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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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Three-fifths of the sum of 9 and f
blsea [12.9K]

Answer:  \frac{3}{5} f+\frac{27}{5}

Step-by-step explanation:

Three-fifths of the sum of 9 and f is \frac{3}{5} (9+f)=\frac{27}{5} +\frac{3}{5} f=\frac{3}{5} f+\frac{27}{5}

7 0
3 years ago
Which of the following is the balance for a single $3,200 deposit in an account with an APR of 2.6% that compounds interest quar
Flauer [41]

Answer:

FV= 3200(1+\frac{0.026}{3})^{3(6)}=3200 (1.008667)^{54}= 50994.590

Step-by-step explanation:

For this case we can use the formula for the future value with compound interest given by:

FV= P (1+\frac{r}{n})^{nt}   (1)

For this case since the interest is compounded quarterly we have 3 periods each year, since we have 3 quarters in a year.

r represent the rate =0.026

t = 6 represent the number of years

P = 3200 represent the amount invested at the begin

If we apply the formula (1) we got:

FV= 3200(1+\frac{0.026}{3})^{3(6)}=3200 (1.008667)^{54}= 50994.590

So then the balance after 6 years would be approximately 50995 with the conditions provided.

7 0
3 years ago
HELP PLEASE ASAPPPP!!
MakcuM [25]

Answer:

12

Step-by-step explanation:

(10/y + 13) -3

Let y=5

(10/5 + 13) -3

PEMDAS says parentheses first

(2 +13) -3

15 -3

12

6 0
3 years ago
Which of the following is the equation of a line perpendicular to the line Y=-1/3x+1, passing through the point (2,7)?
zimovet [89]
Y= 3X + 1. Perpendicular means you would change the slope by flipping it and changing the sign. So the slope then becomes 3. Then you use your points to find the y-intercept by filling in the variables. 7=3(2) + B. 7=6 + B. Then subtract 6 from both sides. B=1. Then you just put your problem back into slope intercept form with your new slope and y-intercept. Y=3x + 1. 
5 0
3 years ago
Can someone help me solve this problem?
ANTONII [103]
 If О is the center of a circle then:
<span>
OA = OB = OC = OD [radii]

AB = AH + HB = 15 + 15 = 30  </span>⇒  AB = CD
<span>
So </span>ΔAOB ≅ ΔCOD  [SSS rule] ⇒ x = OH = 16 units.

4 0
3 years ago
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