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3 years ago

Need help with question 15

Mathematics

1 answer:

OLga [1]3 years ago

6 0

I hope this helps you

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The diagram shows the curve with equation y = ( 1 + x ) cosx.

r-ruslan [8.4K]

Answer:

y = 1, 1.319, 1.024, 0

Step-by-step explanation:

Given equation:

$y=(1+x)\cos x$

$\textsf{when}\:x=0:$

$\begin{aligned} \implies y & =(1+0)\cos 0\\\implies y & = 1\end{aligned}$

$\textsf{when}\:x=\dfrac{\pi}{6}:$

$\begin{aligned} \implies y & =\left(1+\frac{\pi}{6}\right)\cos \left(\frac{\pi}{6}\right)\\\implies y & = 1.319\: \sf (3\:dp)\end{aligned}$

$\textsf{when}\:x=\dfrac{\pi}{3}:$

$\begin{aligned} \implies y & =\left(1+\frac{\pi}{3}\right)\cos \left(\frac{\pi}{3}\right)\\\implies y & = 1.024\: \sf (3\:dp)\end{aligned}$

$\textsf{when}\:x=\dfrac{\pi}{2}:$

$\begin{aligned} \implies y & =\left(1+\frac{\pi}{2}\right)\cos \left(\frac{\pi}{2}\right)\\\implies y & = 0\end{aligned}$

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2 years ago

What mathematicians helped to discover alternatives to euclidean geometry in the nineteenth century

Likurg_2 [28]

Answer:

Nikolai Lobachevsky and Bernhard Riemann

Step-by-step explanation:

Nikolai Lobachevsky (A russian mathematician born in 1792) and Bernhard Riemann (A german mathematician born in 1826) are the mathematicians that helped to discover alternatives to euclidean geometry in the nineteenth century.

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3 years ago

A piece of string that is 9.4 meters long is cut into two pieces. One piece is 3 times as long as the other. Find the length of

xenn [34]

9.4=3x+x

9.4=4x

=2.35

the shorter piece is 2.35 and <u>the longer piece is </u><u>7.05</u>

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3 years ago

How can i converted 4 7/10 to an improper fraction

BartSMP [9]

The whole number multiply by the denominator and add to the numerator.

$4\dfrac{7}{10}=\dfrac{4\cdot10+7}{10}=\dfrac{40+7}{10}=\dfrac{47}{10}$

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3 years ago

WILL GIVE BRAINLIEST

Rufina [12.5K]

Answer:

Step-by-step explanation:

rate of change of graph,df(x)/dx

=(120-0)/(3-1)=60

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3 years ago