Determine whether the series converges, and if so find its sum. 4k+2 Σ k=1

Q: 1. Find the zeros of f(x) = x³ + 4x? + 3x. x = 0, x = –3 || x = 0, x = –3, x = –1 x = 0, x = 4 %3D -...

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Q: V1+x3 –dx r-2

A: ∫1+x33x-2 dx∫x2.1+x33 dx13∫3x2.1+x33 dx13∫3x2.(1+x3)13 dx

Q: 10. a) What transformation are used to turn the parent function f(x) = x³ into g(x) : -(2³ – 3) +2. ...

A: Given query is to find the transformation applied and then graph the function.

Q: S(x+)* dx- X.

A: Given: I=∫x+1x2dx   We know that; The Power rule: ∫ax+bndx=ax+bn+1n+1+C ; n≠-1 And The sum/differenc...

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Q: Convert the Cartesian coordinates below to polar coordinates. Give an angle 0 in the range 0 0. V3 ...

A: We know that, relation between cartesian co-ordinate and polar co-ordinates, r=x2+y2 and θ=tan-1yxHe...

Q: 2. Let g be the function whose graph is shown below. 3 2 1 y = } -1 -1 (a) Evaluate lim g(x), lim g(...

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Q: Students in a zoology class took a final exam. They took equivalent forms of the exam at monthly int...

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Q: about 12 ounces of fruit juice requires a volume of 113 cubic inches for its packaging. How  should ...

A: Question : About 12 ounces of fruit juice requires a volume of 113 cubic inches for its packaging. H...

Q: 7. Including complex zeros find all zeros of f(x) = 9x° + 57x² + 66x + 30

A: We have to find the zeros of the given polynomial.

Q: В. up to 6 decimal place. Then, answer the corresponding question in each number. Evaluate the follo...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: HOW DIDHE GET THE VALUE INSIDE THE CIRCLE AND THE ORDER OF THE STEPSAFTERIT? 2. dz Sol Let b2 = 2t Z...

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Q: Use the given values to evaluate (if possible) all six trigonometric functions. (If an answer is und...

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Q: Solve the given differential equation. All solutions should be found. dy x6 – 4y - dx NOTE: Use c fo...

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Q: y(x^2+xy-2y^2)dx+x(3y^2-xy-x^2)dy=0 solve using homogeneous equations

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Q: Determine the values of r for which the differential equation y" – 36y = 0 has solutions of the form...

A: We have to find the number of values of r which satisfies the equation.

Q: Solve the equation. 4k 45 e = 225 If 45 e 4k %3D = 225, then k= ||N (Type an exact answer.)

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Q: just answer p2(x), p3(x), and p4(x). and please box your answer and make it clear. thank you

A: This is a problem related to derivative of the function. Maclaurin series is nothing but Taylor seri...

Q: Evaluate the definite integral. 13 dx 3 (1 + 2x)2

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Q: S(x+ )´ dx 2 1 X X.

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Q: 25. n- (1+) n = 1 M 8

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Q: Differentiate. y = In (5x-9x+1) (5x² - 9x + 1) y' = 1

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Q: Let A, B and C be any sets. Which of the following is equal to (A U C) n (B \ C)? Select one: a. (A ...

A: Solution is given below:

Q: rmine the coefficient of Cot(x) when we evaluate J[cot(x) – csc(x)]²dx. 1 1 2 None of the given choi...

A: Given query is to find the integral.

Q: Find the value or values of x for which the curve of the following functions has a point of inflecti...

A: point of inflection where double derivative is zero.

Q: Find a differential equation that corresponds to the given direction field. Consider differential eq...

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Q: 39. If z = 5x² + y² and (x, y) changes from (1, 2) to (1.05, 2.1), compare the values of Az and dz.

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Q: olve a nonlinear equation by making a change of the dependent var portant such equation has the form...

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Q: Use the Integral Test to determine whether the infinite series EL is convergent. (Use symbolic notat...

A: Here, the given series is: ∑n=1∞19n2+1 Using the Integral Test, to determine the series is convergen...

Q: Find the value or values of x for which the curve of the following functions has a point of inflecti...

A: This question is based on finding inflection point of function.

Q: y par e for JTx (inx)? dx. wtioni dv = %3D

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Q: 15. Solve the inequality. 7|x – 5| > 7 -4 < x < 6

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Q: Each of two sides of a triangle are increasing at the rate of 1⁄2 foot per second, and the included ...

A: Rate of increase in side lengths = 0.5 ft/s Rate of decrease in angle = -2 degree/s Angle between si...

Q: Evaluate lim -2x csc (-5x). Submit an exact answer.

A: We can find the limit as below

Q: Evaluate the indefinite integral. 30 V cot(x) csc2(x) dx

A: ∫cot(x)30csc2(x) dx-∫cot(x)30(-csc2(x)) dx-∫(cot(x))130(-csc2(x)) dx

Q: -5х + сos (9x)-1 (9х) — 1 Evaluate lim 2x Submit an exact answer.

A: NOTE: Refresh your page if you can't see any equations. . use the L'hospital rule

Q: 1.3 + j4 2. –3 + j4 3. –3 – j4 4. 3 - j4

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Q: Suppose Gavriel's utility depends on the amount of time spent playing on Xbox (X) and the amount of ...

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Q: Find the solution of the given initial value problem. cos t y + y(m) = 0, t>0 y(t) =

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Q: ax²ª (x2a+1)°dx

A: Given,           ∫ax2ax2a+13xdx

Q: Find the derivative of the function. 1 g(t): (5t + 1)6 30 g'(t) = (5x +1)7

A: Explanation of the answer is as follows

Q: 1. Evaluate the following limits. 3x + 10 – 4 (a) lim 2--2- r2 – 4x + 4

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Q: 6. Find the unit vector for which the directional derivative Duf(x,y) of f(x,y) = %3D 3x2 + 4y2 at t...

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Q: 9. Sze4z²dz

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Q: Newton's law of cooling states that the temperature of an object changes at a rate proportional to t...

A: Since u denotes the temperature of an object, dudt ∝ (u - ua)dudt = - k (u - ua)(Negative sign impli...

Q: Find the inflection points of each of the given curve.  4y = 3x4 – 16x3 + 24x2

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Q: 2x 26. Evaluate / sec (= tan 5 dx and determine its particular antiderivative whose y-intercept is 2...

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Q: The gross domestic product (GDP) of a country is $78 billion and growing at the rate of 4.41-1/3 bil...

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Q: If f(x, y) = x cos y + ye", find dydx

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