Suppose that (0) is a null sequence with only nonzero terms. Calculate lim 818 0 Submit Question sin (50) On

Q: Let A= ( -2, 5) , B = ( 3, -4 ) be vectors in R2.  a) Find the cosine of the angle between A and B,…

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Q: 2. (VP-3) Use variation of parameters to find the general solution to the following equation: y" + y…

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Q: Express x8 - x as a product of irreducibles over Z2.

A: Given polynomial is fx=x8-x. To Express: The given polynomial fx=x8-x as a product of irreducible…

Q: Prove that √2 is not an element of Q(π ).

A: The given expression is 2. The objective is to prove that 2 is not an element of Q(π ). We know…

Q: 1. Let A be an n x n matrix and x is a scaler. Show that det(x A)=x" det(A).

A: Solution:-          It is given that , A is any n×nmatrix and α is a scaler .…

Q: The initial mass of a certain species of fish is 2 million tons. The mass of fish, if left alone,…

A: Solution: Let the mass of fish at time t be represented by m(t) million tonnes per year. We are…

Q: 16. Find the solution to each of these recurrence relations with the given initial conditions. Use…

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Q: Compute the summation. 3 Σ (4k2 + 3) k = 1 ||

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Q: Find the remainder when 111196 is divided by 13.

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Q: Problem 3. Let F and G be two functions defined as { and F(x)= sin - 0, " x G(z) = { ₁,² if x # 0,…

A: It is given that, F and G be the two functions defined as ;              F(x) = sin1x,x≠00,x=0 And,…

Q: Find all analytic functions f = u + iv with u(x, y) = x² - y². Simplify the expression f(2) as much…

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Q: 2. Solve the IVP u"(t) = cos² (t), u(0) = 0 = u'(0).

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Q: Use the given information to graph the unknown polynomial 1.) Given: Y-intercept at (0,3)…

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Q: Find the general solution to the following problems a) x²y" - xy' + y = x² + 1.

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

Q: A triangular field has sides of lengths 30, 51, 65 ft. Enter your answer as a number; answer should…

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Q: 2. Below is the graph of f(x) = 2√x. Use the function and graph to answer the following questions.…

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Q: 1. If A = 3i+j - 2k, B= 2i + 4j+3k, and C= i-2j+ k, then find a. the scalar triple product A. (B x…

A: To find the scalar and vector triple product

Q: Find the mass and the x-coordinate of the center of mass of the lamina occupying t region R, where R…

A: Given: The mass density of the lamina is ρx,y=4y and the region R is bounded by y=sin3x, y=0, x=0,…

Q: 4y³ (x² + 4) dy + 4xy¹ = (x² +4)² dx

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Q: Solve the following problems using the formula (r + n - 1r) = - (r+n-1)!/ r!(n-1)!  A bin of golf…

A: We solve using the binomial coefficient. The detailed answer typeset in LaTEX is given in step 2.

Q: Use the summation notation to rewrite the following expression. 6 (1³ − 6) - (2³ − 6) + (3³− 6) –…

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Q: -. If X is a random variable such that E[X] = µ and P(X ≤ 0) = 0, show that 2 P(X> 21/(H) = 3²/34 3…

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Q: MY NOTES ASK YOUR TEACHER 1x = A lamina with constant density p(x, y) = 6p occupies the given…

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Q: (a) Construct a 3 by 3 system that needs two row exchanges to reach a triangular form and a…

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

Q: Problem 2. Cordylia is a being who exists within six spacial dimensions as opposed to the mere three…

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Q: 3M „S •P

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Q: Last week, a customer paid $65.60 for 4 pounds of cat food. This week, she has a coupon for $2:50…

A: Last week, 4 pounds of cat food costed $65.60. So, cost of cat food per pound was         $65.60/4 =…

Q: equation of the the point (5-5/3) which plane 4y - 1+² 32 = 1 8+ X Find the The an

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Q: Find the minimal polynomial for 3√ 2 + 3√ 4 over Q.

A: Let x=23+43. To Find: Minimal polynomial for 23+43 over Q.

Q: Solve (x − 3y + 3) dx + (3x+y+9) dy=0 A B C D 3 tan -1 cx²e cy²e cy²e cy²e 3 tan -1 3 tan 3 tan x +…

A: We have given a differential equation, x-3y+3dx+3x+y+9dy=0 This is homogenous differential equation.…

Q: nd the equati point (-5, hogonal to 5+-ну e

A: Equation of a plane passing through (x1, y1, z1) and orthogonal to a line whose direction ratio is…

Q: Problems 7-12 refer to the Venn diagram below for events A and B in an equally likely sample space…

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Q: How are the products 0.3 x 0.5 and 3 x 5 similar? How are they different? Use place value to make…

A: On solving this we will get

Q: Determine the values of a for which the system has no solutions, exactly one solution, or infinitely…

A: We have to determine the value of a for which the solution of the system of linear equations is…

Q: Consider the integral -10 ln(x) x² S If the integral is divergent, type an upper-case "D".…

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Q: There are 130 students in the ski club. 50 of the students are boys. In simplest form, write the…

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Q: Q/Solve the differential equation by exact 1) (t²-x)dt - t dx = 0 2) 3) (t² + x²)dt + (2tx - x) dx =…

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Q: Statement: No integer is both even and odd.

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Q: Given is the graph for the second derivative of some function f(x) which has the domain of (-∞, ∞)…

A: "Since you have posted a question with multiple subparts, we will solve the first three subparts for…

Q: The subspaces of R3 are planes, lines, R3 itself, or Z containing only (0, 0, 0).(a) Describe the…

A: We know that ℝ3 is a vector space having elements of the form x, y, z, where x, y and z are the real…

Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral.…

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Q: Use the graph of the function to find its domain and range. Write the domain and range in interval…

A: For a function: y=f(x), the set of real values of x for which f(x) is defined is called the domain…

Q: sider the following series. (Enter your answers using interval notation.) Σ 7-1) n A-1 (a) For what…

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Q: If the system is inconsisitent, type "NA" in the solution box. a b C = = = -2b + 6c = 10 4a + 12b -…

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Q: If we want to use gradient descent approach to estimate the minimum of f (x) = x², and ï₁ = -2 while…

A: This is a problem of function of several variables.

Q: Let p be a prime. Find the least residue mod p of 1^p + 2^p + ... + (p-1)^p

A: The given problem is to find the least residue mod p of 1p+2p+....+(p-1)p.

Q: If 24 kids ordered 9 pizzas, how would you cut the pizzas so each kid had a piece?

A: The details are given in step 2 nicely typeset in latex.

Q: Compute the following. 4! 6! ]*

A: Answer - First we need to understand what is factorial before solving this question  n!…

Q: Suppose that the sequence x0, x1, x2... is defined by xo=4, x₁ = 6, and xk+2 = 4xk for k20. Find a…

A: Given Data: Let us consider the given data, xk+2 =4xk which can be written as, xk+2 -4xk=0with x0=4…

Q: Define the vector space analog of group homomorphism and ringhomomorphism. Such a mapping is called…

A: Suppose, V and W are two vector spaces over field F.