If y = ex, for any natural number n, what is dx" n"e* n"enx O Option 3 O Option 1 n!e* n! enx O Option 4 O Option 2

Q: 3. Evaluate |(n + 1)! – (n + 2)!|, where n E N.

A: To evaluate n+1!-n+2!, n∈N.

Q: Evaluate f1 dy Vy-1 O a. 2ỹ+ 2ln(ỹ – 1) +C O b. 2j – 2ln(/ – 1) + C O c. None\ of\ the\ following O…

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Q: Evaluate V3( + )] 10 2

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Q: Use the F-scale measurements of tornadoes listed in the accompanying table. The range of the data is…

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Q: (п - 2)! n! 56

A: Given- n-2!n!=156 To find- The value of n. Concept Used- r!=rr-1r-2r-3........2·1.

Q: N is a natural number. How many values of 'n' can take if ( n! ) Is a multiple of 2 power 25 but not…

A: The highest power of 2 that will multiple of n! is n2+n22+n23+n24+n25+... and so on If we take n=20,…

Q: -1<9+n<7

A: Given,           -1 &lt; 9 + n &lt; 7

Q: . Let n =12,612,6x0,725,725 . a. If 9 | n, then x = ________ . b. If 11| n, then x = ________.

A: (a) We know 9 | n iff the sum of the digits of n is divisible by 9.     n = 126126x0725725    =&gt;…

Q: dr e+2 O -In(2 + e*) +C O 2ln(1+2e) + C O In(1+ 2e") +C 0 글m(2+ e ") +C O In(1 + 2e*) + C O -2ln(2 +…

A: We can use the method of substitution to solve the given problem.

Q: The value of E[(i=O)^4]i! is О 32 O 36 O 30 O 34

A:

Q: There are 52 cards in an ordinary deck of playing cards. How many possible ways of shuffling are…

A: Since, we know that there are 52 cards in an ordinary deck of playing cards.Our aim is to find the…

Q: 3. (Va² +1)* dz. Evaluate

A: Write radical in the form of fractions.

Q: 3" Lu- 5n)" n=1

A:

Q: Three cards are chosen without replacement from a deck of 52 cards and placed in order from first to…

A: In the deck of 52 cards, there are total 4 6's. (One for each of hearts, diamonds, spades and clubs)…

Q: Find the value of 14!/5!9!

A: 14!5!9!

Q: In how many ways can a class of 13 students be assigned 2 A's, 2 B's, 4 C's, 3 D's and 2 F's?

A: Number of students in a class .We are asked to find the number of ways to grade of students ().

Q: How many different ways can a club of 25 members fill the positions of president, vice president and…

A: Given: The positions to be filled by the club members are president, vice president, and Secretary.…

Q: Question* How many ways can the letters of the word "PREVIOUS" be arranged if "PRE" must be next to…

A: We have to arrange the letters of "PREVIOUS" under the given condition.

Q: 2. Evaluate f]x-1dx 1 O 2 O None of these

A:

Q: In the Powerball Lottery, 5 different numbers from 1 to 69 are selected. The order they’re selected…

A: There are  different numbers from  to  that are selected in the Powerball lottery having the order…

Q: The probability of choosing an odd number in the given set of numbers 8, 13, 14, 9, 15, 11, 10 is O…

A: Given : Set of numbers : 8 , 13 , 14 , 9 , 15 , 11 , 10.

Q: Prove the statement that "The sum of three consecutive integer numbers is odd if and only if the…

A:

Q: [1 if A= 2 13 2 1 -2 * find det (A) if 3 3 -11 6 O 38 O 16 O 18 O 48 O

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Q: L'E Student activ mdution. ve by mahematic

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Q: What is the use of Boolean identities?

A: Boolean algebra has a number of useful identities. Here an "identity" so called "rules" is a…

Q: If n∈Z, then 4|n2 or 4|(n2−1).

A: First, we need to understand the problem. The question is asking whether for any integer n, either…

Q: If a * b = a + 2ab, is (a * b) * c = a * (b * c)? *       a. Yes b. No c. Maybe d. Cannot be…

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Q: leoinov o and 7o iqeng od dw nislqont-( do (0) d o on tud pouso mbrore XE G Such that X? -3X -4=03…

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Q: t "eighteen to the fourth power"

A: Eighteen to fourth power =18^4

Q: Evaluate: o S S dedydz ry O -1 - O 1 1/2 1/2

A:

Q: 5 13 √194

A:

Q: Suppose the probability of winning a particular lottery is 1 in 14C7 • 7 or 24.024 If Juanita and…

A: The probability of winning the particular lottery is 1 in C714  or 124024.

Q: 8 4 SS e*dædy O e16 – 1 e16 + 1 *+1 el6 2 O 2e16 – 1 O 2e16 +1 O el6

A:

Q: How many ways can we rearrange the word COLOR such that the two O's won't be next to each other?

A: We have to find no. Of permutations possible.

Q: 0 Explain why it is true that for any positive integer n, D" 0

A: Given statement is,