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Q: What is the surface area of the composite figure? Round to the nearest tenth. 14 ft 14 ft 6 ft 14 ft…

A: The total surface area of an object is the total  area that the surface of the object has occupied.…

Q: Prove that (a, b) | = |(c, d) | for any numbers a, b, c, d where a <b and e<d. Proof:

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Q: | Use the fair division method to solve the following problems. 2. Four friends purchase a pecan pie…

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Q: The illumination of an object by a light source is directly proportional to the strength of the…

A: Given that, the light source is directly proportional to the strength of the source and inversely…

Q: Use the sets and Venn diagram to answer the question. • A= set of multiples of 10 less than or equal…

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Q: Researchers asked 250 families whether or not they were homeowners and how many cars they had. Their…

A: Number of families having two or more cars       = 95 + 85      = 180 So percentage of families…

Q: Give the augmented matrix for the following system of linear equations. -3x1+10x2-6x3-4x4+8x5 = -4…

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Q: In problems 1 to 3 solve the given differential equations by writing the general solution. Write all…

A: We can solve this by calculating complementary and particular solution We calculate particular…

Q: The terminal point P is determined by a real-value t and lies on the unit circle with coordinates P…

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Q: V9-4x2 The integral of the given function f dx is x2 -V9-4x2 а. 2x Arcsin + C -V9-4x2 b. 2x 2Arcsin…

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Q: Q2: Construct the second order Lagrange interpolation polynomial for the function f (x) = In(x + 1)…

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Q: (1) Consider the Gaussian kernel of the form 1 p(x,t) = V2nt Show that p(x, 0+) = 8(x). Remark 0.1.…

A: First the standard definition of the Dirac delta function is defined. Then, limit of the Gaussian…

Q: ple to nnd (8) for the given finction. b. f(t) = e" sinh?t.

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Q: Find the volume V of the region appearing between the two sur

A: Given, the two surface                  z=x2+y2  and z=200-x2-y2

Q: a) Find the degree 2 Taylor polynomial T2 (x) for the function f (x) = 4xe centered at the point a…

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Q: Let G be a connected graph that has exactly 4 vertices of odd degree: V1, V2, V3 and V4. Show that…

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Q: particular

A: We find particular solution.

Q: Show that the dictionary order topology on the set R x R is the same as the product topology Rd × R,…

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Q: Show the differential equation. Choose your answer from the choices below. A. e^x + x²y= Cy B. e^y -…

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Q: Employ the N-R method to solve 2x3 – 6x2 + 6x – 1 = 0 to 4 decimal places Select the correct…

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Q: Use the following matrices for the next 3 questions 1 2 0| B= 3 4 5 0 0 6 1 5 1 4 -1 2 1 1 1 C= 1 1…

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Q: use the exacr differentials to solve the differential equation. ydx + (x + x³y²)dy=0

A: The given differential equation is: y dx +x+x3y2dy=0 Result: A differential equation Mdx+Ndy is said…

Q: Solve the DE: (cos y- cos x)y' +cos y sin 2x=0

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Q: (3x²+ 2y²)dx + 2xydy=0

A: According to guidelines here solution of only firt question

Q: Find a vector equation with parameter t for the line of intersection of the planes x + y + z = 4 and…

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Q: Exercise III (a) Let I = psin(ø) cos (0); y = p sin(6) sin(0); pcos(6). Then find the following. (i)…

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Q: Q2/ Solve the differential equation by using the appropriate method y' = (x + y – 5)²

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Q: Find the shaded region in the graph. The area of the shaded region is (Simplify your answer,…

A: We know the formula of the region is ∬Rdxdy ,here R=0≤x≤π3;1+cosx≤y≤2

Q: Below is the graph of a parametric equation. If it is known that y=t,what must be the equation for…

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Q: How many 5 digit odd numbers can you make if the digits 0-4 are available and each digit may only be…

A: Combination of the muber

Q: In Table 12.5.1 on p. 135 in [Biggs] (Page 11 in the Cryptography compendium), the different cycle…

A: We know that S6 is the group of permutation on 1,2,3,4,5,6. Since 6 can be portioned into following…

Q: please answer all the 4 parts, request

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Q: 5. Find the polynomial P2(x) that approximate the function Ax)=sin(x) over the interval [0,7/2].…

A: We have to find the polynomial that approximate the function fx=sinx over the interval 0,π2

Q: 2+3i 2.) + (8i – 6)(-3 + 14i) 3i(1-5i)

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Q: - = + t, y = t? + 5, -2 sts 2 y y 10 -10 -5 -5 5 10

A: In this question, the concept of the parametric equation is applied. Parametric Equation  A set of…

Q: Question 2 Let r, y ERt with x < y. Show that y-l<x-1.

A: We have to prove that the given inequality.

Q: The data points lie on a polynomial. Determine the value V²4. 10 -1 3 -13 -7 -9 1 -29 6. -4 2 19 1…

A: First all the given data points are arranged in ascending order keeping the x-values as reference.…

Q: Match the differential equation with its direction field. y' = 8(x + y) - 1 I -Q.31 +0,2 -0.1 0.1…

A: To find- Match the differential equation with its direction field. y' = 8x + y - 1 Give reasons for…

Q: Sketch one cycle of the the graph of h(x)=−2sec(x/5 + pi/10) Label your axis and asymptotes (if…

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Q: (c) If a > 0, then > 0. a

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Q: Find and classify the critical point of the linear system. dx/dt = -3x-y-19 dy/dt = 13x+y+69

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Q: Solve the system of linear equations using Gauss-Jordan Elimination and Reduced Row Echelon Form 3x…

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Q: Does the graph represent a function that has an inverse function? 2)

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Q: Evaluate the ff. Given: А b 1 -1 1 1 2 y 1 -2 4 3 4 1 1 1 1-1 W | Find: a. Adjoint of A b. Inverse…

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Q: e following terms and give example each 1. Echelon matrix 2. Rank of a matrix 3. Eigen values and…

A: Introduction: A matrix is a structured array of numbers, expressions, and even symbols organized in…

Q: 6. Solve the initial-value problem и, +ии, 3D0 with the initial curve x = - t², t= t, u = t.

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Q: The augmented matrix of a system of linear equations is given in reduced row-echelon form. Find the…

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Q: Find all intersection points between r = –sin 0 and r = v = V3 cos e.

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Q: Determine the total accumulated interest of money worth Php100,000.00 borrowed from January 27,…

A: We have to find the total accumulated interest of money.

Q: Determine the z-transform of the sequence x(n) = 3"u(n – 3) using z-transform properties. Express…

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