Oue. 4a) find second degree polyDOMAX. passes through the foimts (0,1), (13), (2,7) and (3,13),

Q: Consider a convex polyhedon P with 3 square faces and 6 regular pentagon faces such that each vertex…

A: Solution :- Euler's Formula for convex polyhedron is given as :- V-E+F = 2 Where, E = No. of edges V…

Q: De Morgan's law

A:

Q: Why is F= {An = (1/n, 1), nE N;n>1}not an open cover of [0, 1]? Which points in [0, 1] does UAn not…

A:

Q: 4. Describe the reflection(s) that will carry the rectangle onto itself. 10 -10-9 -7 01 -2 -6

A: Given: The rectangle ABCD. To describe: The reflection of rectangle.

Q: 5. Triangle JKL with verfices J(1,-1). K(2, 3), and L(3, -2): x=4 J': L': K'

A: In the question it is asked to take a mirror image of triangle ∆JKL about x=4. Coordinates of…

Q: Suppose that the side lengths of one of a pair of 5-con trianglesare given by the numbers (a, b, c),…

A:

Q: 5. Which of the following sets S are polyhedra? If possible, express S in the form S = {x | Ax 3 b,…

A: Given set is S=x∈ℝn:x≥0, 1Tx=1, ∑i=1nxiai=b1,∑i=1nxia2i=b2, ai∈ℝ, b1,b2∈ℝ Clearly S is defined by…

Q: Condition fr Dlegonalinetion by the the mshoe beiow fan mans Ahasdinct eige s then the crending…

A:

Q: 2. Prove that there are no rectangles in S2. More precisely, prove that if A, B, C, D E S² form a…

A: Given: ∠A=∠B=∠C=∠D=π2

Q: 15) o veclovs ú = Givetw and Tñ=211 deternine the projection d on 2.

A: This question can be solved using the projection formula.

Q: A polygon is graphed on a coordinate grid with (x,y) representing the location of a certain on a…

A: solve the following

Q: Icm(a, b) = ab if and only if a and b are relatively prime. %3D ylgn O ihi O

A: True

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: O Find the general solution of the differentlal equatton. %3D of the given answerß none cly-21" %3D

A:

Q: A designer is creating various open-top boxes by cutting four equally-sized squares from the corners…

A: Given that, a square of sides x length is cut from each corner of the sheet. Then the length and…

Q: ) 9f cp andeobea Semi diasmeter pairaf conjuegate 4-the llMipse 4L1 then the adeesof carvatere al P…

A: Given: The equation of the ellipse is x2a2+y2b2=1. We need to show that the radius of curvature at…

Q: 5. Prove that if A and B are similar then dim(ker(A)) = dim(ker(B)).

A: We have to prove dim(ker(A)) = dim(ker(B)).

Q: - Show that the area of the triangle whose vertices are the [x1 yi det X2 Y2 A - points (x₁, y₁),…

A:

Q: Question No. o6: Evaluate the where C is yectangle ahere vertices (o,0)> (x,0), (x.%), (0 , %).

A:

Q: 4. Let A Sketch the collection of points Ar for i in the unit square.

A: Let A=1101. Sketch collection of points Ax¯ for x¯ in the unit square. Matrices maps a polygon to a…

Q: nlar polygons. |NPOM ~ TQ-

A: The given polygons are NPOM and TQRS.  The pairs of congruent angles are : ∠N≅∠T∠P≅∠Q∠O≅∠R∠M≅∠S…

Q: This is a prism. Which of the following is a net for a prism?

A:

Q: IFA and B have 6 and 9 elements each, what is the minimum number of elements Aunion B?*

A:

Q: Show that the points D(0, 3), E(−2, 7), and F(2, 9) are the vertices of a right triangle. mDE  =…

A:

Q: If A and B is a symmeyric, proof that AB-BA is a skew symmetric?

A: We know that a symmetric matrix is a square matrix that is equal to its transpose and a…

Q: Let E be the tetrahedron with vertices (0, 0,0), (1,0,0), (0, 1, 0) and (0,0, 1).

A: we have to compute the volume integral

Q: 10. Triangle JLM with verfices J(-5, 7), L(8, 3), and M(-3, -1): (0, - 5)

A:

Q: Let a = 8 and b = 9. Find m,n E Z such that am+bn =1.

A:

Q: Given two red rooks and t ue rooks, find the number of distintt woys in which the nooks Can be…

A: it is given that there are two red and two blue books. And there is a board that has, n×n cells.…

Q: 4. Find the uolume of the following objects : a) A cube with ane side lengtu b) A sphare withi…

A: To find the volume of the objects.

Q: k and Ĉ = к апd rs along the a ICorteeion

A:

Q: An Instructor teaching three sections of vering the same material. She has made ction, but she…

A: By using ANOVA test for a single factor, a) Null and alternative hypothesis: Ho:  µ1 = µ2 = µ3  (All…

Q: 共9. L is a Uxb matrx, so the rank of Lis at most: Al I B) 2 c) 3 D)4 E) one

A: L is a 4×6 matrix.

Q: If ge R [a,6] 'ib h) < gcx) exapt gex) except for a finite number 8 points in (a, b] then prove that

A: The partition from a to b should be first divided to form a set of integrals.

Q: 11. Square ABCD with verlices 4-1, 3), B(O, 6), q3, 5), and D(2, 2): yx A B. D:

A: We have to find the reflection

Q: c If in is an involution of X, show that (r, y)" = (yi", xi") is an involution of X2). %3D

A: Given X is a lattice. Given in  is an involution of X To show: ((x,y)in=(yin,xin) is an involution…

Q: given a//b//c  and Bis the mid point of AC.  AB= 2x+3 BC= x+7 DE= 3x+2 Find EF.

A:

Q: Find ff 3xydA over the triangular region D with vertices (0,0) (2,0), (0, 4)

A: We will solve the problem

Q: G be H and Ki Then direct 7(H) and Let direct pradeuct 7(G) Yoduct z'(k). is

A:

Q: (b) Using Venn Diagram to prove that (A U B)e = A° N B° ?

A: To prove the following using Venn diagram A∪Bc=Ac∩Bc First consider the left hand side  Set A

Q: ALMN has vertices L(-2, 2). M(2, 3) and N(2, 0) L.

A: Coordinates of L = (-2,4) Coordinates of M = (6,-2) In right angle triangle circumcentre is the mid…

Q: HeWe sketch the fallowing curker and identifythe symmetriesof theme to r=lt coso 2- 3 r=4.co520…

A: Since you have asked multiple questions, we will solve the first three subparts for you. If you want…

Q: (1) Rxy(t) = Ryx(-t) is a symmetry property.

A:

Q: 12. Which of the following cubes is formed when the net is folded?

A:

Q: 6 The Are a of the traufe twith vertices A = (1,2,3),B= (2,3,4) and C= (1,!, x) is egual to /VE Find…

A: Area of triangle ABCA=12AB×AC As per our guideline we supposed to answer only first question kindly…

Q: (2) Let S := {1,..., n}. Compute the number of towers of length of the form A1 c A2 c S, where A1 +…

A: A tower of length  set is a basically chain of subsets of different size.

Q: 4- Prove Sca) < ela) and Conclude if ea is la-ea small Compared to lal then: ela) S(a) lal

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.