Consider the function if x < 1 f(x) = if z > 1 Evaluate the definite integral. f(x) dæ

Q: Let C and D be convex cones in a vector space. Show that Cn D and C+ D are convex cones.

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Q: Use the Newton-Raphson method to find the root of f(x) = e – 0.5x (4 – x) – 2. Employ an initial gue...

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Q: = 80° %3D E = 50° %3D - BC DE ur Solution her

A: Given, ∠BAC=80°arc CE=50° The angle of arc BC and ∠CDE is to be calculated.

Q: Example 6 We use the Farkas lemma to decide if the following system has a non-negative solution: X1 ...

A: The answer is given below

Q: Explain why the following statements are false.

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Q: Question 31 The following net is folded into cube. Write down the letter on the cube which is opposi...

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Q: g. h(0) = Preview h. Based on your work above, on what interval(s) is h(x) continuous? Preview Write...

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Q: Find the smallest positive root of the function x²|Cos Vx| = 5 using the False-position method. Take...

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Q: Obtain the general solution to the equation. dy y + 7x +1

A: Here we have to find general solution of differential equation

Q: Solve the following system of linear inequality by Mixed Cut Method Maximum Z = x1 + x2 Subject to ...

A: It is required to solve the given linear programing problem: Maximum Z = x1 + x2Subject to 0x1 + 2x2...

Q: ANSWER ONLY 70

A: 70. Given that  cot θ=-3 and θ lies in Quadrant II. 

Q: In Exercises 55-68, evaluate the sine, cosine, and tangent of the angle without using a calculator. ...

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Q: Determine whether the given differential equation is separable. dy + 8 cos (x+ y)= 0 dx Is the diffe...

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Q: Prove the following and make a sketch. a) Prove that every Eulerian graph of odd order has three ver...

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Q: Sketch a picture of triangle ABC with angle A = 110 degrees. Thank You.

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Q: Determine whether the two given vectors are orthogonal, parallel, or neither. u = (9, 3), v = (-2, 6...

A: The given two vectors are u=9, 3 and v=-2, 6 We have to determine whether the given two vectors are ...

Q: Find the image of the given set under the mapping w = z2. Represent the mapping by drawing the set a...

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Q: Fill in the blanks to make the following truth table correct: Pap TT TF FT FF

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Q: Ordinary Differential Equations M- 06. Solve the following initial value problem over the interval f...

A: Since you have posted a question with multiple subparts, we will solve the first two subparts for yo...

Q: 7 8.8 x 10 4 4x 10 II

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Q: D=multiple of 3 less than 50

A: Given that D=multiple of 3 less than 50

Q: Question 37 After folding the net, which letter would be opposite letter B? B

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Q: Construct the multiplication table for Zs. Using this table, or otherwise, determine the following x...

A: We will first form multiplication table for Z_5 then we will use multiplication table to find x in (...

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Q: Find a function f(x, y, z) such that Vf = (9z, 2y, 9x). (Use symbolic notation and fractions where n...

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Q: Fill in the blank. The equation 8• 2 = 2.8 demonstrates the property of multiplication. ... The equa...

A: Given the equation  8*2=2*8 demonstrate the _______ Property of multiplication is 

Q: 4. The sum of two positive numbers is 30. One of the numbers is multiplied by the square of the othe...

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Q: Evaluate the expressions. (-2)8 b) (-2)6 | (Type an integer or a fraction. Simplify your answer.) (-...

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Q: s a proper subset of U . (HINT: you can just show that AUB±U)

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Q: An ellipsoid S has the parametric equation S(0. Ø) = (cos0 sinø, 2sin0 sinø 4cosø) where 0 and øare ...

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Q: U8n-3 U8n-7 U8n-1 = U8n–3 + U8n–5 + U8n-5-U8n-7

A: To determine the below expression. u8n−1=u8n−3+u8n−5+u8n−3u8n−7u8n−5−u8n−7

Q: Q3 Given the following non-homogeneous system of first-order linear differential equation: y = 5y, +...

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Q: Which of the following solids can be formed by the above net? A В D

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Q: Question 28 Can the following net form a cube?

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Q: i) Pre that at the Point x- of the Crerve Y: 4m-S, the radices of cervatune f' 5is

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Q: (c) Solve with the classical third-order Runge-Kutta method using h = 1.

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Q: Use the method for solving homogeneous equations to solve the following differential equation. 90 se...

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Q: QUESTION 12 a) Find the order of each element in (Z,+g). 8' b) Find the order of each element in (U ...

A: a Given  that Z8,+8. The element of  Z8 is given by Z8=0,1,2,3,4,5,6,7 Order of an element: The orde...

Q: The figure shows the graph of the equation F(x, y. 2) = x² + y - 2 – 16x – 142 – 4 = 0 Use the quadr...

A: Given Fx,y,z=x2+y2-z2-16x-14z-4=0

Q: For each logical argument, select all the truth assignments for the propositional variables that sho...

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Q: After folding the net, which letter would be opposite the shaded side? AB C Question 21 Which one of...

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Q: Which of the following shapes have half the volume of a solid cylinder with radius 3 and height 10? ...

A: Given the volume of shape is  HALF the volume of a solid cylinder with radius 3 and hight 10. we hav...

Q: An ellipsoid S has the parametric equation S(0. ) = (cos0 sinø, 2sin0 sinø, 4cos) where 0 and ø are ...

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Q: lim (sin? (x) + sec(x))

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Q: Find x such that 1577 =x (mod11), 0sx<11. You must show all the detailed steps

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Q: у 2y 2х + 1+ x?y?) dy = dx 1 + x²y²)

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Q: Approximate V10 using secant method with x1 = 1 and x2 = 2 %3D %3D such that the tolerance of functi...

A: Secant method: To find the root of an equation f(x)=0 on an interval (x0,x1) {where the root lies i....

Q: Find the 30th term of the series 4,5,9,14, ...

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Q: Solve for -5A+3B |2 4| A = |6 2| |8 5| & B = |9 7|

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Q: *Problem 2.1 Prove the following three theorems: (a) For normalizable solutions, the separation cons...

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