Show that if z = x+ iy, then: | cosh-z|2 sinh x Hint: use the equation: | coshzf = sinhx+ cos"y

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Q: Use the Root Test to determine if the serieS Σ (-1)" 2/n en? (2n2 – 1)" CONVERGES - n=1 converges or...

A: We have power series ,  ∑n = 1∞nn4 + 12x - 13n We need to find interval of convergence. We know the ...

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Q: Use the cutting plane method to solve the following IP: max z = x1 + 2x2 x1 + x2< 10 s.t. 2x1 + 5x2 ...

A: First draw the line x1+x2=10 and mark the region for the inequality x1+x2≤10.

Q: 4. S dx 9-x x2-1 dx 5.

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Q: 3. Call a functionf:N N eventually nondecreasing if the set decr(f) = {n €N|S(n +1) < f(n)} is finit...

A: We will use the basic knowledge of mathematical logic to answer this question. Let ∑ denote the rang...

Q: Use the laplace tranform to solve the following initial value problem (e) y" - v = -205(t – 3), (0) ...

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Q: Question 2: (a) Insert 4 arithmetic means between 1 and 15.  (b) Insert 5 geometric means between 3 ...

A: (a) To insert 4 arithmetic means between 1 and 15.

Q: Find the volume generated by revolving bout the line y = -1 the area bounded by (x – 2)² = 4()y + 2)...

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Q: Express the given complex number in exponential form into a + bi form. 157 2e 6 1 + i3 - \3 + i 1 - ...

A: The given complex number is ;                                     z = 2e5πi6 We have to find this co...

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Q: Find two unit vectors in 2-space that make an angle of 45° with 8i + 5j. NOTE: Enter the exact answe...

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Q: (a) Prove that if ao, . . . , an-1 are any complex numbers, then there are complex numbers z1, , zn ...

A: As per the question we have to prove that for any set of complex numbers a0 , a1 , ... , an-1 The po...

Q: 3. [15] The following data can be used to approximate the integral M sin(a²) dr. N(h) = 2.50663, Ni ...

A: Given, M=∫02πsinx2dxN1h=2.50663N1h2=1.66875N1h4=0.88018N1h8=0.88894To find: N4h  

Q: Determine whether the given series is convergent or divergent. Justify your answers.

A: We have given a series ,  ∑n=3∞2n3 We need to determine given series convergent or not. for that tak...

Q: Find the area of the parallelogram that has u = i-j+ 2k and v = 3j + 2k as adjacent sides. NOTE: Ent...

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Q: Question 1 The velocity (in m/s) of a rocket is given as a function of time (in seconds). The table ...

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Q: Consider the system of linear equation below: A+ 2B + 3C + 4D = 8 2A - 2B - C + D = -3 A - 3B + 4C -...

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Q: ii) Solve (x D² - 3xD+4) y = x given that y(1)= 1 and y'(1) = 0.

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Q: A man borrowed P2000 from a bank and promise to pay the amount for one year. He received only the am...

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Q: Instruction: Answer the following. Show all your solutions. 7. a. Find the volume V(S) of the solid ...

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Q: A. In the figure below, CE and LA are diameters of ON. Use the figure to answer the following. If mL...

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Q: 2x3 dx (x² + 1)2 4.

A: To evaluate ∫2x3(x2+1)2dx

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Q: sin 2t (i) Find the Laplace transform of

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Q: 1-18i C. Find the complex numbers z that satisfy the equation 4z – 3z = 2-i

A: We have to find complex number Z

Q: Express the given complex number in rectangular form into polar form. -5 – 5i3 ○ 5/2 [cos(플) + isin(...

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Q: Find the volume generated by revolving bout the line y = -1 the area bounded by (x – 2)² = 4(y + 2) ...

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Q: 11. Which model seems most appropriate for this scatter plot? a. linear b. quadratic c. exponential ...

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Q: Find the antiderivative, G(t), of the function g(t) = (2n²t² – t*)v2n² – t².

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Q: Question 2. Consider the 2n x 2n block-diagonal matrix A, made up of n blocks (* :) of 2 x 2 matrice...

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Q: A team of scientists are studying two species of deer in a park who are competing for the same grass...

A: We will be solving part(b) as mentioned. The given system of differential equation is: dxdt=x2.20-0....

Q: Let V denote a vector space over F. Suppose {B1, B2,..., B1, B41} is linearly independent in V and {...

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Q: Determine the intervals on which f'(x) is positive and negative, assuming that given figure is the g...

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Q: Find a power series representation of f(x) = x tan¬'r

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Q: Given the series: 3 k=1 does this series converge or diverge? O converges O diverges If the series c...

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Q: 1. Express the following proposition in a symbolic form by defining atomic propositions and construc...

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Q: three point  x,y,z have coordinates (3,0), (-2,3), and (5,4) respectively. find the equation of the ...

A: The three points are given as ;             x = (3, 0) ,   y = (-2, 3) ,   z = (5, 4) We have to fin...

Q: Find the volume of the solid generated of the area bounded by y = x², y + 2x = 8 and y = 0, rotated ...

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Q: A company produces regular and deluxe ice cream at three plants. Per hour of operation, Plant A prod...

A: Let plant A operate x1 hours, plant H operate x2 hours, plant M operate x3 hours in order to produce...

Q: Graph ARST with vertices R(4, 1), S (7, 3), and T (6, 4) and its image after the glide reflection Tr...

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Q: The graph of y = VI is given below: %3D 2- -2- Find a formula for each of the transformations whose ...

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Q: n²(n+2)! Which of the following is TRUE for 00 n!32n Lütfen birini seçin: a.Diverges by Alternating ...

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Q: Find the area bounded by y = sin(x) and y = sin (x) from 0 <xs. %3D %3D

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Q: Find real numbers x and y such that ty 2 2 - i i+3 1 +1

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Q: Evaluate L-1 [6s-5' s²+95

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Q: 1. Determine if the series cos" (;) en? n=1 is absolutely convergent, conditionally convergent, or d...

A: Root test, for converge

Q: Find the optimum point of this given function using Gradient Descent method and show the error (2 it...

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Q: A chord is drawn perpendicular to the x-axis on the ellipse 9x2+16y2=144 with the ends of the hypote...

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Q: Find the set of points that is satisfied the condition described by |z – 2i|+ |z + 4i| = 10

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