Exl Let c R,Z) be usual toP s Pace and A-fcxy)ER/ x²+y²< 13 find A Ext CA), Ā , A°

Q: For long cirular cfinder of Re two halves maintained at temprature U1 and Vi respectively, Show that…

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Q: If UV bisects XY at point W, which statements 6. must be true? Select all the true statements. se UW…

A: We know that if a line bisects other line then the bisector point is know as the mid point of that…

Q: Given: AABC is right isosceles. X is the midpoint of AC. AB = BC ty A(0, 2a) Prove: AAXB is…

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Q: Use the diagram and follow the steps to prove the conjecture that if three parallel lines are…

A: The Proportional Segments Theorem states: If two transversals line intersect three or more parallel…

Q: What is the radius of the given contour C : |z + 7i| = 8 + 6, 0

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Q: Use Green's Theorem to evaluate (sin r + y) dr + (cos y +a?) dy, where C is the square con- sisting…

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Q: Let a = ci + jand b = 2i + 10j. Find c so that a and b are orthogona C = i

A: Given: a=ci+j b=2i+10j.

Q: If C is a closed contour |z| =r and n #1, then a. 2 O b.0 OC. 2ri Od. None of the above Sed C z" dz…

A: We have to find the value of ∫Czn dz where n≠1 and C is a closed contour z=r

Q: For the given triangle, prove that JK +JL> KL.

A: To Prove: (JK + JL) &gt; KL

Q: AABC has inradius r, altitudes of length ha, hb, hc, and exradii ra, b, c. 1 1 1 + r (a) Prove that…

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Q: Given: AP and BP are tangent A to ©Q at A and B C is the midpoint of AB PĆ bisects ZAPB Prove: В

A: given: AP¯ and BP¯ are tangents to the circle having centre Q at A and B. C is the mid point of AB⏜.…

Q: What is the radius of the given contour C : z+ 6i = 9+ 10, 0 < 0 < 2n ?

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: 1. Given OQ, AC = x2-6, BC = x, CQ = 5, Find the area of OQ. %3D %3D B

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Q: Let a = ci + j and b = 6i + 36j. Find c so that a and b are orthogonal. C = i

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Q: Show Whát You KhOw: Properties POSSIBLE AC = 36 cm, and BC = 27 cm. A Verify that DE || AB- 20 cm C…

A: Solve the following

Q: If V = Ai - j +sk and Vz= 41+2j +4k, Find Value of (A) so that the length of Projection of V ont Vz…

A: Use the formula for length of projection of a vector onto another vector

Q: 10. Use Green's theorem to evaluate fcF·dr where F(z, y) = C is the triangle from (0,0) to (2,0) to…

A: Using Green's Theorem to evaluate ∮CF.drwhere F(x,y)=y2cosx,x2+2ysinxwhere C is the triangle from…

Q: Let a = ci + j and b = 4i + 8j. Find c so that a and b are orthogonal.

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Q: PN bisects MQ ZM and 2Q are right angles ΔΡOR ΔΝMR Given: Prove: R

A: Given:         PN→ bisect MQ→.∠M and  ∠Q are right angles.

Q: What is the radius of the given contour C: |z+ 6i| = 9+ 10, 0 < 0 < 2n ?

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Q: 20. Given: PQ = RQ, PS = RS Prove: QS bisects ZPQR. R

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Q: Given: © 0 and P are externally tangent. OA = 8, PB = 2 Find: The length of common external tangent…

A: Given OA=8PB=2    using the formula AB= d2-R-r2wher d is distance between  O and P and R and r are…

Q: find the area of triangle between V and W YA (1, 1, 1) V W

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Q: Find a baxs for d (R', e'), the spece of R? to R>. 2 ee lineer tren sformations from

A: a linear transformation L : R2 -&gt; R3 such that  S = {[ 1 -1 2] , [3 1 -1]} is a basis for range…

Q: What is the radius of the given contour C: z+ 4i| = 2+ 7, 0 < 0< 2n

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Q: If we ignore air vesistance, then the range RO) of 'a ves pect to the X axis base ball hit at an…

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Q: 2. Evaluate 22 - iz dz, where the contour C goes from z = 1 to z 2 to z = 2+ 3i.

