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1 answer:
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Answer:
It will be equal to 40
Step-by-step explanation:
We have to compute
Let first find 3 !
For this we have to use factorial concept
So 3! will be equal to 3! = 3×2×1 = 6
Now According to 6+2 = 8
And now after solving bracket we have to multiply with 5
So 5×8 = 40
So after computation
So the final answer will be 40
Answer:
Step-by-step explanation:
So you have (16, 1)
When two linear functions are parallel, they have the same slope.
So function q also has a slope of 1/3x. You have a set of points so you can plug them in a slope intercept equation to find b.
y= mx+b
m= slope
y= y-intercept
1= 1/3(16) +b
1 - (16/3) = b
b= -13/3
so then,
Answer:
The parabola has a horizontal tangent line at the point (2,4)
The parabola has a vertical tangent line at the point (1,5)
Step-by-step explanation:
Ir order to perform the implicit differentiation, you have to differentiate with respect to x. Then, you have to use the conditions for horizontal and vertical tangent lines.
-To obtain horizontal tangent lines, the condition is:
(The slope is zero)
--To obtain vertical tangent lines, the condition is:
(The slope is undefined, therefore the denominator is set to zero)
Derivating respect to x:
=
Solving for dy/dx:
Applying the first conditon (slope is zero)
Solving for y (Adding 2x+4, dividing by 2)
y=x+2 (I)
Replacing (I) in the given equation:
Replacing it in (I)
y=(2)+2
y=4
Therefore, the parabola has a horizontal tangent line at the point (2,4)
Applying the second condition (slope is undefined where denominator is zero)
2y-2x-8=0
Adding 2x+8 both sides and dividing by 2:
y=x+4(II)
Replacing (II) in the given equation:
Replacing it in (II)
y=1+4
y=5
The parabola has vertical tangent lines at the point (1,5)
Answer:
42
Step-by-step explanation:
|--------------1764------------|
| |
2 |-------882-----------|
| |
2 |--------441------|
| |
|------9-----| |----49---|
| | | |
3 3 7 7
From the factor tree we see that
Now we need to find the square root of 1764.