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โ† SetsMathematics Majorship โ€” Set 1
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Mathematics Majorship Practice Questions โ€” Set 1

10 free Mathematics Majorship reviewer questions with answers and explanations. Pindutin ang sagot mo para makita agad kung tama โ€” kasama na ang paliwanag. Set 1 of 3.

1

Find the derivative of f(x) = eยณx sin(x) with respect to x.

2

What is the value of the limit lim x โ†’ 0 (sin x)โ„(x)?

3

Evaluate the definite integral: int0ยฒ (3xยฒ - 4x + 1) dx.

4

If matrix A is a 2 ร— 2 matrix with det(A) = 5, what is det(3A)?

5

What is the sum of the infinite geometric series: 1 + (1)โ„(3) + (1)โ„(9) + ...?

6

Find the value of iยฒ026, where i = sqrt(-1).

7

What is the period of the function f(x) = 3sin(4x + ฯ€)?

8

In how many ways can 5 people be seated in a round table?

9

Which of the following is the equation of a circle with center (2, -3) and radius 5?

10

If f(x) = 3x - 5, find the inverse function fโป1(x).