1. Find and sketch the convolution of h(t) =f(t)*g(t) where

Q: Shane is putting a fence around his pool. The total area of the pool is 4,864 square feet. the…

A: Shane is putting a fence around his pool.The total area of the pool is  square feet.The length of…

Q: Assume that A, B, C and D are sets. Verify that (A x B) U (C x D) ≤ (AUC) x (BUD).

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Q: Evaluate each of the following contour integrals: sin z 2² +π² dz; |z − 2i = 2 (1) fc fc $c -² sin z…

A: 1) a) Let              ,which  is  analytic inside and on C.Recall Cauchy's Integral formula: Let…

Q: Exercise 1.5.1 Determine which matrices are in reduced echelon form. (a) (b) (c) [6 120 017 1000…

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Q: The region bounded by the given curves is rotated about the specified axis. Find the volume of the…

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Q: 54. In this exercise we will show that {} is a functionally complete collection of logical…

A: To show that:a)  is logically equivalent to ~p.b)  is logically equivalent to . c) Conclude from…

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Q: Let A(t) = 3ti+2]-4k, y B-21-21-3tk and C(t)=-1+3tj+6k. find Ax (B-C) dt

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Q: what is the shortest route for the boy fly to get to the girl fly?

A: First the boy need to go straight by the corner.

Q: Consider N, the set of positive integers. a) Give an example of a partition S of N such that every…

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Q: A website requires you to choose a username that contains 4 letters followed by 3 digits. How many…

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Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is…

A: Given that the function is                                  .To find the limit of the given function…

Q: Let R be a commutative ring with unity. Then every maximal ideal of R is a prime deal.

A: Let R be a commutative ring with unity. Then we have to show that every maximal ideal of R is a…

Q: Two objects E and F are traveling by the following parametrically defined functions x = 2t - 4…

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Q: 2+2 -dz; = z²(z-1-i) (a) || = 1, (b) | - 1 - i = 1 (5) f 1 fc = 23 ( 2 - 4) (a) | = 1, (b) |z – 2 =…

A: 5) a) Let                  Cleary, g is  analytic inside and on C.Then, we can apply the Cauchy…

Q: Use the following graph of F to find each limit. 8 6 ● 10- 8- -2 Ay 6 4 -2 6 2 14 16 6 8 10 a) lim…

A: I have explained everything with in the solution .please go through .

Q: Find y as a function of tif y(0) = 2, y'(0) = 3. y(t) = 0 16y" + 104y' + 169y = 0,

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Q: What value(s) of & are an appropriate choice when proving the following limit? _lim_ (x² +7x) -6…

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Q: (c) Show that the sum of the first n odd-indexed Fibonacci numbers, n ΣF2k-1 = F₁+F3 + F5 + k=1 +…

A: Given a Fibonacci sequence .Where

Q: A region R consists of a square bounded by the lines x = -5, x = 5, y = 0, and y = -10 and a half…

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Q: No written by hand solution and no image Suppose that || · || and ⟨⟨·⟩⟩ are two norms on Rn. We say…

A: To prove that the given norms are comparable, we need to find constants c1 and c2 such that for all…

Q: It can also be shown: The rank of a matrix is equal to the number of its non-zero singular values.…

A: The rank of a matrix is equal to the number of its non-zero singular values.

Q: determine wether the given subset of the complex numbers is a subgroup of the group C of complex…

A: Given subset of complex number isThe set piQ of rational mulitples of piLet H = Set piQ of rational…

Q: Find the general solution of the given differential equation, and use it to determine how solutions…

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Q: 2z+5 (3) $ ,2 — 2z -dz: - 1 (a) \z\ = 2 ܕ2 = |1+ b( |z)

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Q: The water level in a large holding tank decreased to 16.5 feet. If it is up 23.15% from last week…

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Q: 1. Draw a point on your sheet and call it A. 2. Use red to draw a straight line through this point…

A: Take a sheet of paper with colored pens and follow the given instructions:1.2.Draw a straight line…

Q: The graph below is the function f(x) -5-4-3-2-1 lim x →1 M 2 + + -2- lim 2+1+ Determine the…

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Q: b) Let A = {x ER | x²+x+1>0}. What are the supremum and infimum of A? Let B = {x²+x+1 |x ER}. What…

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Q: 2. a. b. C. d. A 2-L plastic pop bottle is filled with water. A hole is made in the base of the…

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Q: Evaluate: In(1+i)

A: Let us take,now, substitute On squaring and adding these terms,we havenow on dividing the terms ,…

Q: Consider the following function and point. =X+2, (3,5) (a) Find an equation of the tangent line to…

A: The given function .The aim is to find the equation of the tangent line at the point  and sketch its…

Q: Let f(x) = = x³ - 2x + 1, to solve the root finding problem f(x) = 0, derive each of the following 1…

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Q: Given a set A- [p, 5, 7, m, n }, answer the following questions: a. Find the number of subsets of A…

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Q: SOLVE STEP BY STEP IN DIGITAL Calculate the inverse matrix of A and verify that A*A¹=I 2 1 +-( :-) 1…

A: We have to find the inverse of a matrix A, where                                           We know…

Q: Find a solution to the initial value problem that is continuous on the interval [0, 2π] where y(t) =…

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Q: Find the general solution of the system whose augmented matrix is given below. 1 0 0 0 - 4 0 1 0 0 0…

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Q: Q2/Solve differential equation. Uxy = cos(x + y)²

A: Q2: Given PDE is the following :integrating partially with respect to x,we get.Let,So we have again…

Q: For the series below calculate the sum of the first 4 terms, S4, and find a bound for the error.…

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Q: 71-72. One-sided derivatives The right-sided and left-sided derivatives of a f(a+h) − f(a) h and…

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Q: Suppose is the shaded region in the figure, and f(x, y) is a continuous function on R. Find the…

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Q: 14. Sanja and Co. manufactures toys and sells at three places, Agra, Benguluru and Chennai by using…

A: Let x,y and z be the numbers of toys produced at Agra, Bengaluru and Chennai respectively.Profit on…

Q: Show that the set of all real polynomials with a degree n ≤ 3 associated with the addition of…

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Q: The set B basis: [x]B = = - 3 -3 Find the coordinates of the vector x = -6 5 is a basis for R². [15]…

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Q: a) Determine which amounts of postage can be formed using just 4-cent and 11-cent stamps. b) Prove…

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Q: Indicate whether the function f(n) is O (g(n)) but not (g(n), or • (g(n) but not O(g(n)), or •…

A: Given that Now, Recall  some Important  Result :1) 2)  3)

Q: Find y as a function of t if y(0) = 2, y'(0) = 5. y(t) = 100y" +9y = 0,

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Q: 4: Ex 4.) Let S be a non empty bounded set in R. a ( a. Let azo, and let oS := {as: SES}. Prove that…

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Q: is it a binary option? is it associative? identity element= inverse elements=

A: 7. Given that and define a binary operation on S by                                           To…

Q: 1. Functions f and g are defined by f:xx-7x+6 and g:xx-1 where x = 0. Show that (f.g)(x)=x²-3x² -…

A: According to guidelines in multiple questions are given then to we have to do one question so please…