=f and g are continuous on [a,b], then [*[f(x) + g(x)]dx = f(x) [ √° g(x) f(x)dx+ Sº g(x)dx (A) True (B) False

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A:

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A: Given, x2+ 4x+2, [-3,0]

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A: We have to solve the integral

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A: Given :∫dxx49-x2

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A:

Q: Q1:Discussion a continuity of the function f(x,y) sin x (x, y) = (0,0) f(x, y) = x (x, y) = (0,0)…

A: To find whether given function is continuous at (0,0) or not.

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A:

Q: 3. The angle between vectors A = 91-j+5k and B=(-2,7,1) is... ***** 16- 12 4. 2) shor mis

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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A: Negative sign of the velocity is due to the downward movement of the body.

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A: Answers provided by you have mistakes only (c) and(d) matches.

Q: B. Find the general solution of the following 2nd order differential equation: y +2y + 2y = 0

A: To find the general solution of the following 2nd order differential equation.y''+2y'+2y=0

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A: Topic = Derivative

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A:

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A: Here we need to find out the domain of the given function.

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A:

Q: Question A.) Does this CONVERGE or DIVERGE? er 2 (lan) ² W nal

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A:

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A: Topic = Geometry

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A: According to our terms and conditions,we can only solve one problem at a time. So please repost the…

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A:

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A:

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A:

Q: Find the determinant of the matrix, O22-122-13 O22-12A +13 O²+12+13 02-13 2-11 4 6 2-1

A: Topic = Determinant

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A: We can solve this as follows:

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A: We want to check the continuity of the function at (0,0)

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A: Solution…

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Q: e dy dx У-х+1 У-х +5

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Q: 2 a do (x + 2)²0 Using Simpson's method proper rounding off, no spaces) -dx for n=4 is equal to…

A:

Q: - nsider the function f(x) = 2x³ + 3x² – 36x - 54. a. Find the first derivative. f'(x) = b. List any…

A: Topic:- calculus Note :- as per our guideline if more than three subparts posted than only first…

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A:

Q: Find the area bounded by y=-x²+1, y = − 2x + 2, x=-2, and y=2. (A) 5 B) 16/3 C) 1/3 (D) None of…

A: We can find the area as below.

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A: Here we have to arrange the option.

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Q: dx 20.5 x√4x²-49

A:

Q: 3: Fill in the blanks in the following: 1 3. 4. If = (-12, 4, 8) the position vector of u…

A: Topic:-  vector algebra