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melomori [17]
3 years ago
15

Which of the following functions is graphed below

Mathematics
1 answer:
Lady_Fox [76]3 years ago
4 0
B. The quadratic is x < 3and the linear is x > or = 3
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Find intergral (e^xcos(3x)dx
ArbitrLikvidat [17]

Answer:

Hello,

Step-by-step explanation:

Here is an other method than classical:

I=\int {e^x*cos(3x)} \, dx =e^x*(k_1/cos(3x)+k_2*sin(3x) )\\\\Let's\ derivate:\\\\e^xcos(3x)=e^x(k1*cos(3x)+k_2*sin(3x))+e^x*(k_1*(-sin(3x))*3+k_2*cos(3x)*3)\\\\By\ identification:\\\\\left\{\begin{array}{ccc}k_1+3k_2&=&1\\-3k_1+k2&=&0\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}k_1&=&\dfrac{1}{10}\\k2&=&\dfrac{3}{10}\\\end{array}\right.\\\\\\\boxed{I=e^x(\dfrac{1}{10}*cos(3x)+\dfrac{3}{10}*sin(3x))}\\

8 0
2 years ago
The measure of the arc BC is __.
andre [41]

The measure of AD = 120 degrees

The measure of arc BC is 40 degrees. If you want the length, it's (2pi/9)(radius)

4 0
4 years ago
Read 2 more answers
The radius of a cylindrical vessel is 7 cm and height is 1400 m . Find the cost of painting its inner curved surface area at the
Olegator [25]

Answer:

Cost = 616000 DHS per square centimetre.

Step-by-step explanation:

curved surface of a cylinder = 2\pirh

r = 7 cm

h = 1400 m = 140000 cm

The outer curved surface area of the cylinder = inner curved surface area of the cylinder

The inner curved surface of the cylinder = 2\pirh

                                      = 2 x \frac{22}{7} x 7 x 140000

                                      = 2 x 22 x 1 x 140000

                                      = 6160000

The inner curved surface of the cylinder is 6160000 square centimetre.

But, the cost of painting is at the rate of 10 DHS per square centimetre.

The inner curved surface of the cylinder = 6.16 x 10^{6} square centimetre.

cost of painting the inner curved surface area = \frac{6.16*10^{6} }{10}

                                                                       = 616000 DHS per square centimetre

The cost of painting the inner surface is 616000 DHS per square centimetre.

6 0
3 years ago
Divide (-3x^2 - 9x) ÷ (x + 3) <br> please explain/show work! &lt;33
Stolb23 [73]

Step-by-step explanation:

<em>( - 3 {x}^{2} - 9x) \div (x + 3)</em>

<em>This </em><em>is </em><em>the</em><em> </em><em>original </em><em>equation</em><em> </em><em>so</em><em> </em><em>you </em><em>will</em><em> </em><em>open</em><em> </em><em>the</em><em> </em><em>brackets</em><em>.</em>

<em>- 3 {x}^{2}  - 9x \div x + 3</em>

<em>The</em><em> </em><em>x</em><em> </em><em>will</em><em> </em><em>cross</em><em> </em><em>the</em><em> </em><em>division </em><em>sign</em><em> </em><em>making</em><em> </em><em>it</em><em> </em><em>times</em><em> </em><em>x</em><em>.</em>

<em>3 {x}^{2}  - 9x \times x = 3</em>

<em>So</em><em> </em><em>you </em><em>will</em><em> </em><em>proceed</em><em> </em><em>to</em><em> </em><em>multiply</em><em> </em><em>the</em><em> </em><em>9</em><em>x</em><em> </em><em>by</em><em> </em><em>x</em><em> </em><em>making </em><em>it</em><em>;</em>

<em>3 {x}^{2}  - 9 {x}^{2} = 3</em>

<em>So</em><em> </em><em>you</em><em> </em><em>will</em><em> </em><em>subtract</em><em> </em><em>9</em><em>x</em><em>²</em><em> </em><em>from</em><em> </em><em>3</em><em>x</em><em>²</em><em> </em><em>which</em><em> </em><em>won't </em><em>be</em><em> </em><em>possible </em><em>so</em><em> </em><em>it </em><em>will</em><em> </em><em>be</em><em> </em><em>negative</em><em>.</em>

<em>- 6 {x}^{2} = 3</em>

<em>Then</em><em> </em><em>you </em><em>will</em><em> </em><em>square</em><em> </em><em>root</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>making</em><em> </em><em>it</em><em>;</em>

<em>- \sqrt{6 {x}^{2} } =  \sqrt{3}</em>

<em>So</em><em> </em><em>the</em><em> </em><em>²</em><em> </em><em>will</em><em> </em><em>cancel</em><em> </em><em>the</em><em> </em><em>√</em><em> </em><em>leaving </em>

<em>-6x</em><em>=</em><em>√</em><em>3</em>

<em>-6x</em><em>=</em><em>1</em><em>.</em><em>7</em><em>3</em><em>(</em><em>Divide</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>-</em><em>6</em><em>)</em>

<em>x</em><em>=</em><em>0</em><em>.</em><em>2</em><em>8</em><em>8</em>

<em>That</em><em>'s</em><em> </em><em>the</em><em> </em><em>final </em><em>answer</em><em>.</em>

8 0
3 years ago
Nine fewer than half a number n is five more than four times a number write the equation
charle [14.2K]
X could be a variable to represent "the number" 

x - 9 = 4x + 5

hope this somewhat helps, not sure if its correct!
8 0
3 years ago
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