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puteri [66]
3 years ago
11

1) Find an equation of the tangent line at each given point on the curve.x = t2 − 4, y = t2 − 2tat (0, 0)at (−3, −1)at (−3, 3)2)

Find the arc length of the curve on the given interval. (Round your answer to three decimal places.)Parametric Equations Intervalx= sqrt1a.gif t y=5t-4 0 ≤ t ≤ 13) Find dy/dx and the slopes of the tangent lines shown on the graph of the polar equation. (If an answer does not exist, enter DNE.)r = 2(1 − sin(θ))

Mathematics
1 answer:
Anastasy [175]3 years ago
8 0

Answer:

1) at ( 0,0) : y = x/2.   at(-3-1) : y = -1.   at(-3,3) : y = 2x +9

2) DNE ( does not exist )

Step-by-step explanation:

The general equation of tangent line

y - y1 = m( x - x1 )

attached below is the detailed solution on how i derived the answers above

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(6x + 4)<br> verbal description
My name is Ann [436]
The answer will be six x plus four
6 0
3 years ago
8. Mrs. Reyes has 4 mangoes, 5 guavas, and 2 bananas in her basket. What is the probability that one can pick a guava?
gregori [183]

8) 5 + 4 + 2 = 11

Since there are 5 guavas, the correct answer is B. 5/11

9) 3 + 4 = 7

Since there are 4 blue papers, the correct answer is A. 4/7

10) Count all of the numbers and add them. There are 4 twos, 2 fives, and 1 three:

4 + 2 + 1 = 7

Since there are 4 twos, the correct answer is C. 4/7

5 0
2 years ago
Find a irrational number between 5.2 and 5.3 .. Explain why its irrational. Include the decimal approximation of thr nearest hun
mihalych1998 [28]

\sqrt{28}
It is in between
\sqrt{25}
And
\sqrt{36}
There for it is in between 5 and 6
Additionally, it is closer to root 25, meaning that it is closer to 5

Rounded to the nearest hundredth is

5.29
4 0
3 years ago
1. Which of the following is not an equation?
OlgaM077 [116]

Answer:

2. is not an equation

Step-by-step explanation:

An equation always has an equal sign. An expression doesn't

5 0
2 years ago
If m 24 is 53°, what is the m26?
hodyreva [135]

Answer:

m∠8 = 49°

Step-by-step explanation:

∠7 and ∠8 are same-side interior angles.

Remember, same-side interior angles are supplementary. This means that the sum of the angles is 180°.

Let's use the variable 'x' to represent the unknown measure of angle ∠8.

131 +x=180

131-131=0 (cancels itself out)

180-131=49

x=49

Therefore, the measure of ∠8 is 49°.

4 0
2 years ago
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