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Q: МAT MAT = 150° %3D ZM = 78* %3D 150 78 Find the measure of ZH and ZT. degrees degrees T =

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Q: b. Given: AE bisects DC ZC = ZD B Prove: AABD EAEBC PE D.

A: we prove it in 2nd part by using ASA identity.

Q: Let f (z) = 2z, O = 0, A = 8 and B = 8+ 8i. Let C1 be the contour composed of the line segments OA…

A: The given problem is to evaluate the given complex integrals for given function with given different…

Q: Given: ZW and ZY are right angles WX = XY Prove: AXWZ EAXYZ

A: GIVEN:- LW=LY=90 WX=XY

Q: A wire ACB passes through a ring at C, which is attached to a sphere rotating at constant speed v in…

A: Given data   and  v=8 ft/s Apply equilibrium equation ,

Q: What is the radius of the given contour |z + 2i| = 8 + 7, 0 s 0 s 2n ?

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Q: Let a=ci+j and b=3i+6j. Find c so that a and b are orthogonal.

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Q: Let v=i+6j and w=i+3j. Find an exact number c so that w−cv is perpendicular to v.

A: The given vectors are    v = i + 6j w =  i + 3j

Q: AABC has inradius r, altitudes of length ha, hb, hc, and exradii ra, b, c. 1 1 1 1 + ra r (b) Prove…

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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: moves along iine ield x, y, z) = z?i + + 4 s' Theorem to finc

A: The work done is the line integral o the force along the given path C, W=∫CF.dr Apply Stokes…

Q: 1. AB and AC are tangent to 00 at B and C. If mBC = x, then m LBAC = (С) 360 - х %3D (А) x (B) 180 -…

A: Given a circle with center at O and there are two tangents at B and C from an external point A. Also…

Q: What is the radius of the given contour C : |z + 2i| = 7+ 4, 0 < 0 s 2n ?

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Q: If C is the line segment from (8, 4) to, (0, 0), find the value of the line integral: (6y? i + 5x})…

A: To solve the line integral from (8,4) to (0,0)

Q: Given: PRa PY, AP is perpendicular Prove:ZR ZY Proof: Statement 1.PR PY

A: Introduction: If the hypotenuse and one leg of a right-angle triangle are equal to the corresponding…

Q: Let r be the inradius, R the circumradius, and s the semiperimeter of a right triangle AABC. Prove…

A: Given that, ∆ABC is a right triangle, r be the inradius, R be the circumradius and s is the semi…

Q: Find the raclius af cunvature af the cuTYes : 1- Y: 2ti + CIA)j -2tk ot (2,1,-2). Y ti +ti +tk at…

A: Here we have to find the radius of the curvature of the curve,  1) r=2t i+1t j-2t k at 2,1,-2 2)…

Q: Let a = ci +j and b = 4i + 32j. Find c so that a and b are orthogonal. C = i

A: Recall: If two vectors a and b are orthogonal then their dot product is zero that is a·b=0

Q: 1. Given: R is the midpoint of QS; ZQRP = ZSRT; ZQ and ZS are right angles. Prove: AQRP = ASRT R

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Q: XE 2 Then 9 is, H-w Diso Disc 9:21 2 such That goo =zX, Sprove That. %3D 7. ctute

A: g:Z→Z such thatg(x)=2x For proving one-one/injective Let x1,x2∈Zg(x1)=g(x2)⇔2x1=2x2⇔x1=x2 So, g is…

Q: If f(2) = sin(z?) = U(x, y) + iV (x, y), determine U and V. Verify that the C-R

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Q: Evaluate z dz, where the contour C goes from z = 0 to z = 1 to z = 1+i.

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