alleryStart learning →If $P(A)=0.3$, $P(B)=0.4$ and A, B are mutually exclusive, then $P(A\cup B)$ is:
- 0.12
- 0.1
- 1.0
- 0.7
Show answer and solution
Correct answer: D. 0.7
For mutually exclusive events, P(A∪B) = P(A)+P(B) = 0.3+0.4 = 0.7.
Indian Navy INET Application of Integrals — practice questions
Explore 22 free Application of Integrals questions in Indian Navy INET Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
Practise Application of Integrals with Quill →Application of Integrals questions and exercises with answers
Showing questions 1–22 of 22.
If $P(A)=0.3$, $P(B)=0.4$ and A, B are mutually exclusive, then $P(A\cup B)$ is:Read the answer and worked solution →The double angle formula sin 2A equals:Read the answer and worked solution →Complete the relationship between the two calculiRead the answer and worked solution →True or false: the constant of integrationRead the answer and worked solution →Differentiation or integration?Read the answer and worked solution →Tap every property of indefinite integrals the chapter givesRead the answer and worked solution →Properties in useRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Three of these are wrong. Find the one that holds.Read the answer and worked solution →Order the steps: check an indefinite integralRead the answer and worked solution →Flip and pair: term with meaningRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →True or false: reading the notationRead the answer and worked solution →Definite or indefinite?Read the answer and worked solution →Reading the definitions backRead the answer and worked solution →Complete the linearity rulesRead the answer and worked solution →Which process is being described?Read the answer and worked solution →True or false: what the constant meansRead the answer and worked solution →Checking an integralRead the answer and worked solution →Tap every true statement about integrationRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →
Worked practice questions
The double angle formula sin 2A equals:
- $\sin A + \cos A$ (incorrect sum)
- $2 \sin A \cos A$ (the correct formula)
- $\sin^2 A - \cos^2 A$ (resembles cos 2A)
- $2 \sin^2 A$ (only partial)
Show answer and solution
Correct answer: B. $2 \sin A \cos A$ (the correct formula)
sin 2A = 2 sin A cos A. Comes from sin(A+A) = sin A cos A + cos A sin A. cos 2A has multiple equivalent forms: cos²A − sin²A = 2cos²A − 1 = 1 − 2sin²A.
Complete the relationship between the two calculi
Read exercise and reference answers
- Missing parts
- Answer
- derivative
- Choices
- derivative
- integral
- limit
- Answer
- function
- Choices
- function
- constant
- slope
- Answer
- inverse
- Choices
- inverse
- same
- square
- Complete the statement
- In differential calculus you are given a function and find its {0}. In integral calculus you are given the differential and must find the {1}. So integration is the {2} of differentiation.
Integration undoes differentiation. Source: syllabus Maths, Ch 7 Integrals.
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