For what valunN vt c iv le (1, 2,3) | - 1 ? A. 14 B. -J14 d. tJ C. į J 14

Q: Let f(z, y) = zy-y+a?. D.((1,2) =? where u=. OA- O B. -37 Oc- 37 OD.

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Q: Let D, ECC be starshaped w.r.t the same 2, E DnE. Show that DUE, DOE are starshaped.

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Q: +++++ ++ + 2 riecononi ni bilw no elV us led (Jq 1) () ++++ dordw go alnoji vas da 1 (1g 1) (b) YOe…

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Q: Flgure ABCED Is simllar to figure VWXYZ. 1.2 m1.2 m A 4 m 1.6 m 2 m 3 m 3 m 1.6 m 4 m V xm W Which…

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Q: b) IJ 3D 10 ст, НА %3D 11 ст 55° H 25° J 140° В 60° K AK =

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Q: H. 50 MLLKI = %3D 188 mīJ = 46

A: The measure of arc KH⏜=188° The measure of arc HI⏜=50° The measure of ∠HJM=46°

Q: Consider T(r1,12, Ia) = (371 – 212 + 4ra, I1 + 273, 12). Find T!. %3D

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Q: e R?, whe W -) at the poi hen the valu

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Q: What is the approximate length of RS with endpoints R(2,3) and S(4, –1)? A 1.4 units B 4.0 units 4.5…

A: Distance between two points can be calculated using below formula if there co-ordinates are known.…

Q: Give an e xam Ple of (T, m') ameasurable SPa ce F; x → T {E & CX : fCE) ET3 m is not

A: Given, Τ, m a mesurable space fi:X→Τ , m=E⊆X: f(E)∈Τm is not a σ-algebra on X.

Q: SS * dydx, y In x Where R is the rectangle 1 sx s e,-1sys2 Calculate

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Q: Which of these are closed regions? D.|Arg z|1 F.-1<I'm z<=1

A: D. 1)arg(z) is the angle between the line joining your point z=a+ibz=a+ib and the origin, in the…

Q: find the missing measure of H,Z, J?

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Q: et f(r, y) (-(4r + y)) Then %3D ardy

A: The given differential equation is: f(x,y)=-(4x+y)7

Q: 9. If JG = JF, GD = 13, and mCD 136', find each mneasure. %3D ED = CF = D. mED 3= mHD = mCE = %3D

A: Topic: geometry As per our guidelines we are supposed to answer only one question. Kindly submit…

Q: If z = In /x? + y? , find x- X +y В. 1 С. D. Vx? + y? A.

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Q: Ql if (x,y,z) =o and Z"=x+Y find d2 (using di f Beren tials concept)

A: Given  If f(x,y,z) = 0 and z2 = x + y

Q: Q5.Given that W = f(x.y.z)% x+2y+, find : aw aw in terms of s and r, if and x=, y=r +Ins, =2rr.

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Q: Show that d(y,u)/dv = (1– v²/c)3? for y, = 1//1- v²/c?. %3D

A: Given: γv = 1/1 - v2/c2

Q: -x2 +y ar 49 xy plane: y? x 25 y? plane: y? as 49 2.

A: To sketch the graph of: -x29+y225-z249=1.

Q: Evaluate tet? + y* + z* dv, where E is the portion of the unit ball x2 + y2 + z² s1 that lies in the…

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Q: if x? + y? = 4 then prove that = d'y dx %3D

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Q: s) Given u(r, s) =r2 - 2s2, wheter= and s = y? - r, compute for du

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Q: If v equals u +at.Find t when v equals to 18,u equals 9,a equals 2?

A: The given equation is v=u+at. To find the value of t, we have to substitute values of other…

Q: If Fu,y, z) = xzi + xyzj =ý k, find v.È %3D ........

