Find the roots of complex numbers √√64 e¹.4i if n=4, k= 0,1,2,3 k=0, z1= k=1,z2= k=2, z3= k=3, z4=

Q: A path C is defined by the parametric equations z(t)=t, y(t) = 2t, 0<t<1, and a vector field is…

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Q: What function will you differentiate to get each function? 3. g(t) = -3t2 + 12t - 17

A: The given function is gt=-3t2+12t-17 To find: a function such that differentiation of that function…

Q: Q1: In Euclidean metric space (R, I. I), prove that (1-2)→1 as n →∞o in R. cm² ID : (1) 13 compact?…

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Q: In the figure, O is the centre of the circle. AOC is a straight line. Find x.

A: `Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: the par level for reorder of enablex (darifenacin) for overactive bladder is 500 tablets. The…

A: according to question, number of tablet already available125 tablets also, for inventory 500 tablets…

Q: 33. Solve the initial value problem y' = 2 cos 2x/(10+2y), y(0) = nd determine where the solution…

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Q: A curve is defined by the parametric equations Find the length of the curve from t=1 to the closest…

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Q: (7) Find the area of the surface given by √x² + y² ≤ ≤√4-x² - y²

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Q: H=40cm 3 A in --->

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Q: rest at 7% payable i

A: The rule of 78 is a rule which helps in calculating the extra interest that needs to be refunded to…

Q: Let R[r], be a linear space with all polynomials p(x) = az²+bx+c (a,b,c ER) whose degree is no more…

A: We have to find the matrix A representing L with respect to the given basis. Then we can proceed…

Q: 2. If Mr. Eugene is the manager's neighbor, then Mr. Eugene lives halfway between Talisay and…

A: We can use formal proof of validity.

Q: Let y' = - ty + 0.1y³ and y(0) = 1.1. Use Euler's method to find approximate values of the solution…

A: Euler's method uses the formula: yn+1=yn+hf(xn,yn) to approximate the value of y at specific values…

Q: Adam has $450. He spends $210 on food. Later he divides all the money into four parts out of which…

A: Given that Adam has $450 and e spends $210. We have to find the final expression and find the money…

Q: 28. The complete graph with six vertices has k edges where k is A. 30 B. 15 C. 16 D. 14

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Q: Q1: (a) If (M, d) be a metric space and A M. Prove that A is the largest open set in M that…

A: The interior, or (open) kernel, of A is the set of all interior points of A: the union of all open…

Q: A certain company gave out P 25 dividend per share for its common stocks. The market value of the…

A: Answer: Stock yield ratio = 27.17%

Q: Question No. 1: Part:a: For matrix -1 4-2 A = -3 4 0 -3 1 3 Calculate all eigenvalues and…

A: The given problem is to find the eigenvalues and eigenvectors of the given matrix and verify the…

Q: If the functions y₁ and y2 are linearly independent solutions of y" + p(x)y +q(x)y = 0, then its…

A: Given the functions y1 and y2 are linearly independent solutions of y '" + p ( x ) y' + q ( x ) y =…

Q: 30. Evaluate dx 0 A. 6.667 B. 7.333 C. 5.333 D. 4.667

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Q: Box the final formula of the sequence: 17, 20, 25, 32, 41, ... Note that you are only able to find…

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Q: Advanced Math solve system of differential equations by laplace G-V=3 y+v=-X² u(0)=0 v(0)=1

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Q: Consider the initial value problem of a system of linear differential equations x' = Ax+eAt "A], =…

A: The Given Initial value problem is: x'=Ax+eAt01 , x(0)=10, Where A is 2×2 Constant matrix. Let…

Q: divisible by 3

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Q: 5. Consider the sequence {a} defined recursively as: a = 0, a₁ = 1, an = an-1 + an-2. Prove by…

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Q: Exercise 9. Consider the vector field F = (sin x + Vy VE (x − 5)² + (y – 5)² ≤ 4}. Then Varey A) F…

