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Q: Let f be an nth degree polynomial of the form f(x) = x + an (a) Findf)(x) (b) Find 1(x) for k>n…

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Q: Calculate the derivative of the function. 8 (x² + x + 1)² h(x) =

A: Differentiate the given function using power rule and chain rule of differentiation.

Q: J Eliminate the arbitrary constant x² (3b-x) = (x+b)y² Give final answer in general form.

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

Q: Find y as a function of a if y(0) = 28, y(0) = 21, y'(0) = 28. y(x) = y" — 12y" + 32y = 42eª,

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Q: The graph of the total profit P(x) (in dollars) from the sale of x cordless electric screwdrivers is…

A: A) Brief verbal description of the graph of maximum profit function y=P'(x):

Q: Prove: Prove: If a b and ba, then a = b or a If a does not divide bc, then a does not divide b. b.

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Q: 1. ( and A = (a) (b) s) Consider the system of differential equations x' = Ax with the coefficient…

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Q: Classify the following sequences: r-5,5,r+5,.......... a. b. p, p²-1, p²-2p+ *******

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Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin…

A: Answer :-

Q: Find lul, lvl, 12ul, u = −3i + 4j, |u| = 1 |vl = |2u| = HỈN = |u + v = |uv| = |u| - |v| = v, lu +…

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Q: Sc C Calculate the slopes of the tire with the the response to the mass of the tire mass m = 2πr…

A: Given: Length density of the circular ring, C=x,y,z∈ℝ3|x2+y2=R2,z=0; is λ=m2πR, where m is the mass…

Q: Find the partial derivatives 5xex² + y2 2 W = Əw Әх Əw ду = = 5x26 +12 2 е+2 5xye+2+1,2 Əw aw Әх ду…

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Q: Consider the function g(x, y) given by g(x, y) = x² - 2xy + y² restricted to the region where :{ (a)…

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Q: Question 6 (a) (b) Show that the vector field F(x, y, z) = 2xzet² + y² + 2yzet²+y²j+e+²+y² k is a…

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Q: [15] (3) GIVEN: The space curve I parameterized by: c(t) = (e'sint, e' cost, e'), te[0, In 2] FIND:…

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Q: (b) i) Find the centroid of the plane region defined by the polar coordinate a ≤0 ≤ α (0 < a ≤ π).…

A: Given: Let consider the polar coordinate inequalities 0≤r≤a,-α≤θ≤α and 0&lt;α&lt;π. i) The centroid…

Q: Let X be a set and let TCF(X) = {UCX|X\ U is finite or is all of X}. n (a) Let n € N and let {U₁,…,…

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Q: 2) Consider the following geometry called T: Undefined Terms: point, line, incidence Axioms: I)…

A: note : Since you have posted question with multiple sub parts, we will provide the solution only to…

Q: For all z € C, let P(z) = ao+a₁2+...+anz" be a polynomial, where a, &C for all j= 0,..., n. Suppose…

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Q: Find the gradient of f(x, y, z) = e³x+6y+6z grad f = + + T.6 T k

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Q: Suppose water is leaking from a tank through a drcular hole of area A, at its bottom. When water…

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Q: How many ways can six of the letters of the word ALGORITHM be selected and written in a row if the…

A: Given: Word: "ALGORITHM"To find: The number of ways to select and arrange six letters from the word…

Q: Find a general solution to the differential equation. 3 y''(0) + 16y(0) = 4 sec 40 The general…

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Q: what will be the answer that is inserted in the blank of the pervious qustion

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Q: If H is a Hilbert space and SCH, show that S = S. When S is the same as S? Justify.

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Q: A square matrix is called a permutation matrix if it contains the entry 1 exactly once in each row…

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Q: Using Gauss Seidel Method, Solve for the Roots of the Linear system below. Assume initial values: x₁…

A: Gauss-Seidel Method: The Gauss-Seidel method is an iteration method which is used to solve a system…

Q: calculate the compound amount and compound interest (in $) for the investment. (Round your answers…

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Q: Calculate the double integral. 11x = {(x, y) 1 0 ≤ x ≤ 8,0 ≤ y ≤ 2} x sec²(y) dA, R =

A: Double integral value

Q: 5. Find a recurrence relation satisfied by the sequence: a = n²+ n such that n a) the recurrence…

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Q: Let x1(t) = sin(4ät) and x2(t) = 3t. Is x1(t) + x2(t) periodic?

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Q: If then A-1 - # 用 A = 1 5 -4 -9 0 0 1 4 -2 0 0 1 0 3 1 , 田

A: By Gauss-Jordan elimination: Let A=IA…

Q: For two polynomials p and q in P₂ let (p(q) = ₁² p (Note: the limits are unusual). Let U = Spann{P₁,…

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Q: Consider the parametric curve a = - a Cartesian equation of the curve. Equation: (sin(t)) and y=-…

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Q: Q3 Not submitted Section 4.1 # 14 Show that if a, b, and e are integers with e > 0 such that a = b…

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Q: Use the limit comparison test to determine whether Σ an = n=11 n=11 lim a. Choose a seriesbn, with…

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Q: An incidence geometry with no parallel lines is called a projective geometry

A: Concept: Projective geometry: The branch of geometry dealing with the properties and invariants of…

Q: Find the values of x for which the series convergest Yoo 2nxn Σ n!

A: Since given series is                            ∑anxn≡∑2nn!xn

Q: Given that = 4 and = 5 and the angle between u and is 120°, determine the unit vector in the same…

A: Given that  u→ = 4  and  v→ = 5  . The angle between  u→ and  v→ is  120o          Now     u→+v→2…

Q: Solve the congruence 863x ≡ 880 (mod 2151).

A: we can observe that  863 and 2151 are co primes ,  that means  863 , 2151  = 1 and  1 / ( - 880 )…

Q: compute the amount of compound interest (in $) earned in 1 year and the annual percentage yield…

A: To Find compounded interest earned in 1 year by below formula     A = [p(1+r/n)nt] - p  And  APY =…

Q: Evaluate the integral. x/6 2 S [(5+2 c [(5+2 cos t)i + (sin t)j + (sec² t) k] dt = -x/6

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Q: Calculate the derivative of the function. g(x) = (2x² + x + 6)-³ g'(x)=

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Q: The following series satisfies the hypotheses of the alternating series test. 1 1 1 1 + 1.8 2.82 +…

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Q: 4. Using the Simplex Method, solve: Maximize 5x1+x2 3x12x2 ≤ 6 subject to -401 + 2x2 ≤4 x1, x2 ≥ 0…

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Q: 1. Give a an explicit and recursive rule for each sequence below where n ≥ 1. a) -26, -19, -12,...…

A: Sol:- a) To find the explicit rule for this sequence, we need to look at the pattern of the…

Q: Suppose you are to seat three people (Anna, Beth and Charlie) in a row. In how many ways, can they…

A: For three people (Anna, Beth and Charlie) We have to check seating arrangement so that Anna is…

Q: Maximum and Miniffum POINTS maximum minimum (x, y) (x, y) Sketch the graph of the function. (Include…

A: The given function is: y=-2sin6x+π. Compare with: y=AsinBx+C+D. So, the values are:…

Q: (a) Find the tangent line approximation to cos x at x = 1 4 NOTE: Enter exact values, or round each…

A: The tangent line approximation to the given function f(x)= cos x at any point x=a is given by L(x)=…

Q: 1) Consider the following geometry called S: Undefined Terms: point, line, incidence Axioms: I) Each…

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