Differentiate: (etan(x)) /(1+x)  Show all working out.

Q: Prove that if A is closed and B is open, then A \ B is closed.

A: Solution:-

Q: Exercise 5. For the given functions f find all z E with f(2) = 0: (i) f(2) = sin () (ii) f(2) = 1+e=...

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Q: 8. Let (X, d) be a metric space, and A, B are subset of X, then (i) Fr(A) = A O (A)° = A – int A (ii...

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Q: (a) x +1 ¯ (ь) 2 a +1 10 a -1 -14-5r (c) - 1

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

Q: Find all the second partial derivatives. f(x, y) = x®y6 + 5x8y fxx(x, y) = (No Response) fxy(x, y) =...

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Q: The first term of an arishmetic sequence is 5 and the common difference is 5 find the nth terms of t...

A: The first term of an arithmetic sequence is 5. The common difference is 5. Formula: The n-th term of...

Q: Three points have coordinates A(2,6), B(8,10) and C(6,0). the perpendicular bisector of AB meets the...

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Q: Find the actual error when the first derivative of f (x) = e-2* at x = 1 is approximated by the foll...

A: It is known that ddxekx=kex. The actual error is calculated by subtracting the true value from the a...

Q: Let Xbe a nonempty subset of R. Show that if c E R is a cluster point of X, then for any n EN, there...

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Q: Trace the action of the algorithm below to determine whether the integers are relatively prime. a :=...

A: The given algorithm is                      a :=4,613 , b :=2,564 , r :=2,564while (b≠0)        r :=...

Q: For the number 1-10 use this given f(x)-x-2, find the following 1. RO). 2. R3). 3. f-1). 4. f14). 5....

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: Find all the values of the following : (1) (1 + /3i) Place all answers in the following blank, separ...

A: The polar form of a complex number z=a+bi is z=r(cosθ+isinθ) , where r=|z|=a2+b2 , a=rcosθ and b=rsi...

Q: Given is the following LP-problem. max Z = 7x1 + 5x2 + 6x3 + 8x4 + 2x5 4.x1 + 121 + 3x2 + 4.r3 + 5x4...

A: We solve the lpp by simplex method. And then find the dual problem of the given primal problem. To f...

Q: 3z2+z+1 Q4. (a) Evaluate using Cauchy's integral formula Sc (z2–1)(z+3) dz where C is the circle |z|...

A: The given problem is to evaluate the given complex integral over the given region using cauchy integ...

Q: Finding a Basis for a Column Space and Rank In Exercises 21-26, find (a) a basis for the column spac...

A: (a) We first find a basis for the column space. Then we find the rank of the matrix. We know that ra...

Q: Find the first partial derivatives of the function. z = (4x + 6y)5 az (No Response) ax az (No Respon...

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Q: A company has $12,890 available per month for advertising. Newspaper ads cost $190 each and can't ru...

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Q: Write each of the given numbers in the polar form re", -T <0<T. -27 -27 CoS +i sin 9 (a) r = 6 — 6і ...

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Q: Find a particular solution to y"+2y' + y =t

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Q: The area of a rectangle is the product of the length and the width, or Consider the rectangle below....

A: The given question is related with the area of a rectangle. Given a rectangle with length,  L = x + ...

Q: (28) Suppose 1 <N < w and h : w → N. Show that there exist a < b < c < d <e<w such that h(a) = h(b) ...

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Q: Which of the following is/are true about the function whose graph is shown below? (6,5). (1,4) (-4,2...

A: A function is said to be continuous at a point if there is no break in the graph of the function at ...

Q: (II) 1 f (x, y, z) = arctan 2 (x + y)²

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Q: Consider the function f : R? +R defined by f(r1, 12) = log(e + e). Is %3D f convex or concave ? Eith...

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Q: I. Find the first three terms of the sequence whose nth term is given by the formula. Show the solut...

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Q: Find (3)BA+ (4)AC, if possible. -3 0 2 2 -2 -1 -2 0 %3= -1 1 1 11 -3 -1 4 Select the correct choice ...

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Q: 14. Represent the Universal Set (U) = {x : x is an outcome of a dice’s roll} and set A = {s : s ϵ Ev...

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Q: Determine u and du. Show solution

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Q: Australia has a coastline of 25760km and Canada has a coastline of 202080km which country has a long...

A: Given that the Australia has a coastline of 25760 km and Canada has a coastline of 202080 km. We hav...

Q: fomulate the LP Model; identify the decision variables used in the model; and determine the optimal ...

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Q: A movie company is making plans for future movies it wishes to produce. The company has done a rando...

A: Introduction: When we collect a certain number of well defined object and make a collection with the...

Q: olve the recurrence relation a, = a,- t a,-2 with initial condition a, = 1, a, = 3. Jse generating f...

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Q: So, N 4 2 |1, N = 2 Suppose that Py(0) = and %3D dPy(t) 2(N – 1)PN-1(t) – 2N Px(t). dt (a) Find the ...

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Q: 1.) Does the following set of polynomials {t2 +1,t? +t,t + 1} span P2?

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Q: The price p (in dollars) and the quantity q sold of a certain product obey the demand equation q p =...

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Q: t) Let S be a linear transformation from R' to R with associated matrix A = ; 3 1 3 -1 2 be a linear...

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Q: Given the Matrices, find the following. Show complete solution 1 61 Mat A = magic(4), Mat B = 5 8 20...

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Q: (1,1),(2,2),(3,3)(4,4),(5,5) relation or function?

A: Given: R=(1, 1), (2, 2), (3, 3), (4, 4), (5, 5) To determine: Given set is a relation or function.

Q: Simslarly Solve x= fi 4

A: System of differential equations

Q: Find the absolute maximum and minimum values of f on the set D. f(x, y) = x* + y - 4xy + 3, D = {(x,...

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Q: Use the definitions and properties of hyperbolic functions to do te following: a) Solve cos hx = si...

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Q: Use technology to maximize the following. You may round answers to 2 decimal places if desired. Maxi...

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Q: -6 37 Зл Determine the exact value for sin(A+ B). 2 Given: sin A = <AS 2n, and tan B = - 7' 2 N3

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Q: Describe the following sets by roster method : Example (i) {x : x2 + 5x + 6 = 0, x e N} (iii) {x : 4...

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Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region...

A: Introduction: The washer method refers to this application of the slicing method. Because the slice ...

Q: 5s2-4s-7 7. (s-3)(s²+4)

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Q: Use this truth table to answer questions a), b) and c). Pe(P-Q) T. F F. x1 x3 T. F F x2 x4 a) Find t...

A: The given truth table is: P Q P↔Q P⊕P↔Q T T T F T F x1 x3 F T F F F F x2 x4

Q: What fraction of the banana did Juan and Raj put on * banana 35 3 banana 12 O ; banana 19 banana 35

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Q: 1. For the integral x3 +8 dx a. Use the Simpson's Rule with n= 4 to approximate the value of the int...

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Q: formulate the LP Model; identify the decision variables used in the model; and determine the optimal...

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