Q5: For which values of z is w =1/(z - i), defined? For these values obtain u and v and evaluate w when z = 1– 2i. *

Q: 1. Express the followings in the form of x + iy where r, y E R.(choose one.) (a) 금+ 부 (b) ( + ) ( –…

A: Rationalise  all the term and calculate to get the final answer.   Actually as per the barteleby…

Q: ) GIVEN: The function f:[0, 7] → R, f(x) = sinx + 2 cosx Find the set, A, of critical numbers for f

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Q: f(x) = sin nx OKKI, > n such that If exist KEIN If₁a) - foxil < 10 Ans. K =11 / does there K and XE…

A: The given function is fnx=sin nxn, 0≤x≤1 To find: the value of k.

Q: in term of t, if w -+, x= cos t,y sint and z in term of t. if w = xy, x = cost and y = sint, whent=.…

A: 4. Given data is : w=xz+yz , x=cos2t , y=sin2t  and z=1t To express dwdt in terms of t

Q: Lw(s) ~ 1 – Show that 1 is MTTF where

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Q: Given t2 – 16 dt 1 + cos2(t) At what value of x does the local max of f(x) occur? f(x) = , 1+…

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Q: aw and ar Q2) Find if as w = 2x + 4y - z, r+s X =r tan (s), y= sin (r - s), z=e**s.

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Q: Let =)4.i8 0<x<1 f: [0,3]-R defined by fo %3D 3,if X=1 5, if <X< 3 show that feBra and thab fa.dx =…

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Q: 2スゴ+メリ+タJ=0 condition

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Q: Q6. Let w = f(r,0), r = √x' + y³, 0 = tan'(y/x), ), find aw ?х > and ди ду in terms of r and 0.

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Q: C. If w=f(x,y) and x = r. cose, y=r. sine. Prove that aw ar aw +1 (2001) = fx² + fy²

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Q: liid, find a for 日 If X、,メ。,X Xu are Complete s ff arat statistic for 0 if:-

A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…

Q: J32 For z = cos(x-4y) show that # дудхду 332 дугах

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Q: O Verify that you (-00, os). Cos (zt) is a salution to y"- Sy= -9cos(2€) on

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Q: [AFE] Given, y = V1+ cos (x²) Find by using chain rule.

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Q: t-4 - Given s(t) find s'(t)- t+3

A: st=t2-4t+3 take derivative s'(t)=ddtt2-4t+3 use the quotient rule fg'=f '·g-g'·fg2

Q: _1. Differentiate the following w.r.to x (i) V(x? + 1)3 .3,-2x (ii) + In (3x + 1)

A: Using derivative ,

Q: The function f(x) satisfies the hypotheses of the Mean Value Theorem on %3D cos(z)+1 Select one: a.…

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Q: 6. Give method for finding UMPU test for f(r1,.R:01,02, .. 0k) = B(@)e£0aip(x) and 61 = 6o Vs 01 >…

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Q: 6. If f(x, y, z) = r³y³ sin (z²)+z³ cos (r³), find an expression for fryz and evaluate it at the…

A: x, y and z are the variables of function f Differentiating partially the function f with respect a…

Q: 6. Let f(r) = -a cosr. With po = -1 and p1 = 0, find p3; %3D

A: f(x)=-x3-cosxp0=-1p1=0To find:p3=??

Q: 2- find Ow/ar if w = (x + y + z)?, z = sin(r + s) y = cos(r + s), at the point (r, s)=(1, -1) X = r…

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Q: Use the variation of parameters to find the general solution of the following ODE. z'' + z = tan2 x

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Q: For which values of z is w =1/(z – i), defined? For these values obtain u and v and evaluate w when…

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Q: f(x) = x³ – c to answer rval(s) on which f(x) is ir

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Q: Find the I-coordinate e a Hhe ocal monimeno 07 local makimum of 7 qunction n 7ux)=e? (2x²+3x), x ER

A: Second derivative test : Suppose f is continuous  and differentiable function at x=a where f'a=0 and…

Q: 6. If f(x,y, z) = x³y³ sin (z²)+z³ cos (x³), find an expression for fryz and evaluate it at the…

A: Given f(x,y,z)=x3y3sinz2+z3cosx3 To find: fxyz fxyz at (1,1,π)

Q: If fiß->(0,4) and I 9s an interval on which fhas both values, then t has Oi discontinutty 9n I,

A: Consider the given information. f:R→0,1 As given I is an interval on which f has both values. If f…

Q: R² and r are defined by SR E(*; – T)(yi – ỹ) Say R? SST' r = VE(x; – #)² L(yi – g)² (1) Show R² =…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 2. From each u(x, t) compare the temperatures of Case 1 and Case 2 if n = 2, x = 3 ft and t = 1.5…

A: 2.  Given, the values n=2, x=3,t=1.5. The heat equation given in case 1 is  ut=1.5uxx, 0≤x≤6, t&gt;0…

Q: Find the linearization of y = evx at x = 36. (Use symbolic notation and fractions where needed.)…

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Q: 1 f f(x) = : R → R, Vx2 – 4 At how many different integer points x is discontinuous? 25 - O A) 3 O…

A: We have f(x) = 1x2-4Clearly f(x) assumes real values for all real values for all x except for the…

Q: which method/s will help integrate this? SELECT ALL APPLICA A) u-sub with u = tan(z) B) / tan*" (=)…

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Q: Q2// I= f, (x² cosx) use Simpson's 1/3 rules, with n=4.

A: We have to find the integral using Simpson's 1/3rd rule. In first question there is not equal…

Q: =Xtanx dk, Prove that ="IH (n+1)I,+(n-1) -1 T 1 2 n

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Q: メpr t! prove that : d = (s«k-tank)

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Q: Q3) for f(t) = sec-(6t- 1) and g(t) = tan (6t - 1) show that s'() = g'(t). %3D

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Q: x'y=x'+ xy. linear DE Which value of k, the given DE will be homogenous?

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Q: x* dx 4. Evaluate with Simpson's 1/3 rule using two, four, and six panels.

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Q: Sind for fca)= Sど+る)(コxー4) by Loyari thim differendional. use

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Q: 3: The volume Vof water in a spherical tank of radius R is related to the depth h of the water by:…

A: As per the guidelines I'm able to give you only one answer because this question is not a…

Q: Find all values of x on the interval L0,27) that ssue the following equabion coslex) +sin(n) -l=0

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Q: H. If g(z) e2*z In , compute g'(r). What techniques should you be using in this %3! case?

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Q: Q1. Consider the two different losses: (i) zero/one loss where Ai dij = 1 and (ii) generic loss…

A: Given Consider the two different losses: (i) zero/one loss where A₁ = 0 and Aj = 1 and (ii) generic…

Q: Q5: Find the Z-trans form of the following: Hint: af(k) = F (=) a) x(k) = 2k ek b) x(k) = e-k sin wk

A: Z transform of 1 is: ∑k=0∞1.Z-k=∑k=0∞Z-k              =Z01-Z-1              =ZZ-1

Q: 3 (a) Given that T= 2n12g , express I in terms of T, g and n. %3D

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Q: please solve this question

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