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2 years ago

desceibe how to determine the average rate of change between x=4 and x=6 for the function f(x)=2x^3 +4

1 answer:

4 0

$slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ f(x)= 2x^3+4\qquad \begin{cases} x_1=4\\ x_2=6 \end{cases}\implies \cfrac{f(6)-f(4)}{6-4} \\\\\\ \cfrac{[2(6)^3+4]~~ -~~[2(4)^3+4]}{2}\implies \cfrac{436~~ -~~132}{2}\implies \cfrac{304}{2}\implies 152$

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The formula for wind chill C (in degrees Fahrenheit) is given by C = 35.74 + 0.6215T - 35.75v^0.16 + 0.4275Tv^0.16 where v is th

Diano4ka-milaya [45]

Answer:

dC = 2.44

Relative error = 19%

Step-by-step explanation:

$C = 35.74 + 0.6215*T - 35.75*v^(0.16) + 0.4275*T*v^(0.16)$

Δv = 3 ; ΔT = 1 , v = 23, T = 8

Use differential Calculus

$dC = Cv.dv + Ct.dt$

$Cv = dC/dv = -5.72*v^(-0.84) + 0.0684*T*v^(-0.84)\\Ct = dC/dT = 0.6215 + 0.4275*v^(0.16)\\dC = modulus (Cv.dv) + modulus (CT.dT)\\dC = (-5.72*v^(-0.84) + 0.0684*T*v^(-0.84))* 3 + (0.6215 + 0.4275*v^(0.16))*1\\dC = 2.44$

Relative Error

dC / C @(T = 8, v=23) * 100 = 19 %

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2 years ago

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Paha777 [63]

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2 years ago

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find the simplified form of the expression give your answer in scientific notation (4 ×10^10)(9×10^-5)

xz_007 [3.2K]

Answer:

3.6 x 10^6

Step-by-step explanation:

(4 ×10^10)(9×10^-5)

= (4 x 9) x 10^(10 - 5)

= 36 x 10^5

= 3.6 x 10^6 <-------in scientific notation

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2 years ago

What is the inverse relation of the function whose equation is y= 3x-2

serg [7]

Answer:

1/3x +2/3 = y

Step-by-step explanation:

y= 3x-2

To find the inverse, exchange x and y

x = 3y-2

And solve for y

x+2 = 3y-2+2

x+2 = 3y

Divide by 3

1/3(x+2) = 1/3(3y)

1/3x +2/3 = y

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2 years ago

Shannon made a sketch of a ramp that she wants to build. She wants to figure out the angle of elevation formed by angle x.

Alina [70]

The value of x from the diagram is 29 degrees.

<h3>SOH CAH TOA identity</h3>

From the given figure, we have the following parameters:

Opposite = 12
Hypotenuse = 25

<h3>According to the theorem:</h3>

Sin x = opposite/hypotenuse

Sin x = 12/25

Sin x = 0.48

x = arcsin(0.48)

x = 28.685

x = 29 degrees

Hence the value of x from the diagram is 29 degrees.

Learn more on SOH CAH TOA here: brainly.com/question/20734777

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2 years ago

desceibe how to determine the average rate of change between x=4 and x=6 for the function f(x)=2x^3 +4​

desceibe how to determine the average rate of change between x=4 and x=6 for the function f(x)=2x^3 +4