what is the basic concept of a limit? How is a limit calculated? What techniques/rules have you been taught such that you can evaluate the limit of a function? What does the limit tell you about a function?

Q: Solve the following LONG DIVISION 6x³5x249x equation by using + 60 = 0

A: To solve the equation by long division.

Q: 120 N. if the distance between th charges is doubled, the force will be; O 15 N O 30N 60 N O40N

A: We will solve the problem.

Q: Find the arclength of the curve y = (x² − 4)² on [2,4].

A: Given question is asking to find the length of the curve.

Q: 0 KIN TC TC 2 KIN 0 0 02 sin o dr do de

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Q: Integrate by substitution. 2 [x²(x³ +5) dx

A: Given query is to find the integral using substitution.

Q: on the set of rational numbers as a b = ab D. Com

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Q: Nx - My If = R, where R is a function depending only on the quantity z = xy, then the differential…

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Q: dy For the following composite function, find an inner function u = g(x) and an outer function y = f…

A: We need to find derivative.

Q: al

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Q: 5.) Find the volume of the solid in the first octant bounded by 2x + 3y + 4z = 12 and the coordinate…

A: Above question is solved.

Q: A particle moves along a straight line such that its displacement at any time (t) is given by…

A: Note: There is a typo in the question.  Incorrect:  S = t^3 - 6t^3 + 3t +4   Correct:  S = t^3 -…

Q: 7. What is the y-value in the solution to the system? A. -1 B. 5 C. 3 D. 2 8. Solve the system by…

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Q: An angle co-terminal to 19 6 11m 6 is

A: Given query is to find coterminal angle.

Q: 4 5 5 Let A = -1 -1 0 4 6 Use determinants to decide whether the matrix is invertible. Enter the…

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Q: If P(x) is some polynomial then ΣP(n)x" has radius of convergence 1. n=1 Select one: O True O False

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Q: ∞ 1. Σ =1 η 3η+1 η

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Q: Raggs, Ltd. a clothing firm, determines that in order to sell x suits, the price per suit must be p…

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Q: Solve for the value of “C” on the given differential equation below. Let y(1)=1 ( 1y – x2 )dx + xdy…

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Q: Describe and graph the regions in the first quadrant of the x1x2-plane determined by the given…

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Q: A curve is defined by the parametric equations Find the length of the curve from t=1 to the closest…

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Q: 2 dydx -23-1 (xy)³ SS.

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Q: solution = Give the ODE : general x" + 3x² - 4x of the following

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Q: 1. The graph of y=sin z is transformed so that the transformed image has a period of 4m and a phase…

A: Given problem:- The graph of y = sin x is transformed so that the transformed image has a period of…

Q: Q2: write and prove an Approximation property for the Supremum.

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Q: A rectangular field is to be enclosed with a fence. The available fencing material is 150 meters…

A: This is  a problem related to maxima and minima of the function. Based on the general formula and…

Q: iv) Sº³ §¾½5 √xª + 1 dxdy

A:

Q: 13. Algebraically determine the values of that satisfy the equation 2 cos²0+ cos 0-1=0, where 0…

A: First I have let x=costheta And then reduce the trigonometrical equation into algebraic equation and…

Q: Let f be a function continuous on R and F(x) = x O f'(0) Of(0) ○ 2ƒ(0) O 0 *f(t)dt. Then F''(0) is…

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Q: ππ 2 CAP• 0 0 0 ¢ sinr do dr dộ

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Q: The expression f(x+h)-f(x) h for h#0 is called the difference quotient. Find and simplify the…

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Q: f(x csc² 2x − x cos 2x)dx

A: Given problem:-  ∫(x csc2(2x) -x cos(2x)) dx

Q: Solve the integral shown below. JT fsins 2x cos7 2xdx

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Q: Thank You FRONTLINERS number of tickets for a fund-raising campaign that aims to help the Front…

A: Concept: To find the total number of tickets in all three weeks we have used the method of simple…

Q: f(x csc² 6x-x cos 6x)dx

A: Given,∫ (xcsc26x-xcos6x)dx

Q: Consider the following differential equation. (x + 1) + (x + 2)y = 8xe-x dx dy Find the coefficient…

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Q: Solve for y esec(4y²-6y+14) = 3x + 1

A: To find the value of y , first, we take the logarithm on both sides of the given equation and then…

Q: 4. The point (0.422,-0.907) lies at the intersection of the unit circle and the terminal arm of an…

A: As point is (0.422, -0.907), is lying on intersection of the unit circle and a terminal arm of θ,…

Q: Evaluate using Partial Fraction Decomposition: (- dx

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Q: 3 50 times داد + 33 u س اع

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Q: Prove that sin²x x cos²x = csc²a-cot²x 4c8c²2x

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Q: Making a suitable change of variable and modifying accordingly the limits of integration, calculate…

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Q: Solve the following integrals: 1. f-7e*dx 2. (2ex-6x) dx √(3¹) dx 3. 4. f 8x+1dx 5. f=dx X 6.…

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Q: 1. Given the function f(x)=2-4x+ +$. Please find the intervals of increase or decrease, absolute…

A: Given problem:-

Q: Find the modular residue of the product. 9,512,667 2,183,321 (mod 5) 9,512,667 2,183,321 (mod 5) =

A: Explanation of the answer is as follows

Q: 13. Given - 5x + 5z = a. (-5, 5, 2) 2, the normal of the plane is: b. (7, 7, 0) c. (-5, 0, 5) d.…

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Q: Calculate lim X10 3x²-x-2 5x² + 4x + 1

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Q: Explain why the calculation (axb). (ĉ. d) is not meaningful.

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Q: ve for y esec(4y²-6y+14) = 3x + 1

A: We have to solve for y of the given equation

Q: 3. Evaluate the indicated line integrals in the complex plane by direct integration. Siz dz along…

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Q: Which of the following is NOT an improper integral? 0 2x of ₁7² +²22-3²² dx + 2x - 3 2x x2 2 - 3x e…

A: which of the following is not an improper integral??