Write a recursive formula for the arithmetic sequence an given below. an= and a1= 10,19,28,37,46,…

Q: However, the answer is (1/2, 0).

A: Given curves:- y=x+2 , y=x2 -4  find center of mass

Q: List the first five terms of the sequence. an = (-1)^-1 3n a₁ = 1/3 1 32= -1/6 33=1/9 аз 34 = 45 ||…

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Q: Use differentials to approximate the value of the expression. Compare your answer with that of a…

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Q: Let R be the region bounded by y=x, x= 1, and y = 0. Use the shell method to find the volume of the…

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Q: Find dy/dx, given that xy^3 -3y^2 +xy=1-3x

A: We have given a function y in term of x, and finding the derivative of that

Q: Convert the rectangular coordinates to polar form (√8,√8) (4,57) (√2,73) Option 4 O Option 1 (2,3)…

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Q: The four figures below are graphs of the vector-valued function r(t) = 8 cos ti + 8 sin tj + (t/8)k.…

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Q: The Eigen value of matrix p is (solve) ГО 0 Lo 1 0 0 1 -3 -4] (0,-1,-3) O (0,2,3) O (0,1,3) O…

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Q: Solve the equation. dx 2x1² dt **** An implicit solution in the form F(t, x) = C is =C, where C is…

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Q: 20. The graph of the first derivative f' of a function f is continuous on (-∞, ∞). -1 f (x) 2 3 (a)…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: Convert the rectangular coordinates to polar form (√8,√8) (solve) (4,5) (4,5) Option 3 O (√2,75)…

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Q: Calculate the derivative of y with respect to x. Express derivative in terms of sin (y³) (Express…

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Q: (a) Find a vector equation and parametric equations for the line that passes through the point A(5,…

A: We have to find solution for given questions.

Q: The general solution of the DE+4-5y=0 y= Ae* + Be5x Option 2 O y = Ae* + Be-5x y= Ae* + Be-5x Option…

A: We have to find the general solution.

Q: The derivative of a^u with respect to x is a ln a du/dx (a^u) * du/dx ln a * du/dx (a^u) * ln a *…

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Q: Convert the rectangular equation to polar form x² + y² = 9 (solve) rsino = 9 r=4.5 Option 4 O Option…

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Q: Find all solutions of the equation in the interval [0, 2π]. 2sinxcos3x+2cosxsin3x = -√3 Write the…

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Q: S₂ (1-t) ² dt 2

A: Solution

Q: Consider the following infinite series. Complete parts (a) through (c). Σ 310.1) k=1 a. Find the…

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Q: A 2x-In Ixl+C B 2x4 In Ixl+C 5*²=4 dx x D HIN x² - In Ixl+C x² - 4 In 1x1+C

A: topic- indefinite integral ∫xndx=xn+1n+1+C∫1xdx=lnx+C

Q: Exercise (c) Find the inflection point. Find the interval on which f is concave up. Find the…

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Q: 4 Determine -2 u tv and Give a is i and v и So Keat orthogonal to ²-5²³ lutô| = |a²|+12²1…

A: Given the vectors u+v and u-v are orthogonal and  u+v=u+v To find u and v .

Q: •. Sketch the graph of a continous function & f(2)=1 f'(2)=0, the point (2,1) is 1 1 1 1 2 I is…

A: We have to sketch the graph for given question.

Q: Problem3 Find a curve in the xy-plane passing through the point (1, 2) and for which the normal line…

A: Here we have to find the equation of curve.

Q: x4 dx X³- 2x²-7X-4

A: The given integral is: I=∫x4x3-2x2-7x-4dx   As we know the common integral.…

Q: Find the function F that satisfies the following differential equation and initial conditions. F'(x)…

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Q: If v=3i+2j+ k,w=3i+ 4k and the angle between v and w is 90, find v.w (solve)

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Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable.   lim x→∞…

A: The given limit,      limx→∞1+axx, for some constant 'a'

Q: 10. After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

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Q: Convert the rectangular equation to polar form x² + y² = 9 (solve) rsino = 9 r=4.5 Option 4 O r=3 r²…

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Q: If 4x² - y² = 64, show that ds² = 1/2 (15x² (5x² - 16) dx².

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Q: For any two nonparallel vectors a and b, it holds that Select one: O O O 3a + b 3a + b 3|a| + |b|…

A: For any two nonparallel vectors a and b , it holds that

Q: Calculate the tripe integrals SSS xyz dxdydz where B é the block 0≤x≤2; 0 ≤ y ≤ 1; 1≤z≤2

A: We have given in question, triple integration of xyz with respect to x, y, z

Q: Evaluate 2 6 (x + 2)√√/x-2dx

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: Question 2 Consider the point P(-2, 1, 4) and the vectors a = and b=. (a) Find the unit vector u…

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Q: • f'(x) = x − 2x 2 x¹2x² + 1; ƒ(1) = 5

A: We have given f'(x) and we have to find function f(x)

Q: Find the curl of the vector field F curl F = (2y cos(x), 5x sin(y))

A: F = (2ycosx , 5xsiny) find curl F =?   curl F  = dF2/dx - dF1/dy here  F1 = 2ycosx  F2 = 5xsiny now…

Q: find y' at y = f(x) уч x 2 x ² y - =1

A: Given function is :-x2y-y2x=1To differentiate it, use :-ddxu(x)v(x)=u(x)ddxv(x)+v(x)ddxu(x).and…

Q: (a)l. - Find a vector equation and parametric equations for the line that passes through the point…

A: According to bartleby guidelines for multiple question I can answer only one question.Thankyou

Q: Put the following program in standard matrix form: Z = X₁ + X₂ X1+ 5x2 <5 2x₁ + x₂ ≤ 4 maximize:…

A: see below the answer and the explanation

Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few…

A: Topic = Series

Q: Consider the following graph on the interval - 165° < x < 270°: 5 4 3 2 D 1 150-120 90 -60 -30 -1 -2…

A: We have given a graph of function and finding amplitude,period and function

Q: Set up integrals To find the area of the regions between the curve of y=4 cos x and the x axis for 0…

A: The Solution is given below

Q: a) Evaluate [₁(x-3) (x-3)√√x+3dx

A: I have stated the used formula in the solution

Q: 1 a. Determine whether the Mean Value Theorem applies to the function f(x) = x + on the interval…

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Q: Find the radius of convergence and the interval of convergence. xk k(k + 5) Radius of convergence:…

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Q: 9. Following shows the graph of function g(x). The arrow means the function will leads to infinity…

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Q: E Surface integral is used to find Density Area Surface Volume

A: Surface integral is used to find

Q: Determine whether the series is convergent or divergent by expressing s as a telescoping sum. If it…

A: answer is in next step.

Q: Can you solve this? 10x8 5x4 A) 2x² B) 2x¹2 = ? C) 2x4 D) 2x32

A: Solve the given