7)Debermine whether the inkegra) is covergant. Pivergank If its convergant, evaluate it.

Q: 4 Determine whether the alternating series E (- 1)"7 converges or diverges. 9 Inn n=2 Choose the…

A: FOLLOE NEXT STEP

Q: 3) Determine if the series converges or diverges. If it converges, to 00 2* what does it converge?:…

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Q: Q2) Find the integral value for the following functions 3x 1. S 2. S(sec(4x) – 1)² dx 3. S dx V1+3x2…

A: The integration of the integrals is  1) 3x/sqrt(1+3x2) 2) [sec(4x)-1]2 3)1/[1+(5x+1)2]

Q: QUESTION 2 Assume that we have the following function: f(r1,x2) = 2xf + x5 – 4x1x2 on S = R. Is it…

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Q: 4 Find the inverse Laplace transform of s? + 8s

A: As we know from the property of the Laplace transform; L-1a·fs+b·gs=a·L-1fs+b·L-1gs And…

Q: The function, that is O everywhere except at t=0, is know as: None of these O Unit step O Delta O…

A: topic - functions

Q: Assuming that the equation below defines y as a differentiable function of x, find the value of dy /…

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Q: The graph of f is shown below. Evaluate each integral by interpreting it in terms of areas. 1,0 10…

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

Q: a) Find the linear approximation of f(x) = Vx b) Use it to approximate V26.9 at x= 27 %3D

A:

Q: 1. Rule 1: Add 2 starting from 9. Rule 2: Add 3 starting from 5. Sequence 1 Sequence 2 Ordered Pairs

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Q: Let y = f(x) be the function. Use the definition of the logarithm to obtain the inverse functions x…

A: Solving

Q: (a) Using series we already know, write down a formula for the (infinite) Taylor series for er - e",…

A: (a) The series used is: ex=1+x+x22!+x33!+x44!+...                 ...(1)

Q: Calculate y" and y". 4x – 7 y(x) (Use symbolic notation and fractions where needed.) y"(x) = y" (x)…

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Q: 6 Determine the interval of convergence for the power series that can be used to represent the…

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Q: Select the conic section represented by the equation. x 2 - 5y 2 + 6 = 0

A: Follow the procedure given below.

Q: Using a method of reduction to separable equation and reduction to linear equation, find the general…

A:

Q: For the curve defined by F(t) = 4 cos(t)i + 4sin(t)j + 5tk evaluate s = ||F"(«)||du to find the arc…

A: see below the answer and explanation

Q: The most appropriate substitution to simplify this integral is u = Σ Then du = M dx (fill in the…

A: Given the query is eveluate the integral.

Q: 5. f(x) = x(12.x + 8) 7. f(x) = 7x²/5+ 8x-4/5 %3D

A:

Q: When a factory operates from 6 AM to 6 PM, Its total fuel consumptlon varies according to the…

A:

Q: 5. Fill in the blank: For x, y ER. Equality in the Triangle inequality is satisfied, i.e. Ix+yl =…

A: x+y=x+ysquare on both the sides;(x+y)2=(x+y)2 x2+2xy+y2 =x2 +2xy+y22xy=2xyxy=xyis true only…

Q: Find the Taylor polynomial p1 (x) for f(x) = 8x2 at x = 5. %3D Provide your answer below: P,(x) = O

A: To find the taylor polynomial p1(x) .

Q: dx 4. S; x2Vx2-1

A: Given: I=∫dxx2x2-1   ...1 As we know that; The trigonometric identities; 1). sec2x=tan2x+1 2).…

Q: c). Find the area under the curve f(x) = 4x +2x over the interval (5,8)

A: Given,            fx=4x3+2x , the interval is 5,8To find : Find the area under the curve over the…

Q: x? In x dx

A:

Q: Question 1 Determine whether the integral is improper 5 (x– 4) -Idr Not improper

A: Solving

Q: Use integration to find the area of the triangular region having the given vertices. (0, 0), (8, 0),…

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Q: 5" converge or diverge? Does the series n= 1 Choose the correct answer below. O A. The series…

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Q: Calculate the first, second, and third derivatives of y(t) = 2016/5 – 6127. (Use symbolic notation…

A: We will use simple differentiation rules to solve this question.

Q: Without using a calculator evaluate the definite integral. | (10x - 6x +6) dx = Σ

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Q: Solve the following basic calculus problems: d а. cos x dx

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Q: Here are three functions that are related to each other. Correcti Tries: 3 One is f(x). Another is…

A:

Q: Determine whether the integral is improper (x- 4) -'dx

A: Step 1: Identify whether one or both of the bounds is infinite. If so, then this is a Type I…

Q: ydy J. 2y-1

A:

Q: 8. Let 7 (t) = < - 2 cos(8t),- %3D Find fF(t)dt (don't include the +C) frona -

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Q: Set up the definite integral required to find the area of the region between the graph of y 15- and…

A: Area between the two curves f(x) and g(x) over the integral [a,b] is given by A=∫abfx-gxdx

Q: Question 4 Solve the initial value problem: y'= - 0.03y + 6 y(0) = 50 |3D %3D y(t) = %3D Question 5…

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Q: 2. Rule 1: Subtract 4 starting from 20. Rule 2: Subtract 3 starting from 20. Sequence 1 Sequence 2…

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Q: 1. Find the particular solution using the Initial condition. xy'-y x.y(1) 7. Finally, sketch a slope…

A: Follow the procedure given below.

Q: Start with a square of area 1 square foot. Use the Sierpinski square design where the original…

A: We have to find that after round 5, how many squares are there, what is the area of this fractal.

Q: The shaded region between the graphs of y 2x + 20 and y = 3x 15 is displayed below in 25 H -6 - Ax –…

A:

Q: Find an equation of the tangent to the curve at the given point. x = 8 sin(t), y = t2 +t, (0, 0)…

A: The given curve,x=8 sin(t), y=t2+t at (0,0)

Q: The solution of the initial value problem: 1 dy X +1 dx 1 for which y(1) = 1 is y

A:

Q: A man borrows Php 100,000 from the Social Security System for a term of one year. The interest…

A: Bank Discount  =100000×15100=15000

Q: Find the curvature of the curve defined by F(t) = e"i + 4tj K = Evaluate the curvature at the point…

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Q: Use a power series to represent the function f(x) centered at x = 0. 9x5 – 2 Provide your answer…

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Q: Use the Quotient Rule to calculate the derivative for the function w(x) = at x = 4. Vx+x (Use…

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

Q: Approximate the integral using Taylor series method: | xsin?x dx

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Q: For each interval, choose the option that best describes the graph of f on that interval. from x=1…

A: We will use the given graph to solve this question. If the value of the function is increasing when…

Q: Determine wheather the Following g eometric series are convergent or divergent, If they are…

A: