a) Ś ingro find the value of the i od specify the integrel caiedes |-x2

Q: Given: WZ 1 bis. XY Prove: AWXY is isosceles. (Hint: This proof can be written in three steps by…

A: 2. given  WZ↔ ⊥bis XY¯ as WZ is bisector of XY XZ=ZY......(1)

Q: , Evaluate by interpreting it in terms of areas. *P (2* – I^ + *),J

A: We have to evaluate integral by interpreting in terms of area

Q: 1. A waterplane, 250 m long from forward to aft has the following ordinates (in meters): 2 3 4 6 7 8…

A:

Q: Find the dimonsions of the rectangle with the langest area that can be inscribed in the iwosceles…

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Q: (d) Let d be any metrie on Rand define p by plz, v) = Show that pis also a metrie on R.

A: d)

Q: Solve the with indrial data uiçol=3r r,O) = 0 wave 7.

A: We have to find the solution of given wave equation

Q: NOTEL Line Intagrel DAT OM 0 1. MAY A DA TAKP 1. Eva luate Fdr where Cis The hine Se Segment from…

A: According to our guidelines, we can answer only the first problem or the first three subparts of a…

Q: 5.2 Compute I = e -dz, where C is the boundary of the square centred at the origin, with sides of…

A:

Q: A B What other information is needed to prove AABCY ACDA by the HL Theorem?

A: Given : ∆ABC≅∆CDA

Q: Consider the quarter-circle of radius 1 and right triangles ABE and ACD given in the accompanying…

A: Here the objective is to prove the identity given below:

Q: Solve the Divichlet BUP Per an annulus Satisfying Pde: urr +t ur tte Yoo=0 Acr<2, ニo ノ acOc2た

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Q: 24. Heron derived his formula for the area A7 of a regular heptagon of side a, A7 = where r is the…

A: Given: A regular heptagon with its circum-circle.…

Q: 7. two circles with areas 2T cm2 and 200T cm2 uoluos ofra

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Q: Find the area shared by the circle r, = 9 and the cardioid r, = 9(1 - cos 0). .....

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Q: EsLimate the integra Sind dy usng Composile trapezodal nule with pate

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Q: Consider the quarter-circle of radius 1 and right triangles ABE and ACD given in the accompanying…

A: From the given fig. Using standard area formulas, We need to show that…

Q: Discuss the cosets of { (x, y) | x, y E R, x = y } in (R × R, +).

A: {(x,y) / x,y∈ℝ , x=y} in (ℝ×ℝ,+)

Q: 7, Prove the fallo aing theorem 18 (of sizes Such that A and B ere madrices siers addition is…

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Q: Find (1+i)10 using DeMoivre's Theorem

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Q: Find to the the equation du green funclion corresponding pula)=fex) conditions U(o) =0 with and…

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Q: Find the sccond derivate Of the finctron Y =2*. Inx

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Q: If C is the line segment that first connects point 2 to point i, and then the spring piece that…

A: Consider two regions C1 and C2 then these can be defined as follows, Thus, C=C1UC2 The conjugate…

Q: Let C be the circle |2 – i| = 2 in positive sense. Use Cauchy Integral Formula to find: (a) Sc 74°…

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Q: Find the area and points of the intersection of the regions enclosed by the r = 2 and r = 3 − 2…

A: We have to find the area and points of the intersection of the regions enclosed by the r = 2 and r =…

Q: 29. Area = %3D EF, FH, and HI are tangents. EI is a diameter. E 2ft.F J 8ft. H

A:

Q: 9. In right triangle ABC shown below, altitude BD is drawn to bypotenuse AC. AD-8and DCs 10,…

A: Using Altitude Theorem :  In a right triangle ,  The length of each leg of the right triangle is the…

Q: π If the area inside the cardioid r = 8 +8 cos 0 but outside the circle r = 5 cos 0 is A then what…

A: The area is:-

Q: A, Use the dddition Rormulas to derive the identitie arll sin(x- II) = - CosX

A:

Q: 37. Find the maximum area of a rectangle circumscribed around a rectangle of sides L and terms of…

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Q: 6. After the side JK is extended, what is the next step in constructing the orthocenter in AJKL? K

A: After the side JK is extended next step is:-

Q: 20, Yu,t e Rt ond Yc eR Dimension (R) = ? %3D

A: This question is related to linear algebra topic dimension of vector space.

Q: As shown in figure 5.111 to the right if the two small semicircle, each of radius 1 unit with…

A: For the given figure both small semi circles with center O' and O" are of the same radius, so their…

Q: 4 Let A, B, and C be three points and prove that the area of the iangle AABC is given by 1 Area…

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Q: yepriate trigonomic subititution to rewrite the intya) U se in the form E sec'e de

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Q: find alea in bounded and in which Juadiantgon メ-exis lies fist lind Give U-n. where is explession…

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Q: Evaluate cos dV, where E is the region enclosed by the E sphere p = cos(4).

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Q: 5. Find the length of one arch of the cycloid x = sin and y = 1- cos 0

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Q: 7. Use Green's Theorem (and no other method) to show that the area of the triangle with vertices…

A: Greens theorem

Q: (a) Let A, be the area of a polygon with n equal sides inscribed in a circle with radius r. By…

A:

Q: Given: KM = KN Ray KO bisects ZMKN Prove: Ray LO bisects ZMLN M

A: GivenKM=KNtherefore ∆MKN is as isocsales triangle.and KO bisect ∠MLN We know in iso-scales triangle…

Q: show that fo=Ixl is Conlindalus everyuhere

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Find the area shared by the circle r,= 10 and the cardioid r, = 10(1- cos 0). %3D

A:

Q: Hiw, prove That, The areao f enclosed triangle in figure equa l 121" 2. Hol prove Theet, The area of…

A: Area of right angle triangle is 12·Base·Height . Concept of  Rotation in complex number : If we…

Q: Ô dlen proplical auolyir to alve Use Max

A:

Q: Prove that A Unitoy matylre U is Yemem bereel as Svuare Matsin whose colounn Vecto 8 have Cume theio…

A: The solution is in step 2

Q: Point P is the centroid for AMNO. calculate MO if MR = 13. Round to the nearest tenth if necessary.…

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Q: Prove that the surface area of a sphere with radius r is given by S = 4r? using the methods of this…

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Q: 1. use the vesidue theorem to Verify で。 TT dn (44以+5)2

A:

Q: 8. Given: ON bisects LJOH, LJ = LH Prove: JN = HN JNH

A: here, in given ∆OJN and ∆OHN ∠JON=∠HON                                      ∵ ON bisect ∠JOH∠J=∠H…

Q: Find the areas of the regions Inside the six-leaved rose r2 = 2 sin 3θ

A:

Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.