Z₁=2i8+2i9 Z₂=i4-3i¹5 find Z₁ Z₂

Q: e Va € R, if 1 ≤ a, then ³n € N, 2a + n n+1 <a

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Q: Q2) Which of the following series is converge or diverge 00 Σ ,0.7777777777777 η? n=1 Σ{} n=1

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Q: Suppose that Yt follows the stationary AR (1) model LaTeX:…

A: Given that Yt=2.5+0.7Yt-1+εt                         1  with Eεt=0 and Varεt=9 The standard ARt…

Q: Let α =21/8 and let K = Q(α,i). Show that (a) K is the splitting field of x8 −2 over Q and dimQ(K) =…

A: Given: α=218 and K=Qα,i.   To show: K is a splitting field of x8-2 over ℚ and dimℚK=16

Q: Example 10.21. Given y' : x(x² + y²) ex, y(0) = 1, find y at x = 0.1, 0.2 and 0.3 by Taylor's series…

A: Here, we need to use Taylor's series method and Milne's method.

Q: 2. The subset [a,b) of R is neither open nor closed. Prove it and construc an illustration.

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Q: Example 10.25. Solve the initial value problem dy/dx=x-y², y(0) = 1 to find y(0.4) by Adam's method.…

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Q: uppose h' is continuous at x = 0 and h'(x) = Find h"(0+), if it exists. tan(2x) — 1 if x > 0.

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Q: D²-2D+1)y = e^x logx

A: Given differential equation is D2−2D+1y=exlogx. We have to find the general solution of the given…

Q: Isosceles trapezoid RSTU, with K as midpoint of RS, Las midpoint of ST , M as midpoint of TU , and N…

A: Given that An isosceles trapezoid RSTU, as given in fig.

Q: Find the Laplace Transformation of -3x y" +3y + 2y 4e when y (0) = 2, y' (0) = 4 28² +16s+30 OY (s)…

A: Given differential equation: y''+3y'+2y=4e-3x, y0=2 and y'0=4To find: Laplace transform of the…

Q: I will only upvote if you meet the requirements 1) typewritten 2) complete solution 3) correct…

A: Given is some information about the function f(x), f'(x) and f''(x)   To Identify the equations of…

Q: 11.7 You want to purchase a car with a sticker price of $25,000. The car dealer offers you a $2,000…

A: Since you have posted a multiple question according to guildlines I will solve first question(11.7)…

Q: 7. Determine the lowest positive root of f(x) = 7 sin(x) e-* - 1: a. Using Secant Method with…

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Q: If [2x 3] 1 21 -3 0 8 = 0, then the value of x is

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Q: 10. 1²+2²+...+ n² = n(n+1)(2n + 1) 6 integer n ≥ 1. s 12 for every

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Q: 6x-25x+8x+43x--8x-12 (3x4-11x3 +9x²-11x+6) (9x² +12x+16) + C(3x+2)+D 9x²+12x+16] Find f - [Ax+B x²…

A: Given integral is      (1) Its reduction is ∫Ax+Bx2+1+C(3x+2)+D9x2+12x+16dx We can write it as…

Q: Find all Max., Min., saddle point for the function below: f(x, y) = x²³²+ 3xy ² - 15 x + y ² - 15 y

A: Given the function fx, y=x3+3xy2-15x+y3-15y We will find all maximum, minimum, and saddle points for…

Q: a. In cot(14i) b. (3er) c. z²2z = log(-2), Calculate the value/s of z d. (1-21)7

A: Given: Let's determine the given in  Rectangular form, a) ln cot1-4i b) 3e34πii c) z2-2z=log-2,…

Q: 5. [-/15 Points] DETAILS ZILLDIFFEQMODAP11 7.3.033. MY NOTES ASK YOUR TEACHER A 4-pound weight…

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Q: Solve the following Initial Value Problem using Laplace transfo -9t y" - 12y + 11y = e ;y (0) = 1,…

