1 4 In x - In y

Q: A = ]• a = 0 27 %3D 409 5 ?

A:

Q: 3) Find x if IS = x and IQ = 2x – 5 S. R

A: given,     IS=x , IQ=2x-5

Q: Solve for r: In(x) + In(x + 2) = 3

A: Use the properties of lograthim and simplify.

Q: ir -1+++*- then 1++ -- If

A:

Q: ven below. X₁, X2, Xn (1)

A: Given: f(x)=(θ+1)xθ,0<x<10, otherwise

Q: Σ2. 1 i = 1

A:

Q: Ive for æ if In(x? – 1) = 0.

A:

Q: 32+4 to Le

A:

Q: 21. 22. 8 in 70 in (-6(5r) + 10) in (9x – 2) 3 of 6 in r = X =

A:

Q: 5sin x d) y = In 2

A:

Q: lim (1,y) (3,9) O 15 O 12 0 9 0 6

A: Let L=lim(x, y)→(3, 9)x2+xy-2yx-y

Q: 4. ( Give a case in which |(x, y) |xlly|l.

A:

Q: 1. y = In(x? – 7x) 2. y = x³ In(x? + 3) 3. y = In(x? – 1)³/4x + 2 4. y = In v4 – 3x -

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: 10 - te

A: Integrate it.     ∫e2x+e-2xe2x-e-2xdx

Q: 18) y'x In(x) = y, y(2) = In(4)

A:

Q: Pebermine x and such that -4 3 -4 -4 -3 4 -8 4 -4 -2 3. 3. OC

A:

Q: Find the following indefinite integral.

A:

Q: 1 x (In x)3

A:

Q: 12 3 n +2 (b) 2 = 2 – 2n + ..+ 22 23 2n lia on intege

A: (b)  To prove : 12+222+323+.....+n2n=2-n+22n for all n≥1   For n=1,  LHS : 12 RHS : 2-1+22=12= LHS…

Q: 14. tan 0 = 1.6; 180° < 0<270°

A:

Q: In r edz · 13

A: ∫35 xln x dx

Q: 2 In (x + 2) – į In x = 1.

A:

Q: is: tan z 78.5

A:

Q: 1 1 (c) 1 1 1 Lo 0 1 32 2 1 -2,

A:

Q: dz 14. Evaluate S z(4+2)

A: Given: ∫dzz4+z23. Evaluate the value of the integral.

Q: 11. fel/x²di .3 X хр

A: Here, to evaluate: I=∫e1x2x3dx

Q: 1. 3 x 33

A:

Q: |2 In x 1 et 2 1 In 2x

A:

Q: 11. In(5x + 2) = In 4 + In (x + 3) %3D

A: Apply log properties for solve the value of x

Q: 5 In (x°); xo =1

A:

Q: Compute |A| for the following:

A: Given: A=2100121001210012

Q: 4 x Vx +3 In (x + 3)5 ..... +3 In (x+3,5

A:

Q: N Let y (0) X ~ Bin 0.3 {0.4

A: From the given information, X follows Binomial distribution n,Θ. PX|Θ=nxΘx1-Θn-x yΘ=0.3, Θ=Θ1,Θ20.4,…

Q: Evaluate /x In(7 x)dx In(7 x) 2+x? .6 + c 6. 36 In(7 x) -6 + c 6. 36 In(7 x) + In(7 x) – 36 -* +c 6.…

A:

Q: O y = -(x+ 4)² + 5 | O y = -(x- 4)² – 5 | O y = #(x – 4)² + 5 O y = -( - 4)² + 5

A:

Q: expressed

A:

Q: 4. х%3D 26 5. х%3D 18 X X = IPP

A: Let X be the random variable from normal distribution with mean (μ) = 17, standard deviation (σ) = 4…

Q: Differentiate 3?3−5?2+5/?2+1 with respect to x

A:

Q: 19. у 3D cscс 21 4

A: Sketch the graph

Q: 5 In(x); xo = 1

A:

Q: In(x - 5) + In(x – 4) = In e? %3D

A: Given,

Q: 9 Vx +31 = %3D Va+31

A: x+31=9x+31

Q: 1 2 In x 1 x² –1 x→1

A: Here we have to find the value of limit. The solution is following.

Q: x P(x) 0 0.03 1 0.34 2 0.27 3 ??

A: Let , the probability distribution of X is given. Our aim is to find the missing probability i.e.…

Q: 33-% ercent 10% 13. 72% ecimal 12. 0.3 15. 0.72 1 raction 14. 16 10 2/0

A: 12,  The given percent is 10% In decimal it will be 10100=0.1     13.  The given fraction is 23 to…

Q: 8. f(x) %3D In (3х * — 5х?)5

A:

Q: 27 1 2-r2 4. Evaluate: r dz dr de Jo

A: Solution

Q: 26. 2(0.1)5 + 2(0.1)6 + -…- +2(0.1)13

A: To Find: Sum of-       2(0.1)5+2(0.1)6+ .... + 2(0.1)13     NOTE :For r≠1, the sum of the first n+1…

Q: 0.12093 He(s) = %3D (s2 +0.3640s +0.4945)(s2 +0.9945s + 0.4945)(s2 + 1.3585s + 0.4945)

A: We need to find the Partial fraction expansion in the image below. So,…