j. What is |P(A x C)|?

Q: Describe the long run behavior of f(r) 478 – 5r + 5r + 2 As r → 00, f(r) → ? As r → 0, f(r) ? v

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Q: 6. Evaluate f z z* –8 dz. A) (x² - 8) +C B) a O b O d

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Q: f tan(z)dz C, = {z € C: -|= 5} CL

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Q: 5. If F (m, n) = m² – n² Find: a). F( (;) b). F(x+y, x-y)

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Q: df If f(x, y) = x² + 2x – 1, then 0. - ду True False

A:

Q: What is

A: Rational Numbers: A real number has the shape pq, wherever p and letter of the alphabet area unit…

Q: R. 4. P. ove that PR bisects ORN. ve that RÔS = PÂT.

A: Since solve the first question for you. If you want any specific question to be solved then please…

Q: af af a²f a²f a²f a²f for ду' дх' ду? ' дх?' дхду' дхду f(x, y) = ex²y + xy3

A: Note: Since you have asked multiple question, we will solve first question for you. If you want…

Q: D Express the interval in (a-k, a+R) aad 1 x.-alc.R I(3x+1)?(<!

A: |(3x+1)2| &lt;1 both side we take square roots |3x+1|&lt; +1 3x+1 &lt;+1 3x+1&lt;1    or    3x+1&lt;…

Q: Show that (a) x(t) * 8(t) = x(t)

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Q: Q2: Prove that: d csc-(InVx) dx -

A: The main objective is to prove ddxcsc-1lnx=-12xlnxlnx2-1. It is known that ddxcsc-1x=-1xx2-1.

Q: Q3) If f(x, y") = x + y? + Vãy find: af(x²y) and Ty) ду afxy)

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Q: Determine the dimensionalitics of all the irreps of D4 and D6 where De D3 x C2

A: We will use the basic knowledge of irreducible representations of finite groups to answer this…

Q: Find P(X is lesser than or equal to 1, Y=1).

A: We have to find the P(X ≤ 1, Y = 1)

Q: [38] Evaluate f, 40yds where S is the portion of y=3x2+3z2 that lies behind y=6.

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Q: Let T: P2(R) → P2(R) be defined by T(p(x)) = p(x) – 3p'(x). Given that T(1+x + x?) = a + bæ + ca²,…

A: Solution:

Q: Let f(x, y) = 160 2x2-3y² 2a? – For which value(s) of y is f(4, y) = 10? y =

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Q: 3. Use the Argument Principle to show that (a) f(z) = z + 1 has one zero in the first quadrant, and

A: Given: f(z)=z5+1

Q: f(x, y) %3D (x? — 2у?)5 2y2)5

A: Consider the given function fx,y=x2-2y25   Partial derivative of f with respect to x…

Q: The phfhenn f()--e-7 has verter at and opens OA- deed O (-2 ped Oadwed

A: Given data: The given expression for the function is f(x)=-x2-4x-7. The given expression can be…

Q: In(x – y) Find and sketch the domain of f(x, y) V9 – x2 – y? . Vx² + y? – 4

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Q: 4. Determine whether the following statements are True or False? y = f(x)

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

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Q: (c) Will it always be true that W C X f(W) S (X)?

A:

Q: (c) For what value of t is p(t) = n(t)?

A:

Q: Given f(x, y) = 4x³y², evaluate f(1,y) and fy(x,2).

A: We are given a function: f(x,y) = 4 x3y2 We need to find the partial derivative of the given…

Q: If price P is bigger than AVC, the decision for the firm is to continue production even at a loss. O…

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Q: Q7. V(x, y) = x³ + y³ and x = 2t +r,y = 2t – r , what av? is ? ar

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Q: Q/ Let x~P(m) and let y = 5x , find the p.d.f of y

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Q: C6. You h drinki a. Ac sam as t Con b. You seve coni the of a

A: a. As the sample size is really high, we can assume the z distribution. The value of z at 95%…

Q: Describe the long run behavior of f(t) 3t° + 3t – 4t2 – 5 As t → – , f(t) → ? As t → o, f(t) → (?

A: Given the function f(t)=-3t8+3t5-4t2-5. We need to find the long run behavior of the function f(t)…

Q: In(x – y) Find and sketch the domain of f(x,y) = 9- x² – y? . Vx? + y? – 4

A: The denominator should be non zero  The quantity inside the square root should be non-negative  The…

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

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

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Q: Evaluate F· dī where C F = = , and C is given by - T(t) = , 0 < t < T 0 <t<

A: Given

Q: show: o f(2) dz f(2)dz (Z-Zo) (C) (2-20)2 (C)

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Q: the rAm t twico a and b A Jumby! f(x]=X-/ a(x)=5xj What is tglx)?

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Q: What is the degree of f (x, y) = 2y + Væ² + y? ? O 1 O 2 O 1/2

A: We can solve as follows

Q: (a) What is the support of Y? (b) Find P(Y = 2).

A:

Q: If f(s,t) = 2scost + 3tsins, find ,.

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Q: d²y If dx2 -n?sinnx , (y" = 0,y = 0 when x = 0), then: %3D

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Q: dx Evaluate f x2V4+x?

A: Given:          ∫dxx24+x2   Perform trigonometric substitution:      substitute x=2tanu→u=arctanx2…

Q: WY is a midsegment of AUVX. If UV = p + 3 and WY = p + 1, what is the value of p? W V Y U p =

A:

Q: What is the degree of f(x, y) = 2y + √x² + y² ? 01 00 O 1/2

A: what is the degree of f(x,y)=2y+x2+y2 degree: it is the highest power of function

Q: Let d: R2 × R2 →R given by

A: A metric space is a pair (M,d), where M is a set and d is a function M×M→R satisfying the following…

Q: let fho=3*-1지 , t E=(12] 州 fefE)?

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

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Q: Given z = r2 + s2 + rst, r4 + s4 + t4 = 2r2s2t2 + 10, find (∂z/∂r)t when r = 2, s = t = 1.

A: Given, z=r2+s2+rst r4+s4+t4=2r2s2t2