Use Green's Theorem to evaluate: F.n ds where F = (Vx + 3y, 2x + 3y) and C is the 2x – x2 boundary of the region enclosed by y and the x-axis (oriented positively).

Q: 3x2-2 lim 7x²+3 X+ - 00 O a. 0 O b. 3 7 3 C. 7 O d. -. 2/3

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Q: Evaluate limz 100 13+15z 5z 7

A: Given,          limx→∞-13x3+15x5x-x2

Q: 21) Evaluate x3 +12x2-5x lim 5x

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Q: (p-6,p+6) = {x ER :|x -p|<6 } صواب خطأ

A: We have to find check whether given statement is true or false.

Q: (d) Using the result that Var (3)=0²(XTX)-¹ find Var(30), Var(8₁) and Cov(Bo, 31).

A: Using the formula for the variance of β^, we can calculate the variances and covariances of the…

Q: Determine the solution of the following differential equations: 3. (D5 − D3)y = 0

A: equation is (D5 − D3)y = 0 we first need to find the roots of the associated auxiliary equation then…

Q: S√√x²-4x² ex + 4x² e²x 2 X dx E

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: If A = {x:xEN, x is a factor of 6} and B = {x eN:x is a factor of 8} then find (i) AUB, (ii) ANB,…

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Q: Example: If)=e* dx, how small does n have to be to guarantee that (f)-T,(f) <10-³?

A: If=∫01ex-2dx If-Tnf≤10-3

Q: dy-2y=(x+1)" «lve therdifferential eguation 4. (X+1) XP

A: NOTE: Refresh your page if you can't see any equations. .

Q: 2021 + -x 8. lim %3D 20 +21 + v-x

A: Lim 2021+8-x2o+21+-x

Q: 16. The point (6, -5) is on the graph of y = f (x), what point must be on ay 2f(-x) +1?

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

Q: Use the simplex method to solve the linear programming problem. Z=4x₁-3x₂ + 2x3 2X₁ X₂ + 8x3 ≤ 42…

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Q: IP Q-P and P- -9 then (a(P,Q))(ƏCP-9)) - 1

A:

Q: VI +6- V6 lim Select one: O a 2/6 O b. D. N. § 2/6 OPO

A: The limit which needs to be evaluated is given by limx→0x+6-6x

Q: EXAMPLE V + 4 – 2 + 4 - 2 Evaluate lim Solution by direct substitution we obtain 0,

A: Limit which is to be evaluated is given by limx→0x2+4-2x2

Q: 16-2 Evaluate: lim +4 V12+-a dne O 2 12 3 14

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Q: > Question 2 TRUE or FALSE: The following are equivalent: r(t) = (f(t), g(t), h(t)) and r(t) = f(t)i…

A: Vector Representation

Q: x2 + y2 = 8 , x² + y² – z = 0 at the point (2,2,8)

A:

Q: 12 -9 V5r2 – 21 (а) lim I+3 1 + 2x – 15 (b) lim 10-т

A: We need to find following limits which can be calculated by simplifying the expressions and then…

Q: Vz - 3 lim z-3 z2- 9

A: We know,  limx→af(x)=f(a) a2-b2=(a-b)*(a+b)

Q: lim, 3-9(x) lim,3- f(x) lim,3+ f(x) lim, 3 f(x) = f(3) = lim,3- h(I) lim, 3+ h(x) = lim, 3 h(x) h(3)…

A: Given,

Q: s3 + 3s2 – 12s + 4 e) lim s-2 s3 - 4s x- V3x + 4 f) lim x4 4 - x x² + 4 – 2 g) lim

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Q: F Cn) =(Bn-2) 2nt1) (n-7) 1) Complete tble of values 2) Graph the fonchon inpaper.peancil shyle

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Q: 1. Prove whether 8 1 Σ(-1)+1. j2/3 j=1 converges absolutely, converges conditionally, or diverges.

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Q: 6. What cffect docs multiplying the coordinales of a figure by have The figure is reduced and…

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Q: sinny -limy-1 y-1

A: Given, limy→1 sinπyy-1   We have to evaluate the limit.

Q: 21r3 +15r2 What is the quotient of 49r3 + 35r2 15r- 24,2 15r-24 ? 3 r+3 7r(r+5) 7r(r+5) r+3 3r2

A: Given,  21r3+15r249r3+35r2÷15r3-24r215r-24  We have to find the quotient of above expression.

Q: Find the matrix corresponding to the quadratic form: - Q(x) = 8x² + 7x² − 3x² − 6x₁x₂ + 4x₁X3 −…

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