Which series helps us to derive the discretized form of the governing equations? a. Taylor series b. Infinite series c. Fourier series O d. Exponential series O e. None of these

Q: A construction worker pulls a five-meter plank up the side of a building under construction by means…

A: Explained below

Q: Use the substitution method to find all solutions of the system of equations. S2x + y = 5 x + 2y = 1

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Q: Find the volume of the solid obtained by rotating the region enclosed by the graphs x = y and x =…

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Q: dx Let g(t) = | 4t

A: Given :g(t)=∫4tt4ex2dxFormula :ddx∫g(x)h(x)f(t)dt=f(h(x))h'(x)-f(g(x))g'(x)

Q: 6. Use the definition of the definite integral to evaluate (x - 4) dx. in f(x)dx = lim f(x AX A→0…

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Q: Find the equation of the tangent line for f (x) = 2 sec(z) at z = 6

A: To find out the equation of tangent line.

Q: Determine the largest interval (a,b) for which the existence of a unique solution using Theorem 1 in…

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Q: Consider the function: (x^2)/(x^2-4) 1. Find the domain of f. (Using interval notation) 2. Find…

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Q: 02 - In simpson's 1/3rule the intervals must be c) non of them 12 31 a) even b) odd The eigin value…

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost the…

Q: Find solutions of the following equations by the method of separation of variables: 4. 2+= 0 at xe,…

A: 5.

Q: f(x) (Simplify your answer.) dx 2 Ix 1

A:

Q: Given r = e-, find the following. A Determine the derivative in terms of 0. Show each step and…

A: First we find dy/dx

Q: Evaluate the following integral. 3T s²x dx CoS Rewrite the second of the two integrals found above…

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Q: Let f(t) be the weight (in grams) of a solid sitting in a beaker of water. Suppose that the solid…

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Q: 2 4 - 8 Q - The determents|A| of matrix A =-1 - 3 6 is 7 - 2 c) -20 5 d) none of them a) -24 b)-32

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Q: a/3 Find the value of cos(3x) dx.

A:

Q: For the given points A, B, and C find the area of the triangle with vertices A, B, and C. A(4,7,2),…

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Q: The graph of the velocity (in km/h) of a car that is accelerating is shown in the figure, where t is…

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Q: Find the slope of the tangent line to the curve – 2x? + 4xy + y³ = 8 at the point (4, 2).

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Q: Food and clothing are shipped to victims of a natural disaster. Each carton of food will feed 13…

A: Let, x be the number of food cartoons and y be the number of clothing cartoons. Then maximize…

Q: Evaluate the integral. xp S

A: Given,  ∫ x4x5+4dx

Q: Find the minimum and maximum of the function y = z - 12005z on [-8, 8] by comparing values at the…

A:

Q: f(x) = cos(x) g(x) = x' + 1 Find f(g(x)) and g(f(x)). (Use symbolic notation and fractions where…

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Q: derivatives

A: We will solve the 2 problems.

Q: ermine the intervals on which the graph of y = f(x) is concave up or concave down, and find the…

A: Given query is to find the infection point and interval of concave up and down.

Q: Show your solutions for each of the questions in the following. Evaluate each indefinite integral.…

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Q: 3) Verify that the hypotheses of Rolle's Theorem are satisfied on the given interval, and find all…

A: Solve the following

Q: Given the graph as below: ea Write the adiacency matriv for the granh (i)

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Q: The curve x + y = 3xy was first discussed in 1638 by the French philosopher-mathematician René…

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Q: 17. Find the interval of convergence for E(-1)"-1÷) x'

A: To find the interval of convergence.

Q: 9) A closed cylindrical can is to hold 1000 cubic centimeters of liquid. How should we choose the…

A:

Q: Use symmetry to evaluate the following integral. | (6- |x)) dx - 1

A: The given integral,     ∫-116-xdx

Q: 18. Find a geometric power series for f (x) 3 centered about x = 2. Write the first four terms. 7-2x

A: Let's find.

Q: 135 5. y = x³, y = x + 6, and 2y + 2 = 0 (Answer: S. u.) 4

A: The region bounded by the curves y=x3, y=x+6 & 2y+2=0 is:

Q: 70t 60- 50 40 30- 20 10 -10 10 20 30 40 50 60 Taylor is a lifeguard and spots a drowning child 60…

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Q: y(x) = (Simplify your answer. Do not factor.)

A:

Q: Find the slope of the graph of the function y = 2x at (2,2) Then find an equation of the line…

A: We need to find slope and equation of tangent line.

Q: Find the limit. Use l'Hospital's Rule wh lim (In(x))2 X 00 5x

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Q: 1 Determine by the direct comparison test if Ln=1 2n+1 converges or diverges .

A: We have to find convergence test

Q: A rectangle is constructed with its base on the diameter of a semicircle with radius 16 and with its…

A: A rectangle is constructed with its base on the diameter of a semicircle with radius 16 and with its…

Q: A surface S has a parametrization Þ(u, v), whose domain D is the square shown in the figure. Suppose…

A: We need to estimate integral.

Q: Consider the function f(t) = 3 and real number a = - 4. y= fn a. Find and graph the area function…

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Q: e* +cosx+sin.x– 2 3. lim xsin' x

A: As per our guidelines, we are supposed to answer?️ only one question. Kindly repost other questions…

Q: Find the slope of the tangent line to the curve 4x + lay- ly = 88 at the point (3, - 4).

A:

Q: 8. Find the dimensions of the largest-volume cylinder that can be inscribed in a sphere of radius 10…

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Q: Find the explicit formula of an arithmetic sequence with the given pr d = 12, and a6 = 68 %3D %3D

A: Topic:- sequence and series

Q: Find all critical points of f(x) = 1 + 8x – x² and use the First Derivative Test to determine…

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Q: onvert (-1, v3

A: Given point (-1, 3)

Q: Find the area of the parallelogram that has two adjacent sides u = -2i + 4k and v =i +2] +k Axn pu…

A: We will find the cross product and area.

Q: Evaluate following 長屋

A: The given integral,     ddx∫2x32sint-7ln10tdt