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Q: Trapezoid TRAP has median MN. 10. If mLT = 60 and mLA 150, then m LP ? and m LR %3D 11. If PM 15,…

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Q: Circle correct choices from among Y, N, Proof, and Witness and provide below a proof or witness as…

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Q: Given: y2, = uv4 + w*, y = u + ve"| z Find when u 1, v = 3, w = 0

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Q: Calculate ffs f(x, Y, z) dS For x? + y? = 16, 0 <z< 7; f(x, y, 2) = e Sls f(x, Y, z) dS 4pi(1-e^-7)

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Q: O The madices of cervadere af r= éat any poind Y, is (@) r?VTt (b) rvite? (C) Vitaž (d)

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Q: R and r are defined by E(r, – 5)(y – T) Sry VS., Syy SSR R2 r = SST' (1) Show R? = r².

A: If y = a+bx is the linear equation  Correlation attempts to measure the strength of the relationship…

Q: Given Yy - y = – ỹ Yy - y + y. - ỹ and (y — У )? [(Yj – J,) + ỹ, – ỹ )]² 2. %3D

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Q: du ди Find and ds u = x• e'¨: u =x•e" ;x = In(s·t) , y = } , = = s² + ? . 2 ,==s² + t

A: According to the problem, we have

Q: In the diagram below, PR and QS intersect at T such that PQ|| RS . If PQ=6, PT = 8, TQ=7, and RT =10…

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Q: Given a tuuo Varialle findio ulm,t) =_\ _ė K ù a contant 2 show that du kou Ž Evalnati S uln,t) dm

A: The given function is: u(x,t)=14πkte-x24kt

Q: Je b. Find of f(x,y) = ye*"? ax' ay %3D

A: Use logarithmic differentiation to solve it.

Q: Given f(r, y, z) = In(x² + y? + 2²), show that af, f, s dy? %3D dx² x² + y? + 22

A: The given function is fx,y,z=lnx2+y2+z2........(1) To show: ∂2f∂x2+∂2f∂y2+∂2f∂z2=2x2+y2+z2

Q: Q5/ If w = f(x,y),x = rcos0,y = rsin0 show that: af af 5² + 1 dw Əw. -)² + ar r2 a0 дө

A: The chain rule can be used to calculate the derivative of the complex functions. The function which…

Q: Reorder the form of the following question. 2%3D4 TT" f(z, 4, 2) dæ dydz. y=D0 f(x, y, z) dz dy dz.

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Q: If UV = t+3 and WY = t, what is the value of t? Y W

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Q: fro assoc е топоwing probat df = 8, P(t 2 2.306) give degr с. df%3D21, Р(—1.323 <1< 3.1

A: We are authorised to answer three subparts at a time since you have not mentioned which part you are…

Q: Com Pare with C.R.I (n) fc2) AZ 27 %3D

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Q: "ind where f(x, y, z) = e²´y and x = Vuv, y = ; %3D dv

A: To find the partial derivative using chain rule

Q: 11. f (x, y) = ery subject to a? + y? = 16 %3D

A: The objective is to find the lagrangian multipliers for fx,y=e2xy subject to gx,y=x2+y2-16. To solve…

Q: a the diagram, PU||QT, Ì = 42°, RQS = 82°, = v, UPT =r and QPT = x+40°. Prove that PT|QS. %3D P…

A: Given: PU||QT Concept: Pair of interior angles on the same side of the transversal are supplementary

Q: 31. TT/2 alo csc t cot t dt 32. TT/3 [/csc²0 de

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Q: Expend flx,y) stan' (")n pow ers 6f Cyリ Up to third clegree torms. Hence, Com pute f(1., 0.9)…

A: Given: f(x,y)=tan-1yx

Q: Evaluate SSS9e=+y²+=?)** dV over B where B = {(x, y, 2) : a? + y? + z? < 1}. Take = 3.

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Q: If || f(t, y) dA > 0, then f(x, y) > 0 for al D (x, y) in D.

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Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.