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FrozenT [24]
3 years ago
13

Δx→0 −5(x + Δx) + 5x Δx

Mathematics
1 answer:
marysya [2.9K]3 years ago
7 0
I guess the original function was

y = 5x (1)

y+Δy =5(x+Δx) (2)

(2) - (1) =

Δy = 5Δx

Δx →0, Δy/Δx →5


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Find two positive numbers whose product is 36 and whose sum is a minimum.
alukav5142 [94]
Let one of the numbers be x. The other number cab then be represented as 36-x (x+36-x = 36).
The product can then be represented as y = x(36-x) or y=36x-x2

The maximum or minimum is always on the axis of symmetry which has the formula x=-b/2a.
In our case, the axis of symmetry is -36/-2, so x=18.

If one number is 18 and the 2 numbers add to 36, the other number is 18 as well.
So the 2 numbers are 18 and 18 and the maximum product is 324,
8 0
3 years ago
Given a right triangle with a hypotenuse of 15 feet and a height of 6 feet, find the measurement of angle
Artist 52 [7]

Answer:

66.42° between height and hypotenuse

23.58° between base and hypotenuse

Step-by-step explanation:

Using the concept of cosine and sine, we know that cosine of an angle is equal to the adjacent divided by hypotenuse.

Similarly, sine of an angle is given by opposite divided by hypotenuse

Tangent is given by opposite divided by adjacent

In rhis case, we use cosine

\theta=cos^{-1}(\frac {6}{15})=66.4218215217982\\\theta\approx 66.42^{\circ}

Therefore, the angle between the hypotenuse and height is 66.42°

To find the angle between base and hypotenuse, since it is a right angle triangle then the other angle will be 90-66.42=23.58°

8 0
3 years ago
Multiply. Do not round your answer.<br><br> 6.9 × 1.221 = <br><br><br> Thanks :D
Ann [662]

Answer:

8.4249 ur answer....

hope it helps

6 0
3 years ago
What is the square root of 200
wariber [46]
Hi,

\sqrt{200}  = 14.14

Hope this helps.
r3t40
3 0
3 years ago
Is this right? I’ll mark brainliest if you’re correct
ira [324]

Answer:

No its independent

Step-by-step explanation:

because you'll have to divide and stuff

7 0
3 years ago
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