\text{ Tangent }\theta\text{ = }\frac{\text{ Opposite Side}}{\text{ Adjacent Side}}$

For x, we will be using the Cosine Function:

$\text{ Cosine }\theta\text{ = }\frac{\text{ Adjacent Side}}{\text{ Hypotenuse}}$ $Cosine(45^{\circ})\text{ = }\frac{\text{ x}}{\text{ 1}6}$ $(16)Cosine(45^{\circ})\text{ = x}$ $(16)(\frac{1}{\sqrt[]{2}})\text{ = x}$ $\text{ }\frac{16}{\sqrt[]{2}}\text{ x }\frac{\sqrt[]{2}}{\sqrt[]{2}}\text{ = }\frac{16\sqrt[]{2}}{2}$ $\text{ 8}\sqrt[]{2}\text{ = x}$

Therefore, x = 8√2.

For y, we will be using the Sine Function.

$\text{ Sine }\theta\text{ = }\frac{\text{ Opposite Side}}{\text{ Hypotenuse}}$ $\text{ Sine }(45^{\circ})\text{ = }\frac{\text{ y}}{\text{ 1}6}$ $\text{ (16)Sine }(45^{\circ})\text{ = y}$ $\text{ (16)(}\frac{1}{\sqrt[]{2}})\text{ = y}$ $\text{ }\frac{16}{\sqrt[]{2}}\text{ x }\frac{\sqrt[]{2}}{\sqrt[]{2}}\text{ = }\frac{16\sqrt[]{2}}{2}$ $\text{ 8}\sqrt[]{2}\text{ = y}$

Therefore, y = 8√2.

5 0

1 year ago

1. A farmer is enclosing a rectangular area for a pigpen. He wants the length of the pen to be 15 feet longer than the width. Th

Juliette [100K]

Https://www.algebra.com/cgi-bin/plot-formula.mpl?expression=highlight%28x%3C=45%29

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3 years ago

What is 18-0.9 if you know answer pls lol

Harlamova29_29 [7]

Answer:

17.1

Step-by-step explanation:

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3 years ago

Evelyn bought 8.4 gallons of gas for $23.94. Which equation can be used to determine the price of each gallon of gas? 8.4x = 23.

adoni [48]

Answer:

the equation would be

8.4x = 23.94

Step-by-step explanation:

Let the price of each gallon of gas is $x.

And we have been given that 8.4 gallons of gas for $23.94.

So, we can make the below proportion

Cross multiplying, we get

Hence, the equation that can be used to determine the price of each gallon of gas is

pls mark as brainliest

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2 years ago

Read 2 more answers

3x-4y=0 2x+y=110 no solution

weeeeeb [17]

Answer:

(x, y) = (40, 30)

Step-by-step explanation:

A graphing calculator can show you the solution to this system of equations is (x, y) = (40, 30). That is the point of intersection where the two lines cross.

An algebraic solution can be found by using the substitution method. An expression for y can be found using the second equation:

y = 110 -2x . . . . . . subtract 2x from both sides

Using this in the first equation gives ...

3x -4(110 -2x) = 0 . . . . substitute for y

11x = 440 . . . . . . . . . simplify, add 440

x = 40 . . . . . . . . . . divide by 11

y = 110 -2(40) = 30

The solution is (x, y) = (40, 30).

5 0

2 years ago