L(3+e2i) 2:

Q: (e) 216** - (Y296)"* 3r-2 (d) 8" 42+ x+15 () (25) =3125 %3D

A:

Q: dx (a) x4 + 2

A:

Q: | |x – 3| dæ by interpreting it i

A: We have to calculate the given definite integral according to the given information

Q: In the expression V x2 - a2/x (a > 0), let x = a sec 0, where 0 < 0 < ", and simplify the result. 2

A:

Q: 13. Find mzEDC. (9x- 1)° EE C. A (2r + 13) D

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Q: )- G) %3D ANTWOORD: / ANSWER: n =

A:

Q: dx is 2(1 – x²)7 +c is it: | 1-х2 a)True b)false

A:

Q: Find the value ofx so that m|| n. 15x° A. 4

A: Given query is to find the value of x.

Q: Ext: Find in 이) (2+31)2

A: Given, (2+3i)2

Q: 3. (D² — 2D + 1) у %3 е* In a

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Q: b) у%3D3—х? and y %3D —1.

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Q: E[2A+ 3B + C – E + 2D] |

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Q: dx = ? 3/2 (9x² –1)*

A:

Q: C 3 %3D BA = %3D

A:

Q: •B Find 2xVx- 5 dx, where B > 3.

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Q: w=ac/n  , solve for n

A:

Q: + 5e"| dx = +C

A: The given integral is ∫2x+5exdx

Q: 45°. B (2x+8) (3x – 24) ZD degrees

A:

Q: x2 8. 36 y2 3D1 4 ニ 「て

A: This question can be solved using the concepts of standard equation of hyperbola.

Q: Evaluate.

A: To evaluate the given integral.

Q: Given h' (a) = 7x2 + 21z' In a, find h (æ).

A:

Q: In the figure, 2=2x+29 and 24=5x+20. What is the measure of Z1? 4. 2

A: Given, Two intersecting lines in which ∠2 = 2x+29   ∠4 = 5x+20 ∠2  and ∠4     are opposite angles ∠1…

Q: ind bCt) it h'(t)= t12 h(4)=2 ,and hco)=3

A:

Q: 18. (D² + 36)²y = 0 %3D

A:

Q: 4. r=-0.2969 and n= 10 Find Σα

A:

Q: Find 3+4i

A: Part 1,Given,           3+4i3

Q: 2. x = In square LMNO, (4x - 2)° Blanks with this answer: R II

A: Solve for the value of x

Q: Find m/HKJ 239 (5х - 1)° (9x + 2)° K m/HKJ =

A:

Q: (D+3)(t-e^(2t))?

A: Concept:

Q: d (c) (3x² – x)7² dx

A: The objective is to find the derivative.

Q: Find EF in the trapezoid. A x+6 D E 7x 59 в EF =

A:

Q: er-y dA, R: 0 <x< In 2, 0 < y< In 2

A: we have to solve this double integral.

Q: dx (a) : x2 + 4 .2

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: r1 %3D 0. elect one:

A: Answer: False

Q: Find EF in the trapezoid. A x+8 5x 10 EF = %3D

A: In this question we have to find middle segment EF.

Q: 4. What is the value of x? Justify each step. AC = 32 %3D 2x 6x + 8 А B

A: The given diagram is:

Q: х3 — х J(2 +1)(х — 1)?

A:

Q: (b) 3r+1 = 52

A: Q (b) asked and answered.

Q: What is im ) 1+2i 3-4i 1 А. D. 2/5 B.

A:

Q: 4. y = e 2coscns (2x) 5. y = e

A: Here we have to find the derivative of question number 4 &amp;5

Q: Li (e" – 1) dæ r3

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: 00 4. dp. v² -v 11 %3D (Simplify your answer.)

A:

Q: b. 3+V5-x 3I

A:

Q: -5V3 c) S.v V100 – x²dx (give exact answer) 5

A: Solve the following

Q: 2pi "pi 2p y =

A: Given the graph of the function it is required to find the function.

Q: dx . Evaluate 3 xVx² – 9

A:

Q: u 30° В A D <BCD ¿DCA

A: detailed solution is given below

Q: -3(d+3)+9j

A: We will use multiplication method to find solution to the problem .

Q: dx 2 x² +k? Evaluate

A: Given: I=∫x-ax2+k2dx So, we can also write as; I=∫x-ax2+k2dx=∫xx2+k2-ax2+k2dx=∫xx2+k2dx-a∫1x2+k2dx…

Logic and Proofs

Discrete mathematics deals with the separated values of data such as integers. It is widely used in the practical field of computer science and mathematics. By knowing discrete mathematics one can improve their reasoning and problem-solving capabilities. Discrete mathematics became popular after the boom of computers which operate in discrete steps and store data in discrete bits. It also useful in studying computer programming, algorithms, and cryptography.