11. Suppose a and b are relatively prime integers and c is an integer such that a c and b c. Prove that ab| с.

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A: We have to find the cross product of vector.

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Q: cosx sec? x + cos x csc csc? x csc? x secx cos? x cos x cos x E f(x)dx _ 2 1. If f(x) 1 , then

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Q: 2. 3 4. 21 4 FIND THE 3 4 2 DETERMINANT 4. 3 1 2. CS Spanned with GamScanner

A: Given A = 1234214334214312

Q: 1. Prove that cos²z + sin²z = 1 eiz + e-iz eiz – e-iz Note: cos z = and sin z = ; let z = x + iy 2i

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Q: Prove that a set A is countable if and only if there exist a surjection from B onto A.

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Q: Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the followi...

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Q: Numbers to Use 1 2 3 4 + 24 + 24 > 24 24 24 24 24 24 24 24

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Q: Determine a series of transformations that would map Figure A onto Figure B. Figure A Figure B 12-11...

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Q: The x-intercepts of a parabola are 10 and -6. Determine the midpoint. 8 -2

A: We have to find the roots of the function.

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Q: If A = 40ej120°. B = 20Z140°, C = 5 + 2i, solve for A + 2B + C in rectangular form. %3D %3D

A: Here i=√-1. Sometimes j is used instead of i.  

Q: 9.5. If s1 = a+ib¡ and s2 = a2+ib2, and s1s2 = use the fact that r= Va² +b² and (a¡a2 – bjb2) +i(a¡b...

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Q: Find the root of 2x3 – 2x – 5 = 0 by using the fixed point iteration method. |

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Q: Prove that a subset of a countable set is countable. Give example using real number

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Q: 3 -1 fo-4 3 [B]= 2 -3 2 1-1 4. 2. 20-3 FIND: 2.

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Q: 5.29 Consider a one-way road where the cars form a PP(1) with rate X cars/sec. The road is x feet wi...

A: The complete solution is in given below  

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Q: (a) For what values of x is the following series convergent? Σ 00 n=0 (b) Find the value of x that s...

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Q: 7- A SOlidconsistof a cone.of radusY- and Gone o O7 radiu5Y- and height h and a hemis Pher of radius...

A: We know,  Volume  of cone = 13πr2h And Volume of hemisphere = 23πr3 Thus, Volume of given solid = Vo...

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Q: Find a system of linear equations corresponding to the augmented matrix. 2 0 0 7 -8 0 XI + i X2 = 0 ...

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Q: A sports store sells tennis racquets of six different prands: Wilson, Prince, Babolat, Dunlop, Yonex...

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Q: y - 3y = 8(t - 2), y(0) = 0 %3D

A: We have to solve the given ode using laplace transform.

Q: S = 2.9375 Use the rectangles in the middle diagram to find the value of T = B1 + B2 + B3 + B4. T = ...

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Q: Express the integralS 4.y.2) dzdrdy as an iterated integral in the other five different ways.

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two po...

A: see the attached image 

Q: Suppose that A is a 3×3 matrix and det (A) = -4. What is det (4A)?

A: We know if A is a nxn matrix then, det(cA) = cn.det(A) where c be any scalar.  

Q: The arduous task of combing and tying up long hair and a desire to assimilate has led to approximate...

A: Given - 25% of Sikh youths do not wear turbans. To find -  P= Probability of an Event x a) P(x=2) b)...

Q: 13.10 Find the minimum of the following function using simulated annealing: f (X) = 6x – 6x1x2+ 2x3 ...

A: f(x)=6x12-6x1x2+2x22-x1-2x2  fx1=12x1-6x2-1  fx2=-6x1+4x2-2

Q: V8(4n)!(1103 +26390n) 9801 396 (n!)4 (b) The partial sums for this series are S, Use a calculator to...

A: 2B Sk = ∑n=0k84n!1103+26390n9801·3964n(n!)4

Q: 1. (a) Find the maximum value of f(x, y, z) = 16x + 2y + 4z, subject to the constraint x² + y+ z² = ...

A: Introduction: When we extremize a multivariable function under certain constraints, we use the Lagra...