A: The given equation is y''-12y'+11y=e-9t Taking Laplace transform on both sides Ly''-12y'+11y=Le-9t…

Q: where êx and y directions, Jofingd C

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Q: If A = [1 31 (67] 0 A. 3300 OB. -900 OC. 900 OD. 1 O E. -1 find the (1,2)-entry of A300

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Q: Consider the ordered bases B = ((1,4), (2, 9)) and C = ((-1,2), (3, -3)) for the vector space R². a.…

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Q: Show that for all real x sin x 1 sin²x x + sin³ x x + 2 sin x 2 + sin x

A: We need to show that, sin x  - 12 sin2 x + 14 sin3 x - 18 sin4 x + ...... = 2 sinx2 + sinx Consider…

Q: Use Squeeze Theorem to evaluate lim x → to COS X loga x

A: To use squeeze theorem to evaluate the below limit. limx→∞cosxlogx2

Q: Determine the area that is bounded by the following curve and the x-axis on the interval below.…

A: As per guidelines we experts are allowed to solve only one question at a time. so kindly reupload…

Q: (1 + inxy) dx + (1 +5) dy = 0

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Q: Complete the table by finding the balance A when $18,000 is invested at rate r for t years,…

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Q: State a Euclidean postulate and provide real-world applications as examples. Limit answer in 50…

A: Euclidean postulate are given below:  A straight line may be drawn from any one point to any other…

Q: Three years ago, Pete took out a loan of $55,000.  The loan was taken out for 10 years with an…

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Q: P(5,2,-1), Q(1,-3,-2), T(4,1,5) forms a triangle. find the vector projection of Rqp perpendicular…

A: Given P(5,2,-1), Q(1,-3,-2), T(4,1,5) forms a triangle. Then the vector…

Q: Find the divergence and curl for the following vector fields. Describe the characteristics of the…

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Q: 3. Fxz²i + (1 - 3xy)j + yzk, A. xyi + 2yzj - 3yk B. zi + 2xzj - 3yk C. zi + 2zj3xk D. xi + 2yzj-3yk…

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Q: cos

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Q: 13. What is the class interval of the data below? Class Frequency 28-30 8 31-33 8 34-36 7 37-39 5…

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Q: y" - zy' +y = e²+t₂ y(0) = 1 y'(0) = 0, look for y(t) by Laplace Transform?

A: The solution is given as

Q: Choose the function that has the graph below. Hint: Look at where the vertical asymptote(s) and…

A: Solution:-

Q: Find the nth Maclaurin polynomial for the function. f(x) = e-x, n = 5 P5(x) =

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Q: Apply Milne's method, to find a solution of the differential equation y=x-y² in the range 0≤x≤1 for…

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Q: Let x = [1,1], y = [1,1] € R² and let f: R² ⇒ R² with f(z) = 2₁.x + 22.y for any z = [21, 22] € R².…

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Q: y = -1(x³) sec ³x cot √5coth x +6

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Q: • Evaluat the integral:- 푼 S S. seč (cosx) dx dy Sin y

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Q: Use Definition 7.1.1. Definition 7.1.1 Laplace Transform 0 ≤ t 0) ]de dt

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Q: Which one is a normal vector to the line which is perpendicular to the 8x - 3y = 9. A (8,-3) OB.…

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Q: Suppose that a function f(r) satisfies the following properties, together with the table of signs…

A: we have to use following relation between f , f' and f" * when f'(x) &gt;0 =&gt; function increasing…

Q: Let K be a Galois extension of F of degree pn where p is a prime. Show that there exist Galois…

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Q: The line L(t) = (2+1,8-31, 2t-6) intersects the plane 2y - 3x + 3z = -11 at the point

A: Given, the line             Lt=2+t, 8-3t, 2t-6                                   ...(1) Intersects…

Q: Write the following English sentences in symbolic form- 1. Birds fly if and only if sky is clear.…

A: We have to write the given sentences in symbolic form.

Q: Consider the following two ordered bases of R³: B C = a. Find the change of basis matrix from the…

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