If z̟z2=0 →Zz=0 _or z,=0

Q: ,2 2. 6+t dt

A:

Q: (In x)* Integrate: 1

A: Given,            ∫1eln x4xdx

Q: An ecologist is considering two different positions in which to setup his solar energy collector. He…

A: The appropriate Null and Alternative Hypotheses are given below:   Null hypothesis:   H0: µ1=µ2.…

Q: Find inverse Z-transform 1+- X(z) = (1 - -)*

A:

Q: Prove fulay's formule -CstD)4isin LO)

A:

Q: how do you find z sub alpha over 2 using table a-2

A: I am solving this question by taking an example Let us take α = 0.05 We need to find

Q: Use a linear approximation to estimate V26. Whot neint

A:

Q: x³dx S 17. √(1-x²

A:

Q: 5. Show that dS = 0. lav

A: The objective is to show that, ∮∂VdS=0. Let V=cT where c is a constant vector. Now by divergence…

Q: 3. Integral xdx 10x -234

A: We will use substitute method to solve this integral.

Q: Find of z = In(xy)

A: Given,Z=ln(xy)differentiating both the sides partially w.r.t. x∂z∂x=1xyy1∂z∂x=1xagain differntiating…

Q: Integrate Intergrate 21x/ with recpect to X mtegrate X- 28 with respect to X

A:

Q: Compute integral23  3x^2+2x+1 / x^2 dx

A:

Q: Evaluate the indefinite integral S(z -9-dz 를-9z + 듣 +C 4x4 중-9z + + C 222 - 9x + 7lnx³ + C - 7 9x -…

A: First we write each term using exponent

Q: Integrate from 0 to 2

A:

Q: 12 Integrate: ,V4 - z² + dr

A: The given function is 4-x2+x7+24-x2 We have to integrate this function over the interval -2, 2

Q: 2. Show that for simple linear regression (SLR) we have that cov(B, B,) = - xoʻ/S

A:

Q: Consider the following Lp: Max Z =5.4 x, +6x2 Such that 4x, + 3 x, < 20, 000 (Hours available)…

A: The given LP problem is                      Max Z=5.4 x1+6x2subject to            4x1+3x2…

Q: An ecologist is considering two different positions in which to setup his solar energy collector. He…

A: Given: n=10 The significance level is taken as 0.05.

Q: Show that - In(x – V - 1) = In(x + Vr – 1)

A:

Q: Compute integral23   3x^2+2x+1/x^2  dx

A: The given integral is ∫233x2+2x+1x2dx.

Q: Differentiate y = laz az-1 In r Option 2 None of these 2n In z Option 3 Option 1 2ln-1 In z

A:

Q: How is the Chain Rule applied when finding dydx implicitly?

A: According to the question, we have to explain the chain rule when used in the implict function.…

Q: Еxercise 13 Determine how тany times 0 арpears in thе тultiplicatioп table for Z16-

A:

Q: Evaluate the integral of * xdx Vx2-6х +13 |x-3+ (x-3)- 3 In Scx – 3)² – 4 + c x-3 3 In 6x +13 Option…

A: Explained below

Q: 4. Evaluate the integtral. (1) S dt 3

A: To evaluate the given integral we will use the following rule of integration: Now we have:

Q: 9 In(z² – 1) dz

A: Given: ∫9lnx2-1dx

Q: Find dy of

A: Use the chain rule of differentiation and simplifie the result.

Q: By integration find the Fourier transform of Ax)=2r+1 _if þx|<1_and fx)=0 otherwise.

A: According to our company policy, I am supposed to answer only one question at a time. For the rest…

Q: Evaluate the integral 4-x² ^2+/4-x²-y² 2 (x² + y² + z²)³/²dzdydx -2 J-V4-x² J2-V4-x²-y²

A:

Q: 1dx. x In x

A: Explanation: Given that, ∫1xlnxdx Suppose  u=lnxdu=1xdxdx=xdu now ∫1xlnxdx=∫xduxu…

Q: Assume that after w months, butterflies’ populace in 1000 is calculated as: f(w)=12w+cos⁡(16w)+n×100…

A: Given: Butterflies’ populace after w months is given by f(w)=12w+cos⁡(16w)+n×100 in 1000 where n=824

Q: integrate the fallowin 4 (usın'sx lx

A: Given: The trigonometric identity that can be used to simplify the above expression.

Q: 1. Express into parital fraction. Hence evaluate y2 -4 *2-4

A: according to our guidelines we can answer only three subparts, or question and rest can be…

Q: Evaluate the integral. '3 4,3 3,2 dt -

A:

Q: Proved that cosh fas/ (cashZ+L)

A: To prove :  cosh2z2 = 12cosh (z) + 1

Q: How do you integrate z/(z+2) in terms of z?

A: Here, integral is,

Q: 8. Theorem h° = %3D

A: The figure given below represents the circle. From the angle subtended by the same arc theorem, The…

Q: 1 Integrate 1+25cosx

A: To evaluate: ∫11+25cosxdx Let, I=∫11+25cosxdx Since, we know that cosx= 1-tan2x21+tan2x2…

Q: d Find dt 4x – 2 dx + 20 4t x2 2 – 16t 16t2 + 20 4t – 2 t2 + 20 2 – 4t t2 + 20 8 64t 16t2 + 20 64t –…

A:

Q: Find the image of the point (-2,4) under the compression with factor ½ in the y-direction. O (-1,2)…

A: The point is -2, 4To find the image of point under the compression with factor 12 in y-direction

Q: 4014H al

A:

Q: dr 4 – z Integrate:

A: The given integral,∫54-x2dx

Q: nly.

A: Given equation is :  -√3 sin(x) + cos(x)

Q: Integrate: dr z2 + 4z + 8

A: We will integrate the above expression.

Q: Evaluate the integral. 0. LG + dt - -2

A: final answer is -5.619 detailed solution is given below

Q: Find the critical value zα/2 for α=0.05 Round to 2 decimal places.

A: Given data: α=0.05 Find the critical value zα/2 ( Round to 2 decimal places)

Q: First and second derrivative of: In(x^3y^2)=x^2+y^3

A: Given: ln(x3y2)=x2+y3 Differentiate the function with respect to x.…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.