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4 years ago

Find the linearization L(x) of the function at a. f(x) = x3/4, a = 81

1 answer:

6 0

Please note that your x^3/4 is ambiguous. Did you mean (x^3) divided by 4
or did you mean x to the power (3/4)? I will assume you meant the first, not the second. Please use the "^" symbol to denote exponentiation.

If we have a function f(x) and its derivative f'(x), and a particular x value (c) at which to begin, then the linearization of the function f(x) is

f(x) approx. equal to [f '(c)]x + f(c)].

Here a = c = 81.

Thus, the linearization of the given function at a = c = 81 is

f(x) (approx. equal to) 3(81^2)/4 + [81^3]/4

Note that f '(c) is the slope of the line and is equal to (3/4)(81^2), and f(c) is the function value at x=c, or (81^3)/4.

What is the linearization of f(x) = (x^3)/4, if c = a = 81?

It will be f(x) (approx. equal to)

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3 years ago

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An English professor determined the mean of her final exam scores to be 78 with a standard deviation of 6.3. Find the minimum an

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Solution: We are given:

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3 years ago

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Tickets for the homecoming dance cost $20 for a single ticket or $35 for a couple. Ticket sales totaled $3280, and 128 people at

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Answer:

16 singles, 56 couples

Step-by-step explanation:

There's two linear equations that we can make: one for money and one for people. Let the number of single tickets be s and the number of couple tickets be c .

We know that the amount of money we make is $ = 20 s + 35 c = 2280

We also how many people can come P = 1 s + 2 c = 128

We know that both s are the same and both c are the same. We have two unknowns and two equations, so we can do some algebra to solve for each.

Take the first minus twenty times the second: 20 s + 35 c =2280

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3 years ago

Kitchen goods are on sale for 30% off their regular price. In addition,all goods are subject to 6% tax and a $6 shipping charge.

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Blender total cost (c) = 1.06(0.7c)+6. Here, with c = $65,

Blender total cost ($65) = 1.06(0.7)($65) + 6 = $48.23

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3 years ago

Fantasy n fun sells gaming cards for 9.99 but they pay only 6.75 per card. What is the original percent markup

lozanna [386]

Answer:

48%

Step-by-step explanation:

Data provided in the question:

Selling price of the gaming card = 9.99

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The markup percentage is calculated as:

Markup = $\frac{\textup{Selling cost - Purchasing cost}}{\textup{Purchasing cost}}\times100\%$

Markup = $\frac{\textup{9.99 - 6.75}}{\textup{6.75}}\times100\%$

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