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Leni [432]
3 years ago
13

If y= -3x7+2x3+ x, the derivative of y with respect to x is

Mathematics
1 answer:
larisa [96]3 years ago
8 0

Answer:

\frac{dy}{dx} = - 21x^{6} + 6x² + 1

Step-by-step explanation:

Differentiate each term using the power rule

\frac{d}{dx} (ax^{n} ) = nax^{n-1}

Given

y = - 3x^{7} + 2x³ + x , then

\frac{dy}{dx} = (7 × - 3 )x^{6} + (3 × 2)x² + (1 × 1 )x^{0}

    = - 21x^{6} + 6x² + 1

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allochka39001 [22]

Answer:

<em>Part A: </em>

<em>c = 1.15p</em>

<em>c(2) = $2.30</em>

<em>Part B: </em>

<em>c = 0.90p</em>

Part B:

Step-by-step explanation:

<u>Linear Models</u>

Candy's Sweets Company charges $1.15 per pound to ship candy.  This represents a proportional relationship between the pounds of candy and the cost.

Part A: If each pound costs $1.15, then p pounds cost $1.15p. Then the equation of the cost c is:

c = 1.15p

The cost of shipping p=2 pounds of candy is:

c = 1.15*2 = 2.30

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Part B: When the company reduces the cost by $0.25 per pound, the new unit cost is $1.15 - $0.25 = $0.90 per pound.

The new equation to determine the total cost for p pounds of candy is:

c = 0.90p

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3 years ago
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Answer:

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