Find the radius of convergence for: 3 (n!) ³ (3n)! n=1 xn

Q: The Eigen values of the matrix A = = 1 1 li 1 0 1 1 0 0 1 0,1,2 O 0,0,1 O 0,2,-1 O 0,-1,2 O 0,2,2 O

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Q: Given the points A(7, -2, -9 ) and B( 7, −2, 2 ). Question 3 a) [:] Write parametric and symmetric…

A: We have to find the equation of line and intersection of line and plane.

Q: Question 10 Evaluate the following expressions. sin (tan-¹(√3)) cos (tan-¹(1))

A: By triangle property

Q: The graph of y = f(x) is shown. Use the graph to answer the question. 2 1 f(x) 1 -1 -2 2 lim Find…

A: Given graph of function y = f(x)

Q: 4. 4 1 SSx 20 x²ydxdy

A: Topic = Integration

Q: The definite integral is equal to Select one: lò xác thỉ xác Of xdx + ² xdx Of xdx + xdx Of xdx -f²…

A: We have to find correct option of given integration by dividing limits.

Q: The radius r of a circle is increasing at a rate of 5 centimeters per minute. Find the rate of…

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Q: Q4: Show if the series is convergent or divergent cos(n) n√n n=1

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Q: 2 ƒ 6x dx

A: Here we have to integrate the given problem

Q: Find all solutions of the equation in the interval [0, 2π). 2sinxcos2x+2cosxsin2x=-1 Write all…

A: We have a given equation is  2sinx cos2x + 2cosx sin2x=-1

Q: Choose the angle (in radian) between the following two vectors u = and U = O 2.059 00 O None of…

A: We know that angle between two vectors a and b cos(θ)=a.b|a||b|

Q: Find dr/dtheta for theta^(-7/9) + r^(-7/9) = -5

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Q: S In (x) √xln(x)-x dx

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Q: Evaluate the limit using L'Hospital's rule 1 lim 6xe - 6x x →

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Q: dx dt Please give an exact answer. dy = 2, dt If z³ = x² + y²₁ Provide your answer below: = 1, and…

A: Given problem:-

Q: Use the graph to determine whether each statement is tru lim f(x) exists. x → -3 -5 -4 -3 -2 -1 -1…

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Q: 1 The linear approximation of tan-6° is? approximation of 3√9 is? 2 The linear

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Q: The line L with symmetric equations point P(3,-3, -2). Select one: True False E || || ~ passes…

A: solution is given below

Q: : Evaluate the integral: √2 3y 8-x²-y² 1. JIJ 00x²+3y² dzdxdy

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Q: If the vectors a and b are such that a = kb where k is a positive scalar, then the vectors a and b…

A: Given a and b are vectors Such that a=kb and k is positive

Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

A: Given

Q: ·S In (x) vxln(x)-x X dx

A: We know that integration power rule is - Integration of xn is xn+1/n+1 + C . Here C is integration…

Q: \(\) The vectors u= and V = are not orthogonal if and only if x=-136

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Q: Verify that y = c₁ex + c₂e4x is a solution to the DE: y" - 5y + 4y = 0.

A: We are authorized to answer one question at a time, so we are answering the first one, please repost…

Q: Evaluate the definite integral. 2 cot-¹(x) 1+x² 1 - 1 -dx

A: To evaluate the integral.

Q: A manufacturer estimates that the cost of production of x units of a certain item is…

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Q: Set up, but do not evaluate, an integral for the area of the surface obtained by rotating the curve…

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Q: dx -10 x

A: We can solve the integration as below.

Q: Find and for the functions: of Əx af ду bren 2. f(x, y) = x² − xy + y² X (x² + ² noitonut sil 4.…

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Q: Given f(x)=x/(x^2+4) find f''(x). Please do on paper.

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Q: Barbara knows that she will need to buy a new car in 3 years. The car will cost $15,000 by then. How…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 17. A cone was formed by rolling a thin sheet of metal in the form of a sector of a circle 72 cm in…

A: Firstly calculate length of the sector then height of the cone

Q: Determine whether the integral is convergent or divergent. LA* +4 convergent O divergent dz

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Q: Use the matrices below to perform matrix multiplication. If the operation is undefined, enter NA. B…

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Q: Given the points A(-8, 2, 3) and B(-8, 2,-4). a). Write parametric and symmetric equations of the…

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Q: -1-y 3) Evaluate the integral dxdzdy?

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Q: Choose the angle (in radian) between the following two vectors u = and U = - O 2.059 00 O None of…

A: We know that the angle between two vectors u and v is θ = cos-1 u·vuv

Q: 8. 2dx 3 3x

A: Given

Q: H.W: Solve the differential equations: dy 1. +2y=ex dx dy 2.2-y=ex/2 dx

A: To solve the differential equation:

Q: y = 2 16-2

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Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

A: Let's find area between given cardioid and circle.

Q: 2. find the derivative of the function g(x, y, z) = 3e* cos yz ,at the point P. (0,0,0) in the…

A: We have a given function g=3e^x cos(yz)

Q: A) Find the value(s) of m so that the function y = ex is a solution of y" - 7y' +12y = 0. B) Find…

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Q: By the condition of a will, the sum of P 1.500 is left to a boy to be held in trust by her guardian…

A: Follow the procedure given below.

Q: 3. Solve below definite integrals (a) [²3test d (b) ["* dt, 3tedt, ["¹ (c) In(x) -d.x,

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Q: 25 5.²5 4 Incx √x dx

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Q: The graph of y = f(x) is shown. Use the graph to answer the question. [3, for x = 1, for x * 1 f(x):…

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Q: Find the vector, not with determinants, but by using properties of cross products. (j - k) x (k - i)

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Q: Q5: Find the area shared by the cardioid r = 1 + cose and the circle r = 3 cos 0. Graph the two…

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Q: \(\) The geometric representation of the equation -4x² - 4y² = -12 is not a cylinder in R². Select…

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