If f(s, t) = 2scost + 3t sins, find &.

Q: If (5f(x) + 4) dr = 3, then S f(x)dx = %3D

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Q: Ex:- If X~ Bin(n,P) If Mx= E)= 2 V(X) = 1·2. noP, P(X=\) Find

A: It is given that EX=2 and VarX=1.2 Therefore EX=np=2 and VarX=npq=1.2 Therefore VarXEX=npqnp=q…

Q: Then P(X+Y<3) is

A: here given  joint probability distribution of x and y  f(x,y )= 18(6 - x - y)  ,  0&lt; x&lt;2  ,…

Q: let x~ exp0), find B.C.R to test Ho: O3 against H,: 0 2,if4, ds o.05,

A: Exponential distribution: Here, X1, X2,,…, Xn, are iid (independent and identically distributed)…

Q: If ø = Vx + y+ z and ū = 'î + ĵ+ k , then V¢.ũ will be 3 V3 20 2ф

A: Step:-1 Given that ϕ=x+y+z, u→=i^+j^+k^ ∇→ϕ=∂∂xi+∂∂xj+∂∂xk x+y+z ∇→ϕ=12x+y+zi +12x+y+zj…

Q: Show that E[X]= a +V and o = b 4 4 -

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Q: s paces Xand y, then both T and Ta boanded op erators are

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Q: 9. If y = V-|x|, then D =

A: We can differentiating given function in the in particular domain.

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: If VZ = p + 26 and WY = p, what is the value of p %3D W V Submit

A: We will use similarity of triangles and the fact that the sides of similar triangles are…

Q: Q1/ If z = e*?y, x = Vuv, 1 y = Find: əz а- ди az b- dv

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Q: Starting with C = A + B, show that C × C = 0 leads to A × B = −B × A.

A: Given: C=A+Bif C×C=0, then A×B=-B×A

Q: dz If z(x, y) = x²y, æ = 4, and y = u³ v², find du

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Q: If →               →       v = (x, y), || v || = 4, and →           w = (−2x, −2y), then →…

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Q: If (x, y) = (-V3, 1) , then find r and 0.

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Q: If o² is unknown and X = 15 , S= 5 , n= 100 , a= 0.1 to test Ho : µ= 10 VS H : µ >10 , the correct…

A: Hypothesis testing  Hypothesis testing is conducted for the parameters of population, like…

Q: If z = In /x? + y? , find x- X +y В. 1 С. D. Vx? + y? A.

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Q: ate f(c(t)) and ds = ||c'(t)|| i te Sc ƒ(x,y, z) ds.

A: Introduction: A line integral is a type of integral in calculus in which the function to be…

Q: find Lenjth f aueetors =く3,-S,l B=くW5> ジ,37 ond く2>

A: Given:- a = &lt;3, -5, 10)&gt; b = &lt;1, 5&gt; v = &lt;2, 5&gt; w = &lt;2, 1&gt;

Q: Find when r = 2 and s = 0, if: as z = xy² – x – y x = y = ers 1+s

A: Here given that z=xy2-x-y, x=r1+s,y=ers So, ∂z∂s=∂z∂x∂x∂s+∂z∂y∂y∂s        =y2-1-r(1+s)2+2xy-1ersr

Q: If z = xye», x = u · 3“, and y = u · v², find dz when u ди 2 and v = 5.

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Q: dav dyt if va (x*+y*+z) Show that d'v

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Q: If S(x, y)= x² +y , find f, and f, . %3D Vr

A: Fx is partial differentiation of F with respect to x.

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

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

Q: we Show that far Re (2) >1 c= r(2) J(2)

A: The given problem is to show that the integral is expressed as the product of gamma function and…

Q: af af and for dy 5. Find f(1, 9) = 1+2² + y²"

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Q: B = {(x,y xs2, -a sy s3, 0£21} SS, x*yz²dV 2 'B

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Q: If S,° f(x) dæ = 12 and S,' f(x) dx = 3.6, find

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Q: If i = xi+yi+zk then grad (r") is equal to

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Q: If F (s) = (s+2)2+4 , then

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Q: Only F, H and J please.

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Q: a) By using the substitution u = √√x +3, evaluate S. 2 √(√₁ + 3)2 d. dr.

A: Given, ∫142xx+32dx

Q: Please asssit with value for ****,*****, ****** a

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: If UV = 2p + 28, WZ = p + 43, and XY = p + 57, what is the value of p? %3D V U W Y %3D

A: In trapezium UVXY, Z and W are in mid points of sides UY and VX. So, length of WZ will be the median…

Q: If s=5√t+4, then ds/dt =

A: Given s=5t+4

Q: rる= く6t, 32も,2>, Fiup もる エF TE AND WHEN t=1. AND

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Q: 8. If DE = 16x - 3, EF = 9x + 11, and DF = 52, find HG. %3D D F

A: All the side of rhombus are equal .anf  digonal bisect each other at 90°.

Q: If S(r) = 4r and D(t) = 2t + 5, find (S D)(1). %3D

A: Given:S(t)=4πr2D(t)=2t+5 To find: (S∘D)(t)

Q: b. L, S, Svª yz tan xdxdzdy

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Q: 7. If WX= 14 and WR = 8, find RZ. W Y R:

A: We use pythagorus theorem for right triangle to find the side XR and it can be seen that RZ=XR

Q: If f(x, y) = e + e", then .Vf(x, y) = (0, e') :Select one TrueO False

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Q: If MZTUV = (9x + 1)°, m<TUW = (7x - 9)°, and mzWUV = (5x - 11)°, find the value of x %3D T W U V

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Q: = , where C is W 19

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Q: swer j and

A: The following null and alternative hypotheses need to be tested: Ho: p = 0.24Ho:p=0.24 Ha: p…

Q: Q3) If f(x, y?) = x² + y2 + Vxy find : af(x²,y) and f(x?,y) ду

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

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