Quiz about BENGKEL "ROAD 2 SUCCESS IN DBM20023"

Question 1

Which of the following is TRUE?

Accepted Answer

$$5^{-2+3}=5^{-2} imes5^3$$

Answer

$$5^{-2+3}=5^{-2}+5^3$$

Answer

$$5^{-2+3}=\left(5^{-2}\right)^3$$

Answer

$$5^{-2+3}=5^{-2}-5^3$$

Question 2

Simplify $$\frac{a^4 imes a^2}{a^3}$$

Accepted Answer

$$a^3$$

Answer

$$a$$

Answer

$$a^2$$

Answer

$$a^4$$

Question 3

If $$x^{-\frac{1}{4}}=5$$ then

Accepted Answer

$$x=5^{-4}$$

Answer

$$x=5^{^{\frac{1}{4}}}$$

Answer

$$x=5^4$$

Answer

$$x=-5^4$$

Question 4

If $$\left(x-1\right)^3=4^3$$ then

Accepted Answer

$$x-1=4$$

Answer

$$x=4$$

Answer

$$x=4-1$$

Answer

$$x=4^{\frac{1}{3}}$$

Question 5

If $$p^3q^3=27^3$$ then

Accepted Answer

$$pq=27$$

Answer

$$p+q=27$$

Answer

$$\left(pq\right)^3=27$$

Answer

$$pq=27^3$$

Question 6

Simplify log(12) + log (6)

Accepted Answer

log(72)

Answer

log(18)

Answer

log(6)

Answer

log(2)

Question 7

If 3^x = y, which of the following is true?

Accepted Answer

log₃y = x

Answer

log₃x = y

Answer

logxy = 3

Answer

logy3 = x

Question 8

If log_a8 = b, which of the following is true?

Accepted Answer

ab = 8

Answer

ba = 8

Answer

a8 = b

Answer

8b = a

Question 9

Simplify: 2log(x) + 3log(xy)

Accepted Answer

log(x⁵y³)

Answer

log(5xy)

Answer

5log(x2y)

Answer

log(6x2y)

Question 10

Find the derivative of the given equation
y = x³ + x² + 3

Accepted Answer

3x2 + 2x

Answer

3x + 2x

Answer

3x + 2x + 3

Answer

x3 + x2

Question 11

Find the derivative for $$y=\sqrt{x^5}$$

Accepted Answer

$$\frac{5}{2}x^{\frac{3}{2}}$$

Answer

$$\frac{5}{2}x^{\frac{7}{2}}$$

Answer

$$\frac{5}{2}x^{\frac{1}{2}}$$

Answer

$$\frac{1}{2}x^{\frac{3}{2}}$$

Question 12

Differentiate with respect to x. $$f\left(x\right)=5x^5+\sin x$$

Accepted Answer

$$f$$

Question 13

What differentiation rule is to be applied first in the given function?

Accepted Answer

Quotient Rule

Answer

Product Rule

Answer

Constant Multiple Rule

Answer

Sum and Difference Rule

Question 14

Differentiate $$y=\left(3x+7\right)^5$$

Accepted Answer

$$\frac{dy}{dx}=15\left(3x+7\right)^4$$

Answer

$$\frac{ ext{d}y}{ ext{d}x}=5\left(3x+7 ight)^4$$

Answer

$$\frac{ ext{d}y}{ ext{d}x}=5\left(3x+7 ight)^6$$

Answer

$$\frac{dy}{dx}=15\left(3x+7\right)^6$$

Question 15

.

Accepted Answer

(3x²-2)cos(x³-2x)

Answer

-(3x²-2)cos(x³-2x)

Answer

cos(2x²-2)

Answer

sin(2x²-2)

Question 16

Find $$\frac{dy}{dx}$$ for $$y= an^4\left(2x+1 ight)$$ .

Accepted Answer

$$4\left( an\left(2x+1 ight) ight)^3\cdot\sec^2\left(2x+1 ight)\left(2 ight)$$

Answer

$$4\left( an\left(2x+1 ight) ight)^4\cdot\sec^2\left(2x+1 ight)\left(2 ight)$$

Answer

$$\left( an\left(2x+1 ight) ight)^3\cdot\sec^2\left(2x+1 ight)\left(2 ight)$$

Answer

$$4\left( an\left(2x+1 ight) ight)^3\cdot\sec^2\left(2x+1 ight)$$

Question 17

Given $$z=x^2y^3+2x-3y^3$$ . Determine $$\frac{\partial z}{\partial y}$$

Accepted Answer

$$\frac{\partial z}{\partial y}=3x^2y^2-9y^2$$

Answer

$$\frac{\partial z}{\partial y}=3x^2y^2+2-9y^2$$

Answer

$$\frac{\partial z}{\partial y}=2x^2y^2-9y^2$$

Answer

$$\frac{\partial z}{\partial y}=2xy^3+2$$

Question 18

Find the derivative for $$y=\ln\left(3x^2+x\right)$$

Accepted Answer

$$\frac{ ext{d}y}{ ext{d}x}=\frac{6x+1}{3x^2+x}$$

Answer

$$\frac{ ext{d}y}{ ext{d}x}=\frac{3x+1}{3x^2+x}$$

Answer

$$\frac{ ext{d}y}{ ext{d}x}=\frac{6x}{3x^2+x}$$

Answer

$$\frac{ ext{d}y}{ ext{d}x}=\frac{1}{3x^2+x}$$

Question 19

Write the second order differentiation for $$3x^4+2x^3-4x^2+5x+1$$

Accepted Answer

$$36x^2+12x-8$$

Answer

$$36x^2-12x-8$$

Answer

$$36x+12$$

Answer

$$36x^3+12x-8$$

Question 20

Find the integral

$$\int_{ }^{ }2dx$$

Accepted Answer

$$2x+c$$

Answer

$$\frac{x}{2}+c$$

Answer

$$2x^2+c$$

Answer

0

Question 21

Find the integral $$\int_{ }^{ }8x^{-9}dx$$

Accepted Answer

$$-x^{-8}+c$$

Answer

$$x^{-8}+c$$

Answer

$$-\frac{8x^{-10}}{10}+c$$

Answer

$$\frac{8x^{-10}}{10}+c$$

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