Explanation

Fehling's test and Tollen's test are used for the identification of:

Aldehydes: Both tests are specific for detecting aldehydes, as aldehydes can be oxidized to carboxylic acids, producing a positive result.

Distinctive results:

Fehling's test: Forms a red precipitate of copper(I) oxide with aldehydes.

Tollen's test: Produces a silver mirror with aldehydes.

Explanation

The velocity potential (φ) of an incompressible fluid satisfies Laplace's equation:

∇²φ = 0

This equation represents the conservation of mass for an incompressible fluid.

Explanation

r(cosθ + isinθ)

This is the polar form of a complex number.

where r is the magnitude (or modulus).

θ is the argument (or angle).

Explanation

To find the acute angle between the vectors, first find the dot product:

z1 = 3 - 4i

z2 = -4 + 3i

Dot product = (3)(-4) + (-4)(3) = -12 - 12 = -24

Next, find the magnitudes:

|z1| = √(3^2 + (-4)^2) = √(9 + 16) = √25 = 5

|z2| = √((-4)^2 + 3^2) = √(16 + 9) = √25 = 5

Now, find the cosine of the angle:

cos(θ) = (Dot product) / (|z1| |z2|)

= -24 / (5 * 5)

= -24 / 25

θ = arccos(-24/25) ≈ 16°16'

Explanation

Among the options, Sorghum/Corn generally have the highest nutritional content, including:

Protein: 10-12%

Fiber: 2-3%

Vitamins: B, E, and K

Minerals: Iron, Zinc, and Phosphorus

Explanation

Explanation

Given the function f(x) = 3x - 2

This is a linear function with a slope of 3. Since it's linear and defined for all real numbers x, its range is all real numbers.

As x varies from -∞ to ∞, f(x) also varies from -∞ to ∞.

Explanation

A Monopoly exists when there is only one seller in the market.

The product offered has no close substitutes, giving the seller full pricing power.

Explanation

Explanation