Explanation

The area of the region bounded by the coordinate axes and the line tangent to the graph of y = 1/8x^2 + 1/2x + 1 at the point (0,1) is 1.

Explanation

The equations x = 3cos(t) and y = 3sin(t) are parametric equations of a circle with center at the origin (0, 0) and radius 3.

Explanation

Sin(n+a) = -sina

Explanation

• the triangle where all side is different in length is called a scalene triangle.
• A scalene triangle is a triangle whose all sides are unequal and all angles have different measures
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Explanation

• The set S = {1/n : n ∈ N} is a set of positive fractions, where n is a natural number.
• As n increases, the value of 1/n decreases and approaches 0.

Explanation

• The correct answer is: 6^C2

This is because:

• 5^C2 = 10
• 5^C1 = 5
• 10 + 5 = 15

And:

• 6^C2 = 15
• So, 5^C2 + 5^C1 = 6^C2.

Explanation

 If each value of 'x' determines exactly one value of 'y', then:

The variable y depends on x

For every input x, there is a unique output y

This is the definition of a function in mathematics.

Explanation

A circum-circle is a circle that passes through all the vertices of a triangle.

Its center is called the circumcenter.

Explanation

sin^2 θ/2 = 1 - cos ^2 θ

Explanation

The correct answer is: Xn < X(n+1)

A sequence (Xn) in a metric space X is said to be strictly increasing if for all n, Xn is less than X(n+1), denoted by Xn < X(n+1). This means that each term of the sequence is strictly greater than the previous term.