7) The greek letter I (gamma) has symmetry type A) D1. C) Z2. B) D2- D) Z1.

Q: ) Use shifting graph to sketch a) y+2 =|-3 + vx| b) y = -1+ 5sin (2x)

A:

Q: If x+2 =y and y +1=5 , then x = A) 1 B) 2 C) 3 D) 4

A:

Q: f 24 f =1, and y # 0 where a # 1, what is y in terms of a? а - 1 у A) y= 2a - 2 B) y= 2a - 4 C) y =…

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Q: 1) If A = 3 (²5) and B=(4) 2 b) |B| = Find:- a) BA c) Adjoint A

A: Note:-Since you asked multiple sub parts, according to our policy we can solve only first three sub…

Q: 29) x-9=√√√5x - 9 A) 18,5 30) √√√x+63 +9=x A) No solution B) No solution B) 1, 18 4 C) C)

A: To find the value of X.

Q: 5) Consider the surface S shown in the graph, whose parametrization is given by by: r(u, v) = (v²,…

A:

Q: 4) Is the equation below Donot solue the epuation if it 's exact:) exact or not? Jushif (8x² +2y)…

A: Exact differential equation

Q: 5 The S.S. of the equation x?-930 in R is- a) {9} b) {81 ,-81} C) {3} d) {3,-3}

A:

Q: If z=2-3i;3+2i then find a)z+w b)z-w

A: z=2-3i  &  w=3+2i

Q: Translation: Demonstrate the convergence or divergence of the series, using the criterion of reason…

A: Given Data: ∑n=1∞n!n-4! To demonstrate the convergence or divergence of the series by using the…

Q: What is the area of the triangle whose vertices are A(-1,2), B(3,-2),C(4,5)?

A:

Q: S5x sec?x dx 5.

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Q: 16) 28 20

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Q: Calcula. √121 × (3² – 4)³ : 55 - (73° +37⁰ +54): : :33 a) 4 b) 7 c) 8 d) 6

A:

Q: 2) Use completing the square to find the following: s+4 а) L-1 ans: e-2t cos2t + e¬2tsin2t (s²+4S+8)…

A: We have to answer the following... a. L-1s+4s2+4s+8b. L-12ss2+12

Q: 4) y>-4x A) B) C) D)

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Q: 5) Again let Universe U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. Let S = {0, 1, 2}, T = {1,4}, R = {2, 4,…

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Q: 3) y--x+4| A) B) C) D)

A: Graph of modules function

Q: 38) - con A) 0 sec B) 5π T, 13л 5т D) 0 3 12 12

A: Find the value of x which satisfy sec(x/2)=cos(x/2)

Q: 29) y = 2x + 1; [1, 3] 9+ 8+ 7+ 6- 5+ 4+ 3+ 2+ 1 A) 7.5 2 3 4 5 X B) 12.5 C) 5 D) 10

A:

Q: 9. Simplify. State any restrictions on the variables. 10a?b + 15bc? a) - 56 30x²y³ – 20x²z² + 50x²…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 23) The spade has a symmetry type A) Z2 B) D2 C)Z1 D) D1

A: Spade has reflection symmetry about the vertical axis.

Q: 16) Find the measures of all five angles of pentagon ABCDE 以CA- X+31 以cB= X+4 B(x+ wZD= 2X aCE=x+い…

A: A pentagon has n=5 sides. So the total sum of the interior angles= 180(n-2)= 180(5-2)=180(3)=540…

Q: 3-2 + 2-3 7) Evaluate: 9-1 17 C) ১ 8. A) 9. 8. B) 17 9. D) 8.

A: Given expression is:3-2+2-39-1

Q: If v = 2i + 7j and w = i - 2j, find a) 3v - w and b) v . w.

A: Given:  v=2i+7j and w=i-2j To determine:  a) 3v-w b) v·w

Q: x = y=8- e³1 2

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Q: Ej+y=o, yo)--2 Gl1) = - 2

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Q: Let A = {square, circle, triangle}, B = {hexagon, pentagon} and C = {circle, decagon, pentagon,…

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Q: 16) (6x + 1)° (2x+1)° B) 14 D) 11 A) 12 C) 13

A: Given- To do- find x

Q: 3 Write an expression to represent the perimeter of the triangle: 3 m-1 TH_4 m-2 m² m² - 3m +2

A: Solution: Perimeter of triangle = Sum of all aides of triangle

Q: i) axb=-bxa ii)_a•(b+c)=a•b+a•c iii) (a+b)+c=a+(b+c)

A:

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.  

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.