4. 3x [xtxEinh Caxdk 18 15

Q: 0 2 4 6 2 3 4 5 If A = Compute C1(A). 2589 3 2 1 7

A:

Q: -3x Suppose /(x)- Evaluate: -3x 3- In (5) 3x 3- B. +C In (5) AIn (5) +C 3 517

A:

Q: solve each equation.

A: 15. 3x=2129. 12x-4=34x

Q: 6.8 Obtain a test for Ho: B1 = c versL

A:

Q: 8 12 F dt 2.

A: Given: I=∫148t-12t3dt   As we know that; The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule:…

Q: 16. x-By o 4x+25 1t. ax-3731 -Cx+ayー3

A:

Q: 11.6.2. f(x, y) = x4 + y+ – a² – 2xy – y². - -

A: As per bartleby guidelines we only give first question answers.

Q: 1) y = (In 4)* + In - (In va) (Inx)2

A:

Q: Ive for æ if In(x? – 1) = 0.

A:

Q: 6. Evaluate In (x - In (r-...))dr in terms of some new variable t (do not simplify).

A: Given :- ∫lnx-lnx-...dx To find the given integral in terms of some new variables t

Q: 8.Detormire the maximom num bec of Furning poinds Of .

A:

Q: 7) 3 units up and 1 unit left -T-ךרדr- ךר - ユーートー 3D 3D 3. --------- I--L

A: The solution are next step

Q: 13 |xsin xdx ーT 15 (xsin xdx

A: I=∫ x sinx dxIntegration by parts;u=x, v=sinxI=x∫sinx dx-∫(1 ∫sinx dx) dxI=-x cosx +∫cosx dxI=-xcosx…

Q: It x~N(μ,σ"), then ²~. Option 2 ption 1 *** *** *** N(0, 1) G(1⁄2,2) x² (2)

A: Given, if x~Nμ,σ2 Then x-μσ2

Q: 7 of 17 If LAO} =F(s), then L{f{4t)}= %3D

A: Here we solve this from the definition of Laplace transformation.MKMJCDSCDS

Q: 2.1 Evaluate f xvx +5dx (10 marks)

A: Given that   xx+5 dx Substitute u=x+5 →dudx=1  and x=u-5 ∫xx+5 dx=∫u-5 u du…

Q: 2. alak S 6sin"xcox dx

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: 5. fsin²xcos xdx

A:

Q: 3 In ADU DDL =9mm. Z/=6mmand //=N". Find FD. 3

A: By using the cosine rule we can can find the third side of triangle if we have given the two sides…

Q: Compute L^−1{ 2e^−3s/s^2+3s+2}

A: Given,            L-12e-3ss2+3s+2

Q: dz ニ Z – 2j K K : z |= 1

A:

Q: 7/4 26. "* secte tan*o d0

A: as per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: #6. Eunlwate taldx uhere cosk fa) cosx-SinZx, x)n .

A:

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

A:

Q: S Sech (ax-

A: Evaluating the integral of hyperbolic function using substitution.

Q: 4 Show that DE B0) n s+ Ø

A: We will use basic knowledge of metric space (or general topology) to answer this question.…

Q: 4 (3¢+6 ltisasolutie he Sisferrentiat e7uation Xo

A: Differential equation:- xy'+y+x4y4ex=0 Prove that:- y-3=x3 (3ex+c) Where y is not equal to 0

Q: 3.5 3 2.5 2 z а. 1.5 0.5 1.5-1 0.5 0 05 1 1.5 b. 15-1 0.5 0 05 0.5 0 os 1 15 d.

A: a) Consider the graph a) It is a graph of family of downward parabolas. A contour line for a…

Q: 44. 5x + x2 S 15 X1 + x2 s7 X1, X2 2 ()

A: There are two inequalities in i-system. Hence we will introduce two slack variables, s1 and s2.…

Q: (19) ds dt t= -1 if 5=1-3t

A: The given function is s=1-3t2

Q: 2л 2 2 Compute |pA dz dr de 0 07 O A. 35 28 O B. 35

A: To solve the integration.

Q: Q No 4 Evaluate (a) S 3x+4x+16x+20x+9dx (x+2)(x²+3)²

A: NOTE- I HAVE ANSWERED FIRST QUESTIO FOR YOU. IF YOU WANT THE SOLUTION OF REMAINING QUESTIONS THEN…

Q: If E(X) = -2 and V(X) = 6 (i) E (5X – 2) = 5 E(X) – E(2) = (5 x (-2)) – 2 = -12 (ii) V (5X – 2) = 52…

A: As we know that Var(X)= E(X^2)-[E(X)]^2 This implies E(X^2)= Var(X)+[E(X)]^2

Q: 16 SVids = %3D 9.

A: using  ∫xndx=xn+1n+1

Q: In(2 + x – 2y2 – 3z), 7 =, then If f(x, y, z) Duf (2,-1, 1) = - A) 11

A:

Q: 4. Evaluate: [ 1 dt. Vt2 –6t+13

A: Integration of the function helps to find the required value of the given expression. Integration…

Q: 4 Evaluate f, S, 6xy² dydx

A:

Q: 4 +2.9÷ 3 Pe as -3+ 18 ÷ 3 21 3 3D7

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

Q: Compute the following. 7/9+15x³-9x d [ 3x 37x3+5x²+3 dx

A: We have to find derivative

Q: 2.10 If x = -1, then the value of x* is

A: To find  The value of x^x.

Q: Suppose X~N(113,18), and Z~N(0,1). Then x = 94, is equivalent to z = ______.

A: Given that, Suppose X~N(113,18), and Z~N(0,1). Here, mean μ=113 and standard deviation σ=18

Q: -bability den= 10 > 7) is:

A: The probability density function is given as, fx=110 for 0≤x≤10. To determine the value of the…

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: 5 Gin Ococodo sin 20 + 3rino-4

A: We will find the integral using the method of substitution.

Q: 7. у%3Dх! 8. In(x?y) = 3 „Inx ,In3x² 9. y = eln3x²

A: To evaluate dydx: 7) y = xln x8) ln(x2y) = 39) y = eln3x2

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

A: Solution

Q: EVALUATE S(3sin t - 2cos t) dt

A: Topic = Integration

Q: 4 Find the 2nd partiol deriratives of 3x*y+y-4x+7 2

A: According to question, Let fx, y = 3x2y + y3 - 4x + 7