Use integration by parts to compute the integral S xsin(4x)dx and Inx dx

Q: (b). If a, = 4, az = 7 and ag = 2ax-1 – ax-2 + 2 for k 2 3, then a, = n² + 3, V n ɛ z*.

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Q: (b) Consider the integral * x2 cos x dx I = x4 + 5x² + 4° -00 (1) Find the roots of z4 + 5z? + 4. (i...

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Q: Juanita saved $5 out of every $8 that she earns. If she earned $324.16, how much did Juanita save? O...

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Q: Amanutacturing oompany receives orders for engines trom two assembly plants. Plant I noeds at least ...

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Q: 3. a. Graph the following function: f (k) + 4 = 3–2x-m + 8 b. Solve the following equation: log(x – ...

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Q: 2n bị 2n 2n paz x a, , b2 = a, xa x a, , bz = a, x -аз ха,,

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Q: A couple wants to plant some shrubs around a circular walkway. They have seven different shrubs. How...

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Q: 1– x2 lim r--00 3 + 2x – x3

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Q: Let

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Q: Here are Spock's given assumptions of Tribble population growth: * Initial population = 1 * 3 days o...

A: The population is increasing exponentially which can be formulated as follows:

Q: The given two-parameter family is a solution of the indicated differential equation enter the soluti...

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Q: Use the accompanying figure to write each vector listed as a linear combination of u and v Vectors b...

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Q: given two sets X={-1,0,1} and Y={u,v,x,y,z}. There are 125 mappings from X to true or false

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Q: + Crun) 2. You are given that T: U → X is a linear transformation. Prove that, T(c,u, + C2U2 + ..+ C...

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Q: 1 Given f : [2, 0) → R, Prove that fn(x) = converges uniformly to f(x) = 0. 1+ x"

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Q: 3. Use function f(x) = *** to show that Card(R – {5}) = Card(R – {1}) step by step. (Note: Card(A) r...

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Q: 31.log13(68)

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Q: Jsing the technology matrix A = 2 , find the production schedules that satisfy the following demand ...

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Q: All rings are commutative, and k is an algebraically closed field. 1. Let R= k(x1,...,xn]. Verify th...

A: According to our guidelines, we can answer only first question or its first three subparts. kindly r...

Q: Calculate the following products and sums or give reasons why they are not defined. i. Aa, Ab, Ab™, ...

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

Q: Find the Fourier transform of f (x)- 2ix if -1<x< 1 lo f(x) = otherwise

A: The Fourier transform of the function f(x) is defined as ∫-∞∞eikxf(x)dx. The Fourier transfrom trans...

Q: 3x+5, p) The function f(x) is defined by f(x) = • If lim f(x)exists, what is th 1- 2x+b;if x>1

A: If the limit of the function exists , then left hand limit is equal to right hand limit. therefore l...

Q: 시e (+-2) u(1-2) T 2-7

A: Some of the proprieties of Laplace transform Lu(t-c)g(t)=e-2cL[g(t+c)] Ltneat=n!(s-a)n+1 Leat=1s-a

Q: Find: Tx;TyrTxy Tyy

A: Please find attachment for the details solution 

Q: 4. Determine whether the sets span R' for part a and R' for part b. If the set does not span R? for ...

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Q: Solve the given differential equation by undetermined coefficients. y' + y = x² - 4x y(x) =

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Q: Let (x, y) E R × R. Consider the following functions from R? to R? r(х, у)) %3D (-у, х) and s(x, y))...

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Q: 1. Determine whether the set W =- ER,x, is a subspace of R' with the standard operations. Justify yo...

A: Given the set W=x1, 1x1, x3 | x1, x3∈R, x1≠0 We have to determine whether W is a subspace of R3with ...

Q: Find the general solution of this ODE: d?y dy + 34y = - 2e 4t + 10- dt? dt The solution will be of t...

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Q: 1. Discuss the difference between backward difference, forward difference, and central differer meth...

A: The derivative of a function can be approximated numerically. When a set of data points are given, u...

Q: at the local health food store, macadamia nuts are priced at $0.45 per ounce. Taylor measures out 1 ...

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Q: Find the solution of the equation cos y ay? which tends to zero as x → 0o and has the value cos y wh...

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Q: 12 1. F(s) = 3s-4 3s-34 2. F(s) s2 +4

A: Properties of inverse Laplace L-11s-a=eat L-1as2+a2=sinat L-1ss2+a2=cosat   

Q: dife equa Oʻu 4. -+X- +x +18 2

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Q: For the following alternating series, 00 Σ 1 + 10 1 +. 1000 an 1 100 n=1 how many terms do you have ...

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Q: Let 'f be a continuously differentiable real valued function defined bx+a x<1 by f(x) = 5x² Then the...

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Q: Find: Zx; Zy, Zxy Zyx+ Zxx 근y Xy 군 = e Lny

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Q: Verify directly that the relation y = C3 e cos bx + c4e sin bx satisfies the equation [(D – a)² + b?...

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Q: 23. In the figure, the shaded region bounded by the curve y = 8 - and the line y = a (where 0 <as 8)...

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Q: 9. Solve for x. (13x – 1)*

A: Part (9):- Given that  

Q: given two sets X={-1,0,1} and Y={u,v,x,y,z}. There are 3x(3-1)x(3-2)%36 onto mappings from X to Y. t...

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Q: Consider the following sets, with U = N; that is, the universal set is the set of natural numbers an...

A: A set is the mathematical model of a collection of things: a set contains elements or members, which...

Q: e lim tan(x).

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Q: use pegasus method (root-finding method) for the function f(x)=x^2-3

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Q: Consider the following cube with a side length equal to 5 cm. 5 cm 2a Find the surface area of the c...

A: q-2 given cube of side length 5 cm find the surface area of cube  solution it is known that surface ...

Q: 5. Parametrize the contour depicted below that consists of three line segments; semicircle centered ...

A: As per the question we have to parametrize the given anti-clockwise conture in the 2d complex plane,...

Q: 4. Evaluate the following integrals: a) (22x +5e-*)dx b) S(esecnx sec Tx tan x)dx -In 16 e*/4

A: # we are entitled to solve one question at a time  please resubmit the other questions if you wish t...

Q: Here are Spock's given assumptions of Tribble population growth: * Initial population = 1 * 3 days o...

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Q: 7. When graphing an inequality, inequalities that are less than or greater than would have a - . If ...

A: While graphing the inequalities that are less than or greater than would have ........... If the ine...

Q: 1. • If r + 1| < o, prove that |r³ + 1| < 0.331.

A: Here we use the fact  | x |&lt; a implies  -a&lt; x &lt; a .