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ANEK [815]
3 years ago
14

Use implicit differentiation to find an equation of the tangent line to the curve at the given point. y sin(16x) = x cos(2y), (Ï

/2, Ï/4)
Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
5 0
The answer you are seeking is c hope i helped have a nice day<span />
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I need this done thanks
aleksandr82 [10.1K]

Answer: Choice B

(-1,0), (-1,-2), (-3, -1), and (-3, -2)

============================================================

Explanation:

Let's focus on the point (2,0)

If we shift it 3 units to the left, then we subtract 3 from the x coordinate to get 2-3 = -1 as its new x coordinate. The y coordinate stays the same.

That means we move from (2,0) to (-1,0)

Based on this alone, choice B must be the answer as it's the only answer choice that mentions (-1,0).

If you shifted the other given points, you should find that they land on other coordinates mentioned in choice B.

8 0
2 years ago
Find an equation of the line passing through the pair of points. Write the equation in the form Ax +By = C.
Alexxandr [17]

9514 1404 393

Answer:

  5x -y = -37

Step-by-step explanation:

One way to find the coefficients A and B is to use the differences of the x- and y-coordinates:

  A = Δy = y2 -y1 = 2 -(-3) = 5

  B = -Δx = -(x2 -x1) = -(-7 -(-8)) = -1

Then the constant C can be found using either point.

  5x -y = 5(-7) -2 = -37

The equation of the line is ...

  5x -y = -37

_____

<em>Additional comment</em>

This approach comes from the fact that the slope of a line is the same everywhere.

  \dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{\Delta y}{\Delta x}\\\\\Delta x(y-y_1)=\Delta y(x-x_1)\qquad\text{cross multiply}\\\\\Delta y(x-x_1)-\Delta x(y-y_1)=0\qquad\text{subtract y term}\\\\\Delta y(x) -\Delta x(y) = \Delta y(x_1)-\Delta x(y_1)\qquad\text{Ax+By=C form}

The "standard form" requires that A be positive, so we chose point 1 and point 2 to make sure that was the case.

5 0
2 years ago
You have 192 grams of a radioactive kind of iodine. How much will be left
m_a_m_a [10]

Answer:

192/2= 96 g after 7h

96/2=48 g after 14h

48/2= 24 g after 21h

<h2>24/2= 12 g after 28h </h2>
8 0
3 years ago
Find the lowest common denominator.<br> 1/3 and 5/7<br> The lowest common denominator is
vagabundo [1.1K]
The lowest common denominator is 21
7 0
3 years ago
Can someone answer the blanks for points? THANKS I’m failing !
charle [14.2K]

Answer:

a. $3,333.33

b. $223,333.31

Step-by-step explanation:

a. $50,000 value increase and difference of 15 years 50,000/15 = 3,333.333333= 3333.33

b. difference 2006 and 1999 is 7 years, growth by year is $3333.33 so 3333.33 * 7 = 23,333.31 is difference in growth in those 7 years plus the original value of 1999 is $223,333.31

8 0
3 years ago
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