1. Define Zero Divisor , Integral Domain. And one example of integral domain.

Q: fx3 - x - 3 = 0 f the starting of tho root

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Q: Find the inverse Laplace transform of: 1 1+2s (a) (b) s+7 - 2 s+4 (c) (d) s' +6s +10 s' + 2s +5

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Q: 6. Solve for the unknown variable using a method of your choice. a. 51x+23 = 1257× b. 2" = 123

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Q: Approximately, what percent of the data is more than the third quartile? 25% 0% 50% 75%

A: what percent of the data is more than the third quartile  

Q: v, w : 3x1 vector R: rotation matrix R(Vxw ) = (R) x (RW) show me that there is the expression

A: The main objective is to prove the given expression.

Q: C: Proof that (Answer one only) a)L (cos?t- sin?t) = %3D s2 +36

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Q: 6. f(t) = (7 - e^(12 – 3t))u(t-4). Perform Laplace transform by integration only. A. [(21 + 6s) / (s...

A: Laplace transferom

Q: How many vertices do the following graphs have if they contains a) 16 edges and all vertices of degr...

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Q: an is an infinite Series with Partial Sum SN=7-2 Syppose that 16 and 5. an what are the values of S ...

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Q: Here is the equation of a conic section such that the ordered pair (Fx, Fy) corresponds to its focus...

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Q: Let f be a differentiable function. Consider the relation (). where z is implicitly defined in terms...

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Q: Theorem 11. Let f be a continuous function on R such that f(x+y)Df(x)+fy) vx, yER. Show that f(x)3Dc...

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Q: +o0 4 1. Determine if the series converges or diverges. If it converges, find its sum. n² + 4n + 3 n...

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Q: Find the scalar equation of the plane that contains (1,1,1), (3,-1,5), and (4,2,-2). -2x1 + 9x2 + x3...

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Q: Determine which of these relations are symmetric. The variables x, y, x'y represent integers. OA. Ry...

A: A relation R on a set A is called symmetric if (b, a) ∈ R whenever (a, b) ∈ R, for all a, b ∈ A.

Q: tains 5 green ba ndom Find th

A: There are total of 5 green balls and 3 blue balls. therefore there are total 8 balls 3 balls are pic...

Q: 5s2-4s-7 7. (s-3)(s²+4)

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Q: a) Use the bisector method to guarantee a solution for the equation 8x³ -16x = -7 in the interval [0...

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Q: III. For each of the following series, determine whether it is convergent or divergent. Justify your...

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Q: o sets are equal if and only if A=B b. ACB and BCA c. AcB and BCA d. ACB and BCA а.

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Q: ル。 dz = 2. For z = -5x* - 6y and a Point P ER' we have dz 23 dy Determine the value of

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Q: Let = axty + bx°y", with a and b constant. Pis a point given by (1, -1) and it is known that (P) = 3...

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Q: 3. The fractal C is constructed as follows. (i) Begin with the line segment Io = [0, 1]. (ii) Remove...

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Q: QUESTION 1 For the following differential equations, - Classify whether the equation is ordinary or ...

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

Q: ,w : 3x1 vector R: rotation matrix R(Vx w) = (RV) x ( RW) show me that there is the expression Hint ...

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Q: Find the general solution of the differential equation: y' + 2y = xy?. Use lower case c for the cons...

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Q: If v1, ..., V5 are in R' and v3 = 0, then {v, V2, V3, V4, V5} is linearly dependent. %3D

A: Definition used: v1, v2, ..., vk is linearly dependent if there exist numbers α1, α2, ..., αk, not a...

Q: Detemmine whether each pair of triangies is similar. If similarity exists, identify the similar tria...

A: We have to show that pair of triangles  is similar or not similar.

Q: Find the equation of the surface of revolution that is generated by rotating the straight line y = x...

A: The surface of revolution that is generated by rotating x=f(y) around the y-axis is x2+z2=f(y)2 so h...

Q: Determine which vector from the options below is in the plane: 1 = S Omo

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Q: If lim am = 0, then the series ) an is convergent. n +00 n=1 O True O False

A: Solution

Q: Please explain your answer in detail. Use Cramer's rule to solve the system. 2x, + X2 - 3x1 = 12 + X...

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Q: 1. (a) Plot the first four terms of the sequence ( 3n² – 3n +2 ] 2 (b) (i) Write in bracket notation...

A:  A sequence is an enumerated collection of objects in which repetitions are allowed and order matter...

Q: y' + ty = tan(t), y( – 4) = 13 a) Rewrite the differential equation, if necessary, to obtain the for...

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Q: v, w : 3x1 vector R: rotation matrix R(Vxw) = (R)x (RW) show me that there is the expression

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Q: Find the equation of the surface of revolution that is generated by rotating the parabola y = x^2 ar...

A: Equation of surface of revolution of a curve about y-axis is given by x2+z2=r2 where r is the radius...

Q: Prove by induction that if p is any real number satisfying p > -1, then (1+ p)" > 1+ np for all n e ...

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Q: 124x1 + 245x2 + 35x3 + 24x4 = 24 %3| 356x + 24x2 + 35x3 + 75x4 = 2 %3D 24x1 + 56x2 + 35x3 + 67x4 = 4...

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Q: Find the points of intersection of the graphs of the equations. r= and r=1.8 1.8 Select one: O a. (1...

A: Given that,                   r = theta/1.8 ....(1) and r =1.8 .....(2)

Q: Solve the system of equations. If there is no solution, indicate that using the checkbox. X1+ 2x2 – ...

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Q: Find the orthogonal trajectories of a system. x'y2- 2xya + a2 0 %3D

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Q: 4) Let x, y, z E Zg. Prove or disprove the following: Ifxy = xz, then y = z.

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Q: Determine which of the following sets of vectors are linearly independent and which are linearly dep...

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Q: 7. Read about the Integral Test in Section 11.3 and, specifically, through example 2 to see how 1 th...

A: Series and sequences, integral test

Q: Exe use ing di fferent orders of in tegration, write six integral of SIC dv , where E is the solid s...

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Q: Activities A Refer to the figure on the right to determine whether the given proportion statement is...

A: We use basic propotionality theorem 

Q: Determine the laplace of the following functions. 1. f(t)=[sin(2t)]^2 2. f(t)=e^(5t)(t^3) 3. f(t)...

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Q: Let A be the set of irrational numbers in [0, 1] and let B be the set of ratinal numbers in [0, 1]. ...

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Q: Use the row reduction algorithm to transform the matrix into echelon form or reduced echelon form as...

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Q: If X = {1,3,4,19}, Y = {2,3,4,7} and Z = {2,4,6,9}, then what Is X U (Y ∩ Z)

A: The union of two sets A and B is a set containing all elements in both set A or set B. The intersect...