N Let y (0) X ~ Bin 0.3 {0.4

Q: Estimate f(1.08, 5.94) assuming that S(1,6) = 4, S«(1,6) = 0.5, S,(1,6) = –0.4 (Use decimal…

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Q: S x4X+1 2

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Q: f X~N(196,20), find x such that Pr(X < x) = 0.563.

A: Given data  X~N(196,220) Normal distribution with mean=196 and standard deviation =20 P(x&lt;X) =…

Q: 1 Find Vf if f = 2 /x²+y² +z?

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Q: Determine. '{F}. 4s2 + 3 sF(s) – SF(s) – 2F(s) = - s + 4s

A: Rewrite the given equation.

Q: b.) (x +3) : =(x +2) %3D 215

A: Here we have to find the value x=?  13x+3=25x+2

Q: (x + 5)/(x – 3) is NOT defined for x =   a. 3   b. 0   c. -3   d. -5

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Q: Let_Z1 = 3 + i and Z2 = 5 + 2 i . Find 2 Z1 /( Z1 - Z2) - (14/5)-2 i O (14/5) + 2i O - (14 / 5) + (…

A: Topic = Complex number

Q: (2x) y (2x+4) (3y+8) 7. mZP = mZR = %3D R.

A: Some Properties of Cyclic Quadrilateral In a cyclic quadrilateral, all the four vertices of the…

Q: Hw/ If 2x, - X2 + 3 X3=2 メi+3X2- メ3=11 2 Xー2×2+ 5X3=3 %3D Then Find The values X, X2

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Q: b. Маx z %3DX1 + X2 s.t. 2x1 + x2 < 20 X1 +3x2 < 15 X2 < 4 X1, X2 2 0

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Q: dy If y = (5x + 1)(2x +In x), then will be %3D dx (5x + 1) +) + 5(2x+ In x) A. -1 B. (5x+ 1) - 2. +…

A: The given problem is to find the derivative of given function y=(5x+1)(2x-1+ln(x)) , we can use…

Q: d.x 1 x(1 – In x)

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Q: (22) Let A = (-∞, -2] and B = (102, ∞).

A: Given A=(-∞, -2] , B=(102, ∞). Now, the union of two sets consists all those elements that belong to…

Q: Let F = (, , 2). Calculate div (F) and curl (F). (Use symbolic notation and fractions where needed.)…

A: We have to calculate  and .

Q: 6 Suppose s f(x) dx = 18 and f f(x) dx = 14 2 O 2 Find S ²fQ) dx

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Q: Compute f. F · dr, where F(x, y) = (8 + 21x², 4xy) and C is a line segment from (0,0) to (1,2). (Use…

A: Given F(x,y)=8+21x2,4xy2        (1) Line segment from (0,0) to (1,2) is y-0=2-01-0(x-0)⇒y=2x…

Q: Let 7 (t) = Find 7 (t) デ'(t) =D<

A: r'(t) =d(r(t))/dt

Q: X1+iy,=X2+iy2" ューx,○ X =X ,=y,O *ュ=ソ,○

A:

Q: * Let z1 = 2 + i and z2 = 5 + 2 i. Find 3 z1/ ( z1 - z2) - (12/ 10 ) - (3/10)i O (1/10 ) + ( 3/10) i…

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Q: 9. Find a calculus-based approximation for V10 – (.92)² –- 2(2.03)².

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Q: For x> 0, 음 S"규E dt = Itt? %3D

A: For x&gt;0, we need to find ddx∫1x11+t2dt. Leibniz's rule for differentiation under the integral…

Q: Verify the rule by differentiating. Let a &gt; 0.

A: the given rule is: ∫duuu2-a2=1aarcsecua+C where C is constant of integration.

Q: (5)Find x if. i. e* = 3, ii. Inx = 2 iv. 32-x = 27, v. 8x+1 32. %3D

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Q: P(x) = 1. Let x! and let H=10, Find P(9)

A: To find: P(9)

Q: fc xdx, over y = x 3 for0 &lt; x &lt; 3

A: Given expression can be written as: ∫Cxdx , over y=x3 for 0&lt;x&lt;3. We have to evaluate the given…

Q: Q2. P(A) = 0.42, P(B|A) = 0.66 and P(B|A’) = 0.25. Find the following – P(A’), P(B’|A), P(B’|A’),…

A: We have given information, P(A)=0.42 PB|A=0.66 P(B|A')=0.25

Q: 6. (x – 1

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Q: 6. + 6x) + (In x - 2)y' = 0

A: Given : yx+6x+(lnx-2)y'=0

Q: evaluate L-1 { t/(s-2)(s+3)}

A: By using partial fraction and table of Laplace transform we solve the given problem as follows :

Q: 3. Let 中- 3x3 ーy2 +4×y+2x-3y-5 find マ中 %3D

A:

Q: Let A = 2 0 and 1 -1 2 3. find A+(28)"

A: Given that A= 1201-12        and B=2-11103 find A+2BT

Q: 9+xm 6. 3x+2y < 0 yD mx:

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Q: Which function grows faster as O x → +∞ ? 3x¹ + 2x³ + 3x² +1 x³ ln(x² + 1)

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Q: X- (X)NI X 13g Tol tuods JadW (q )

A: Topic:- derivatives

Q: Ž ( – 1)"x" 1+x

A: Given the power series