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2 years ago

Given 4 < x < 9 and 5 - y< 4 , where x and y are integers. Find the maximum value of x-y.

Mathematics

1 answer:

djyliett [7]2 years ago

7 0

Answer:

You want to maximize x and minimize y

Maximum y = 8

Minimum y = 10

8-10= -2

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3 years ago

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2 years ago

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The lateral area of a cone is 400 pi cm squared. The radius is 10 cm. Find the slant height to the nearest tenth.

Ilia_Sergeevich [38]

Answer:

Option A. $40\ cm$

Step-by-step explanation:

we know that

The lateral area of a cone is equal to

$LA=\pi rl$

we have

$LA=400\pi \ cm^{2}$

$r=10\ cm$

substitute and solve for l (slant height)

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8 0

2 years ago

Use the Newton-Raphson method to find the root of the equation f(x) = In(3x) + 5x2, using an initial guess of x = 0.5 and a stop

xxMikexx [17]

Answer with explanation:

The equation which we have to solve by Newton-Raphson Method is,

f(x)=log (3 x) +5 x²

$f'(x)=\frac{1}{3x}+10 x$

Initial Guess =0.5

Formula to find Iteration by Newton-Raphson method

$x_{n+1}=x_{n}-\frac{f(x_{n})}{f'(x_{n})}\\\\x_{1}=x_{0}-\frac{f(x_{0})}{f'(x_{0})}\\\\ x_{1}=0.5-\frac{\log(1.5)+1.25}{\frac{1}{1.5}+10 \times 0.5}\\\\x_{1}=0.5- \frac{0.1760+1.25}{0.67+5}\\\\x_{1}=0.5-\frac{1.426}{5.67}\\\\x_{1}=0.5-0.25149\\\\x_{1}=0.248$

$x_{2}=0.248-\frac{\log(0.744)+0.30752}{\frac{1}{0.744}+10 \times 0.248}\\\\x_{2}=0.248- \frac{-0.128+0.30752}{1.35+2.48}\\\\x_{2}=0.248-\frac{0.17952}{3.83}\\\\x_{2}=0.248-0.0468\\\\x_{2}=0.2012$

$x_{3}=0.2012-\frac{\log(0.6036)+0.2024072}{\frac{1}{0.6036}+10 \times 0.2012}\\\\x_{3}=0.2012- \frac{-0.2192+0.2025}{1.6567+2.012}\\\\x_{3}=0.2012-\frac{-0.0167}{3.6687}\\\\x_{3}=0.2012+0.0045\\\\x_{3}=0.2057$

$x_{4}=0.2057-\frac{\log(0.6171)+0.21156}{\frac{1}{0.6171}+10 \times 0.2057}\\\\x_{4}=0.2057- \frac{-0.2096+0.21156}{1.6204+2.057}\\\\x_{4}=0.2057-\frac{0.0019}{3.6774}\\\\x_{4}=0.2057-0.0005\\\\x_{4}=0.2052$

So, root of the equation =0.205 (Approx)

Approximate relative error

$=\frac{\text{Actual value}}{\text{Given Value}}\\\\=\frac{0.205}{0.5}\\\\=0.41$

Approximate relative error in terms of Percentage

=0.41 × 100

= 41 %

7 0

2 years ago

Can someone please help me answer this question, I am stuck on this question

svetoff [14.1K]

Step-by-step explanation:

The answer will be 380 inches as of what I have done

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2 years ago

Given 4 < x < 9 and 5 - y< 4 , where x and y are integers. Find the maximum value of x-y. ​

Given 4 < x < 9 and 5 - y< 4 , where x and y are integers. Find the maximum value of x-y.