Step-by-step explanation:
(x + y)^5 = 1·x^5·y^0 + 5·x^4·y^1 + 10·x^3·y^2 + 10·x^2·y^3 + 5·x^1·y^4 + 1·x^0·y^5
Correct is only A
Answer:

Step-by-step explanation:



Answer:
a.

b.


Step-by-step explanation:
Remember that for any curve
The tangent vector is given by

And the normal vector is given by

a.
For this case, using the chain rule

And also remember that

Therefore

Similarly, using the quotient rule and the chain rule

And also

Therefore

Notice that
1. 
2. 
b.
Simlarly

and

Therefore

Then

and also

And since

The correct answer is: [C]: " (0, 24) " .
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Explanation:
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Given the quadratic function:
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→ " y = (x <span>− 8) (x + 3) " ; </span>← Note: Replace the "f(x)" with: "y" ;
→ Find the "y-intercept".
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→ Note: The "y-intercept" is the coordinate of the point(s) of the graph of the equation at which the graph crosses the "x-axis" when "x = 0" .
→ So; we set plug in "0" for "x" into our equation; and solve for "y" ;
→ " y = (x − 8) (x + 3) " ;
→ y = (0 − 8) (0 + 3) ;
→ y = (-8) * (3) ;
→ y = - 24 ;
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So, the "y -intercept" of the <em><u>given</u></em> quadratic function is:
the point at which: "x = 0 ; y = -24 " ;
→ that is; the point the coordinates: " (0, - 24) " ;
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→ which is: Answer choice: [C]: " (0, - 24) " .
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Answer:
is closest to the total surface area of the box
Step-by-step explanation:
we know that
The surface area of the box is equal to

where
B is the area of the base
P is the perimeter of the base
H is the height of the box
we have



<em>Find the area of the base B</em>


<em>Find the perimeter of the base P</em>



<em>Find the surface area</em>


