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puteri [66]
4 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]4 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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An object is thrown upward from the top of 96​-foot building with an initial velocity of 80 feet per second. The height h of the
stiks02 [169]

The function of the object height is an illustration of a projectile motion

The object will never hit the ground

<h3>How to determine when the object hits the ground?</h3>

The function is given as:

h=16t^2+80t+96.

When the object hits the ground, h = 0

So, we have:

16t^2+80t+96 = 0

Divide through by 16

t^2+5t+6 = 0

Expand

t^2 + 3t + 2t + 6 = 0

Factorize

t(t + 3) + 2(t + 3) = 0

Factor out t + 3

(t + 2)(t + 3) = 0

Solve for t

t = -2 or t = -3

The time (t) cannot be negative.

Hence, the object will never hit the ground

Read more about projectile motion at:

brainly.com/question/1130127

5 0
3 years ago
NO LINKSSSSSSSSSSSS please help
son4ous [18]

Answer:

I know this aint no clever bro cmon that stuff is easy

Step-by-step explanation:

8 0
3 years ago
Find the value of x.
arsen [322]

Answer:

x = 4

Step-by-step explanation:

used a calculator i hope this helps <3

7 0
3 years ago
A square pyramid with a base of 8 inches by 8 inches and a height of 6 inches.
mart [117]

Answer:

A) The area of the base of the pyramid, B, is 64 in.2

C) A square prism with dimensions 8 inches by 8 inches by 6 inches will have a volume three times as large as this pyramid.

<em><u>Hope this helps!</u></em>

<em><u>Please mark brainliest!</u></em>

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7 0
3 years ago
Read 2 more answers
You are asked to choose a vowel (a, e, i, o, u) from a list, and then to choose either the number 6 or 7. How many possible outc
faltersainse [42]

Answer:

10 possible outcomes

S = {a6, a7, e6, e7, i6, i7, o6, o7, u6, u7}

Step-by-step explanation:

As there are 5 vowels and 2 numbers that have to be chosen, the total outcomes are

= 5x2 = 10

Each vowel can be chosen with 6 or with 7

Let S be the sample space

a vowel will be chosen first then there is possibility that either the number chosen with it is either 6 or 7 so each vowel will have two possible outcomes with the number

S = {a6, a7, e6, e7, i6, i7, o6, o7, u6, u7} ..

4 0
3 years ago
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