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natta225 [31]
3 years ago
11

Which number is greater: 1/4 or 5/4 ?

Mathematics
2 answers:
grin007 [14]3 years ago
7 0

Answer:

5/4

Step-by-step explanation:

Hello there!

Since each number is given in terms of 4ths, we can look at which has more 1/4 that comprises it.

5>1, so 5/4 is greater.

:)

tatiyna3 years ago
3 0

Answer:

1/4 < 5/4

Step-by-step explanation:

Since the numbers have the same denominator, we compare the numerators

1<5

so 1/4 < 5/4

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Find the directional derivative of f at the given point in the direction indicated by the angle θ.
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Answer:

Directional derivative = 1/√2

Step-by-step explanation:

We are given f(x, y) = y cos(xy)

Now, we know that;

∇f(x, y) = ycos xy

Thus, applying that to the question, we have;

∇f(x, y) = [-y² sin xy, cos (xy) - xy sin xy]

At coordinates (0,1),we now have;

∇f(0, 1) = [-1²•sin0, (cos 0) - 0]

∇f(0, 1) = [0, 1]

Now, unit vector indicated by the angle θ is given as; u = [cos θ, sin θ]

From the question, since θ = π/4, thus

u = [cos π/4, sin π/4]

Cos π/4 in surd form is; 1/√2

Also, sin π/4 in surd form is; 1/√2

So, u = [1/√2, 1/√2]

Directional derivative = [∇f(0, 1)] • u

= [0, 1] × [1/√2, 1/√2] = 0 + 1/√2 = 1/√2

4 0
3 years ago
At the beginning of the week, Naveen has 87 trading cards. On Monday, he gets 9 more. On Tuesday, he gives 16 away. On Wednesday
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vekshin1

Answer:

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Step-by-step explanation:

To solve this question the rule of multiplicity of a polynomial is to be followed.

If the multiplicity of a polynomial is even at a point, graph of the polynomial will touch the x-axis.

If the multiplicity of the polynomial is odd, graph will cross the x-axis at that point.

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