A-Show if the series is convergent or divergent (2n)! 2n n²

Q: 4. If f(x) ≥ 0 for all x € [a, b] and a. 0 b. A b [²² f = A, which of the following is the value of…

A: We can solve the given integral.

Q: Evaluate the following integral: f²f₂f²x+yz dxdydz 24

A: Due to some technical inconvenience I cannot type this answer in Math type I am providing you the…

Q: Find the indefinite integral using the substitution x = √x√4 + x² dx + C 2 tan(0)

A: SOLUTION-

Q: The length of the curve r = sin² for the period 0 ≤0 ≤π is 6 O 2 O 8 O 4 O O None of them

A: Use derivative and length of curve formula for polar curve.

Q: The particular solution (yp) of the equation y" - 3y' + 2y = 5 e* is yp = -5xex False True O

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Q: A conical tank has height 3 m and radius 2 m at the base. Water flows in at a rate of 2 m³/min. How…

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Q: Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate…

A: Given: 8-12y+e-3xdx-4dy=0

Q: Let a = ( − 4, 4, − 3) and b = (0, 2, 1). Find the angle between the vector (in radians)

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Q: ANI (2k + 1)!

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Q: 3. Find a result by using homogenous for (x³ - 3x²y)dx- (x³ - y³)dy = 0 For Figure 1.

A: We have to find out solutions of differential equations

Q: Find the equation of the tangent plane to z = ln(2x + y) at −1,3

A: Find the equation of the tangent plane to z = ln(2x + y) at −1,3

Q: Q17 Suppose f(x) Is find f(e). Choose a) 3 b) 1/3 a Solution of your c) 1 d) answer 9 2 y'= (y+3)² x…

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Q: Find equation of langent line y=-6-2x-3x² at (1,-11)

A: To find the tangent line.

Q: The Cartesian equation equivalent of polar equation r = 4tane sece is y True False O

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Q: Solve using matrices.   5x−y−6z=2 9x+y− z=5 9x+y−5z= 7

A: Here we will solve given system of equations,

Q: Hos solv the step? ₁0.9062cos (1-√3x) d x [sin (1-√√3x) -√√3 √³x)] -0.1 -0.1 sin (1-√√3a) - sin…

A: We have to solve the step  sin(1-√3a)= -0.9556+0.9210

Q: Given d = and v= -5d +30=< find-5d +3v..

A: The calculation follows easy.

Q: Q22. determine the family of curves that is orthogonal to the family Zy²+3x²=X when z > O and yea.…

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Q: 2. Solve the following differential equations using variation of parameters: (i) y" + 4y = 4 tan 2x,…

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Q: e ra

A: topic:- application of derivatives

Q: Given the series: 1 1+ + + 9 27 does this series converge or diverge? diverges converges 00 If the…

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Q: 2. A function f:D →→ R is said to be a periodic function if there exists a positive real number p…

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Q: If f(x, y) = 3x³ + y² - 9x + 4y, then the saddle point is (1, 2) O None of them O (1,-2) O (-1,-2) O…

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Q: The marginal cost for a company to produce q items is given by MC(q)=0.004q^2−0.9q+625. The​…

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Q: X г ht хе зихн X

A: The given integral is ∫3x2+4x3+4x+1dx

Q: 1. Given f(x) = x^2 - 1/x (a) Find the domain and x-intercepts. (b) Find all asymptotes. (c)…

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Q: A river is 2 km wide and flows at 6 km/h. Anna is driving a motorboat, which has a speed of 20 km/h…

A: In this question we have to find the solution for the following statements.

Q: Use the formulas for lowering powers to rewrite the expression in terms of the first power of…

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Q: 8. Determine the radius of convergence and interval of convergence for the power series 80 n=1…

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Q: find the directional derivative of the function in the direction of the vector v

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Q: Simplify:- 16--// 5 2

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Q: A book is to contain 36 in² of printed matter per page, with margins of 1 in along the sides and 1…

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Q: If w = f(r,s,t), r = x-y, s = y - z, t = z − x then aw дw ?x + О O -1 -2 Əw дz 1 2 (

A: It is given that, w=fr,s,t, r=x-y,s=y-z,t=z-x.   The objective is to find the value of…

Q: 7 Given the geometric sequence: 35,7 3' 45 Find an explicit formula for an, where the first term is…

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Q: The alternating series En-1 (-1)" is diverge. n³ 2n³+3 True O False

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Q: Find cos(0) where is the angle between u = cos(8) 1/9 2 (3) and y () 4 v Your last answer was…

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Q: Determine the angle between the following two planes: 4x - 3y2z - 2 = 0 3x + 2y + 5z-5=0

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Q: Lim x tends to pi/4- (LHL) √(1-√sin2x)/(pi - 4x)

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Q: 4 6. √√√√x³ = x²(3x² – 2x) dx -

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Q: A) estimate the area of the graph of f(x) = 25 - x² From x=0 to x=5 using approximating rectangles…

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Q: The length of the curve r = sin² for the period 0 ≤ 0 ≤ π is 8 O 6 None of them O 2 O 4 O

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Q: Find the general solution of the differential equation 49y" + 112y + 64y = 0. NOTE: Use C₁, C₂ for…

A: We have to find general solution of given DE.

Q: A company selling baseball gloves has fixed costs of ​$1300​, and it costs an additional ​$22.71 to…

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Q: Use implicit differentiation to find the slope of the tangent line to the curve 9xy³ + Sxy=14 at…

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Q: Test the series below for convergence using the Ratio Test. n+ 3 3n+3 The limit of the ratio test…

A: you have entered value of an instead of f(n) .

Q: Solve the given differential equation by separation of variables. e-y + e-5x - y exy dy dx

A: To find the solution of D.E.

Q: = Find the volume of the parallelepiped determined by the vectors a c = (2, 3, 1). Volume =…

A: The volume is given by scalar triple product of vectors.

Q: find the general solution (x + yex) dx-xexdy=0

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Q: Evaluate [cos² ydy a. 1/2y + 1/4sin2y + c c. 1/2y + 1/2sin2y + c b. 1/4y + 1/2sin2y + c d. 1/9y +…

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Q: By using a cosine function find a formula representation of the graph in the given figure. Use ()…

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