4n Determine whether Σ: 5n+1 is convergent or divergent.

Q: Find the divergence at (15, 0, 0) for the vector field F(x, y, z)= e*sinyi-e cosyj+z²k O 16 O 451 30…

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Q: (x) = (x^2)−16 / (x^2)+2x−8 . Find any holes(which are points) and V.A.

A: We have to find out hole

Q: Q1) A-Write an equations for the normal lines on the circle tangent at (x= 1) with (r=√10),c(0,0).…

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Q: 3

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Q: fr. sin ax cos 3x dx

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Q: Evaluate the following integral using integration by parts. x¹ ln x dx

A: This question is based on integration by parts.

Q: |2x+4| lim x->-2+ √x+2

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Q: f(x) = 3x^3 + 9x^2 + x + 3 Find all possible zeros

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Q: 13 If sec (0) = 3,0 ≤ 0 ≤, then 5 sin(0) equals cos(0) equals tan(0) equals

A: This is a basic trigonometric ratios problem

Q: For each of the following differential equations, write the particular solution proposed according…

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Q: Graph the curve. O r = 6 + sin(40) -6 -4 -4 y 2 2 4 4 X BB÷ 2 4 -6 -4 -2 -4 -2 2 -6 2 4 6 X

A: The given function is r=6+sin4θ To find: We have to find the graph of the given function. We have…

Q: Find the area between the curve of y = x + 2 and the x-axis on the inter 4 ਆਗੂਆਂ 2 4 -2- O O O 27 4…

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Q: Which of the following formulas would be used to calculate the trapezoid approximation of 0.2 3 0 T₁…

A: Here we using trapezoidal rule.

Q: 40 9 If the pointP (4) is the terminal point of t on the unit circle, fin 41 41 value of tant and…

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Q: 19. I. lim g(x) = 5. z-6 II. g(6) = 5. 20. I. g is continuous at x = 6. II. g has a removable…

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Q: Find the total change of f(x) between x = 1 and x = 4, when 1.25 0.75 0.25 -0.75 df 1 dx x2 =

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Q: A region bounded by f(y) = y, y = 8, and x = 1 is shown below. Find the volume of the solid formed…

A: Given, f(y)=y3, y=8, x=1

Q: Σ n=1 5n Vn3 +1

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Q: The bird flu is considered dangerous when the number of people getting sick is growing at a rate…

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Q: For what values of h are the vectors -7 3 and 2 OA. The vectors are linearly dependent for all h.…

A: The given vectors are -732 and -146h

Q: 21

A: Please see the below picture for detailed solution.

Q: 1. (1-x) = y². ANS. y ln c(1

A: Given.

Q: Consider the following. (The graph is called a serpentine.) (-4,-16) Find the derivative of the…

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Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

A: Let the point be A(4,-8,9). To find the distance between A and x=2t+0, y=t-3, z=2t+2. The direction…

Q: In a typical diabetic, the level of insulin might be given by the following function: if 0≤ t ≤4 if…

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Q: Find the general solution of the following differential equation. (y+2)dx + (x-2)dy = 0 Send…

A: I am attaching image so that you understand each and every step.

Q: A town's raccoon population is growing exponentially. The expected population can be estimated using…

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Q: 4

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Q: Use the following information to answer the next question Two functions are shown. y = f(z) is the…

A: We have to find the values of b, c, d.

Q: gle. Round to the nearest tenth when necessary or to the neares minute as appropriate. مت A 22m 26°…

A: The triangle has the measures A=26°, B=51° and AB=22m

Q: Use implicit differentiation in finding y'. 1. x²³² +y³ =18xy

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Q: Find the derivative of the transcendental function. f(t) = sin(t) f'(t) =

A: The given function ft=t4 sint we have to find the derivative of the function

Q: C. Solve the given differential equation by undetermined coefficients. 1. y" + 6y +9y=-xe4 2. y(4)…

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Q: A population of 440 bacteria is introduced into a culture and grows in number according to the…

A: We can solve the given problem by using the derivative rules.

Q: Use l' Hospital's Rule to find the limit. Also, show why we can use this rule. Do not round.…

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Q: Use a sum or difference identity to find the exact sin 15° O = √6-1/2 4 o √6+√√2 4 √6-√√2 4 O √6+√√2…

A: We have to find the angle

Q: ƒ f(x) = 25, find f'(-3).

A: Topic:- derivatives

Q: M                   dy/dx - y = e^x y^2

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Q: The world's population in 1980 was about 4.5 billion. Suppose the population increased at a rate of…

A: As per our guidelines we are allowed to solve only first 3 sub-parts. kindly repost others. Thank…

Q: 20

A: I have stated the used formulas in the solution

Q: 2)  Solve the differential equation by using integrating factors. (x + 3)y' = 8x + y y(x) =

A: (x+3)y'=8x+y y'=8x/(x+3)+y/(x+3) y'-y/(x+3)=8x/(x+3) linear differential equation dy/dx+Py=Q…

Q: The minimum value of N such that the remainder estimate given in the text guarantees that SN…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: Find the derivative of the transcendental function. h(x) = - 14 sec x X h'(x) = -5x2-14 secx-tanx

A: We need to find the derivative of the given transcendental function.               hx=5x-14secx

Q: Solve y(1): dy/dt + x = 1; dx/dt-y + 4e¹ = 0; x(0)=0 and y(0)=0.

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Q: 2-3i/1-2i

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Q: Rewrite the following equation with the variables separated: y dy cos y dy dx = dy cos y o dy = 1 =…

A: We have to find out solutions

Q: Find the angle of least positive measure coterminal with the given angl 869°

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Q: f(x) = 3x^3 + 9x^2 + x + 3  Factor f(x) into linear factors. Don’t forget the leading coefficient.

A: The given function is; f(x)=3x3+9x2+x+3.

Q: Find the 4th -degree Taylor polynomial centered at x = 0 for the function f(x)=√1+x. Use the…

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