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Olin [163]
3 years ago
7

What are the domain and range of the function f(x)= 2x+1

Mathematics
1 answer:
navik [9.2K]3 years ago
4 0

Answer:

Domain: All the real numbers

Range: All the real numbers

Step-by-step explanation:

The domain of a function is the complete set of possible values of the independent variable 'x'. That is to say, all the values that 'x' can take:

In this case, f(x)= 2x+1, the independent variable has no restrictions. Meaning that 'x' can take all the Real Values. In set notation: x∈ℝ.

The range of a function is the complete set of all possible resulting values of the dependent variable 'y'. In this case, given that the independent variable has no restrictions, the dependent variable 'y' can take any value. So, the range is: y ∈ ( −∞, ∞ ) - All the real numbers.

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Set up a double integral for calculating the flux of the vector field ????⃗ (????⃗ )=????⃗ , where ????⃗ =⟨x,y,z⟩, through the p
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Answer:

-937.5π

Step-by-step explanation:

F (r) = r = (x, y, z) the surface equation z = 3(x^2 + y^2) z_x = 6x, z_y = 6y the normal vector n = (- z_x, - z_y, 1) = (- 6x, - 6y, 1)

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Thus, flux is;

= ∫∫ -3(x² + y²) dA.

Since the region of integration is bounded by x² + y² = 25, let's convert to polar coordinates as follows:

∫(θ = 0 to 2π) ∫(r = 0 to 5) -3r² (r·dr·dθ)

= 2π ∫(r = 0 to 5) -3r³ dr

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3 years ago
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The diameter of the wheels on your car is 25 inches. You are going to drive 458 miles today. Each of your wheels is going to tur
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The number of rotations required to cover the distance would be

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1 rotation is 360^{\circ} so

369479.855599\times 360=133012748.016^{\circ}

The number of rotations to cover the required distance is 133012748.016^{\circ}

Learn more:

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