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Q: Exercise 1. H Let 3 A = 19 -2 4 -8 11 1. Form the augmented matrir 2. Carry out row operations…

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Q: (2) Area of Triangle A=11* Of Triangle formed by V' and W in es =√6 A (11012) BC21014) ((|12₁k)|…

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Q: Theorem (Fundamental Theorem of Algebra). A polynomial p(z) = anz" +.+a¡z+ ao with complex…

A: Note that any polynomial with real coefficient is always continuous. We will use this in step 2 to…

Q: bijection

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Q: Superposition Principle Show that if y 1 ( t ) and y 2 (t) are solutions of y' + p(t )y = O. then so…

A: Given: y1( t ) and y2(t) are solutions of y'+p(t )y =0.

Q: 9. Rhombus ABCD has vertices at A(-2,7), B(8,7), C(2,-1). and D(-8,-1). Determine the area of ABCD.

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Q: Complete this proof in its proper format: Proof= { (∀x)(∀y)Rxy } |- (∀z)Raz Assumption:…

A: The given statement is ∀x∀yRxy|-∀zRaz. We have to prove this statement in the prescribed proof…

Q: I R. B,

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: Dimensiones of a box

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Q: A vectangentimeters Tthhat Can be modelled A vectangular ular box of crackers has a volume, modelled…

A: The solution of the problem is given in the next steps.

Q: 4. A right triangle has vertices (-2,5), (-2,–3) and (4,-3). Find its area and perimeter. does -8 .7…

A: Given : Triangle of co-ordinates (-2,5) , (-2,-3) and (4,-3)Side length of triangle:a=8   b=6   so…

Q: こre て r t 6 Make r the Su bject

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Q: Quadrilateral A'B'C'D' is the Image of quadrilateral ABCD under a translation. 6- -6-5-4-3-2Y 2…

A: use the point C and C' to solve this question

Q: Triangle GHJ with vertices G(-2, 4), H(3, 6), and J(3, -2) is dilated by a factor of centered at the…

A: For  the Given Triangle G H J with vertices  G(-2,4), H(3,6)and J(3,-2) with dilation factor 1/3. G'…

Q: (1)State and prove the converse of the power of point theorem.

A: The power of a point theorem statement: Let Γ be a circle, and P a point. Let a line through P meet…

Q: Corners of Fundamental Rectangle 10.    x^2/4-  y^2/49=1  12. (y-4)^2/64 -  (x+1)^2/4=1

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Q: # 3 Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand…

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Q: A plane with the equation ++ = 1 (a, b, c > 0) together with the positive coordinate planes forms a…

A: Given that a plane with the equation (x/a)+(y/b)+(z/c) = 1 together with the positive coordinate…

Q: example using Gauss Jacobi method with complete solution.

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Q: Rewrite -5sin(15x)-3cos(15x)  in the form Asin(Bx+C) where 0<c<2pi

A: Given data is: -5sin15x-3cos15x To write -5sin15x-3cos15x in the form of AsinBx+C

Q: à matric space the union of two

A: Bounded set in matric space.

Q: bijection.

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Q: 7x4=3X2=6X3=-18 y88Xx-4X2#7,2X3=-16 3,2 Xy-2X2-2,8X3-=10 d/ Find the imverse of the matiox CA) of…

A: Suppose the system of equations can be written in the matrix form  AX=B where A is the coefficient…

Q: linuar hamaguresus sgstem X' = Ax & classify lincar the 9) Solve the stability of [o] where A= 2

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Q: Optimal box Find the dimensions of the largest rectangular box in the first octant of the…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: TODlem 16. Find all solulons of the equation z- 5z +4 =0 1 and 4 -1,1,-2 and 2 o -1 and 1 -2 and 2 O…

A: The given fourth degree polynomial is converted into a quadratic equation by using the substitution…

Q: 2.1 6 x 5. 6 4x = 30 H x= 7.5 Quadrilateral ABCD - quadrilateral EFGH by the AA Similarity Theorem.…

A: Two quadrilaterals are similar if they satisfy the following two facts: The corresponding angles…

Q: 2. -7+5m³ + 9m - 3m2 a. Standard form: b. Classify by degree: c. Classify by terms:

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Q: Suppose there are 10 points in a plane such that no three points are collinear. How many distinct…

A: Remark: We can select r items at a time from total n items (where the order of item selection does…

Q: valus alound the Crcle (Z-5) =2 (Z44)2

A: We have to find the integral.

Q: 3. A person throws a shot put from a circle that has a diameter of 8 feet. Write the standard from…

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Q: A plane with the equation ++ = 1 (a, b, c > 0) together with the positive coordinate planes forms a…

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Q: (a) Find the natural cubic spline through the three points (0, 1), (2, 3), (3, 2) (b) Show that the…

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Q: 5. A cube is located so that its top corners have the coordinates (-1, –2,2), (–1, 3, 2), (4, -2,…

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Q: Group B Q1) Use False position method to find the roots of f(x) = x³ - x -1 at [1, 2], Rad, 6…

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

Q: [2 2 6 2 4 8. Let A = 1 -1 By transforming A to upper triangular form 4 -3 -4 find |A|.

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Q: Find a Saccheri quadrilateral in the half plane that has its base bn the line y =25- (x- 4)2. State…

A: Given:

Q: Solu by Cramer's rule +42=-3 2n't 2y -2 = 2 %3D 21 31-2y 31-34+32-3

A: Given,           The system of equations are               x-y+4z=-3              2x+2-z=2…

Q: A headlight is being constructed in the shape of a paraboloid with depth 3 inches and diameter 8…

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Q: A median of a triangle is a segment whose endpoints are a vertex of the triangle and the 1) he…

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Q: combinatorics Show that if II is a projective plane then II" = II

A: proof; let Q' be a point of π not equal to  P and not on l, let R' be another point on m'=Q'.P, not…

Q: system using Solue bring augmented the matrisc =3 %3D 3y +z =5 3x + 34 +4z= 17

A: The equations can be written in matrix form as 12-1131334xyz=3517. Let A be the 3×3 matrix, X be the…

Q: Use the equation quadratic 4x²+9y²+18z²=72 to obtain the trace equation in plane z= √2 . Determine…

A: Substitute the value of z in the equation, 4x2+9y2+18z2=72 and simplify to obtain the equation of…

Q: 5. Proving (Learning Packet #2) Given: LCXA LABX AX bisects ZBAC Prove: ACXA ABXA Statement Reason

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Q: components. The resulting system will be functional if at least 4 of its 6 components are in working…

A: Given that  Total used components = 20 Components need to be selected (n) = 6 The system will be…

Q: Optimizartion 5) Find the avea of the largest rectangle an be inscribed in a right triangle with lee…

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