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{x}^(2) + √(x) + \sqrt[5]{x}
what is f'(3) of this equation?​

Answers

Answer 1
Answer:

Answer:

3 + (1)/(2√(3) ) + \frac{1}{5\sqrt[5]{81} }

Step-by-step explanation:

Just to make it easier to see, √(x) = x^{(1)/(2) } and \sqrt[5]{x} = x^{(1)/(5) }  This way we could more easily use the power rule of derivatives.

So if f(x) = x^(2) +x^{(1)/(2) } +x^{(1)/(5) } then f'(x) will be as follows.

f'(x) = x^(1) +(1)/(2) x^{-(1)/(2) } +(1)/(5) x^{-(4)/(5) } = x +\frac{1}{2x^{(1)/(2) }} +\frac{1}{ 5x^{(4)/(5) }} = x +(1)/(2√(x)) +\frac{1}{ 5\sqrt[5]{x^4} }

to find f'(3) just plug 3 into f'(x) so 3 + (1)/(2√(3) ) + \frac{1}{5\sqrt[5]{81} }

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Let a1equals[Start 3 By 1 Matrix 1st Row 1st Column 1 2nd Row 1st Column 2 3rd Row 1st Column negative 1 EndMatrix ]​, a2equals[Start 3 By 1 Matrix 1st Row 1st Column negative 7 2nd Row 1st Column negative 7 3rd Row 1st Column 2 EndMatrix ]​, and bequals[Start 3 By 1 Matrix 1st Row 1st Column 3 2nd Row 1st Column negative 22 3rd Row 1st Column h EndMatrix ]. For what​ value(s) of h is b in the plane spanned by a1 and a2​?

Answers

Answer:

For h= 25,  b in the plane spanned by a1 and a2​

Step-by-step explanation:

a1= \left[\begin{array}{c}1\n2\n-1\end{array}\right] \na2 = \left[\begin{array}{c}-7\n-7\n2\end{array}\right] \n\nb   = \left[\begin{array}{c}3\n-22\nh\end{array}\right]

we have to find value of h for which  b in the plane spanned by a1 and a2.

For this the linear systems given by the  following augmented matrix must be consistent.

\left[\begin{array}{cc|c}1&-7&3\n2&-7&-22\n-1&2&h\end{array}\right]

Reduce the augmented matrix into row echelon form:

R_(2) - 2R_(1) , R_(3) + R_(1)\n\n\left[\begin{array}{cc|c}1&-7&3\n0&7&-28\n-0&-5&h+3\end{array}\right]\n\n7R_(3)+5R_(2)\n\n\left[\begin{array}{cc|c}1&-7&3\n0&7&-28\n-0&0&7h-175\end{array}\right]

For system to be consistent:

                         7h-175 =0\n7h=175\nh=25

Find the slope of the line that that passes through each pair of points (-7,5) (1,1)

Answers

Answer:-(1)/(2)

Step-by-step explanation:The line is diagonal to the left(\) , so the slope is negative.

(rise)/(run)

Rise one(up), Run two(left)

So the CORRECT answer is -(1)/(2)

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Answers

Answer:

240

Step-by-step explanation:

20 x 12 = 240
Kenny bought 240 baseball cards.

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Answers

Answer:

the first line

Step-by-step explanation:

because the second line should be -3x=30

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Answers

Answer:

x = 60°

Step-by-step explanation:

All the angles in a triangle add up to 180°. So, you have this equation.

87° + 33° + x = 180°

120° + x = 180°

x = 60°

The measure of angle x is 60°.

Hope that helps.

What is the value of the expression when a = 6, b = 4, and c = 8? 2a/3b−cA: 1

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D: 12

Answers

Answer:

3

Step-by-step explanation:

(2a)/(3b-c) \n=(2(6))/(3(4) - 8) \n=(12)/(12-8) \n=(12)/(4) \n=3

I hope I was of assistance! #SpreadTheLove <3
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