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โ† SetsMathematics Majorship โ€” Set 2
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Mathematics Majorship Practice Questions โ€” Set 2

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 2 of 3.

11

What is the remainder when xยณ - 2xยฒ + 3x - 4 is divided by (x - 2)?

12

Solve for x: log2(x) + log2(x-2) = 3.

13

Find the eccentricity of the ellipse given by (xยฒ)โ„(25) + (yยฒ)โ„(9) = 1.

14

What is the derivative of f(x) = ln(sin x)?

15

Evaluate โˆซ e^x cos x dx.

16

The probability of hitting a target is 1โ„3. If 5 shots are fired, what is the probability of hitting the target exactly 2 ร—?

17

Find the dot product of vectors u = 2i - 3j and v = 4i + j.

18

What is the area of a triangle with vertices (0,0), (4,0), and (0,3)?

19

Which of the following is an even function?

20

What is the order of the differential equation y'' + 3(y')ยณ + y = 0?