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olga55 [171]
3 years ago
10

Let C be the circle in the xy plane centered at (5,0) with radius 2, and let S be the resulting surface in R3 when you rotate C

around the y axis. a. Draw a picture of S. b. Find an equation for the tangent plane to S at the point (3 2, 3, 3 2). c. Find the surface area of S.

Mathematics
1 answer:
guajiro [1.7K]3 years ago
7 0

Answer:

Please see attachment

Step-by-step explanation:

Please see attachment

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Answer:

y = -\frac{1}{3}x-2

Step-by-step explanation:

From the table it is clear that the line is passing through the points (0,\: -2)= (x_1, \:y_1) \: \&\: (-6, \:0)=(x_2,\:y_2)

(There are many other points in the table and any two of them can chosen as per our convenience)

Equation of line in two point form is given as:

\frac{y-y_1}{y_1 - y_2} = \frac {x-x_1}{x_1 - x_2} \\\\\therefore \frac{y-(-2)}{-2 - 0} = \frac {x-0}{0 - (-6)} \\\\\therefore \frac{y+2}{-2} = \frac {x}{0+6)} \\\\\therefore \frac{y+2}{-2} = \frac {x}{6)} \\\\\therefore 6(y + 2) = - 2(x)\\\therefore 6y + 12 = - 2x \\\therefore 6y = - 2x - 12\\\\\therefore y = -\frac{2}{6}x-\frac{12}{6}\\\\\huge \red {\boxed {y = -\frac{1}{3}x-2}} \\\\

3 0
4 years ago
Write the quadratic function in vertex form: f(x) = 4x2 + 2x -5
Andrei [34K]
Please use " ^ " to denote exponentiation:  <span>f(x) = 4x^2 + 2x -5.  To find the vertex form of this equation, complete the square:

f(x) = 4x^2 + 2x                                           - 5
      = 4(x^2 + (2/4)x)                                         - 5
      =  4(x^2 + (1/2)x )                                  -5
      = 4(x^2 + (1/2)x + 1/16  ) - 4/16 - 5
      = 4(x+1/4) - 21/4    <= in vertex form

Here h= -1/4 and k = -21/4.  The vertex is at (-1/4, -21/4)</span>
3 0
3 years ago
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Does this expression represent the sum 13.76 + 2.8?<br><br> 15.84
HACTEHA [7]

Answer: false

Step-by-step explanation:

false

8 0
3 years ago
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The lengths of the sides of a triangle are 3, 4, 5. Can the triangle be a right triangle?
raketka [301]

Answer:

yes

Step-by-step explanation:

6 0
2 years ago
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Do not change the order of the numbers. You may put two numbers together to form a two-degit number.
LenKa [72]
1 + 2 + 3 + 4 + 5 + 67 + 8 = 90

I think this is what you mean right?
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