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: (x+5)(x-10) :- (x-1)(x+1) (x-10)(x-6) (x+1)

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Q: рарer 2 4. -INDICES AND SURDS page 37 2017 J Q2 Do not use a calculator in this question. 9 V30 can…

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Q: 11 Compute x2+ where x =i- 1. Answer: 2.

A: We have to find the value

Q: Transformation of ₂F, : X A x If |x| < 1 and < 1; then: 2³₁ (a, b; c; x) = (1 − x)" ₂ F₁ (a.c-b;…

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Q: (b) Find a closed-form expression for Ak+1, k1, where 0 0 23 30 -18 -235 A 0 9

A: Given that Now the eigenvalues of A obtained from Eigenvector corresponding to .

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: \(d\) is a metric on \(X\). Show that \(\rho : X^2 \to [0,\infty)\) defined by \[ \rho(x,y) =…

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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: Tell whether each of the following questions is biased or fair. Why? a. What type of music do you…

A: Part(a) The correct option is option A. Because in option A has the  question does not make an…

Q: 10.) cos*x

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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: lhecocfficient al xinthelbinomial.cxpansion «drC2 – Bei) iis -1000 :B 1080 C 360 D 360

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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: ..... ..... If a and b are constants and lim asin(4x)-btan(8x) 3, x → 0 4xcos x+8sin(12x) then a-2b=

A: Solution is given below:

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

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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: 5.) a y= 9f(b(x4)) +k a, b,4, and k ex plain graph f (x) What

A: To find what does a,b,h,k represents while transforming a function by transformations from its…

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: 2-x Find the domain of f(x) = x2+18x-40 Ox|XER,x+20,-2) O xxER,x*-20,-2) O (xxER,x+20,2) O…

A: given  f(x)=2-xx2+18x-40

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: I llustrate with. the help oD examples? the yeflection principle

A: The principle of reflection is that when a ray of light is reflected from a smooth surface the angle…

Q: +² +++∞ 12,e-t, Evaluate lim + lat).

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Q: sinny -limy-1 y-1

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