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2 years ago

Given f(x)=6x+2, find f(x+3).

Mathematics

1 answer:

Finger [1]2 years ago

3 0

Answer:

f(x+3) is 6x + 20

Step-by-step explanation:

${ \sf{f(x) = 6x + 2}} \\ { \sf{f(x + 3) = 6(x + 3) + 2}} \\ = { \sf{6x + 20}}$

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3 years ago

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2 years ago

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Para armar un escritorio, Eduardo tendrá que usar 20 tarugos, los que debe cubrir completamente con una capa de pegamento. Él ca

Degger [83]

El área superficial total de los veinte tarugos es mayor que el área superficial cubierta por el pegamento.

<h3>Como determinar si la superficie cubierta por el pegamento es suficiente</h3>

En esta pregunta debemos calcular el área superficial total de los tarugos ( $A_{s}$ ), en milímetros cuadrados, y comparar el resultado con la cifra afirmada por Eduardo. El área superficial total es:

$A_{s} = 20\cdot \pi\cdot (5\,mm)^{2}\cdot (80\,mm)$

$A_{s} \approx 125663.706\,mm^{2 }$

En consecuencia, el área superficial total de los veinte tarugos es mayor que el área superficial cubierta por el pegamento. Francisca tiene la razón. $\blacksquare$

<h3>Observación</h3>

El enunciado omite las dimensiones geométricas de cada tarugo (5 milímetros de radio y 80 milímetros de longitud).

Para aprender más sobre áreas, invitamos cordialmente a ver esta pregunta verificada: brainly.com/question/391394

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1 year ago

Suppose that we don't have a formula for g(x) but we know that g(3) = −1 and g'(x) = x2 + 7 for all x.

Sliva [168]

Answer:

g(2.95) ≈ -1.8; g(3.05) ≈ -0.2
A) tangents are increasing in slope, so the tangent is below the curve, and estimates are too small.

Step-by-step explanation:

(a) The linear approximation of g(x) at x=b will be ...

g(x) ≈ g'(b)(x -b) +g(b)

Using the given relations, this is ...

g'(3) = 3² +7 = 16

g(x) ≈ 16(x -3) -1

Then the points of interest are ...

g(2.95) ≈ 16(2.95 -3) -1 = -1.8

g(3.05) ≈ 16(3.05 -3) -1 = -0.2

(b) At x=3, the slope of the curve is increasing, so the tangent lies below the curve. The estimates are too small. (Matches description A.)

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2 years ago