Round 2: Math (Only for PE & CS)

• 1

• 0

• -1

• not defined

For given two functions f(-4) - 3g(-2) is equal to

• 27

• -25

• -27

• 25

If f is differentiable function and g(x)=x f(x), then g' (x) will be

• f' (x)

• xf' (x)

• 1+xf' (x)

• f(x)+xf' (x)

• log_e⁡3

• log₃⁡e

• 3 log_e⁡3

• Not defined

5. The function f (x)= sin x cos x is

I.           an even function

II.         an odd function

III.       a parametric function

• I only

• II only

• I and III only

• II and III only

• e³

• e^1/3

• E

• e^-1/3

∫4^3x dx= ?

• 3 .4^3x

• 1/3 4^3x

• 4^3x/ln3

• 4^3x/3ln3

d/dx ∫g(x) dx is equal to

• g(x)

• 1 /g(x)

• g' (x)

• g'' (x)

• R-{a ,-a}

• R-{a² ,-a² }

• R-{a ,-a ,3}

• R-{a² ,-a² ,3}

• 1

• 0

• e^x

• 1/e^x