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katrin [286]
3 years ago
14

The height of a conical sand pile is always twice the radius. if sand is being added to the pile at a rate of 30π cubic centimet

ers per minute, how fast is the height of the pile increasing when the circumference of the base of the sand pile is 120π centimeters?

Mathematics
1 answer:
saw5 [17]3 years ago
4 0
Check the attached file for the answer.

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antiseptic1488 [7]

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Step-by-step explanation:

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If the tangent line to y = f(x) at (7, 4) passes through the point (0, 3), find f(7) and f '(7).
jarptica [38.1K]
Hello : 
f'(7) = the slope of the tangent line : let  A(7,4)    B(0,3)<span>
<span>the slope is :   (YB - YA)/(XB -XA)= (3-4)/(0-7) = -1/-7 = 1/7=f'(7)
the equation of the tangent line is :
y-3 = 1/7 (x-0)
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3 years ago
4x - 7 (2 - x) = 3x + 2
juin [17]

Answer:

x=2

Step-by-step explanation:

4x−7(2−x)=3x+2

4x+(−7)(2)+(−7)(−x)=3x+2(Distribute)

4x+−14+7x=3x+2

(4x+7x)+(−14)=3x+2(Combine Like Terms)

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Step 2: Subtract 3x from both sides.

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Step 3: Add 14 to both sides.

8x−14+14=2+14

8x=16

Step 4: Divide both sides by 8.

x=2

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