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3 years ago

If a function is one to one then the range becomes the what of the inverse function

1 answer:

4 0

One-to-One Functions. ... If no horizontal line intersects the graph of the function f in more than one point, then the function is 1 -to- 1 . A function f has an inverse f−1 (read f inverse) if and only if the function is 1 -to- 1 .

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Two sides of a triangle are 8 m and 9 m in length and the angle between them is increasing at a rate of 0.06 rad/s. Find the rat

Lelechka [254]

<h2>Rate at which area is increasing is 1.08 m²/s.</h2>

Step-by-step explanation:

Area of triangle is with side a and b and angle C between them is given by

A = 0.5 ab SinC

Here we need to find how area changes with a and b fixed and C is changing,

$\frac{dA}{dt}=\frac{d}{dt}\left (0.5 absinC\right )\\\\\frac{dA}{dt}=0.5ab\frac{d}{dt}\left (sinC\right )\\\\\frac{dA}{dt}=0.5abcosC\frac{dC}{dt}$

We have

a = 8 m

b = 9 m

$C=\frac{\pi}{3}rad\\\\\frac{dC}{dt}=0.06rad/s$

Substituting

$\frac{dA}{dt}=0.5\times 8\times 9\times cos\left ( \frac{\pi}{3}\right )\times 0.06\\\\\frac{dA}{dt}=1.08m^2/s$

Rate at which area is increasing is 1.08 m²/s.

4 0

3 years ago

(28 and 29) I really need help

scoundrel [369]

Answer:

28 is 11/60

29 is 7/30

Step-by-step explanation:

5 0

3 years ago

Find the GCF of the terms of the polynomial. 30x3 + 16x5<br> a. x3<br> b. 2x3<br> c. 2x5<br> d. 16x

Vladimir79 [104]

You can take out 2x^3 from both terms making it
2x^3 (15+8x^2)
Answer is B

3 0

3 years ago

Which algebraic expression represents the phrase "two times the quantity of a number minus 12"? A. 2y - 12 B. 2(y -12) C. 2(y +

bazaltina [42]

Answer:

Step-by-step explanation:

Two times the quantity of a number minus 12.

Represent the number with the variable y.

The quantity of a number minus 12 is then: (y-12).

Two times this quantity is 2(y-12).

So the answer is 2(y-12), which is B.

5 0

3 years ago

H e l p<br> will give brainiest

Thepotemich [5.8K]

Answer:

Step-by-step explanation:

3 × (4 + 5) - 6 = 21

4 × (3 + 2) - 8 = 12

7 0

3 years ago