Find the interval of convergence of the series xn Σ n8" n=1

Q: Write an equation for a rational function with: Vertical asymptotes at x = 6 and x = -4 x intercepts…

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Q: Solve the applied minimum and maximum problems. Make sure to sketch figures to illustrate the…

A: Use minimizing concept

Q: b) √ ²x³-x+4 dx x3 7T 4 (sin X

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Q: 8 n=1 (−1)n-¹ 3 + 5n

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Q: y' = X 2 h

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Q: e²x-2x-1 x² f(x) = a) lim f(x) x⇒0+

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Q: Find the derivative of the function at P in the direction of A. f(x,y,z) = xy + yz +Zx, Po(-3,3,-2),…

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Q: 4) Given the points A(1, 2, 3), B(5, 4, 3), and C(2, 1, 2), find angle C

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Q: Using the laplace transformation table, evaluate the following, considering any other variable other…

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Q: RIN Find the linearization L(x,y) of the function f(x,y)=e4x cos (3y) at the points (0,0) and 0₁-…

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Q: A company manufactures two products. The price function for product A is p = 20-x (for 0 ≤ x ≤ 40),…

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Q: If the population of a city is 155,000. If the population declines continuously by 5% per year, what…

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Q: air resistance can be ignored, how high does it go?

A: Given query is to find the height of the ball.

Q: 4. Determine whether the following statements are True or False? y = f(x)

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Q: What is the exact area bounded by the curve f(x) = 1/2 X and the x-axis on the interval [1, 8]?…

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Q: [2x.ex dx=2x.e-fe.2dx =2x.e- er.2 =2e* (x-1) H.W. 2-1x3.ex de 3- f x2. cosx dx 들 27

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Q: -3x² - 4x + 3 1 x (x + 1)² dx

A: Given problem:-

Q: xy a. Compute the first- and second-order partial derivatives of f(x, y) = xe with respect to both x…

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Q: Let R be the region inside the polar graph labeled "Inside" and outside the polar graph labeled…

A: We will find the region R covered from inside by r=8 and outside with curve r=-8+8sinθ.

Q: Σ (-1)" n=0 2n TT (2n)!

A: Given: The series is  ∑n=0∞ (-1)n π2n(2n)!

Q: dy Assuming - 2x³ + 8y² + 6xy = 0 defines y as a differentiable function of x, use the theorem dx dy…

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Q: What is the period of the graph below? sto 8+ 7+ 6+ him

A: As we can see graph  Function repeat his value after every 4 point .

Q: polar integral to find the area rusk 2) Use a enclosed by the three - petaled T = Singe

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Q: TYPEWRITTEN ONLY PLEASE. ILL UPVOTE ONLY IF TYPEWRITTEN, COMPLETE, AND CORRECT. DONT ANSWER IF YOU…

A: To differentiate the functions.

Q: 1. Evaluate the given integral Q. Q - CC² LL- (x - y) dx dy y²

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Q: If the equation F(x,y,z) = 0 determines z as a differentiable function of x and y, then, at the…

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Q: e này n 2

A: For the series ∑an the series is convergent or divergent is given by the ratio testlimn→∞an+1an=L…

Q: əz Let z = x² + y³, x = 2st and y = s-t². Compute for and ar

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Q: 3. Find the member of the curve whose slope at any point is and passes through the point (1, 1)

A: The given problem is solved below in detail.

Q: The sum of the lengths of the two diagonals of a parallelogram is 18 m. One diagonal is 2 meters…

A: Let the length of a diagonal is = d1=x m So the length of the other diagonal = d2=(x+2) m. Given…

Q: Jo dx 0 1-x² 2 e) fx√x² + 1dx (Hint: use a substitution)

A: Use substitution to solve

Q: 2. Consider the function f(r). 2r²-9r-18 r²-r-2 (a) Sketch the curve y = f(r). (b) Find the area of…

A: We have to sketch the curve and find area.

Q: d. lim+ In 1000 X X5

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Q: A plane that passes through the points A(2,1,1) B(-1,-1,10) C(1.3.-4). Find a vector perpendicular…

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Q: Find the derivative of a composite function using the Chain Rule or General Power Rule.  1.)…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 5/16 Find the enclosed area by the curve with equation y = 4-²,the X-axis and the lines x = -1 and x…

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Q: Topic: Arc Length Find the length of the arc of the function x^2 = 4y from x = -3 to x = 3. a) Graph…

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Q: find d2y/dx2 at x=2 a. y=x^(2) (\sqrt(x)+2) b. y=3x^(2)-(4)/(\sqrt(x))

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Q: Find the integral offsec²x dx tan x

A: This is a problem related to integration. based on the general formula and concepts we will answer…

Q: lim X→+∞ 5 In³ x 2 X²

A: Let's evaluate limit.

Q: 2.1 Limits 2 1. Use the graph to estimate the limits or explain why the limits do not exist. y (a)…

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Q: The doubling time of an investment is the amount of time it takes to double in value. If an…

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Q: Find the member of the curve whose slope at any point is 2e** and passes through the point (0, 1)

A: We need to find the member of the curve whose slope at any point is 2e^(4x) and passes through…

Q: Find the equation for the tangent plane and the normal line at the point Po(1,1,3) on the surface…

A: Given problem:- Find the equation for the tangent plane and the normal line at the point Po(1,1,3)…

Q: 1. Evaluate the given integral Q. Q = $₁² [² (2² Your answer (x² - y) dy dx

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Q: 5x5 (a²-x²)6 dx 0

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Q: Evaluate the following limits. a. limx→+ 2x 3x²

A: This question is based on limits.

Q: Evaluate each limit if exist lim x -> 0 (\sqrt(x+7)- \sqrt(7-x))/(2x) lim x ->3…

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Q: 11. Find the limit using algebraic techniques. The limit of f(x) = -4 O- 0 O=¹ x+4 2x²+5x-12 as x…

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Q: 2 x (1 + y²) dx -y (1 + 2x²) dy = 0

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