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X1 10M/C (Camb)

Authored by Grant Rawson

Mathematics

12th Grade

Used 3+ times

X1 10M/C (Camb)
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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 5 pts

Which function is a primitive of 11+9x2 ?\frac{1}{1+9x^2}\ ?  

19tan⁡−19x\frac{1}{9}\tan^{-1}9x  

13tan⁡−13x\frac{1}{3}\tan^{-1}3x  

19tan⁡−1x9\frac{1}{9}\tan^{-1}\frac{x}{9}  

13tan⁡−1x3\frac{1}{3}\tan^{-1}\frac{x}{3}  

2.

MULTIPLE CHOICE QUESTION

2 mins • 5 pts

Which expression is equal to cos 𝑥 + sin 𝑥 ?

2cos⁡(x+π4)\sqrt[]{2}\cos\left(x+\frac{\pi}{4}\right)  

2cos⁡(x−π4)\sqrt[]{2}\cos\left(x-\frac{\pi}{4}\right)  

2cos⁡(x+π3)2\cos\left(x+\frac{\pi}{3}\right)  

2cos⁡(x−π3)2\cos\left(x-\frac{\pi}{3}\right)  

3.

MULTIPLE CHOICE QUESTION

2 mins • 5 pts

Which expression is equal to cos 4𝑥?

1−2cos⁡28x1-2\cos^28x  

1−2cos⁡22x1-2\cos^22x  

2cos⁡28x−12\cos^28x-1  

2cos⁡22x−12\cos^22x-1  

4.

MULTIPLE CHOICE QUESTION

2 mins • 5 pts

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dydx=2x+y\frac{dy}{dx}=2x+y  

dydx=2x−y\frac{dy}{dx}=2x-y  

dydx=2xy\frac{dy}{dx}=2xy  

dydx=2xy\frac{dy}{dx}=\frac{2x}{y}  

5.

MULTIPLE CHOICE QUESTION

2 mins • 5 pts

The integral ∫ x21−x6dx\int\ \frac{x^2}{\sqrt[]{1-x^6}}dx   is transformed into which of the following integrals by the substitution u=x3 ?u=x^3\ ?

∫13 1−u2du\int\frac{1}{3\ \sqrt[]{1-u^2}}du  

∫31−u2du\int\frac{3}{\sqrt[]{1-u^2}}du  

∫13 1−u3du\int\frac{1}{3\ \sqrt[]{1-u^3}}du  

∫31−u3du\int\frac{3}{\sqrt[]{1-u^3}}du  

6.

MULTIPLE CHOICE QUESTION

2 mins • 5 pts

What is the probability of getting 3 sixes and 2 fours in any order when a standard die is rolled 5 times?

17776\frac{1}{7776}  

53888\frac{5}{3888}  

1253888\frac{125}{3888}  

6253888\frac{625}{3888}  

7.

MULTIPLE CHOICE QUESTION

2 mins • 5 pts

What is the component of the vector 4𝐢 in the direction of the vector 𝐢 + 𝐣?

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