Find the points on the ellipse 2x +y = 1 where f(x,y) = xy has its extreme values.

Q: Five friends share paying the restaurant bill with the ratio 2:2:3:4:5. How much is the largest shar...

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Q: Examine the convergence of the series : (i) 1+x 00 1+ x3 (а + 1) (2а + 1) , (а + 1) (2а + 1) (За + 1...

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Q: dt ans (3-323) ノー

A: As per the company rule, we are supposed to solve one problem from multiple problems. Therefore kind...

Q: 8. If the volume of the cuboid 350 cubic cm, fength = 10 cm ànd breadth = 5 cm. Then %3D %3D find it...

A: We have to find the height of the cuboid where the volume, length and breadth are given.

Q: 6. Let A, Be M,. Show that I. If AB = A and BA = B , then A and B are projection matrices. II. If A>...

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Q: 5. Explain why the congruence r = 2 (mod 4) has no solutions in Z.

A: We have to show that the congruence x2≡2(mod 4) has no solution in ℤ

Q: Suppose is a basis for the eigenspace of an n x n matrix A corresponding to 2 the eigenvalue A = 1/2...

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

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: 2 Let A = -1 -4 Find AN and sin -1 A 2

A: For the solution follow the next steps.

Q: Prove this theorem Let a,b,c be an element of real numbers where a is not equal to zero. The equatio...

A: Use the provided information.

Q: Homework. Find Sup, Inf, Max, Min of the following subsets of R: 1) S, = {2-P + 3-4 + 5-" : p,q,r €Z...

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Q: Let {a,} be a decreasing sequence with a, O such that lim a, = 0. Choose all the correct statements:...

A: We choose the correct statements.

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: Let P (x) be the statement "x = x²." If the domain consists of the integers, give True/False accordi...

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Q: 2. An automobile travelingat the rate of 20m/s is approaching an intersection Whenthe automobile is ...

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

A: Given Total DVDs = 1651

Q: The diagram shows a sketch of the curve with equation y = -r +7x 12 1 3. -2- 8 CMA Q3 Find the areor...

A: For the solution follow the next step.  

Q: A Box with a Square base and an open Top must have a volume of 500 cm'. Find the dimensions of the B...

A: A box with a square base and an open top must have a volume of 500 cm. To find: The dimensions of th...

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

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Q: Prove that the only homomorphisms from Z to Z (Z being the ring of integers) are the identity and ze...

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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: Use the divergence theorem in R to evaluate the surface integral I of the two-form w= (zry + e) dy A...

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Q: In the expansion of + 6)-", state the number of terms and the coefficient or the middle term. 21, 20...

A: Introduction: The binomial expansion is a very important finite series in mathematics. With the aid ...

Q: Determine the value of K such that the points A(4,-2,6), B(0,1,0), C(1,0,-5) and D(1,K,-2) lie on th...

A: Given A(4,-2,6), B(0,1,0), C(1,0,-5) and D(1,k,-2) AB→=(0-4,(1+2),(0-6))=(-4,3,-6) BC→=((1-0),(0-1),...

Q: 1 Bin x į sin x, 0sxsn, Prove that f (x) = + 2 2 · If f (x) = { 0. cos 2nx -- n=1 4n? - 1 1 Hence sh...

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Q: A right circular cylinder has radius 3 units and volume 72π. What is the height of the cylinder?

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Q: 4.6-14. Consider the following problem. Maximize Z = -x, + 2x2 + X3, subject to 3x2 + X3 s 120 X - X...

A: The problem is converted to canonical form by adding slack, surplus and artificial variables as appr...

Q: Given that lim n2(x-5)" converges by the Ratio test. If xEZ then the numerical 1- 00 value of x is e...

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Q: Find a basis for the subspace of R" spanned by S. S = {(43, -21, 6, 18), (-14, 7, -2, -6), (6, –3, 1...

A: Subspace of  ℝ4  spanned by S is               S = { (43,-21,6,18) ,(-14,7,-2,-6) ,                 ...

Q: Find the general solution of the differential equation y" – 16y = -48t + 32t?. NOTE: Use t as the in...

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Q: 1) . (x + y)e*-y´dA where R is the rectangle enclosed by x – y = 0,x – y = 2,x + y = 0, and x + y = ...

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Q: The Maclaurin serles for f(x) = x²elz) is: (-2)*z*+2 (b) 00 (e) None (2)-kyk+2 2(k)xk+2 (c) 2kyk+3 (...

A: Any function which is differential then the function can be written in the polynomial  A Taylor  ser...

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: f(x, y, z) = z(x² + y² + z²)-3/2 over the part of the ball x² + y² + z² 2.5

A: Here we will use cylindrical co ordinate system to find value of integral  By using above figure .r...

Q: Instructions My submission Discussions Project Title Give your project a descriptive title Show the ...

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Q: Suppose p, q, andr are propositions. Let the expression (p --> q) -->r be a contradiction. Which of ...

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Q: 3 Compute each matrix sum or product if it is defined. If an expression is undefined, explain why. L...

A: To Find -3A, B-3A, AC, CD

Q: 3 1. Let A = 9 -2 -6

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Q: Q/ find the root of the equation by false position y = x3 – 6x² + 10x – 4 ɛ<0.001 for above equation...

A: Given,  The equation is  y=x3-6x2+10x-4 we have to find the root of equation using false position me...

Q: Show that the hypotheses: It is not weekend today and it is gloomy than yesterday. (¬WAG) We will go...

A: We first see that not gloomy and sunny or not sunny and glooomy are equivalent.  i.e., ~Gloomy ≡Sunn...

Q: Use Stokes' theorem to evaluate the work done by the force field F = ((f(x, y, z), 5xy, x+ yz), wher...

A: As per the question we have to find the work done, which is basically a line integral of the vector ...

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...

A: The given problem is to show the given sum and product of two complex numbers in terms of polar coor...

Q: E FO Figure 1

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Q: If 72 students which represent 2/3 of the class participated in the Alay Lakad, how many students di...

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Q: n an apartment complex, there are 5 windows in each apartment, and 9 apartments in each floor. How m...

A: Given: Number of floors= 8 Number of apartments on each floor=9 number of windows in each apartment=...

Q: Define a recurrence relation and all necessary initial conditions for the following problem: A strin...

A: As per the question we have to form a recurrence relation for the number of ways to make a string of...

Q: 2. Evaluate the integral by first converting into spherical coordinates: a-y (a2-y2 a--y a2-x2-y2 (x...

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Q: 4. Use rules of inference to show that the hypotheses Vr(P(r)^ Q(z)) and Vr((¬P(x) ^ Q(x)) → R(x)) i...

A: We have to show that the hypotheses imply the conclusion using the rule of inference.

Q: 1. Solve the initial-value problem: y' + 4y = e4", y(0) = e -4t (a) Using Laplace transforms. (b) Us...

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Q: our bells toll at interval of 12 minutes,18 minutes ,20 and 25minutes.If they toll together at 10:00...

A: Given that four bells toll at interval of 12 minutes, 18 minutes, 20 and 25 minutes. And they toll t...