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Q: A piece of wire of length 67 is cut, and the resulting two pieces are formed to make a circle and a…

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A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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Q: Find the solution. dy x3- 2y dx xy= 3x3 2y2 +

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Q: Problem 3: Given the nth-term formula below, compute the first five terms of the sequence: an n=…

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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

Q: In the function P(x) = x² + 16, what is P(-4i) equal to? type your answer.

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Q: find the Laplace transform of x3

A: Given : To find the Laplace transform of x3

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A: We can solve the given partial differential equation using method of separation of symbols. In this…

Q: Using the theorem on determinants, show that 1 a a2 A = 1 b b2 = (b – a)(c – a)(c - b) 11 - с с2

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Q: Problem 2: You will be partially proving the following theorem: Theorem 6: Multiplicative Property…

A: Here  we will use two property of elementary matrix #Inverse of elementary matrix is also elementary…

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

Q: Find the solution. (D2+4D+4)y=0; when x =0, y=1, y'=-1. Ay = (1 – x)e2r y = (2 + 3x)e- y = (1 +…

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Q: Assume that the matrix A is row equivalent to B. Without calculations, list rank A and dim Nul A.…

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Q: (i ) 4. (a) Let A = be a 2 x 2 matrix. (i) Compute det(A) and tr(A) (i.e., trace of A which is the…

A: As each of (b),(c),(d),(e)  contains five sub-parts so (b) is solved.please re-post the question…

Q: Find the volume generated by revolving about the y-axis the area bounded by the curve y = (x - 2)^2,…

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Q: Measure and record the following masses b. 11 11 10 (1 kg) 10 (1 kg) 2 3 9. 3- Mass Mass (x 100g) (…

A: Given:

Q: 6. Determine whether P = and Q = 10,3,2 > are orthogonal vectors.

A: As per our guidelines we need to solve only one question. Please, repost the remaining questions as…

Q: A graph has a. Vertices O b. edges O c. A function that tells which two vertices are connected by a…

A: Note: We will answer the first question only as the exact one is not specified. Please resubmit the…

Q: 6x-7 4. S 를 In(4x2 + 1)-2 n(2x + 1)-승Tan-1(2x)| + C (2x+1)(4x2+1)

A: 4 Given integral is ∫6x−72x+14x2+1dx. First of all we will take a partial fraction of 6x−72x+14x2+1,…

Q: -x², 5х - 4, 4x* - 3х, 1<x<2 X <0 0 <x<1 If f(x) = then f(x) is discontinuous at x = Зх + 4, x 2 2…

A: f(x) is discontinuous at x if left hand limit not equal to right hand limit

Q: Consider the function 1 1- x4 Write a partial sum for the power series which represents this…

A: In the given problem first the concept of geometric series is discussed. Then by choosing particular…

Q: Find the surface area of a cylinder with a base radius of 2 m and a height of 5 m. Write your answer…

A: Given:A cylinder with a base radius of 2 m and a height of 5 m

Q: Given y1 (t) = t and y2(t) = t¯1 satisfy the corresponding homogeneous equation of t²y' – 2y = - 1+…

A: Given y1(t)=t2 and y2(t)=t-1 . To find the particular solution .

Q: Find the solution. (D³ - D']y = 0 y = c, +cx+czx²+c,e'+cge" y = (e, +c,)xe* +czx +c,e +cge* (c y =…

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Q: 5. Chose the curl of f (x, Y, z) = x² i + xyzj-zk at the point (2, 1, -2). a) 2i + 2k b) – 2ê-23 c)…

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Q: 9. Find two vectors that are orthogonal to the plane containing the points P = (4,-2,1) and R…

A: Since there is multiple questions, we will solve the first question. Repost the question again and…

Q: 5? 5 5*| The value of 5' 5 5 is: (a) 5? (b) 0 (c) 513 (d) 5

A: In the given problem we have to find the value of the determinant.  We find the value of the…

Q: Find the Laplace Transform fit) = sin(2t) cos (2t) 2 A F(8) = g2– 16 B F(s) = s²+ 16 © F (s) = s2-…

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Q: On July 3, the ABC corporation closed at $43.67. This was a $0.47 increase from the close the day…

A: Given on July 3 the ABC corporation closed at $43.67. this was a $0.47 increase from the close the…

Q: determine the inverse Laplace transform of the given function. 6 s2 + 25

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Q: For demand function 2 = a-bP and supply function Q, = dP-c , using Cramer's rule determir..…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: You work for a utility company that burns coal to generate electricity.  The cost C (in dollars) of…

A: given cost function C=100,000p100-p where C is the cost and p is amount of smokestack pollutant. (1)…

Q: Find ProjS(u) where S is the space spanned by v1= (1/3)(2,1,2) and v2= (1/3)(-2,2,1). Find the…

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Q: (n + 1)(2n + 1)/6 for the positive integer r )What is the statement P(1)? -) Show that P(1) is true,…

A: Given, P(n) be the statement that                 12+22+ . . .+n2=n(n+1)(2n+1)6  for the positive…

Q: Prove the following statement using an element-chasing argument. If ACBUC and AN B= Ø then A C C.

A: Let x be any arbitrary element in the set A.  Then as A is a subset of B U C, x must be an element…

Q: by using the (graphical method) find the optimum solution of X1, X2 that the maximum Z=10X1+25X2…

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Q: f(t) = t5e4t 120 А. (s-4)6 24 С. (s-5)6 120 В. (s-4)5 24 D. (s-5)5

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Q: Using the theorem on determinants, show that |1 а a? b b2 = (b – a)(c – a)(c – b) c2 A = 1 %3D

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Q: 3. Determine which of the following sets of functions are subspaces of F[a, b]. a) All functions f…

A: NOTE: According to guideline answer of first three subpart can be given, for other please ask in a…

Q: 7. Solve the given differential equation. * SHOW YOUR COMPLETE AND CLEAN SOLUTIONS. 2r² (x² – x)…

A: The given differential equation is of first order but not first degree.  Such equation can be solved…

Q: 4. Determine the number of zeros of the function f(z) = 2z* – 2iz³ + z² + 2iz – 1 in the upper…

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Q: f(t) = te3t cosh 4t s2-6s-7 А. (s2-6s+25)2 s2-6s+7 С. (s2-6s-25)2 s2-6s+25 3. (s2-6s-7)2 s2-6s-25 D.…

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Q: 3s - 2 Find the Inverse Laplace Transform of G (s) = 2s² – 6s – 2 A 8(1) = 3e 2 sinh cosh 13 B 8 (1)…

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Q: FALSE and give a counterexample and justify or explain briefly why this is such. (a) Let A and B be…

A: Here we use examples and theorems for sequences.

Q: 1 1 1 1 --1 2 1. A = -1 2 1 3. 3 2 1-10 0 -10 0. 6. -5 0 10 2. B = -2 4 -5 -4 -2 From the given of…

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Q: Find the solution. 2y" - 3y' + y = 0 A y = c e y = c e

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Q: 21 then find the value of (- A2 + 6 A)? 4 If A 3 -2 1. -2 [2 07 0 2 [2 4. elect the correct…

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Q: 3. In the following exercises, justify your answers using truth tables. (a) Are PV (Q A R) and (P V…

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