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GATE 2023 Engg. Mathematics Quiz 6
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Question 1
Let X ϵ {0, 1} be two independent binary random variables. If P(X = 0) = P and P(Y = 0) = q, then P(X + Y ≥ 1) is equal to
Question 2
The maximum value of the directional derivative of the function
at a point (1, 1, –1) is
![Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-EE-ME-19-Mar\GATE-ME-2000_files\image056.png](https://gs-question-images.grdp.co/1458385995652871.png)
Question 3
![](https://gradeup-question-images.grdp.co/liveData/PROJ47608/1587014334689489.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ47608/158701433542695.png)
Question 4
f(x) = x, g(x) =
; by using Cauchy mean value theorem mean value for the function in [a,b] will be______.
![](https://gradeup-question-images.grdp.co/liveData/PROJ23604/154322958520883.png)
Question 5Multiple Correct Options
The value of the integral
is ______.
![](https://gs-post-images.grdp.co/2020/9/13-img1600856797868-79.png-rs-high-webp.png)
Question 6Multiple Correct Options
Find the maximum value of ![](https://gradeup-question-images.grdp.co/liveData/PROJ59378/1600330237909748.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ59378/1600330237909748.png)
Question 7
Parcels from sender S to receiver R pass sequentially through two post –offices. Each post – office has a probability 1/5 of losing an incoming parcel, independently of all other parcel. Given that a parcel is lost, the probability that it was lost by the second post –office is
Question 8
The equation 5x–2cosx – 1 = 0 is to be solved first by newton Raphson method by taking initial glass x = 0.5 and then bisection method is applied using the initial guess and this new estimate from newton Raphson. The estimated value of the root of equation of the bisection method is _____.
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