(-1)"+l2nx" Determine the interval of convergence of2. n² +3 n=1

Q: Given the function f(x) = +x° + x° + 2%x*, find all x-values where f has an inflection point. 6. Ans...

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Q: 4. If f(x) = sin x, find f' (x) %3D Find f'(4)

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Q: Use the sum and difference identities to simplify the expression. sin(-75)

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Q: Given the triangle below, find sin(0). Enter the answer as a fraction. 17 15 0. 8

A: Find your answer below 

Q: You want to build a 1000 square foot rectangular infinity pool. Three of the sides will have regular...

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Q: If f(x) = 2x+11 then we can write %3D (x-1)(x²+x+1) Select one: O f(x) = 4 + x+1 x+x+1 O f(x) = + X-...

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Q: Properties of Inverse Matrices If A is an invertible matrix, k is a positive integer, and c is a non...

A: we will use the property,  (AB)T = BT AT   and  AA-1 = I   

Q: Determine if the provided sequence is divergent or convergent

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Q: Find the volume of the pyramid with base in the plane z = -1 and sides formed by the three planes y ...

A: We need to evaluate volume.

Q: The table below gives selected values for the differentiable and decreasing function f and its deriv...

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Q: Sts dx 4+x4 4 4 V2

A: ∫54254  x4+x4dxlet   x2=t differntiate on both sides     2xdx=dt∫xx4+4dx=12∫2xx4+4dx12∫2xx4+4dx=12∫d...

Q: Question-2 (1.

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: 13. Find the length (units) of the arc of the curve 8y = x* +; from x = 1 to x = 2. 35 а. 16 33 33 b...

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Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley ...

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Q: Graph the functions in Exercises. of the function on the interval and say where they occur. Then fin...

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Q: Q1/ sketch the region bounded by the curves. Then express the region's area as an iterated double in...

A: We have to sketch the region and find the area by using double integral.

Q: Shaw Abooraically that Fand 6 ace.ivee F)=-3x2+5,X20 gW=D5-x 3. theN explain why a restriction was p...

A: if we have to find inverse of function then interchange the x to y and we get f-1x.if y=fxx→yx=fyy=f...

Q: 3 Calculate the arc length of y = x? over the interval [1,5].

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Q: IV. Determine whether the given series is convergent or divergent. Justify your answers. +00 (2n)! 2...

A: a) By using telescoping series test, the given series converges.   b) By applying Series Ratio test,...

Q: maximize 2= 1.8x, t H,2X2 Subgect to: 2.8X + 3.4x2= 21 1.4x1 +2.2x2 s 11 w+し ×、=o,メ2 Mo what is the ...

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Q: 21 Solve the equation on the interval [0,27]. sin20 + sin0 = 0

A: Given query is to find the solution of the trigonometric expression.

Q: 25 1. If cscy = 24 %3D

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Q: Selected values of f(x) are shown in the table below. What is the e10 trapezoidal sum approximation ...

A: We have to find ∫410f(x)dx  

Q: 1. lim (x+5x2 – 7x + 1) x-2 ( x +4 if x<-1 if – 1<x <1 if x 21 8. lim f(x), where f (x) =3 2x + 1 IM...

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Q: x+4 5. S #dx

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Q: Explain why the integral is improper. 8. dx (x - 7)3/2 140 120 100 y 80- 60 40 20 O At least one of ...

A: Improper integral: If f(x) is continuous on the interval (a,b] and not continuous at x=a then,      ...

Q: 15 – 2x Evaluate -dx (x- 4)(2x²– 6x +9) Then, write the coefficient of the integral: Blank 1 In|x – ...

A: Using the partial fraction to solve this integration. 

Q: Determine whe ther the series is Convergent or divergent.write the exact test that you Use. n=2

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Q: d. f(u) = (4u + 5)(7u3 -2u) %3D 3s – s* C. gts) = %3D 2 +1

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Q: Find the area of the area bounded by the given curves. Draw a figure showing the region and a rectan...

A: Area(A)=∫-21x2-2x+3 dx

Q: Find the intervals on which the graph of f is concave upward, the intervals on which the graph of f ...

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Q: 0. Find a point on the line 3x +4y -25 =0 which is closest to the origin.

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Q: Give the equation of the horizontal asymptote, if any, of the function. g(x) x2 + 8x - 3 x- 3 Oy=0 O...

A: Since, when the degree of numerator is greater than degree of denominator by one then there is no ho...

Q: 4. The image in the region below is revolved around some line. Set up, but do not evaluate, integral...

A: Solution

Q: 7 - 7 cos (x) + 3x? Evaluate the limit: lim 10x2 Answer: Submit Answer

A: Please see the solution below.

Q: Find the point(s), if any, at which the graph of f has a horizontal tangent line. f(x) =  x2 x − 5 s...

A: We have to find the point at which the graph of f has horizontally tangent line

Q: Find the arclength of the curve in the given interval. x = 3 cos? t , y= 3 cost sin t , 0 s<t <t

A: solution is written in below steps.

Q: Solve this differential equation: 0.07y(200 – y) y(t) =

A: Given: Now,               y' =0.07y200-y⇒dy0.07y200-y=dx⇒dy-0.07yy-200=dx⇒114y+-114y-200dy=dx⇒114y-...

Q: Find the equation of the tangent plane to the surface z = ly² – lz² at the point (-2, 0, -4). 4x+0

A: Given   z=y2-x2 We have to find equation of tangent line at the point(-2,0,4)

Q: Find the function value at first derivative 1. if f'(x) = (x* - 2)(x* - 5) find f(-1) 2. if f(x) = f...

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Q: Determine the value(s) of k such that the area of the parallelogram formed by the vectors a = (k + 1...

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Q: Calculate the arc length of y = - x² - In x over the interval [1, 8e]. %3D

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Q: fip given the equation a+y = e. dz Use implicit differentiation to determine dy da > Next Question

A: Given query is to find the derivative of the expression.

Q: 1. (a) Plot the first four terms of the sequence 3n2 – 3n + 2 n=1 (b) (i) Write in bracket notation ...

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Q: Find a solution for y in terms of x that both satisfies the differential equation and passes through...

A: We have to find the solution of differenrial equation

Q: Market research for a certain ice cream company indicates that if the price per cup of ice cream is ...

A: Given query is to find the demand function and revenue function.

Q: Given the matrix and its eigenvalues 2 27 0 0 4 40 has eigenvalues R, = 2 and R, = 34 and R, = 0 II ...

A: Solution is written in below steps.

Q: 1. Express B= 2i +j-3k as the sum of a vect or parallel to A = 3i - j and a vector orthogonal to A. ...

A: To express the vector B→=2i^+j^+3k^ as the sum of a vector to A→=3i^-j^. Solution: let B→=2i^+j^+3k^...

Q: Solve the differential equation by using integrating factors. xy' = 3y − 8x2 y(x) =

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Q: x5+x-1 4. S**- dx x3+1

A: A detailed solution is given below