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3 years ago

F(m)=m^4-6m^3+5m^2+10m-4 at m=4

Mathematics

1 answer:

Alexandra [31]3 years ago

6 0

Answer:

F(m) = -12

Step-by-step explanation:

Given the function:

$F(m)=m^{4}-6m^{3}+5m^{2}+10m-4$

When m = 4, we substitute the variable 'm' for the number 4:

$F(m)=4^{4}-6(4)^{3}+5(4)^{2}+10(4)-4$

F(m) = 256 - 384 + 80 + 40 - 4

F(m) = -12

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3 years ago

Read 2 more answers

what is the probability of drawing two blue cards if the first card is not included in the second draw? simplify your answer com

BlackZzzverrR [31]

Answer:

5/14

Step-by-step explanation:

The total number of cards is 8

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P(1st card is blue) = blue/total = 5/8

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3 years ago

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Alexxx [7]

Answer:

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Step-by-step explanation:

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3 years ago

Find the indicated limit, if it exists.

kondor19780726 [428]

Answer:

d) The limit does not exist

General Formulas and Concepts:

Calculus

Limits

Right-Side Limit: $\displaystyle \lim_{x \to c^+} f(x)$
Left-Side Limit: $\displaystyle \lim_{x \to c^-} f(x)$

Limit Rule [Variable Direct Substitution]: $\displaystyle \lim_{x \to c} x = c$

Limit Property [Addition/Subtraction]: $\displaystyle \lim_{x \to c} [f(x) \pm g(x)] = \lim_{x \to c} f(x) \pm \lim_{x \to c} g(x)$

Step-by-step explanation:

*Note:

In order for a limit to exist, the right-side and left-side limits must equal each other.

Step 1: Define

Identify

$\displaystyle f(x) = \left\{\begin{array}{ccc}5 - x,\ x < 5\\8,\ x = 5\\x + 3,\ x > 5\end{array}$

Step 2: Find Right-Side Limit

Substitute in function [Limit]: $\displaystyle \lim_{x \to 5^+} 5 - x$
Evaluate limit [Limit Rule - Variable Direct Substitution]: $\displaystyle \lim_{x \to 5^+} 5 - x = 5 - 5 = 0$

Step 3: Find Left-Side Limit

Substitute in function [Limit]: $\displaystyle \lim_{x \to 5^-} x + 3$
Evaluate limit [Limit Rule - Variable Direct Substitution]: $\displaystyle \lim_{x \to 5^+} x + 3 = 5 + 3 = 8$