Find the nth Taylor polynomial centered at c. f(x) = In(x), n = 4, c = 4 P4(x)

Q: (1) Find the summation of the series +++++

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Q: (a) Use the information you answered on number 10 to graph the function from that problem. 10) P(x)…

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

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Q: 4. Find all point(s) on the graph of ƒ at which the tangent line is horizontal. (a) f(x) = sec² x…

A: Given:     fx=sec2x      for x∈0,2π\π2,3π2 To determine the points on the curve at which the tangent…

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Q: x - 2y - 4z = 2 2x-3y-6z = 4 -3x + 6y + 13z = -1 Solve the system of linear equations using the…

A: The given system of linear equations:x-2y-4z=22x-3y-6z=4-3x+6y+13z=-1

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Q: If the following series converges, compute its sum. Otherwise, enter oo if it diverges to infinity,…

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Q: Suppose f is a one-to-one, differentiable function and its inverse function f-1 is also…

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Q: Estimate the area between the curves y = 3x² and y = 19x. Use a graphing calculator to compute you

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Q: Describe the motion of a particle with position (x, y) as t varies in the given interval. (For each…

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Q: Set up a triple integral in spherical coordinates that would determine the exact volume outside the…

A: The given spheres are:7x2+7y2+7z2=27x2+7y2+7z2=5y≥0   and   z≤0

Q: Consider the following table, which shows a data set relating the number of full days hikers spent…

A: First we find the   regression line

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Q: The Venn diagram shows sets A, B, C, and the universal set U. Shade (A'U B) n C' on the Venn…

A: Venn diagram is used to represent  Let's first draw the Venn diagram step by step.

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Q: Given the vectors v and u, answer a. through d. below. v = 10i+2j-11k u = 3i+ 4j a. Find the dot…

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Q: Sand is pouring out of a pipe and is forming a conical pile on the ground. The radius of the pile is…

A: Volume of the cone , V =13(radius)2(height).

Q: 0 A B (5, 1) C (2y+1,2-y)

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Q: Find the general solution to the homogeneous differential equation d² y dy dt² dt The solution can…

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Q: Which of the following differential equations most likely represents the given directional field? a.…

A: The answer is in step 2.

Q: 1. a) Solve the following differential equations: ydx x i) -1 (tan-¹x) dy = ydx x² +1 (In x)dy, b)…

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Q: Which of the following integral will give the volume of a solid produced if the region bounded by X=…

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Q: Solve the following first order homogeneous differential equation. Show the outline of the solution…

A: To solve the given homogeneous differential equation

Q: Differentiate y = cot ¹(t) + cot ¹(1/t). y = [

A: We know that: The Sum/Difference rule: f±g'=f'±g' The Chain rule: fgx'=f'gx·g'x Use the derivative;…

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Q: A baseball team plays in a stadium that holds 66000 spectators. With the ticket price at $10 the…

A: Given query is to find the ticket price for maximum revenue.

Q: The volume of a solid bounded by the equations z=x+4, y=4-x², y=3x and the x-y plane is given by the…

A: Given that:- The volume of a solid bounded by equations z=x+4,y=4-x2,y=3x  ant the xy plane

Q: Find d2w/dz2 for the given function.   w= 8z2e2

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Q: Find the volume of the region between the cylinder z = 2y² and the xy-plane that is bounded by the…

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Q: | 13. f = 汙 讨 a

A: In this question we have to find which variable represent which function.

Q: The graph of y = f(x) is shown below. -2 6 Find f f(x)dx. -4 02 y 4 2 -2 -4 0 2 f(x) 4 6 x

A: Given query is to find the value of the integral.

Q: Convert the point (x, y, z) = ( – 5, 5, — 5) to cylindrical coordinates. Give answers either as…

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Q: The length of a rectangle is increasing at a rate of 5 meters per minute and the width is increasing…

A: Given, rate of change of length, dLdt=5 meter/min. rate of change of width, dwdt=1 meter/min.…

Q: The vector v = ai + bj is perpendicular to the line ax + by = c. Use this fact to find an equation…

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Q: One inlet pipe can fill an empty pool in 6 hours, and a drain can empty the pool in 9 hours. How…

A: Solve the given

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A: This question is related to definite integration, we will solve it using given information.

Q: Graph the function f(x) = ' x-x determine the following limits. Complete parts a through d below.…

A: Topic = Functions Correct graph = A

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Q: 2 32 4 5 Graph equations 1-4 on Desmos. Use the graph to complete the other parts of the table.…

A: We know that graph of y=ax2+bx+c is a parabola , it opens upward if a>0 and downward if a<0.…

Q: Example 5: Solve the following initial value problems.

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Q: Use the definition of continuity to determine if each function is continuous or discontinuous at…

A: Given function:- fx=x-2x≤-1-xx>-1 Condition to continuity at x=alimx→a-fx=limx→a+fx=fa