Find the interval of convergence of E(-1)". n 2n 36" n=0

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A: Let's find.

Q: Find the equation of the tangent plane at the point x = xo = 4, y = yo = 1 of the surface %3D z =…

A: Option C is true

Q: dx S- xV x2 +4 Evaluate: 그yx2+4-4 + C A) x +4 +4 x² + 4 - 4 + C x2 + 4 +4 1 B 2 x² +4 – 2 + C x² + 4…

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Q: Evaluate: x/9x2 + 4 (A f (x) = -4 ln V9x2 + 4 + 2 +C f (x) = - In 4 V9x2 + 4 + 2 + C 3x © f (x) = -2…

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Q: dx Evaluate: x/9x2 + 4 /9x² + 4+ 2 Af (x) = -2 ln| +C 3x V9x² + 4 + 2 In В f (x) = - +C 3x f (x) =…

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Q: Let x = 1.57 and y = 4.55. Determine the value of C when you evaluate J cot-(2x)dx. (use radian form…

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Q: f) 3rd derivative of y : sin 3x g) Find if yVx – 8 = xy +2. if yvx – 8 = xy + 2. dx

A: Note: As in questions d and e no instruction is given solved f and g for you.

Q: 1. a) A pond initially contains 500, 000 gallons of unpolluted water has an outlet that release 10,…

A: Let x(t) be the amount of pollutant in grams in the pond after d days Here we use a formula; Total…

Q: Let f(x,y) = C be the antiderivative of F(x) = x-cos(2x), Determine the value of C if x = 22 and y=…

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Q: 1.) Evaluate S3xsin ()d*

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Q: Let f(x) =- a) Use the concept of limits to determine the equation of the horizontal asymptote of…

A: Consider the function  f(x)=xx-1

Q: Integral test tô đéterm ner each of ne following series converges diverges 00 3 a) 2 2n2 + 1 b) E:…

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Q: 1) Find the derivatives of the following. Simplify your final answers. e) y = Vx*

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Q: Compute the exact value of -1)"(n + 2) 2"+1(n+ 1) * n=0

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Q: Showw Fom yex)=D90Y,(x) + a, y,(x) that seris sol utron is of the hene y,cx) contains only even…

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Q: 1. Differentiate the following with respect to the variable given. 1 cosx 2 sin' x tan

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Q: In(x) dx Vx

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Q: . Ssin's cosʻx dx COS COS

A: First we divide numerator and denominator by 26 and then use the formula sin(2x)=2sinx cosx  And…

Q: Verify that the function satisfies the three hypotheses of Rolle's theorem on the given interval.…

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Q: Would it be absolutely convergent or conditionally convergent?

A: Let, for the given series the nth term is an=-1nn15+1n23+3.   Using the ratio test of the absolute…

Q: Find the values of c such that the area of the region bounded by the parabolas g(x) = x² – 2c² and…

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Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at x = a for f(x) = 12 sin (x), a =…

A: f(x)=12 sin(x)fπ2=12f'(x)=12 cos(x)f'π2=0f''(x)=-12 sin(x)f''π2=-12f'''π2=0Taylor polynomial…

Q: C) Use separation of variable or homogenous equation to get the particular solution for each…

A: The objective of the question is evaluate the particular solution of the differential equation.

Q: Given a function f(x,y) = x* + 2y + 8xy – 7 The critical points of f(x,y) occur at the points P(0 ,…

A: A point (a,b) is said to be a saddle point of f(x,y) if at (a,b)(fxxfyy)-(fxy)²<0 A point (a,b)…

Q: A police car is located 60 feet to the side of a straight road. A red car is driving along the road…

A: The police car and the red car are at the twovertices of a right angle triangle with legs of200 feet…

Q: Eliminate all the constant in the equation and simplify your final answer. 1. y = C,x + C2e*

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Q: Graphing calculator allowed. The position function of a particle in rectilinear motion is given by…

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Q: Determine the area of the largest rectangle that can be inscribed in a circle of radius 5, as…

A: We have to find area of largest rectangle that can be inscribed in a circle of Radius 5 unit.

Q: (a) Find a power series representation for f(x) (9 + x)2 (-1)"(n+1)x" f(x) = > 9"+2 n = 0 What is…

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Q: Let f(x,y) = C be the antiderivative of F(x) = x<cos(2x), Determine the value of C if x = 35 and y=…

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Q: x + 5 Which of the following formats should be used for the domain of the function: f(x) = x² – 2x -…

A: Given,  f(x)=x+5x2-2x-8

Q: Evaluate the following indefinite integrals. Show all the necessary solutions. 4. Ssin'x cosʻx dx

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Q: Answer is incorrect

A: Apologies for the inconvenience. Correct solution is given below:   Given: vt=-4t2-2t-8, 1≤t≤6…

Q: xcos-(x) If x =0.34 and y = 0.12, then value of C in the antiderivative of F(x)= is (use radian form…

A: If x=0.34 and y=0.12 then find the value of C in the derivative of function F(x)

Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = e2x + e-x (a) Find the…

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Q: Find all Critical points of the function : 2 f(x,y) = 4x° + 6x°y+ y° - 10y? - 48y + 18 Critical…

A: Given problem:- Find all Critical points of the function :   f(x, y) = 4x3 + 6x2 y + (2/3)y3 - 10y2…

Q: 2 -/2x+1 Let F(x,y) = C be the antiderivative of f(x) = . What is the value of C if x=16 and y=19?…

A: Here is the solution

Q: Find the coordinates of the point P on the line and a vector v parallel to the line. x = 3t, y =…

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Q: determine a power series Given the power series representation 1+ 8. representation for In (1+ along…

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Q: Find (if possible) the rational zeros of the function. (Enter your answers as a comma-separated…

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Q: If x =0.77 and y = 0.86, then value of C in the antiderivative of F(x) = xcos-1(x) is (use radian…

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Q: - tanf/3x* + Im(5x*) - In(5x*) y(x) = tan3x² +

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Q: Use Lagrange multipliers to find the indicated extrema of f subject to two constraints, assuming…

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Q: Exercise 2: Determine the measures of the numbered angles in the following figure 6 5 92° 1 b.

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Q: Find the area in square units bounded by the following: (Show graph and detailed solution. Box final…

A: To find the area bounded by the given curve and x axis.

Q: Which of the following is true? A Jcos(3x)cos(4x)ax = [ cos(x) + cos(7x), 2 ® Jsin(3x)sin(4x)dx = […

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Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.2 cm/min.…

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Q: The general solution of xty= -x³y- csc(xy) is 2x?cos(xy) – 1= cx B 2x?cos(xy) +1= cx? (с) -2хсos(xу)…

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Q: 3. Scscx dx Csc°x

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Q: 1000 Use the given below to answer #s 40-42 Given: cos A =. 3/5 and sin B =-12/13, where A is in…

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