19. Given: Prove: 21 and 22 are right Zs H is the midpoint of FK FG HJ || FG F H K HJ 1 G

Q: L is the straight line in the xy plane from (0,0) to (2, 2). Evaluate T, F.dr for each of the…

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Q: Let VR and suppose p and q are nonnegative integers such that p+q=n. For = (₁₁) and y=(n) in V, set…

A: Gram matrix: The Gram matrix of a set of vectors v1, v2,.., vn in an inner product space is the…

Q: Let Yapp denotes the approximation of an exact value of y. Which of the following statement(s)…

A: As we know that absolute error is the difference between the actual value and the measured value. If…

Q: Evaluate / F. dr.

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Q: Let w = f(x, y) with f € C² and x = 2k, y = kh³ . Which of the following statements are true? Select…

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Q: Let F = (y – x, ry) and let C be the line segment from (2, –3) to (1, –1). %3D Evaluate F. dr.

A: We wil first equation of parametric equation of line segment

Q: Given F(x, y, z) = (z – x)i+ (2x – z)j+ (y – x)k. Evaluate F. dr when C is a line segment from point…

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Q: What is the Brouwer fixed point theorem and how is it connected to the notion of retracts?

A: To Explain :  Brouwer's Theorem and how it is connected to the notion of the retracts.

Q: S.モ:4-21x 84,20

A: Here, the function is f(x, y,z)=x2+y2+z and surface S has the equation : z=4-2x2+y2, z≥0. We need to…

Q: 1. lese the meto d ethe delerminatt i findl the Uadue Fk fr whんich Coussteut Hhe Set of Lineer…

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Q: alden Let C0,0) represent a a a water fountain located in runi through park along a equartion…

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Q: Give the condition which ensure that Je-| < 1 where z E C.

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Q: Find the Aro af trungle PAR

A: Solution:-

Q: 25 If A E M, is symmetric, prove that AT is symmetric.

A: Symmetric matrix

Q: B. Solve the following linear independent and Wronskian. 1. A-- t 3 ine functione 4. Consider the…

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Q: Sin(39)=Cos ( ? )

A: We know, Sin(x) = Cos(90°-x)

Q: 1- 21 29. G(t) 3+

A: We have to find derivative

Q: 2人+人 2X PM the From Pi (x,,y,z,) to Pz (xz, Yz, Zz Prove that the Midpoint of the line Ssegment 12…

A: Let the 2 points in the line segment be,

Q: QUESTION 6 Consider the function f(r, y, z) = 6x² + 4xy+ e4yz af Then is equal to: ду O A. 4x +…

A: we find out partial derivative with respect to y.   see 2nd step.

Q: -Prove that 2x² - 8x = 22 has at least one soution on the interval IVT. [5,10] by using

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Q: ? Exercise 14.5.2 дz Az To calculate and for the following functions: Ju дv first calculate: Oz Ax…

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Q: a. In R?, let C be the line segment from (-1,2) to (0, 4), and let F = (x + 2,-xy). Evaluate S, F ·…

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Q: Find norm of the function in In Space L1 [o13 O a. 15/81 O b. 15/324 O c. 17/81 O d. 17/324 O e.…

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Q: Which statement is justified by the transitive property of equality? F. (x + y) + z =x+(p +2) G. If…

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Q: 18)Given f(x) = 5x +7 and g(x) - 4- 2r, find g/(-2)). A) -13 C) -14 B) 22 D) 67

A: Given-  fx=5x+7 and gx=4-2x2 To Find- The value of gf-2.

Q: 5. Find the x-coordinates for all points of discontinuity for f(x)- 「X316, xśl x〉 1 2 c. 1, 32d.…

A: First we check the limits as x approaches to 1 from left side and right side .

Q: juith Y>o the Capecto of r erdex differentiable Scenction u of exder[Y Dultle is given with…

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Q: find the line ariz ation of the followwing function. fcx, y>=J 9z*+I6y² point (1,1). Use what this…

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Q: 6. Let f be function such that f(-a) = - f(2) for all If a %3D х. | f(2)dz = 5, then L2) +0)dz =…

A: With the help of definite integral property we solve this.

Q: Show the p in th

A: Vertices of the triangle is Given integral is

Q: Shew that if f is Lip. then P is Cont. on X. Nale- In fact f is uni formly Conhnaue

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Q: On what interval is concave downward?

A: To identify the intervals in which concave downwards occurs, it is enough to look at the intervals…

Q: Q5:111M) A) Let f: [0,2]R be defined by (3 if xEQ if xeQ fx) = (2) feRn [0,2]. Show that (1) / is…

A: This question is related to limit and continuity .solve in step 2.

Q: Let x = (m , 1 , 0,-2)", m > 0 and ||x||2 = V30, then m = Select one: о а. 4 O b. 6 O C. 7 O d. 5

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Q: Let H = H4 U H, be the class of "positive" and "negative" circles in R² (the "negative" circles are…

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Q: $-Show tht tha Newton's inters of degree falating Polynomiat P), fassing through the Poinks (oay…

A: Introduction: An interpolating polynomial is such a polynomial having the least possible degree that…