Ordered pair for 6x-4y=16

F(x)= x^2 + 10f(x)=x 2 +10 Over which interval does fff have a positive average rate of change?

Mazyrski [523]

Answer:

I really dont know

Step-by-step explanation:

3 0

3 years ago

Show all of your work, even though the question may not explicitly remind you to do so. Clearly label any functions, graphs, tab

natta225 [31]

Answer:

(a) at t=2, the particle is moving toward the origin

(b) a(t) = 70(8 -9t^2)/(3t^2 +8)^3; a(2) = -0.245

(c) the particle approaches x = 1/3 as t gets large

Step-by-step explanation:

(a) The function x(t) is negative for -3 < t < 3, so at t = 2, the particle is to the left of the origin.

The velocity of the particle is given by the derivative of the position function:

$x'(t)=\dfrac{(3t^2+8)(2t)-(t^2-9)(6t)}{(3t^2+8)^2}=\dfrac{70t}{(3t^2+8)^2}$

Then, at t=2, the expression is positive, indicating the particle is moving toward the origin.

__

(b) The acceleration is the derivative of the velocity, so is ...

$a(t)=\dfrac{70(3t^2+8)^2-(70t)(12t)(3t^2+8)}{(3t^2+8)^4}=\dfrac{70(3t^2+8-12t^2)}{(3t^2+8)^3}\\\\\boxed{a(t)=\dfrac{70(8-9t^2)}{(3t^2+8)^3}}$

Then at t=2, the acceleration is ...

a(2) = 70(8 -9·4)/(3·4+8)^3 = 70(-28)/8000

a(2) = -0.245

__

(c) As t gets large, the value of x(t) approaches t^2/(3t^2) = 1/3.

7 0

4 years ago

A sphere has a radius of 5. What is its diameter?

mr_godi [17]

Answer:

D=10

Step-by-step explanation:

Diameter of a Sphere

D = 2 r

D=2(5)

D=10

5 0

3 years ago

Read 2 more answers

Please answer fast!!!

Alenkasestr [34]

Answer:

x = −2 ± 3i √ 2

Thats what i got. Let me know if its wrong :)

8 0

3 years ago

Coach kunal stacks all of the tennis balls in a square pyramid. The number of tennis balls, P(n), in n layers of the square pyra

Zolol [24]

Answer:

D. 9

Step-by-step explanation:

We are told in the question that: The number of tennis balls represented by P(n), in n layers of the square pyramid is given as

P(n) = P(n - 1) + n²

Let's take the first layer

n = 1

P(1) = P(1 - 1) + 1²

P(1) = 1 tennis ball.

It is important to note that the first layers we have one tennis ball.

Let's take the second layer

n = 2

P(2) = P(2 - 1) + 2²

P(2) = P(1) + 2²

Note that: P(1) above = 1

P(2) = 1 + 2²

P(2) = 5 tennis balls

It is important to note that the second layer we have five tennis balls

Let's take the third layer

n = 3

P(3) = P(3 - 1) + 3²

P(3) = P(2) + 3²

Note that: P(2) above = 5

P(3) = 5 + 3²

P(3) = 14 tennis balls

It is important to note that the second layer we have fourteen tennis balls

Let's take the fourth layer

n = 4

P(4) = P(4 - 1) + 4²

P(3) = P(4 - 1) + 4²

P(3) = P(3) + 4²

Note that: P(3) above = 14

P(3) = 14 + 4²

P(3) = 30 tennis balls

It is important to note that the fourth layer we have thirty tennis balls

Hence, the number of tennis balls from the first four layers will be: 1, 5, 14, 30,

So, the number of tennis balls that Coach Kunal could not have is 9.

8 0

3 years ago