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Q: Using the Laplace transform, solve the IVP. y₁(t) = Y₂(t) = y₁ = 5y₁ - 4y2 - 9t² + 2t, y₂ = 10y₁ -…

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Q: 2. A cylindrical tank of radius 20 feet is being filled with water at the rate of 600 cubic feet per…

A: Given that radius of cylindrical tank is 20 feet and water fill at the rate 600 feet/minute. To…

Q: (3 x y² + 14+ 5x³ y³) dx + (14 x y¹ + 5 x4 y² + 4y x¹) dy = 0 xm yn

A: Let us consider a differential equation Mdx+Ndy=0 Then the differential equation is exact if…

Q: A local government official observed an increase in the number of individuals with cardiovascular…

A: Given: Weight loss program data Total number of participants in the population n=28 2 2.2 0.3 2.4…

Q: You deposit $100 each month into an account earning 6.3% interest compounded monthly for 30 years.…

A: Here given  Principle amount P=$100 rate r=6.3% time t=30 years,

Q: Please help with this question: Find the equation of the line or plane  a) Plane parallel to the…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: 8 Suppose x:[0,00) [0, 0) is (x+)²2 52 + (x(sis, Stx following is true? + x(F) [012] 3) x(s)c[六]…

A: The given differential equation is (x(t))2≤2+∫0tx(s)ds with x(0)=0. where x:[0,∞)→[0,∞) is a…

Q: T B. Find the general solution of the differential equation by using (Variation of Parameters…

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Q: ι ΣΣΣ r=0 t=0 8-1 T |= t

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Q: At a certain time of day, the angle of elevation of the sun is 44° Find the length of the Shadow (on…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (1) Prove that the product xy of two real numbers x and y is nonnegative if and only if the absolute…

A: This is the problem of counting.

Q: Solve the given initial value problem. y'' - 10y' + 25y = 0; The solution is y(t) = y(0) = -5, y'(0)…

A: We have to solve the given initial value problem.

Q: Find any case in which the number of subgroups with an order of 3 can be exactly 4 in the Abelian…

A: Let G be group of order 108=22×33. So G≅ ℤ2× ℤ2× ℤ3× ℤ3×ℤ3, orG≅ ℤ4× ℤ3× ℤ3×ℤ3 , orG≅ ℤ2× ℤ2× ℤ9×ℤ3…

Q: QUESTION ONE A) Given vectors A = 5 +70+ 34 and B = f +20 + 36 are situated at a point (r, 0, )-(2,…

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Q: By using differentiation, determine the width w that gives the maximum area A of the poster and show…

A: We have to find value of h &amp; w for maximum Area.

Q: Consider the differential equation 1 dy 7+3=2²₁ x > 0. (a) Find the general solution of the…

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Q: Consider the differential equation dy ď²y dx² +2- + 2y = 3 sin(2x), dx and the problem of finding a…

A: We know that , non - homogenous differential equation has the form ,  d2ydx2 + P(x)dydx + Q(x) y =…

Q: What are the differences between the false position method and modified secant method? Why is root…

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Q: Solve the math below: Write it by hand and upload as Image or PDF. You need to only find derivatives…

A: Given f(x)=x4-100x2-210    ……………………(1) and x0=1+8=9 Differentiating equation (1) with respect to x ,…

Q: 23. What is the line graph of path P9? A. P₁ B. Ps C. P9 D. P10

A: Sol

Q: 27. The maximum degree of any vertex in a simple graph with n vertices is A.n-1 B. n+1 C. 2n-1 D. n

A: For a Graph with  n vertices, there are only n − 1 edges for any vertex to be adjacent to.

Q: To prove 3+ 7+ 11 + ... + (4n − 1) = n(2n + 1) holds for an arbitrary n € Z+, in the inductive step,…

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Q: 1. What is the appropriate dot product technique for both Cartesian and Geometric vectors?

A: We have to solve given problems:

Q: Test the convergence and divergence of the following series, find the sum of convergent series.…

A: The given series is ∑n=0∞3n51-n. To Examine: the convergence of the series. and, If the series is…