Use the Table of Integrals to evaluate the integral. x² V 4x² - 27

Q: Cadmium, a heavy metal, is toxic to animals. (The chemical abbreviation fo rooms, however, are able…

A: Given data: X 0.24 0.59 0.62 0.16 0.77 1.33 0.92 0.19 0.33 0.25 0.59 0.32…

Q: Consider the following series. 2 n² + 4n +3 (a) Determine whether the series is convergent or…

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A: Calculating the returns for each of the portfolios: Year A B Return A Return B 2011…

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A: Given series is

Q: Find an integer a such that a 400 = 1(mod 3911).

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Q: x² – 10x – 5 dx |x- 1)-(x² + 1)

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A: See the Excel output

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A: Given: a) r = 7 b) θ =π2 c) z = 2

Q: Consider the following function. f (x) = ln(1 + 2r),a=3,n= 3, 2.6 < 1< 3.4 (a) Approximate f by a…

A: (a) Let’s make a value of some derivatives of f.

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A: Given the tetrahedron is boubed by the coordinate planes x=0,y=0,z=0,and the plane x+2y+3z=6, the…

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A: NOTE: Since we only answer up to 3 subparts , we will answer the first 3. Please resubmit the…

Q: 2. Sketch two complete cycles of the sinusoidal function described in the scenario. The temperature…

A: Given: The temperature of a liquid varies sinusoidally as it heated and then cooled repeatedly. The…

Q: 100 nd a number between 0 and 12 that is congruent to 2"modulo 13. Show your work.

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Q: 2. It is the set of possible outcomes in every experiment. A. Probability B. Space 3. It is an event…

A: 2.Correct option (c)

Q: Refer to image

A: Solution

Q: Find and classify the critical points of f(x, y) = (y – 2)x² – y². Justify your answers.

A: We use second order partial derivative test to find out maximum, minimum and saddle point

Q: Show that if n is a positive integer, then n is even if and only if 7n + 4 is even.

A: Given: Show that if n is a positive integer, then n is even if and only if 7n + 4 is even

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A: We need to find the arc length of any one of the 8 petals from θ1 to θ2 L=∫θ1θ2r2+drdθ2dθ Where…

Q: 2. Find the following definite and indefinite integrals. Use Substitution when needed a) f…

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Q: Prove that gcd(a + b, a - b) = gcd(2a, a – b) = gcd(a + b, 2b). Show your work! Justify each step.

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Q: Let A and B be sets. The union of A and B is A U B = {x|x E A V x € B}. The intersection of A and 3…

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Q: 2x + 3y Find -dA, where R is the parallelogram enclosed by the lines 4x – 4y -- 2x + 3y = 0, 2x + 3y…

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Q: number/s to make the statement correct. 9. Probability is only our guide. It does not tell us…

A: Given few conceptual questions on basic probabilities .

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Q: Consider the function f(x,y) = y² + 2xy. a. Find the directional derivative of f at the point (2,…

A: using formula for directional derivative