Find w, where w3 = 1 + i. i? = -1.

Q: If f(x,y) = x In(2y³ – 5) + y e* , find ! of and ôx ây

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Q: Find the value of c such that S xe = 3.

A:

Q: That is, T'(1) = %3D

A: Given, a recurrence relation T(n) corresponds to the natural numbers, but that "skips" multiples of…

Q: Find the B.C.R let XXgg, Xn vN (@,1) H:0-2

A: We have to find the best critical region which we will find by using neyaman Pearson lemma.

Q: Solve for x, where u = (1, −1, 2), v = (0, 2, 3), and w = (0, 1, 1). 3u + 2x = w − v

A:

Q: Given u(x, t) =t=?e, compute: e 2t

A: We have to calculate uxx of the given function.

Q: Consider T(r1,12, Ia) = (371 – 212 + 4ra, I1 + 273, 12). Find T!. %3D

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Q: f(x,y)=ylnxsinx, find fxxxxxy(π,1). Keep your answer to 3 significant digits.

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Q: M K.C. aw Мо (1 - К-аш)- (1 — К-аш + С. К.аш)

A: Given,            MM0=K·C·aω1-K·aω·1-K·aω+K·C·aωTo find : Derive the equation for C.

Q: Find the value of c such that E enc = 8. %3D n = 0 C = 8.

A: We have to find the value of c.

Q: Given F(r, s, t) =-r(8s³ +t³), compute: Frst

A: Given  Fr, s, t=-r 8s3+t3

Q: If "u" varies directly with "v," and u = 6 when v = -7, what is "u" when v = 4? Enter the number…

A: u varies directly with v  u=6 when v=-7 To find u when v=4.

Q: Evaluate SSDY²+ 3x d A where Dis (egion in the between x°ty3sl and X?+y²-16 3rd quadrant

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Q: Evaluate ze -dz, where C is z+ 2 ((+2+2)?

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Q: If ds dt Vst , and t = 0 and s = %3D 1, find s when t = 9. A. 81 В. 100 С. 121 D. 144

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Q: Q3 Evaluate fII, xyz dxdydz, 3 < x < -2,0 < y < 1,0 < z S.

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Q: 3. Find the following. * dw if w = (2² + y) {/2z – y ду |

A: We have to calculate the partial differentiation of the given function with respect to y   The…

Q: To + w -dw Find

A:

Q: Find H(−2) and H'(−2), where H(x) =

A: Here we have;  H(x)=∫-2xduu2+1

Q: ~(QヘP)=P v~Q =P V ~Q ylgn ihi

A:

Q: If u = (u, uz) and v = (V1, V2), how do you find u + v?

A: Given: u=(u1,u2)v=(v1,v2)

Q: Suppose that a?y +xz? = 3 and let u = -r³. Find the value of du when (x, y, z) = (1, –1,2). dz A) –2…

A: Given that: x2y + xz2= 3 and u=-x3 and (x,y,z)=(1,-1,2). We find du/dz ot differential with respect…

Q: define: Y ~ N„(µ, 0²I) and µ= (µ1, H2;. .. H)'.

A: Given: Y~Nnμ,σ2Iwhere μ=μ1,μ2,...,μn'

Q: H.W Find Iy, lo, Rx, Ry, Ro, x and ỹ

A: Sol

Q: Compute for the following equation: ax x2 + y? + z? = 3xyz

A:

Q: If u = x²zî + yz?j – xyk and 0 = x²yz then find the value of u. (To)

A: Consider a function fx,y,z. The gradient of the function can be defined as, ∇→f=∂f∂xi^+∂f∂yj^+∂f∂zk^…

Q: E, where 'C' i-

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Q: S T6 dar = tan-i +C 1 –1 16+z2 4 True False

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Q: Which of the following equations determines E(XY)? »(x, x y (х, у) ,(x,

A: we have to determine the correct option of E(XY)

Q: dt Determine dw if t = (6r* +3r*) -(*+2r-5)'. -s)'. and w =

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Q: What is the relationship between ZW and ZX? 3,

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Q: Use the substitution u = (x – 1) to find S Tx-1) dr, |(x-1) giving your answer in terms of x.

A: Substitute as given in the question Take the derivative on both sides to write it in differential…

Q: S g find Ju u and av Write the anuser in terms of U ty D Using the chain rele and V 2 to

A: Answer

Q: du ди Find and ds u = x• e'¨: u =x•e" ;x = In(s·t) , y = } , = = s² + ? . 2 ,==s² + t

A: According to the problem, we have

Q: a2z + əx2 a²z If z = In(x? + y²), find ду?

A: Find ∂2z∂x2+∂2z∂y2.

Q: as Find w = 1° + 2y? I = r - s; y=r+2s2

A: Given:w=x3+2y2x=r-sy=r+2s

Q: Exl Let c R,Z) be usual toP s Pace and A-fcxy)ER/ x²+y²< 13 find A Ext CA), Ā , A°

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Q: Solve for x, where u = (1, −1, 2), v = (0, 2, 3), and w = (0, 1, 1). 3x + 2u − v + 2w = 0

A: The given vectors are Let the vector x be

Q: Iff = xi + yj + zk, F| =r,and i =, then show that grad -)

A: r = (x2 + y2 + z2) 1/2 . Then, we have to calculate the grad( 1/r ).

Q: e EC QP] × U di © T

A: Visitors from Jan Feb Mar Apr May Jun Tot SA 15 8 C D 9 5 66 Abroad A 3 13 26 4 6 62 Total 25…

Q: (b) Evaluate at the point (s, t) = (1, 2). Əsət

A: As per requirement, we we solve part b) only Given function is z=fst-3,s2+t3 f1-1,9=3, f2-1,9=7,…

Q: If = =x - xy + 3y and (x, y) changes from (3. - 1) to (2.96, - 0.95), compute the values of A: and…

A: Given that            z = x2 - xy + 3y2 and (x,y) changes from (3,-1) to (2.96, -0.95). We have to…

Q: If AB 12 centimeters, OE = 4 centimeters, and OF = 4 centimeters in O0, find CF. %3D E D F

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Q: Find AT, ATA, and AAT.

A: Given: A=13-1

Q: Find AT, ATA, and AAT.

A: Given: A=3-120 we know that for given matrix X=abcd , XT is given by XT=acbd similarly, AT=32-10

Q: ue of a and c are and

A:

Q: If z f(x,y) and z - y? = 6x?y°z? Find:器,需 and dz

A:

Q: d' y Let y? 4x, then dx %3D

A: given  y2=4x differnciate with respect to x 2y dydx=4 dydx=42y=2yagain differntiate with respect to…

Q: (b) If y=ae", express t in terms of a and y.

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.