Which undefined term is needed to define a circle?

Mathematics

1 answer:

Solnce55 [7]4 years ago

3 0

A Point is needed to define a circle Hope this helps!!!

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A linear revenue function is R = 12x. (Assume R is measured in dollars.) what is the slope? What is the revenue received from se

kherson [118]

Answer:

12 ; 12 dollars

Step-by-step explanation:

Data provided in the question:

Revenue function, R = 12x

R is in dollars

Now,

The slope can be found out by differentiating the above revenue function w.r.t 'x'

thus,

$\frac{\textup{dR}}{\textup{dx}}$ = $\frac{\textup{d(12x)}}{\textup{dx}}$

slope = 12

Now, for the second case of selling one more unit i.e x = 1, the revenue can be obtained by substituting x = 1 in revenue function

therefore,

R = 12 × 1 = 12 dollars

6 0

3 years ago

Integrate Sec (4x - 1) Tan (4x - 1) Dx

Delicious77 [7]

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$\bf \displaystyle\int~\cfrac{~~\begin{matrix} sin(4x-1) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{u^2}\cdot \cfrac{du}{-4~~\begin{matrix} sin(4x-1) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies -\cfrac{1}{4}\int\cfrac{1}{u^2}du\implies -\cfrac{1}{4}\int u^{-2}du \\\\\\ -\cfrac{1}{4}\cdot \cfrac{u^{-2+1}}{-1}\implies \cfrac{1}{4}\cdot u^{-1}\implies \cfrac{1}{4u}\implies \cfrac{1}{4cos(4x+1)}+C$