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Andrews [41]
3 years ago
15

Y = sec θ tan θ differentiate

Mathematics
1 answer:
Leviafan [203]3 years ago
6 0
Y = sec t tan t = 1/ cos t * sin t / cos t = sin t / cos² t
y`= \frac{cos t cos ^{2} t-2 cost*(-sin t)*sint}{cos^{4} t}= \\  =\frac{cos ^{3} t+2costsin^{2}t }{cos ^{4}t }= \\ = \frac{cos ^{2} t+2sin ^{2} t}{cos ^{3} t}= \\ = \frac{1-sin ^{2}t+2sin ^{2} t }{cos ^{3}t }= \\ = \frac{1+sin ^{2} t}{cos ^{3}t }
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What is the equation of the line shown in the graph? (-3,1) (2,-4)
ki77a [65]

Answer:

x + y = -2

Step-by-step explanation:

The two primary equations to remember when dealing with graphing 2-variable equations are: ax + by = c (a & b are the x & y coefficients, respectively), and the other is y = mx + c (m = slope, x & y represent themselves). There is another equation to find the slope. If not already known, it's: ∆y/∆x {∆(aka Delta) = difference}. So, since that's all been established, we can proceed to calculate your question:

1) Find your slope: 1 - (-4) = 5 for your y-variable. And -3 - 2 = -5 for your x-variable. So your slope = 5/-5 = -1

2) Use the y = mx + c equation together with either set of (x,y) coordinates to get the equation 1 = (-1)(-3) + c. Which gives you c = -2

3) So, going back to the main equation to remember, the ax + by = c, use a one of your given sets of x,y coordinates and input your known values for x, y, & c to get: a(-3) + b(1) = (-2) and do the same with other set (these are just double-checks, coefficients are all equal to 1 anyways). So, you should arrive to the equation: x + y = -2

4 0
3 years ago
What is the Inverse operation needed to solve for p?<br> 765 = p - 254
KATRIN_1 [288]

Answer:

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Volgvan

Answer:

\frac{169}{289}

Step-by-step explanation:

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ratio of areas = a² : b²

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50 miles

Step-by-step explanation:

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