In isosceles triangle ABC, | AB |=| BC |= 8, a point E divides AB internally in the ratio - - 1:3, then find the angle between CE and CA (where | CA | = 12).

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A: Since you have posted multiple questions, so we will solve only the first question for you. The…

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Q: 12.1 Q7&Q8 You must have to solve both questios correctly in 30 minutes and get the thumbs up please…

A: We have given that r(t)=5t i +1tj1t is not defined for t = 0 .5t is defined everywhere.Hence…

Q: Let Ao = {0,2), A₁ = {1, 2, 3), and A₂ = {2,4). Draw A, as a tree. Be sure to - indicate the domain.…

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Q: roblem 43. Tal side the angle. C long to l₁ and 1₂ - which the area

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Q: Consider the following. u=(7,5), v= (6,6) (a) Find the projection of u onto v. li li (b) Find the…

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Q: 6. Using only the definition of limit (and no limit theorems) prove the lowing limits (a) lim 2n =…

A: We will simply apply limit to prove the limits.

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Q: Let f(x) = x² + 2x +1 and the derivative of f at x = 1 is approximated by using the central-

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Q: Find the value of k for which the matrix has rank 2. k= 11 [3 -8 A = 7 -2 6 -197 -11 k

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Q: 6. Consider the path given by r(t) = (cost, cost sint, sin² t), 0 ≤ t ≤ 2π. (a) Show that the path…

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Q: Unit 3: Rational Functions x² An interesting example: Consider the rational function f(x) = y = X…

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Q: Write an Add To, a Put Toget Compare problem, each of w subtracting 32 - 17.

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Q: Sketch 9x^2+25y^2=5625 and the line segments connecting (20,0) and (-20,0) to (15,12) a) Solve for…

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Q: = Let f [1,1] → R be a continuous function which is odd, f(x) -f(-x). Show that then, there is a…

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A: Here, in the question Given the function: z=x2+.5xy+y2 y=90-2x is the constraint of the equation. By…

Q: A, B & C are subsets of U A = (1, 2, 5, 6, 9, 10} B=(2, 4, 6, 8, 10} C = (3, 4, 7, 8) Create a Venn…

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Q: Problem 13. Take a circle and points A, B, C and P on Consider orthogonal projection C₁, A₁, B1 of…

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Q: 9 mrt 3 of 3 Required information NOTE: This is a multi-part question. Once an answer is submitted,…

A: The level of a vertex x in a rooted tree is thelength of the unique path from the root to this…

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Q: 5. The purpose of this question is to prove the following statement, which is one half of Theorem…

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Q: Find the general solution dy + cos(x)y = cos(x) dx O y = 1+ ke-2 sin(x) O y² = 2 sin(x) + c y =…

A: Given differential equation is dydx+cosxy=cosx........1. We have to find the general solution of the…

Q: Solve for the values of x₁, x₂ and x3 using Gauss elimination. 5x₁2x₂ + 3x3 = -1 -3x₁ + 9x₂ + x3 = 2…

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Q: 22. dy dx xx + 2y -X-2 xy - 3y + x-3

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Q: Use kernel trick and find the equation for hyperplane using nonlinear SVM. Positive Points: ((1,0),…

A: Positive set points are : { (1,0) , (3,0) , (5,0) }   Negative set of points are : {…

Q: For the line 4x−2y=12, complete the following ordered pair so that it is a point on the line.…

A: Given equation of line 4x-2y=12 --------------(1) Here, x coordinate is given 1 i,e x=1

Q: Find the solution of the given initial value problem. y(t) = y(t) = y(t) = y(t) == y(t) = y" + 4y=…

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Q: Let A and B be any given sets. Use set builder notation and logical equivalences to show that AU…

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Q: Let A = 3.1415 1.4142 2.7183 1.4142 0.2505 0.5143 2.7183 0.5143 0.1116 (i) Calculate cond (A) =…

A: Given : matrix           A=3.14151.41422.71831.41420.25050.51432.71830.51430.1116 (i) Calculate…

Q: 0 2 -1 et A 1 1 1 and suppose B is a 3 x 3 matrix with |B| = 6. 22 5 a) 5) Find the determinant of A…

A: Given,            A=02-1111225,  and  B is a 3×3 matrix with B=6.

Q: Solve the initial value problem: y(t) Your answer should be a function of t. ty' + y = (30t² + 15t +…

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Q: f(x) = x³ + 4 Newton's method: X = Graphing utility: X =

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Q: It is known that x and y are integers and x(y + 1) + y(x+1)=2022+xy. Determine the number of pol…

A: What is Equation: A mathematical equation is a formula that uses the equals sign to represent the…

Q: What is [p]B, the coordinates of p = 8 + 7x with respect to the standard basis B = {1, x} of P₁?…

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Q: ONLY DO THE GRAPHS AND EMPHASIZE THE LIMITS 4. 5. 6. 2x lim x-2x²-4 lim 1-3 x²-5+2 x-3 T²-25 lim x-1…

A: (4)It can be seen limit do not exist.

Q: Solve the initial value problem_dy/dt = co cos t, y(π/2) = -1.

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Q: 3. Show in an efficient way that mdc(896145, 576) = mdc(465, -111). 465x - 111y = 18. 3.1 Se if…

A: To check: If there are integer solutions of the equation, 465x-111y=18.

Q: you have been given the following following autonomous first order differential equation. 2 dy =…

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Q: solve the following partial differential equation : Ux+Uy=5(x^2.e^x+tany).U, U=3at(0,0) and U=2.5 at…

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Q: A = (1, 2, 5, 6, 9, 10} B=(2, 4, 6, 8, 10} C=(3, 4, 7, 8) Execute the set operation. (A - (BUC))

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Q: Bob, a nutritionist who works for the University Medical Center, has been asked to prepare special…

A: Bob has decided that Susan's meals should contain at least 400mg of calcium, 20mg of iron, and 50mg…

Q: The Maclaurin series expansion for cos(z) is: cos(x) = 1 - T² 2! +.... 4! 6! Starting with simplest…

A: Given that the Maclaurin series for cos(x) is     cos(x)=1-x22!+x44!-x66!+x88!------- The objective…