aF1 F. dr = -3 in D, use Green's Theorem to determine Jc, aF2 Referring to the figure, suppose that p F. dr = 16. Assuming that Jcz ду C2 D.

Q: Q/ Let X be the r.v such that E (X) = 2, E(X²)= 2a , E((2+ aX)?) = 2a3 %3D %3| Find the value of a .

A: The formulas are as follows: Let c denote the any constant variable

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A: Given query is to find the degree of function f(x,y).

Q: Hew. O find the root of PW=R-1)e_1 sush that I f cast < Ix 65 , we NiP.M.

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Q: Which method can be used to justify stating that A FGH= AJKL? G K Your answer: SS SAS ASA AAS HL…

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Q: B. GIVEN: BF 1 AC,DE 1 AC, AB = DC, AE= CF. 18. PROVE: AAFB =ACED. F A

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Q: Let z = 2eiT/3. Which statement is not correct? %3D (a) Re(2) = 1 (b) Im(2) = -V3 (c) |z| = 2 (d) Zz…

A: Properties of Complex number

Q: u= e^ if taken dx fluldu= glultc %3D respectively f4)=7,841=? as

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Q: ework: dr if r= Vs+1 and s=16t – 20t. dt Find |

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Q: SV is a midsegment of ATUW. If TU = 10z + 80 and SV = -4z + 49, what is the value of z? T U V W Z =

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Q: R V In ORSTV, VT RS = 4(x 3x 1, TS 2х + 1, and %3D 2). Find the value of x.

A: Parallelogram: In a parallelogram opposite sides are equal. In parallelogram RSTV , VT=3x-1, TS=2x+1…

Q: dy If dx and y(2) = 5, then y А. х2 — у? %3D —-21 В. х2 + у? %3D 21 С. у2 — х? %3D11.5 D. x2 — у?…

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Q: (c) Find A fo given that fo = 79, f1 = 120, f2 = 150, f3 = 190, f4 = 201, fs = 218, f6 = 250, fr =…

A: We know that  △fi = fi+1 - fi ∆2fi = ∆fi+1-∆fi and so on

Q: 3 If f(t) =e3t , then L{f (t)} s-t ulgn ihi

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Q: In ADEF, DE || GH. Given that FD=33, DE=44, and GH=28, find fG. F FG = I %3D

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Q: EX:- Show that dw Vす 2. の ē" dw fcb)-VEerfa) %3D e dw ei

A: Using error function erf(f) .

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Q: Find Duf at P. f (x, y) = 3(4 +xy)2; P(4,3); u = 1 i+ j NOTE: Enter the exact answer. Duf

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Q: p* + 51³ + t² + 5t + 5 -dt = 1? +1 (Type an exact answer, using t as needed.)

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Q: Q/ Let X be the r.v such that E (X) = 2, E(X²)= 2a , E((2+ aX)?) = 2a3 Find the value of a . إضافة…

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Q: 2. ADEF is isosceles with DE = DF. mZ1 82°. Find H. 12 1 3 F d. mZ2 e. m23 G

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Q: In ADEF, DE || GH. Given that FD=28, FG=12, and GH=15, find DE. D E DE%3D H. F

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Q: Į va | Vi(t? + 6t +7) dt. 4. Find

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Q: dp For p(q).= q¯³, dq -3 dw For w(u) = u7, du %3D %3D

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Q: t Given that A =| u and det(A) = -5, evaluate the following: a. det(A) = b. det(AT) = С. det(3A) =…

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Q: Using the method of substitution, | 2? V9x + 7 dæ = | f(u) du where u = du dx a = , and f(1) =

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Q: EX:- Show that f dw = VE Terfcb) -erf ca] (ntb dw = E [erfcb) -erfca)] (ngby. Sol:- 9. ē" dw 2. Ff…

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Q: Differentiate. V(t) = (t + 7e')/t %3D 3 7/)eIn(e) + v7 * V'(t) = 2

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Q: 2 HA=A-tj + (t – 1)k, B = 271 + 6Ak, find (a) (A - B) dr %3D

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Q: F. If F = CC) + 32 then 65 °C = %3D %3D

A: We have to find the °F

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Q: ||r'(t) x r" (t)|| Use the formula k(t) to find k(t). r(t) = eti+e*j 42 est K(t) %3D (36 el2t +…

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Q: In the diagram, AB and BC are both tangent to O P. Determine the value of x. 2x + 7 31 12 19 26 31…

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Q: F• dr. Ic Evaluate F(x, у) %3D хуі + 8хyj C: r(t) = t?i + t²j, 0 sts1 %3D

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Q: The conversion from Fahrenheit to Celsius is C = (F – 32) %3D 9. Find F in terms of C.

A: In this question we have to find F in terms of C.

Q: For ORSTV, suppose that RT = VS. State an equation that relates s, t, and v. V (t, v) T (s + t, v) R…

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Q: Show that if (x.g) m. is re<rz, it is 8lx,r) C Blx,g) for x Ex. U.

A: Metric or Distance: A metric or distance is a function ρ :X×X→ℝ such that ρx, y represents the…

Q: S g find Ju u and av Write the anuser in terms of U ty D Using the chain rele and V 2 to

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Q: (b) Find A° fo given that fo = 3, f1 = 12, f2 = 81, f3 = 200, f4 = 100, f; = 8 %3D %3D

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Q: Find r'(t) r(t) = e-ti + 7j + 4teck r'(t) = (No Response) Need Help? Read It Watch It

A: Let's find derivative of given function.

Q: (c) Find A? fo given that fo = 79, f1 = 120, f2 = 150, f3 = 190, f4 = 201, f5 = 218, fe = 250, f7 =…

A: We will find out the required value.

Q: Jv²esc?(y³)cor²(y³)dy, we let u = cse(y³) A True B) False

A: To solve the following integral by substitution

Q: d. Let g(r) = r sec(r) Find g'(r). 57 JAZL

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Q: Evaluate F-dr where C is represented by r(t). C F(x, y)=xyi+yj C: r(t)=28ti+tj, 0≤t≤7

A: To find ∫CF·dr

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A: Given F is a null set, i.e. F=∅ We need to find the arbitrary union of null set, i.e. ∪F

Q: Find r(t) if r'(t) = ti+ efj + 2to2t k and r(0) = i+j+ k. r(t) Need Help? Read It

A: Given data is: r't=t2 i+et j+2te2t k r(0)=i+j+k To find the value of rt