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← SetsMathematics Majorship — Set 1
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Mathematics Majorship Practice Questions — Set 1

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

1

Find the derivative of f(x) = e³x sin(x) with respect to x.

2

What is the value of the limit lim x → 0 (sin x)⁄(x)?

3

Evaluate the definite integral: int0² (3x² - 4x + 1) dx.

4

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

5

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

6

Find the value of i²026, where i = sqrt(-1).

7

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

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 f⁻1(x).