22. Find m in y = mx+1 such that (-8A) is on the graph. 5 6 8 a) b) c) d)

Q: The Critial Points of fcx,y)t+Ý-4y subject to the x+y=9 is O (o,さ3), (は5,2) ④ (e, さ)さ何,) None of…

A:

Q: Express K#S^2#T#2P as a connected sum of projective planes or as a connected sum of tori.

A: To express the given connected sum (of surfaces) in the required form

Q: If A = x a, – zy a,, evaluate § A · dī around the path L defined by 0 < x < 2,0 < y < 1 as shown in…

A: Stroke's theorem:         It is also known as Generalized stroke's theorem. It states that the…

Q: 4/ur grans funthon y"-Uy't3y = et

A:

Q: Find the Sclutian to the an=2anal t3an-2 with terms lecurrence relation initial and

A:

Q: Sketch the grafph Following Funcfions Tor the :も L) 2=4- y bx+2y t3でンと *)モ x3+ +y2

A: Here we have to sketch the graph for the following function. i) 6x2+2y2+3z2=6j) z=x2+y2k) z=x3+y2L)…

Q: A natural cubic spline is defined by Sa,(x-1)' +b,(x-1)² +c, (x - 1) + d, S(x) =- if 0sxs1 (x- 1)' +…

A: Step:-1 Since, we know for cubic spline S(x)=S0x=a0x3+b0x2+c0x3+d0…

Q: we divesgencatheosem to evaluate + XzK. dA cohose sisthe boundasy of cube definedd by

A: By divergence theorem we convert the given surface integral to the volume integral, and the region…

Q: 4) Use Green's Theorem to evaluate f √1+x³dx + 2xydy. C is the triangle with vertices (0,0), (1,0),…

A:

Q: b)Show that, 6(z, 3zy – y' and (z,y) = -+3ry are harmonie

A:

Q: In AHIJ, HJ is extended through point J to point K, mZJHI = (x + 12)°, mZHIJ = (x - 3)°, and mZIJK =…

A:

Q: 3) Use Green's Theorem to evaluate o-ydx+xydy where C is the line segment from (-2,0) to (2,0) then…

A:

Q: 1 Using Convolution theorem, find L' ,2 |(s² +a²)?

A:

Q: How many points need to be in a set in R° to guarantee that the set is affinely dependent? А. 11 В.…

A: According to the given information, it is required to tell the number of points in a set R9 to…

Q: Let C be the shortest path that connects z to ri and /= J, (sinhz + 1)dz. Then O 1 cosh r+ n(1+) O…

A:

Q: Suppose n is an integer and z-z3D =r is a contour traversed n dz %3D once in counter clockwise, then…

A:

Q: 1. A bowl contains 10 red and 10 yellow balls, how many balls must be selected to ensure 5 yellow…

A: Since you have asked multiple questions here, we will solve the first question for you. To get the…

Q: Use the Trapezoid Rule withn 5 to approximate e dr. 074035 2.9614 O37.0175 O 1.4807

A: The trapezoidal states that

Q: 12) Show that D- d-del is shortest distance betueen a x- by +c2.of ; and ax+by tcz= dz?

A:

Q: Use the following graph of ) to estimate the solution(s) of Ax) = 0 for osxS6.28. 3.14 471 6 28 -1-…

A: We know the values of f(x) are given in the y axis, so y = f(x). y is the dependent variable and x…

Q: ☺ show dhat 2) G(x,x) => Uola) Uorlo) were G is green funcfion

A:

Q: (c) A line in R² not through the origin ax + by sC #0 then &H. :, t is not a ad Umecepsang but…

A:

Q: 9. What is the resulting image of D' after a reflection about the line y3Dx? ty D Rule: A B

A: Topic - symmetry and geometry

Q: 10 What are the coordinates of the point on the directed line segment from K(-5,-4) to L(5, 1) that…

A: Use mid section formula for evaluating the coordinates of points.

Q: Let S,(x) = 2x³ – 3x² + 3x – 4, 0<x < 1, S,(x) = x³ + b,x² + c,x + d,1 sxs 2. Find b,, C1, d, that…

A:

Q: 12. If NQ bisects ZRNP, then 2QNP 13. If RN bisects ZSRP and m2=55, then mZ1=

A:

Q: 1. Sketch the path C which is around the paths one from z = 3i to z = 2i and another from z = 2i to…

A:

Q: graph'the Sorution to the follow imy inginequratityon animber line nur (x-2) (x+5) z O

A: Solving the problem by doing the graph.

Q: 40. In isosceles AMNP, MN = MP. With point Q on MN, MO = QP = PN. Find mZM and mZN. Q 384.

A:

Q: 12) Show that D- ldi-dal between is shortest distance a x+ by + e2 of i ancd ax +by +Cz = dz?

A:

Q: n(n – 1) (c) Prove by induction that the number of edges of K, is (d) Sunnoca

A:

Q: 10 What are the coordinates of the point on the directed line segment from K(-5,-4) to L(5, 1) that…

A: We have to find out coordinates

Q: 1. A bowl contains 10 red and 10 yellow balls, how many balls must be selected to ensure 5 yellow…

A: To solve this type of questions we consider the worst case that is  after taking all red balls we…

Q: Consider ỹ,,y2, ÿ,ER³ and that y,+y,+y;=0. For Î=span{ ỹ,,y} and Y=span{ỹ2, y, show that Î=Ỹ.

A: Given  that  y→1, y→2, y→3∈ℝ5 and that                   y→1+ y→2+ y→3=0→. and           Y^=spany→1,…

Q: 2.) Use the chain cule to find dz and d ond guen the fllowng: Yoy must show in work that your the…

A: We have to find partial derivatives.  Concept:

Q: 火2sin C&) for ダチo fcx) = { for x =0 show that Con tinods or not

A:

Q: graph the points z = x + iy that satisfy the givenconditions. | z |&gt; 2

A: Complex numbers

Q: Solve the BVP on interval Lo, nJ) 2 %3D 2.

A:

Q: Describe the tronsformaton that must be performed, On the of y=&5)*-3 gaph of y= xh to Obtuin the…

A:

Q: 2) Prove by using the pigeonhole principle that among any 17 points in a square of side one there is…

A: Given: A square of side one contains 17 points. To show: There is at least a pair whose distance is…

Q: et §, ŋ, o be real numbers and consider ctors (1,5,§³); (1,ŋ,n³); (1,0,0²). Determine e conditions…

A:

Q: 6. Use the IVT to prove that x2+ In r = has a solution. %3D

A: The Intermediate value theorem says: If the continuous function attains two values then it must…

Q: 2. In OABCD, ZA = x, ZB = 2x +60. ZD = Draw a sketch to help you.

A:

Q: 3.2.21. Draw a connected path starting at (0,0) that, if continued, would pass through all of Z ×Z.

A: The connected path is a continuous mapping in which a continuous image is formed. In other words,…

Q: 5. If 4=2xy į +3x°y -3pyzk is solenoidal at(1,1.1). Find p.

A: DivA=0

Q: In the 0 are parel line bisects LAEG.Tf M<CGE = T2 Of CA EF diagram below lines ATB cand then what…

A:

Q: In AJKL, JL is extended through point L to point M, MZLJK = (x + 9)°, mZJKL = (x - 2)°, and m/KLM =…

A: The exterior angle is equal to sum of two opposite interior angles. We will use this property to…

Q: Compute / (1/zy, 1/(z + y)) dr along the path from (1, 1) to (3, 1) to (3, 6) using straight line…

A: The parametric vector form of a straight line from (1,1) to (3,1) will be given by:…