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3 years ago

Y=2x x=-y+6 What does it equal to

Mathematics

1 answer:

erik [133]3 years ago

4 0

Answer:

y=4

x=2

Step-by-step explanation:

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If the local linear approximation of f(x) = 2cos x + e^2x at x = 2 is used to find the approximation for f(2.1), then the % erro

yKpoI14uk [10]

Answer-

The % error of this approximation is 1.64%

Solution-

Here,

$\Rightarrow f(x) = 2\cos x + e^{2x}$

$\Rightarrow f'(x) = -2\sin x + 2e^{2x}$

And,

$\Rightarrow f(2) = 2\cos 2 + e^{4}$

$\Rightarrow f'(2) = -2\sin 2 + 2e^{4}$

Taking (2, f(2)) as a point and slope as, f'(2), the function would be,

$\Rightarrow y-y_1=m(x-x_1)$

$\Rightarrow y-(2\cos 2 + e^{4})=(-2\sin 2 + 2e^{4})(x-2)$

$\Rightarrow y=(-2\sin 2 + 2e^{4})(x-2)+(2\cos 2 + e^{4})$

The value of f(2.1) will be

$\Rightarrow y=(-2\sin 2 + 2e^{4})(2.1-2)+(2\cos 2 + e^{4})$

$\Rightarrow y=(-2\sin 2 + 2e^{4})(0.1)+(2\cos 2 + e^{4})$

$\Rightarrow y=64.5946$

According to given function, f(2.1) will be,

$\Rightarrow f(2.1) = 2\cos 2.1 + e^{2(2.1)}$

$\Rightarrow f(2.1) = 65.6766$

$\therefore \%\ error=\dfrac{65.6766-64.5946}{65.6766}=0.0164=1.64\%$

5 0

3 years ago

Can someone please help me with question 4

bazaltina [42]

Yes what is the four question

4 0

3 years ago

Westley and Buttercup are each saving money. Westley starts with $85 in in his savings and add $5 per week (y=85+5x)

love history [14]

Answer:

After 5 weeks.

Step-by-step explanation:

Westley starts with $85 and saves $5 per week. So:

$y=85+5x$

Buttercup starts with $10 and saves $20 per week. So:

$y=10+20x$

When they have the same amount of money, the two equations will be equal to each other. Therefore:

$85+5x=10+20x$

Solve for x. Subtract 10 from both sides:

$75+5x=20x$

Subtract 5x from both sides:

$75=15x$

Divide both sides by 15:

$x=5$

Westley and Buttercup will have the same amount of money after 5 weeks.

5 0

2 years ago

The deck on a home is shaped like a parallelogram. The parallelogram has an area of 544.5 ft2 and a base measurement of 16.5 ft.

defon

Answer:

The height of the parallelogram is 33 ft

Explanation:

The area of the parallelogram can be calculated using the following rule:

Area of parallelogram = base * height

In the problem, we are given that:

Area = 544.5 ft²

Base = 16.5 ft

Substitute with the given values in the above equation and solve for the height as follows:

Area = base * height

544.5 = 16.5 * height

$height = \frac{544.5}{16.5} = 33 ft$

Hope this helps :)

5 0

3 years ago

Read 2 more answers

Find the number of real number solutions for the equation. x2 + 0x − 1 = 0

kolezko [41]

Answer:

x=1 or x=−1 its either one of the other.

Step-by-step explanation:

6 0

3 years ago