The divergence of the vector F = a²yî + æyz} – a*y°k is x2 y? k is -

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Q: Minimize z = x + 4y Зу + 4x > 24 Зу + 2х > 16 Subject to 2y + 2x > 14 Minimum is at y = AI AL AI

A: The given problem is to solve the given linear programming problem. We have to use graphical method ...

Q: Find the convolution of (a) Ila * IIa. (b) f(x) * f(x), where f(x) = e-l=l, -0 < x < o. %3D

A: Convolution : The convolution of two functions f(x) and g(x) is given by f(x)*g(x)=∫-∞∞f(y)g(x-y)dy ...

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Q: Find the value of J_{-1/2} with the help of J_ {1/2} Explain each step otherwise i will give downvot...

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Q: es the circle in this se

A: Introduction: One of the elemental ideas in Arithmetic is that the idea of sequence and series. Sequ...

Q: 2.1. Prove that B Is erse of A -17 11] -7,B: 0 3 2 [1 1 2 2 4 -3 [3 6 -5] 2 A = -1 11

A: To prove that B is the inverse of A. 

Q: Group Activity: Binary Operations Activity: Show that the following are binary operations on the spe...

A: Introduction: A binary operation is nothing but a function that maps from the Cartesian product of t...

Q: Solve the given initial-value problem. у" + 4y' + 5y %3D35е 4х, у(0) %3D —6, у'(0) %3D 1

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Q: Let g(x):= Then (x – 1)2 - lim g(x) = 00. plicit formula for a function f such that lim f(x) = 0 and...

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Q: Vraag 10/ Question 10 1 0 -1 2 1 1 A = W = span{a1, a2, a3}. and aj a2 a3 Let 3 2 10.1 Determine if ...

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Q: 4. Replace the force system on the post by a resultant force, and specify where its line of action i...

A: Given that Force (F1 ) =250N F2=500N We have to find Replace the force system on the post by a resul...

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Q: Express the area bounded by the graph of g(x) and the x-axds as an integral on the interval (-, ) in...

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Q: Given the system of equation below; 3x – 6y + 2z = 23 -4x + y – z = -8 x – 3y +7z = 17 Solve questio...

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Q: Prove that for any integer a, 3 divides

A: To prove that for any integer a, 3 divides (a-3)(a+4)(a+2).

Q: 3. Prove that if n is a triangular number, then so are 9n +1, 25n + 3, and 49n + 6. Hint: Recall tha...

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Q: | 0, N # 2 and Suppose that PN(0) = |1, N = 2 dPy(t) 2(N – 1)Px-1(t) – 2N Px(t). dt (a) Find the exp...

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Q: Show Hhat the series Canverges to 1 Kei (K+)!

A: Introduction: The ratio test is one of the basic tests to verify the convergence of a given series. ...

Q: 48. Let f be a function defined on ]0, 1[ by : 0, if x is irrațional f (x) ={1/q, if x=p/q; where p ...

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Q: Find the local maximum and minimum values and saddle point(s) of the function f (x,y) = e* cos y. Us...

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Q: Prove that the following statement is false: The product of any two irrational numbers is irrational...

A: Introduction: The formal definition of an irrational number is that an irrational number is such a n...

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A: Homogeneous differential equations with constant coefficients

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Q: 2, 0<t<1 5. Using the definition, not the table, find the Laplace transform of f(t) 1st<2 t22. 4 -ds...

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Q: TASK A. Find the midpoint of AB. The name of the midpoint is W. TASK B. Draw the angle bisector of 2...

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Q: 12. If A = {1, 2, 3} and B = {1, 2, 4, 5} ,  then find A Å   B .

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Q: Suppose that the demand function for Brand X is P = 360 - 50Qd. Show whether going from 3 to 4 units...

A: If the change in quantity demanded due to a change in price is large then its called an elastic dema...

Q: Consider the 2nd order linear equation with constant coefficients: y" + ay + by = 0. %3D If ri and r...

A: Let the roots of the quadratic equation: mx2+nx+p are α, β. Then it can be written that the sum of t...

Q: Which of the following is a tautology? а. (рVq) —9 b. (рлq) —9 c. (pV ~ q) → q d. (p^ ~ q) →q a O b ...

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Q: Let A be a non-empty set of positive numbers, which is bounded above and let B = {x e R: 1/x e A}. 1...

A: Remark: Completeness property of R: Every bounded above non-empty subset of R has a least upper boun...

Q: X1 xí V = 1 X2 X3 det V = (x2 – x1)(x3 – x)(x3 – x2) Let x1, x2 and x3 be fixed numbers all distinct...

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Q: THEOREM 23. Let K be an integral operator on L,([a, b], a) Kf = | K(x, y)f(y) da(y) %3D where | |K(x...

A: Given that K is an integral operator on L2a, b, α, Kf=∫abKx, yfydαy With the condition that,  ∫ab∫ab...

Q: Calculate the value of √102-√101 correct to four significant figures.

A: We have to calculate the value of 102-101. Now, by using calculator, we get 102=10.0995 And 101=10.0...

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Q: 1. x > x

A: As per our guidelines we are supposed to answer only first question please repost other parts in the...

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Q: Let f: R R be a function defined as f function is one to one.

A: (a) Given, f:ℝ→ℝ be a function defined as                                  f(x)=(x+2)2              

Q: Find the Taylor series centered at e- -1. S(x)= 3x -2 Identify the correct expansion. 3* (x + ly (x+...

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Q: S. Activity 2: Make Me an Equation Use a variable to represent an unknown quantity and then write an...

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Q: stion 12 Using the known standard Taylor power series formula, evaluate anx) dx with n=3 nonzero ter...

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Q: c) not a tautology. pV ¬q (pV ¬q) → q True True False True True True False True True False False Tru...

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Q: A palindrome number is a number that remains the same when its digits are reversed. For example, the...

A: Divisibility condition of 11 is : -Form the alternating sum of the digits, or equivalently sum(odd) ...

Q: 1.3 write the fallowing integral (a) e | Determine whether the folawir Converges or diverges. x- 3x°...

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Q: Using power series to solve the differential equation y'+xy=0

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Q: Let f(x) = a and g(x) = 5(r- 2), for r E R. The graph of g can be obtained from the graph of f using...

A: given function fx=x3 , gx=5x-23 , x∈ℝ a) give a full geometric description of each of the two tranfo...