7. + 1. Consider the line Find the equation of the line that is parallel to this line and passes through the point (-5, - 5). Find the equation of the line that is perpendicular to this line and passes through the point (-5, - 5).

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Q: f(t) = t cos 4t 8s 8s А. (s2-16)2 C. (s2+16)2 s2 +16 В. (s² –16)² s2-16 D. (s2+16)2

A: We have to find the Laplace transformation of ft=tcos4t

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A: We have to find the centroid of solid.

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Q: In Exercises 1-8, show that the given set of functions is orthogonal with respect to the given…

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Q: . Use Taylor's neries, to prove that ein z tan (x+ h)3tan" % + (h sin z). sin 3z sin 2z + (h sin zj…

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Q: Question 1 Apply the First Derivative Test to find the minimum value of f(x)=(2x^+2)/x² . Keep 4…

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A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: f(t) = t cos 4t 8s 8s А. (s² –16)? С. (s2+16)2 s2+16 В. (s2 –16)2 s2-16 D. (s²+16)²

A: To find the Laplace transformation.

Q: Let A E Mn.n: Show that AT A and AAT are similar.

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A: Given- A stone is tossed into the air from grounded level with an initial velocity of 35 m/s. Its…

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Q: 3 4 f(x) 0 2 4 6 8 10 12 14

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Q: Find the Laplace Transform of the following

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Q: Give 5 non-zero terms of Taylor series at x =1 for f(x) = In(1 + 2x). %3D

A: Taylor series of the function

Q: Exercises 6.1 In Exercises 1-8, show that the given set of functions is orthogonal with respect to…

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Q: what is the argument f the Complex number -1-i ? a. 60° C. -45° b. 니7/3 d. -3 /u

A: Argument of the complex number

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Q: f(t) = 2t2 + 4t – 3 4+2s-3s? А. 4+4s-3s? С. s3 s3 2+2s-3s2 В. 2+4s-3s2 D. s3 s3

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Q: 5. Compute sin a e + 3e¬z

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A: This is a problem of Diophantine equation.

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Q: Question Determine the value of p for the series below, using the fact that alo8»(n) = elog,(n)…

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Q: f(t) = te-6t 1 А. (s+6)2 1 C. (s-6)2 В. 720 D. (s-1)7

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Q: Consider the matrices A = and B = 0.5 -0.5|. -1 0.25 0.25) Is B the inverse of A? OTrue OFalse

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Q: Exercises 6.1 In Exercises 1-8, show that the given set of functions is orthogonal with respect to…

A: For first question using the results: sin(nπ)=0, cos(2nπ)=cos(0)=1 For second question:If the…

Q: Exercises 6.1 In Exercises 1-8, show that the given set of functions is orthogonal with respect to…

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Q: Let S = {a+ bi |a, b e Z , b is even}. Show that S is a subring of Z[i], but not an ideal of Z[i].…

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Q: Suppose that f: G → G such that f(x) = axa. Then fis a group homomorphism if and only if a = e O a^4…

A: Given that f:G→G be a function such that fx=axa

Q: Vx=0.

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Q: 80 24c 80 C = 24 Write the 80 as the product of 5 and a power of 2. Write the 24 as a factorial.…

A: This is a problem of Taylor's polynomial approximation.

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Q: 2-Solve the following logarithmic equations. a) Log, 2 – log 4 b) 2 + 5(3*) =3(3*) x +7/6=0 -

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Q: Express each one of the following in the standard form a + ib. 1 A: (1 + i)? (iii) 3 - i 3+4i 1+i…

A: standard form , a+ i b first part = a (real part second part = i b (imaginary part

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Q: The set of all even integers 2Z is a subgroup of (Z, +) Then the right coset -5 + 2Z contains the…

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Q: 3 – i -2+i 1 a) P = Ye= -2+i b) P = Yes No -i 0

A: Unitary matrice.

Q: 3. Using the following table find f(x) as polynomial in x x -1036 7 f(x) | 3 -6 | 39 822 1611

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Q: what IS the absolute value 7 -2 +i ? a. -J5 C. I b. J5

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Q: Find the D.E. for each of the curves determined by the condition that at each point (x, y) ,   The…

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