1 Consider the definite integral dx: o (26 – 7)6 This can be transformed into a basic integral by letting and du dx Performing the substitution yields the integral du a where a = and b =

Q: 2. Гcotб xdx

A: We need to find , ∫cot6 xdx ∫cot6 xdx = ∫cot4 x × cot2 xdx ∫cot6 xdx = ∫cot4 x (cosec2x - 1)dx      ...

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Q: lease solve for q2. I wa

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Q: 1. Determine whether the following argument is a valid argument or a fallacy: q = p, ¬q F p.

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Q: 29. In Theorem 9.8, if f'(x o) = 0, no conclusion can be drawn about the equilibrium point xo of x' ...

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Q: If f (x, y, z) = a°y°z2 + z°x°y, then 33 fyzzzzz (1, 1, 1) - %3D

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Q: 3.17 Supposep<1, p # 0. Show that the function 1/p f(x) = ( i=1 with dom f = R+ is concave. This inc...

A: There are three important inequalities in functional analysis. These are Cauchy-Schwarz inequality, ...

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Q: Hank made payments of $105 per month at the end of each month for 30 years to purchase a piece of pr...

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Q: Does the sequence (a converge or diverge? Find the limit if the sequence is convergent. (3n +7)! a, ...

A: A sequence an is convergent if it approaches to some finite limit. That is, if  limn→∞ an = L and if...

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A: This is a problem of Metric space and Topology.

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Q: +ッ) By'k dy =0 dx + メ オ 9こ2

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Q: 5. Compute the 1st and 2nd degree Taylor polynomials L(x, y) and Q(x, y) for f(x, y) = x /ỹ at (1,4)...

A: Given function is fx,y=xy Taylor polynomial at point a,b is fx,y=f(a,b)+x-a∂fa,b∂x+y-b∂fa,b∂y+12!x-a...

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Q: For the following amount at the given interest rate compounded continuously, find (a) the future val...

A: We know that, Continuous compounding formula, A = Pert Where ,  A = Final value ,               P = ...

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Q: why can't we divide by zero?

A: The reason for "Can't divide by zero" is given below. The reason that the result of a division by ze...

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Q: A(x) (8,192) House Figure 1 Figure 2 Tessa has 48 ft of fencing available to construct a fence that ...

A: Given x = width and length of fencing = 48 ft let , y =  length  Therefore length of the fencing = x...

Q: Show that the Gaussian solitary wave u(t, x) = e=}(2+31)² is a solution to the logarithmic Korteweg-...

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Q: 4. Let W1 and W2 be subspaces of a vector space V such that V = W1 + W2. Let B be a basis for Win W2...

A: Given: W1 and W2 are subspaces of a vector space V such that V=W1+W2. β is a basis for W1∩W2, β∪β1 i...

Q: 1. Determine if the vectors e2t and e-t are linearly inde- e2t e-t pendent/dependent.

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Q: 5. Find all the values of the argument a with which the equation tg(2n (x +)· lg(4x + a + 3) = lg(4x...

A: We will use basic knowledge of sets and functions to answer this question as follows.

Q: Question 19 Which of the following is CONTRADICTION? A (¬(¬P v P)) ^ P B (¬P v P)A ¬P (¬P v P) v ¬P ...

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Q: For the following question, A) Use your student id's last 6 numbers and create 2 x 3 matrix. For exa...

A: Solution A: Since given roll number is 2 0 0 1 3 1 for write it in form of 2×3 matrix, it means ther...