Find the interval of convergence of the series. Sn=00 (z-8)" n=1 n+8 O -1 < x < 1 O -

Q: Find the local max and local min and saddle points of F(x,y)= 2x^2+y^4-4xy

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Q: 1-Determine the order of each matrix. 2 -3) b-() c-(105 311) а — 4.1 4 2-Determine the value of each…

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Q: II. Determine if Vx2 – 3x – 4, if x 1. is continuous or not at x = -1 and at x = 1. In the case of…

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Q: For the function shown bellow; Find the second order derivatives : af/ay (a^2 f)/(ay^2) f (x, y) =…

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

Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

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Q: Vx2 – 2x – 3x 4. lim 4х + 5 I -00

A: Answer Number (4):  To evaluate the given limit without using L'Hospital's rule.limx→-∞x2-2x-3x4x+5

Q: (b) / (4 – t)Vt dt

A: Given integral is definite integral, because here limits are given. In this integral upper limit is…

Q: Suppose that a function f(x) satisfies the following properties, together with the table of signs…

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Q: 11

A: As per policy only first question is answered. Please refer to the image below

Q: 4. -1 y%3D 3x-9

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Q: Find the general form of f if f'(x) = - 5f(x). f(x) =

A: Given that,      f'x=-5fx

Q: a ER メ 2 12

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Q: Find the vertical asymptote(s) of the graph of the function. -2 3. (0) -+3)

A: Find vertical asymptotes

Q: Solve a3 -4x2 +4x 3x4 –12x3 +12x2 limp→2'

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Q: Part (2) Double Integration in Polar coordinates: 1) Find the area of the region cut from the first…

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Q: Find the area under the graph of the function over the interval given. 13) y =ex; [-9,4] A) e 13 B)…

A: We can find the area as below.

Q: Find * L(e2t t2)

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Q: Find the area under the graph of the function over the interval given. 32) y =x2 +1; [0, 1] A) D)를…

A: Given :y=x2+1   0,1

Q: dy 2- Inx- y 3- xe* dy +: x2+1 dx = 0 y %3D

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Q: 3 6. Work Problem 3 (e ): v1 = 0 |, U2 = 02 vectors from %3D 1 a) [' Determine if the vectors {v1,…

A: Vector

Q: The series 32n-54-1-2n is n=1 Select one: а. is a divergent geometric serie O D. is convergent but…

A: Topic:- sequence and series

Q: y"' + 4y" + 9y' + 10y = when x = y = 0, y' = -4, y" = 10

A: To find the general solution of the given differential equation.y'''+4y''+9y'+10y=-24e-x, when…

Q: First question: Find the inverse and determinate of the matrix A = [??H] -1-3 1 3 60 1 0 1 ||

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Q: 12. S cosh(5x – 7) dx

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

Q: 1. Find the determinant of the given matrix. 1 0 4 -6 2 5 3 -1 2 3 2 1 -2 31 det A

A: Given :A=104-62503-123521-23

Q: Evaluate the following: 1. f (5a - 82 + 6z² - 4x + 7) da

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Q: dy Do not simplify your answers. dx IV. Find Vsec-1r sin æ 1. y = (use logarithmic differentiation)…

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Q: Se" cos 2t dt ,7L

A: integration.

Q: Make a sketch of the following vector field. F= (5e%,0) Choose the correct vector field below. O A.…

A: We need to draw vector field.

Q: Find the area of the triangle whose vertices are given below. A(- 3,5) B(3, - 2) C(10, – 2) The area…

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Q: inal the @ e w and cone an ave cof the Cuarve?

A: here i am providing my hand written solution

Q: J(x+h)-f (x) h 4x+9x+5 Problem #1: Using lim, Find the slope of the tangent line y = 3x-8 at x = -1.

A: Given: y=4x3+9x+53x−8 Let f(x) =y=4x3+9x+53x−8 We know that f'x=limh→0 f(x+h)−f(x)h Now slope of the…

Q: S (3x – 2)° dx

A: To FInd : ∫3x-22dx

Q: Q2: Find a root of x – 0.5 – 2-2x = 0 by using Newton-Raphson method correct to 4 decimals so that…

A: We have to find the root of given function by Newton Raphson method.

Q: A spherical balloon is being filled with air at the constant rate 2 cm^3/sec. How fast is the radius…

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Q: 0 cos n0 do

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Q: SOLVE THE FOLLOWING HOMOGENOUS LINEAR DIFFERENTIAL EQUATION. SHOW DETAILED AND COMPLETE SOLUTION.…

A: The given differential equation is: D3-7D+6y=0 So, the auxiliary equation is: m3-7m+6=0

Q: Sider tne two 00 6n (a) 2 5n + 39 n=1 00 (b) 2 n2 In n n=1 Which of the following statements is true…

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Q: Find the following for the vectors u= 10i – 8j + V5k and v= - 10i + 8j- /5k. a. v•u, lv], and Ju| b.…

A: This is a problem related to vector's dot product. Based on the general formula and concept we will…

Q: Use the Euler, improved Eule and Runge-ku 6. methods to solve the following ODES: ソ=(1+ ) りく) = e

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Q: 2- Suppose that vector v has initial point (-4,5) and terminal point (-1,12). a- Find the component…

A: a)A position vector v→ is defined as a line extending from the initial point (x1,y1) to the final…

Q: How many ways are there to distribute r+s identical balls among five different children such that…

A: We need to find ways to distribute balls as asked.

Q: 2. cos(ry?) = cot(3") + 3e"

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Q: Question 3 - a) ji following series : Determine whether the (-1)"4"-1 32n+1n n=1 is convergent or…

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Q: 2 and v2 = 3 be Work Problem 2 : Let vj = two vectors in R?. (a) i Determine whether v = belongs to…

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Q: following functions fo - VE+3 and glo) = Find the formula for eXx) and simplify your answer. Then…

A: For f(x)=x+3 and g(x)=x+42, Our Aim is to find the formula forg∘fx and domain for g∘fx.

Q: From the textbook: Let f be the function in the graph below. (1) Going from left to right, this…

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Q: 1. Obtain the general solution unless otherwise instructed · (D5 + Dª – 7D³ – 11D² – 8D – 12)y = 0 -…

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Q: Evaluate the summation 7-i. 22 25 18

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Q: Problem #5: In the equation f (x) = e* In(5x) – e* + log find f '(3).

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