11π 20. sin 2 6 3π 23.cos 11π 20. sin 2 6 3π 23.cos

Q: Question attached

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Q: Assignment #1 Q1: Test the following series for convergence. Specify the test you use: 1 n+5 (-1)n…

A: (a)  ∑n=0∞​n2+1​(−1)n​  Step 1: Check Alternating Series Test (Leibniz Test)  For the Alternating…

Q: Find the x-values where the following do not have derivatives.

A: A graph has not derivative when f is, Sharp‏‏‎ ‎corners‏‏‎ ‎or‏‏‎ ‎cusps:‏‏Vertical asymptote ‏‏‎…

Q: Topic 2 Evaluate S x dx, using u-substitution. Then find the integral using 1-x2 trigonometric…

A: Thank you,Please rate my response.

Q: Question 2 Let F be a solenoidal vector field, suppose V × F = (-8xy + 12z², −9x² + 4y² + 9z², 6y²),…

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Q: Solve y"+6y+10y= 0, y(0) = 4, y'(0) = 16 y(t) =

A: The given differential equation is a second order homogeneous linear differential equation with…

Q: Find the parametric equation for the line where the planes -4x+y+3x= -11 and -2x+y=3z = 7 intersect.

A: If you have any questions let me know in the comment box thankyou.

Q: Use the following graph of ƒ (x) to evaluate ƒ' (−1) and ƒ' (2). y +10+ 9 8 7 6 5 4 3 2 1- -10 -9 -8…

A: Step 1:

Q: 1. Show that the vector field F(x, y, z) = (2x sin ye³)ix² cos yj + (3xe³ +5)k satisfies the…

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Q: 1. Compute Lo F⚫dr, where and C is defined by F(x, y) = (x² + y)i + (y − x)j r(t) = (12t)i + (1 − 4t…

A: Step 1:Determine the numerical value of the given integral.∫C​F⋅drwhere,F(x,y)=(x2+y)i^+(y−x)j^​and…

Q: Q6. A fossil piece has been found in Alberta that contains 34% of C14 in it. What is the age of this…

A: Detailed explanation:Understanding radiocarbon datingIn archaeology and geology, radiocarbon dating…

Q: i need help please

A: Given the vector field𝐹=(−𝑥𝑦𝑧−𝑥−2𝑦,−4𝑥𝑦𝑧−4𝑦𝑧−4𝑦,−3𝑥𝑦𝑧+𝑥𝑦+4𝑧) and the parametric…

Q: Find this expression in frequency domain in a expression y(t), in time, that is.

A: Step 1:

Q: (b) Find the (instantaneous) rate of change of y at x = 5. In the previous part, we found the…

A: Step 3 :   Step 4:

Q: A body of mass m at the top of a 100 m high tower is thrown vertically upward with an initial…

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Q: This question builds on an earlier problem. The randomized numbers may have changed, but have your…

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Q: A cable television company estimates that with x thousand subscribers, its monthly revenue and cost…

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Q: x²-19x+90 Let f(x) = . Complete parts (a) through (c) below. x-a a. For what values of a, if any,…

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Q: Calculate the limit lim X-a x-a 5 using the following factorization formula where n is a positive…

A: Step 1: solution  Step 2: Step 3: Step 4:

Q: the correct answer is Ccould you please show me how to do it using the residue theorem

A: Step 1: Step 2: Step 3: Step 4:

Q: There is exactly number a and one number b such that the vector field F = conservative. For those…

A: Stepwise solution to determine the values of a and b for the vector field F = (3ay + z, 3ayz + 3x,…

Q: 2. Consider the following: Prove that x, x2, and 1/x are the solutions to the homogeneous equation…

A: We are given the differential equation:x3y′′′+x2y′′+2xy′+2y=2x4 (a) Verifying that x, x2 and 1/x are…

Q: Find the largest interval centered about x = 0 for which the given initial value problem has a…

A: Step 1: Step 2:

Q: g Ske Find the area of the region bounded by the parabola x = 2y- y² + 1 and the line y = x + 1

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: For the system consisting of the lines: and 71 = (-8,5,6) + t(4, −5,3) 72 = (0, −24,9) + u(−1, 6,…

A: Step 1: a) Parallel Check The direction vectors of the lines are:Line 1: d1​=(4,−5,3)Line 2:…

Q: Evaluate the following limit. lim X-X (10+19) Select the correct answer below and, if necessary,…

A: Therefore, the correct answer remains: limx→∞​(10+x210​)=10 So, the correct choice is still A, and…

Q: 7. What are all values of 0, for 0≤0<2л, where 2 sin² 0=-sin? - 5π 6 π (A) 0, л, and 6 7π (B) 0,л,…

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Q: Let f be a function whose graph consists of 5 line segments and a semicircle as shown in the figure…

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Q: 2. Answer the following questions. (A) [50%] Given the vector field F(x, y, z) = (x²y, e", yz²),…

A: Step 1:A. A vector field F is given such that we have to verify the differential identity given…

Q: Do the Laplace Transformation and give the answer in Partial Fractions. Also do the Inverted Laplace…

A: We will solve the given differential equation using the **Laplace Transform** method and find the…

Q: Is the function f(x) continuous at x = 1? (x) 7 6 5 4 3 2 1 0 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3…

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Q: Find the general solution to the differential equation

A: The general solution is 61​(2y2+1)23​=xex−ex+C

Q: Examples: Solve the following differential equation using Laplace transform (e) ty"-ty+y=0 with y(0)…

A: Approach to solving the question:let's solve the differential equation using the Laplace transform.…

Q: How to find the radius of convergence for the series in the image below? I'm stuck on how to isolate…

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Q: (a) Sketch the graph of a function that is not continuous at 1, but is defined at 1. (b) Sketch the…

A: Step 1: Identify which of the following graphs shows a function that is not continuous at 1, but is…

Q: use components when solving

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Q: "Use the Opposite Method to solve the following differential equation:" 4'"""" + 34" + 34 + 4 = x

A: Step 1:  Step 2: Also it can be solved by Method of undetermined coefficient. Step 3: Step 4:

Q: Find the indefinite integral. (Use C for the constant of integration.) 9x arcsin(x) dx

A: Step 1:Step 2:Step 3: Step 4:

Q: Differentiate the following functions. (a) y(x) = x³+6x² -3x+1 (b) f(x)=5x-3x (c) h(x) = sin(2x2)

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Q: Find the volume of the parallelepiped determined by the vectors a = (3, 5, −1), ☎ = (0, 3, 1), c =…

A: Thevolumeoftheparallelepipeddeterminedbythevectorsa,b,cisgivenbytheabsolutevalueofthescalartriplepro…

Q: 2. Let f(x) = 2x² + 6. Find and completely simplify the rate of change on the interval [3,3+h]. (5…

A: We find the rate of change of f(x) = 2x2 + 6 on the interval [3, 3 + h] by using the formula for the…

Q: Find area of sector for number 14

A: 14.  Asector​=21​r2θr=7.1 cm; θ=5π/3 Asector​=21​(7.1cm)2(35π​)Asector​=131.9730714cm2

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by x…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Evaluate the integral using integration by parts. Stan (13y)dy

A: We evaluate the integral  I=∫tan−1(13y)dyusing integration by parts by using the…

Q: Solve the problem

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Q: question 8

A: We have to find the centroid (xˉ,yˉ​) of the region R bounded byy=x3,x+y=30,y=0The centroid of a…

Q: helppp

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Q: can you solve this and explain the steps used along the way

A: Step 1: Simplify the integrand The integrand can be rewritten using exponents: 1/(41+x​)=(1+x)−1/4…

Q: The answer for number 1 is D Could you show me why

A: We need to compute the outward flux of the vector field:F(x,y,z)=(y−z2+2x3−z+x2+2y3,x−y2+2z3) over…