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3 years ago

10

Help on both of these problems please!

1 answer:

kompoz [17]3 years ago

7 0

A. 25% B. 36% C. 150% for the first one

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Find an equation for the tangent to the curve at P and the horizontal tangent to the curve at Q. y = 5 + cot x - 2 csc x 0 1 2 3

oksian1 [2.3K]

Answer with explanation:

The given function in x and y is,

y= 5 +cot x-2 Cosec x

To find the equation of tangent, we will differentiate the function with respect to x

$y'= -\csc^2 x+2 \csc x\times \cot x$

Slope of tangent at (π/2,3)

$y'_{(\frac{\pi}{2},3)}= -\csc^2\frac{\pi}{2} +2 \csc \frac{\pi}{2}\times \cot \frac{\pi}{2}\\\\=-1+2\times 1 \times 0\\\\= -1$

Equation of tangent passing through (π/2,3) can be obtained by

$\rightarrow \frac{y-y_{1}}{x-x_{1}}=m(\text{Slope})\\\\ \rightarrow \frac{y-3}{x-\frac{\pi}{2}}=-1\\\\\rightarrow 3-y=x-\frac{\pi}{2}\\\\\rightarrow x+y-3-\frac{\pi}{2}=0$

⇒There will be no Horizontal tangent from the point (π/2,3).

5 0

4 years ago

Point-slope equation of the line through (6,4) and (7,2)

Nataly [62]

Answer:

<h2>y - 4 = -2(x - 6) or y - 2 = -2(x - 7)</h2>

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (6, 4) and (7, 2). Substitute:

$m=\dfrac{2-4}{7-6}=\dfrac{-2}{1}=-2$

Using the first point

$y-4=-2(x-6)$

Using the second point

$y-2=-2(x-7)$

7 0

4 years ago

A clock shows a time of 3:20.what type of angle is this

fredd [130]

Hour hand: $\frac{35\pi}{18}$

Minute hand: $\frac{11\pi}{6}*\frac{3}{3}=\frac{33\pi}{18}$

$\frac{35\pi}{18}-\frac{33\pi}{18}\\\frac{2\pi}{18}\\\frac{\pi}{9}$

Acute angle

Right angle $=\frac{\pi}{2}$
Obtuse angle $>\frac{\pi}{2}$
Straight angle $=\pi$

$0$

Acute angle.

3 0

4 years ago

By how much is 8 less than 14

Travka [436]

6 Is the andwer....... hope it helps

3 0

3 years ago

Read 2 more answers

Owen’s parents were planning a birthday party for him. They have $20.00 to spend on goodie bags. They need to buy 6 goodie bags

Dimas [21]

Answer:

Yes, they can buy all the bags.

Step-by-step explanation:

Owen's parents need to buy 6 bags for $2.49 each.

So, we need to calculate the total price:

$2.49 * 6 = $14.94

Since the bags cost $14.94, and Owen's parents have $20.00, they have enough money to buy all 6 bags. 14.94 < 20.00

Hope this helps!

5 0

3 years ago

Read 2 more answers