x is the distance 1:- Show that the from morm Il x|l o7 2 to

Q: Consider d, B and t real conrtants diflerent from cero, a perible repuesentatien for *yrt =0 is? C)…

A: Given equation of plane is  βx + αy +f = 0 ,where α , β, f are real constant different from zero.

Q: Given: B is the midpoint of AC Prove: AB- BC

A: Given that:                       9. B is the mid point of AC.10. AD is the angle bisector of ∠BAC.

Q: EX8-H.W)lt Xy Xq G CLIB) and +92=X++X Show that gz indや? X十メ2

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Q: Find d(A) in the context of R with the standard metric when i) A = (0, 2) %3D ii) A= the set of…

A: d denotes standard metric on R which is  d(x, y) = |x-y|  , for all x, y in R.  For any non empty…

Q: Q.4: (A) Show that Lim t'i = 4 i t >2

A: The given symbol is the symbol of the limit of the function at the given point of limit.…

Q: (d) Determine all possible points P that lie on the line passing through B and D, so that the area…

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Q: Find y" by imprcit differen fia fên. Simpliey unenoven Po Ssiole

A: Given:- x2 + 9y2 =9  To find:- y'' of given equation

Q: Prove d(x,y) = 8 if x does not equal y and 0 if x equals y is a metric on R, the real numbers.

A:

Q: Given, u=x-y Which of the following is correct ? Analytic

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Q: Find the length of side KL in the figure * AJKL is isosceles with KJ = LJ. K x+3 X-1 2х- 5

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Q: Find the number in the interval[ – 1, – 0.25] so that the sum of that number and its square is ma…

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Q: Factor 112x? 280x + 147 x + x + Hint: If the Jeading torm is pogativo th e acf is

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Q: 5. Find which of the following quadrature formulas are of the interpolatory type. Show your…

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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: Suppose n is an integer and z-z =r is a contour traversed once in counter clockwise, then dz = 2 Ti…

A:

Q: In the figure below, PQ RQ and PS RS. Based only on the given information, which theorem could be…

A: In △PQS and △RQS P̅Q̅ ≈ R̅Q̅  (given) P̅S̅ ≈ R̅S̅  (given) And Q̅S̅ ≈ Q̅S̅ (common side or by the…

Q: Given: B is the midpoint of AC  C is the mid point of BD Prove: AD = 3AB

A: Topic- coordinate geometry

Q: Given: OO, XW * WY Prove: arcs XZZY (Use paragraph proof) X Z

A:

Q: Find the exact length of r = 2+2cos 0 over 0 < 0 < T. Provide your answer below:

A:

Q: Suppose n is an integer and z-z =r is a contour traversed once in counter clockwise , then n dz = 2…

A: Cauchy's integral formula can be stated as follows.

Q: ments is defined as N(a+bV2) = |a^2 ^2].Prove that for every a, bER (b 6= 0)it is sible to find q,…

A: Sol

Q: T 39 to 45° R Given that ZQRS is 164°, what is the measure of 2x? Zx =

A: Answer is- 80° Explanation is given below...

Q: 2. Given: KM bisects ZJKL. Prove: m22 = m23 %3D K M 3.

A: Concept- Opposite angle are same

Q: Compute the length of the curve r(t) = (21, In(t), r?) over the interval 1 <t < 9. (Use symbolic…

A:

Q: l find the are Length of the eurve- 3. from Y=1 to Y= 3

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Q: GIVEN: X1 = X2, HK bisects RHN, HR = HN. PROVE: HK I RN.

A:

Q: The diagonals of rectangle QRST intersect at P. Given thạt m/PTS = 34° and QS = 10 , find RP. R P.…

A:

Q: Given: Line segment PQ has a length of 3(x+ PQ = QR, and QR = 84 %3D Prove: x = 21

A: Here we have to select the reason that best supports statement 6 in the given proof,

Q: For which values of z is w =1/(z – i), defined? For these values obtain u and v and evaluate w when…

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Q: The caudrearoot af x subtrabted from twice X is equal to sove n .In sym bo. ト,2,3,43; Bこt2,46,83.…

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Q: Suppose n is an integer and z-z=r is a contour traversed once in counter clockwise , then P(z-z)" dz…

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Q: Given f(x, y) = In Vay³. What is the value of fy (1, 2)? If the answer is a fraction, write your…

A: Given:  fx, y=lnx2y3 To Find:  To determine the value of fy1, 2.

Q: Given: ZR and W are right angles, T bisects SV Prove: V

A: Box 1 Given Box 2 Angle R is congurent to Angle W Box 3 ST= TV

Q: GIVEN: PM is the altitude to KL, PK = PL. PROVE: M is the midpoint of KL.

A: We have to proof

Q: R Given: RT = QT, AT = ST A s, Prove: AQSTARAT

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Q: Let R = [0, 12] × [0, 12]. Subdivide each side of R into m = n = 3 subintervals, and use the…

A: The solution is given below

Q: F Given: ABCX is a O: DXFE is a C. Prove: ZB = LE X, D

A: Given that, ABCX is a parallelogram and DXFE is a parallelogram. We have to prove that, &lt;B =…

Q: 3. In APQR, PX bisects ZP. If X lies on QR and RX = 10, PR=25, and PQ is 1 more than twice QX, find…

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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: Which of the following formulas defines the area A of a square in terms of its perimeter, P. OA = s…

A: Given information : A square with side 's' A=s2P=4s we need to write area A in terms of perimeter P

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

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Q: is given by (X – Y) ± Z V where Z. is a real number such that PİZ > 7.) 4 for Z ~ N(0, ).

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Q: Given f(x,y)=x-exy, evaluate fy(3,0). 06 O 27 O 9 O 13

A: topic- partial differentiation

Q: 5. Given: C is the midpoint between C Prove: B E I

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Q: A. Find r and 0 so that the perimeter is smallest when (a

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Q: Given f(x, y) = ex° fæy = fyx. ,8 x°yt, show that ,8,

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Q: sy,z) = 8x? In (5y + 9z). Find the range %3D

A: We have to choose the correct answer from the given option according to the given option

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

A: Use simple continuity theorem.

Q: Given: APQR has a right 2Q. M is the midpoint of PR. Prove: MP = MQ = MR

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.