1 7. Ση=0 (2n+1)!

Q: Find the area of the region that lies above the x-axis, below the curve x = =t² + 5t+3, y = e with 0…

A: Given that the region that lies above the x axis, below the curve  with

Q: At which of the value(s) of x below does f(x) = ²³² +5x² + 25x + 1 have a horizontal tangent line? O…

A: Given that, the function is .We need to find the value of x for which the given function has a…

Q: Please answer parts C and D

A: We have to find the limit of the given function.We will use the L Hospital rule to find the limit.

Q: 16. Split the number 15 into two parts so that the product of one part and the other is maximized.

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Q: T Find the equation of the tangent to the curve = cos³x - sin²x at the point where x =

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Q: What substitution(s) would make the following integral simpler? I.e., simple enough to integrate by…

A: Given

Q: For the function g(x) graphed here, find the following limits or explain why they do not exist. a.…

A: The graph of the function g(x) is shown as,Since parts a to c are already solved in original…

Q: Write out the first four terms of the Maclaurin series of f(x) if f(0) = 13, ƒ'(0) = 1, f(x) = + f"…

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Q: f(x) = −x+10 g(x) = x² − x − 11

A: Given that the function

Q: n = 1 (-1)"x" n

A: Given that the series we have to find the radius of convergence and interval of convergence

Q: dy dx = 2 2 Cosy

A: Given that expression we have to find general solution

Q: Use Green's theorem for flux to evaluate the line integral F. û ds. F = (2xy, y² – x²) and C is the…

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Q: Find the domain of f(x). f(x)=√x² + 7x + 10

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Q: Find the tangent to y =√x-x+10 at x = 10.

A: y=x2−x+10 at x=10dydx=ddxx2−x+10Chain Ruleddxf(g(x))=f′(g(x))g′(x)Using the power Ruleddxxn=nxn−1

Q: tanh x = e²t - 1 e²x + 1

A:

Q: 7. Point (4, 6, -7) Perpendicular to n = j

A: Given that the equation of the plane passing through the point (4,6,-7) and perpendicular to n=j we…

Q: Set up and evaluate the triple integral in spherical coordinates needed to compute the volume of the…

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Q: d ха H at saxa dxJo *²² +4

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Q: Given the function f(x) = 5x² − 3x + 9 and the point P(-4, 101), which lies on the graph of f(x),…

A: The objective of this question is to find the equation of the tangent line to the function f(x) =…

Q: i. x+1 lim X→∞ X-1

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Use the Alternating Series Remainder Theorem to determine the smallest number of terms required to…

A: The objective of this question is to find the smallest number of terms required to approximate the…

Q: Derive the formula of a circle using horizontal strip

A: We need to derive the formula of the area of a circle by using horizontal strip

Q: derivative In 2 x-1 2 x+1

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Q: Estimate the average value of f(x) from x = a to x =b using the figure. The average value of f(x)…

A: We are given a graph of function . From graph it is clear that function is continuous on [a,b].We…

Q: 9. Two buses are driving along parallel freeways that are 5 mi apart, one heading east and the other…

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Q: Find the slope of the curve at the given point. 5y5+3x3 = 2y + 6x at (1,1)

A: We have given an implicit function5y5+3x3=2y+6x

Q: Find the dimensions of the right circular cylinder of greatest volume that can be inscribed in a…

A: The right circular cylinder is inscribed in a sphere of radius .The aim is to find the greatest…

Q: Find an equation of the line tangent to the following curve at the given point. 2 5x 3' 6 y = T= 1…

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Q: j. lim sin x x →0 k. lim sin² x x→0 1. lim sin 3x X-Z 2 m. lim cos³ x X→= 2

A: To find:-(j) (k) (i) (m)

Q: (−1)n n²zn n! Consider the series (-1)” n=1

A: ∑n=1∞(−1)nn23nn!Ratio TestL=limn→∞|an+1an|Where an is the nth term of the series.If L<1, the…

Q: 9-30. Finding area Determine the area of the shaded region in the fol- lowing figures. 10.

A:

Q: 58. Movie Theater Tickets A movie theater charges $9.00 for adults and $7.00 for senior citizens. On…

A: Movie Theater Tickets A movie theater charges $9.00 foradults and $7.00 for senior citizens. On a…

Q: Consider the following parametric curve. Answer parts a and b. 70 x=2 sint, y = 2 cost; t=2 a.…

A: The given parametric equation of curve is

Q: 61. Presale Order A wireless store owner takes presale orders for a new smartphone and tablet. He…

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Q: Find the sum of the series: n=0 x³n-2 n!

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Q: Specify the period and amplitude for the function. period amplitude -20 -15 -10 -5 11111111 y…

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Q: Compute the indicated quantity using the following data. 15 17 sin α = cos B cos e (a) (b) = 7 25…

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Q: 1. Describe the convergence of the series 3! + 3² + + (n+1)² (n + 2)! +

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Q: you alos calculate the following

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Q: Determine the amplitude, midline, period, and an equation involving the sine function for the graph…

A: A graph of the trigonometric function is given.The aim is to find the equation of the graph.

Q: L³₂x³dx -2 2 1 x+0.5 dx

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Q: Express the function as the sum of a power series by first using partial fractions. (Give your power…

A: The given function is

Q: Find the cost function for the marginal cost function. 7 C'(x)=9x; 10 units cost $171.99 X Write the…

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Q: Suppose the cost to make a widgets is given by C(x) = 2x² + 4x + 2. Find the marginal cost function…

A: The given cost function

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A: To find a formula for the general term  of the following sequence.

Q: 19. Use Newton's Method to estimate the one real root of f(x)=x²+2x-2. Start with x = 1, and perform…

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Q: An elastic band is hung on a hook and a mass is hung on the lower end of the band. When the mass is…

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Q: The latitude of a point P on the surface of the Earth is specified by means of the angle in the…

A: OP = OE = 3960 mi.*to find : arc length, PE = ?

Q: Find the limit of the sequence as n approaches infinity: 5n 3 5n+ 5 an - -

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Q: The Taylor series for f(x) = e² at a = 3 is Σen(x − 3)". n=0 Find the first few coefficients. Co C1…

A: