1. Let W = {( 2).a+ 2d = 0}. Show that W is a subspace of the set of all 2 x 2 matrices and find its rank and basis.

Q: (r+ simo - coso)dr+r Csino tcoo + co-B

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Q: Cancel Save Question Find the value of all the unknown angles 15 *+ 20 G

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Q: 2 If the power series a,(x-d)" is such that lim n=1 L n- 00 Which one of the statements following is...

A: Option D is correct option 

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Q: .. with n, m, E No for all i e {1,...,r}. Let a = p p... p and b p P (The existence of such a factor...

A: Let a=p1n1.p2n2.....prnr and b=p1m1.p2m2.....prmr with ni,mi∈ℕ0 For all i∈{1,.....,r}. To prove gcd(...

Q: 3. Find the inverse Laplace transform of the following. (a) F(s) s2 + 3s – 4

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Q: Show how an improper integral having an integrand f(x) with a pole x0 is regularized as a Cauchy-pri...

A: Cauchy principal value, is a method for assigning values to certain improper integrals which would o...

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Q: 45 16 6

A: We have to divide these two problem. Here is the solution.

Q: Homework. Find Sup, Inf, Max, Min of the following subsets of R: 2) S2 = {x ER: 3x2 – 10x + 3 <0}. S...

A: We have to min, max, sup and inf of given set.

Q: Solve each of the following by Laplace Transform: dy 2.) dt? — 5у %3 е 3t sin(4t) ; у (0) — 3, у (0)...

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Q: - Zvw (sin ( 8. Use the transformations v = x + y and w = x – y to set up the transformed integral f...

A: For the solution follow the next steps.

Q: Cos 3n (g) Σ 1+(1.2)" n=1 n n2n (h) Σ (1+ 2n²)n n=1

A: Determine whether each of the following series is convergent or divergent using the appropriate test...

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Q: Determine whether x= (0, ,0) is an optimal solution to the following linear program. maximise 3x1 + ...

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Q: Trimming the grass at the university oval requires 6 mower operators to complete it in an 8-hour day...

A: 6 mower operators to complete it in an 8-hour day work. So 1 operator can complete the task in 6×8 h...

Q: Find the general equation of the plane perpendicular to the line Z – 2 y+ 4 1- x = 3 and is 3 passin...

A: This is a problem of vector algebra and geometry.

Q: 4- A right trianglewi th dimensious of X = 3 Cm. and y = 4 cm increasing at arate of 2 Gml sec and C...

A: For the solution of the problem follow the next step.

Q: x² + 2x 1. S(* - dx x+2

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Q: Match the quadric surfaces to its graph. A. y + = 4+ 4x² C. 9z + 4y = 36 + 36z² B. 42 + y? + 4z² = 1...

A: We have to identify which Quadratic equation corresponds to which of the given 3D graphs.

Q: x,0 <x <1 CO.2 a) Show that the function f(x) given by f(x) = }k - x,1 < x< 2 is a probability densi...

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Q: b) Solve (D2 – 3D + 2)y = x² + sin x where D = dx

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Q: 6. Find the aheolute mininmam and absolute maximum values of f(r) - 3r-4r-36r, -3 <I5 5.

A: Given function is f(x) = 3x4 - 4x3 - 36x2

Q: Theorem 2. Let R and S be binary relations on a set X. Then, (a) (R-1)-1 = R. (b) (RUS)-1 = R-'Us-!....

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Q: Selve the Differential Equation: E m+l m coscmx) by using 3x the mothod of undeterminech coofficient...

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Q: Let D be the open unit disc in C. Lel g: D-> D be holomorphic, g() = () & let (g(2) h(z) = (s'(0) ,Z...

A: let D be the open unit disc in C , WE Using schwartz lemma . WE CHECK OPTION  ONE BY ONE 

Q: Prove that the additive and multiplicative identity in R are unique note that R is a set of real num...

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Q: 1.) Interpret: For each polynomial function: sketch a graph, describe the end behavior, determine th...

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Q: A surgical procedure requires choosing among four alternative methodologies. The first can result in...

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Q: Choose the correct answer to the question below: * Which of the followingis logicallyequivalent to -...

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Q: Question 4. The following are logical laws shown in our lecture. Find their dual versions if exist. ...

A: We have to find dual versions of given logical laws, if they exist. Pre-requisite :  P1) Two formula...

Q: Q2. Let a b c A =|d e g hi f Assuming that det(A) = -7, find (a) det(3A) (b) det(A) (c) det(2A-) a (...

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Q: Express the sum of integrals as an iterated integral in polar coordinates: r2V3 r4+V16-x² x dx dy + ...

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Q: In (x) dr is equal to x2 The numerical value of

A: Introduction: The method of substitution is a powerful tool to evaluate an integration. It converts ...

Q: n n ( a) Σ n3 +1 n=1 n² + 1 ( b) Σ n n3 +1 n=1 n3 (c) 5η n=1

A: (a). Given series is ∑n=1∞nn3 + 1 Here an = nn3 + 1 let bn = 1n2 So limn→∞anbn = limn→∞11 + 1n3 = 1 ...

Q: Match each of the following with the correct statement. A. The series is absolutely convergent. C. T...

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Q: 1. For each of the following matrices, identify the third row vector, the second column vector, and ...

A: Let us consider a matrix of order m x n  Row vector is a matrix of order 1 x m Column vector of matr...

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A: Given: A(1,1,0) B(-2,3,-4) P(-3,1,12)

Q: 1) How many triangles can be drawn on a plane using 8 non-collinear points?

A: To find the number of triangles drawn on a plane using 8 non-collinear points.

Q: Use the circle graph to answer the question. A library classifies its DVDS into one of the categorie...

A: Introduction: The percentage plays an important role in the calculation. It helps to understand the ...

Q: Prove that the cube of any integer in the form 9k or 9k + 1 or 9k + 8 .

A: Let n be some integer then by the Division Algorithm, n = 3p , 3p+1 or 3p+2 for some integer p 

Q: Given 2 8 -2 -10 -67 [1 4 0 -4 -17 rref 1 4 -2 -6 -5 0 0 1 1 -1 -4 1 5 3 0 0 use the reduced row ech...

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Q: at point Q: a;(4)² + b;(4) + c, = 2 ------ egn 1 az(4)² + ba(4) + C2 = 2 ------- egn 2 at point R: a...

A: We have to show complete solution of how each constants a1,a2,a3,b1,b2,b3,c1,c2 and c3 are obtained ...

Q: Determine whether xT= (0,, ) is an optimal solution to the following linear 5. program. maximise rı ...

A: We are given a linear programming problem stated as a tabular form follows. MAX x =   0.5 x1 ...

Q: Solve the following system of equations using the Gauss – Jordan method: a + 2b – 2b = 9 2a + 3b + c...

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Q: Find lcm and hcf of 1. 75,85,95,105 2. 105,180 3.140,210,350

A: To find the lcm and hcf of 1 75,85,95,105(2) 105,180(3)140,210,350

Q: Compute the Laplace transform of the following: f(t) = t2e 3t

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