19.6 in 15.2 in If YZ is a tangent, then according to Pythagorean Theorem, the length of XZ should be Therefore, YZ v a tangent to OX. is is not

Q: 3. Given: GH DE Prove: AECUT ATDR

A: Given: From the figure, The line segment GH is parallel to the line segment DE. Since,  the…

Q: 4. Consider the following figure and proof. E R T Given: GA || TE Prove: AGRA~ATRE

A: Given: GRA and TRE are triangles. GA∥TE The objective is to prove ∆GRA~∆TRE

Q: Given: LM NO; ZLMO = ZNOM Prove: LO NM ments Reasons

A: We have to Prove that LO congruent NM

Q: d) Using Demoivre's theorem, show that, if z = e“, then i(:-" - ") sin no = ne N+ 2

A:

Q: 5. 35° 55° 4 False True NB 6.4 m DCN < m BAN BA is tangent to circle N at point A. False Question 1…

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Q: ?, R(A)IN(A*)

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Q: 5) Let à = psin(4)ū, + p² Ug Evaluate f Ã. dl given that L is the contour of the following figure.

A: Let A→=ρsinϕu→ρ+ρ2u→ϕ we have to evaluate ∮A→.dl→

Q: (c) Compute the distance in AU between the points (x,0) = (1.24,0) and (1.24, 7)

A: Given: The coordinate transformation, x=Rsinhχsinθcosϕ y=Rsinhχsinθsinϕ z=Rcoshχcosθ The plane…

Q: Led xe R be such thad Xn→x, show that %3D

A:

Q: Given: GH || JI; GH = JI; /is the midpoint of HK Prove: LG LJ H K

A: Given : GH∥JIGH ≅ JI I is the midpoint of HK

Q: Blank 1 is movement of a side of a preimage parallel to that side with respect to one other fixed…

A: We have to fill the blanks.

Q: 13. Suppose that YM has length 12 in. and its distance from point L is 5 in. Find the radius of oL…

A:

Q: Prove that 12) d SIAX 13)let y=x, find Ay/Ax

A: Derivative of function

Q: Given: 2OTS = LOES, ZEOS = ZOST Prove: TO = ES E s.

A: In △OTS and △OES∠OTS=∠OES                   (given)∠OST=∠EOS                   (given)OS=OS…

Q: and Z , if y=0 Solue %3D By using Direct melh oel.

A:

Q: V218 in 7 in 13 in No, the relationship of the sides DOES NOT follow Pythagorean Theorem No, the…

A: Using Pythagorean theorem,

Q: 4. In the diagram below, Ĝl is parallel to NT, and IN intersects GT at A. Prove: AGIA~ATNA

A: Given :GI is parallel to NT

Q: Let C be the line segment connecting 0 to ni. Then ſ. 1- e22 dz = а. 0 b. -0.5 + ni с. лі d. None of…

A: Given C be the line segment connecting 0 to πi. Then we have to evaluate  ∫C1−e2zdz Now,…

Q: 19. What is cot 0 in the right triangle shown? 13 12 12 12 12 12 13 Polnts 5.

A:

Q: 5. Derive the distance formula between a point S and a plane through point P. |n PS d 3D |n|

A: Let Π be a plane passing through P with a normal vector n v is a vector parallel to n and passing…

Q: Show that the intervals S [1,3] and T =[2,8] are equinumerous by finding a. bijection between them.

A:

Q: If A' = g;a,rsys , Yi = birx, , and a;,b,j = dij. Find A' in terms of the x,

A:

Q: A natural cubic spline S on [0,2] is defined by |So(x) = 1 + 2x – x³, S(x) = if 0<x< 1, |Si(x) = 2 +…

A: Given Sx=S0x=1+2x-x3if 0≤x&lt;1S1x=2+bx-1+cx-12+dx-13if 1≤x≤2

Q: 1. In the figure, E is the midpoint of (NS)¯and LSzZN. Which postulate justifies that APES = A MEN?…

A: Introduction: When two parallel lines are intersected by a transversal, the pair of angles formed on…

Q: D A В Segments AD and BC intersect at point O. Prove that AC = BD, MZABC=mZBAD.

A:

Q: 1. Do not use a theorem to find the ff. Z if yz? + z = 5xy – 1. %3D

A: In the multivariable function, if we have to find the partial derivative of one variable with…

Q: 1. Given: DE DF DH bisects EF Prove: 4 DHE ADHF Diagram: E.

A: Given- DE≅DF  and consider the given triangle, To prove- ∆DHE≅∆DHF

Q: 2.2 Prove that ne dz < 3 e 2 ++1 whore C is the arc of the circle 2| = 3 from z = 3i to z = -3. %3D

A:

Q: Os Find the Taylor seaies af the gien funkon Point as conter and deteamina the with the vadius af…

A:

Q: 3. Let r be the radius of the circle inscribed in a right triangle with legs a and b and hypotenuse…

A:

Q: In ALMN, LN is extended through point N to point 0, mZMNO = (5x – 13)°- mZNLM = (x – 4)°, and m/LMN…

A: Solution-

Q: paragraph proof please

A:

Q: 123 A=162 3 3 5 9 3 Let Calceelate Ā By Cayley- Hamil ton theorem.

A:

Q: a) Suppose that you wish to prove that ARST = ASRV. Using the reason Identity, name one pair of…

A: Given: We wish to have the triangle RST and triangle RSV to be congruent.

Q: ke an example at a Noe therian m adu le is not Artini an.( Prove)

A:

Q: 4. Evaluat the fellowing using Simpson's ţ ruloi h =d *x?dx;Ans.c(8.667) B-SとJx iAns. (8、み59)。 A-」

A: By using Simpson's 1/3 rd we have to find solution of given integrals.

Q: A.o/ prove haT cosh(zi42e)=Coshzcoshai+sinh2,Suhze

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: 3. In kite WXYZ, WX =YX =25 WZ=YZ=39, and WY = 30. Sketch this kite, and then determine the length…

A: topic - Pythagoras theorem

Q: Determine if YZ is tangent to circle x. 11.4 in 19.6 in 15.2 in Using the Pythagorean Theorem XZ is…

A:

Q: 6. Given: ZR= ZZ CA= YA Prove: ACRA =AYZA Y

A:

Q: (a) Prove that x, y = -1, y = 1 1 (b) Prove tha and n: m and

A: This is a problem of Number Theory.

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: Consider the following coordinates. W(1,8), X (7,8), Y(4, 5), and Z(1,2) Select all methods you…

A: Given : W(1,8), X(7,8), Y(4,5) and Z(1,2) To find : All methods to prove triangle WYZ  is congruent…

Q: The requved values tor a qud b tor Ple funston to be contimues at x=

A: Use simple continuity theorem.

Q: Ex 6 Show that X -Ca,i) is HOM with y- (1,00) if X and y have the euraal Seibsipace op. af R Hint:…

A: Homeomorphism: Two topological spaces and are said to be homeomorphic if there exists a function…

Q: I. Solve using De Moivre's Theorem. Given that z is not real number and z = 1, show that w = z-1 z+1

A:

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.