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joja [24]
2 years ago
13

Evaluate lim x=π/4(3x - tanx)​

Mathematics
1 answer:
Karo-lina-s [1.5K]2 years ago
5 0

Answer:

 \lim_{x \to\frac{\pi }{4} } (3x-tanx) =  3(\frac{\pi }{4}  )

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given that

         \lim_{x \to\frac{\pi }{4} } (3x-tanx)

  =  \lim_{x \to\frac{\pi }{4} } (3x) -  \lim_{x \to\frac{\pi }{4} }  tanx)

 = 3(\frac{\pi }{4} )+tan(\frac{\pi }{4} )

=  3(\frac{\pi }{4} )+ 1 )

=  3(\frac{\pi }{4}  )

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F(x) =x2+2x-3 g(x)=3x-14
Leviafan [203]

The solution to the composite function f(g(x)) is 9x² - 78x  + 165.

<h3>What is composite function?</h3>

A composite function is generally a function that is written inside another function.

Function composition is an operation that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g.

From the given composite function, the solution is determined as follows;

to solve for f(g(x)), we use the following methods.

f(x) = x² + 2x - 3, g(x) = 3x - 14

f(g(x)) = (3x - 14)² + 2(3x - 14) - 3

         = 9x² - 84x + 196  + 6x - 28 - 3

         = 9x² - 78x  + 165

Thus, the solution to the composite function f(g(x)) is 9x² - 78x  + 165.

Learn more about composite function here: brainly.com/question/10687170

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The complete question is below:

F(x) =x2+2x-3 g(x)=3x-14, find f(g(x))

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1 year ago
Which equation is represented by Ms. Wilson’s model
SVEN [57.7K]

<span>                         D                     Q</span>

TC<span> =  D x P <span>+  ___   x  Cp +  ____  x Cs</span></span>

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<span>Cs: storage cost per unit</span>

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Answer:

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Answer:

The two points solutions to the system of equations are: (2, 3) and (-1,6)

Step-by-step explanation:

These system of equations consists of a parabola and a line. We need to find the points at which they intersect:

x^2-2x+3=-x+5\\x^2-2x+x+3-5=0\\x^2-x-2=0\\(x-2)(x+1)=0

Since we were able to factor out the quadratic expression, we can say that the x-values solution of the system are:

x = 2 and x = -1

Now, the associated y values we can get using either of the original equations for the system. We pick to use the linear equation for example:

when x = 2 then  y=-(2)+5=3

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Answer:

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Linear is a line while non linear is not.

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