Direction: Prove using the three conditions of continuity if the following function is continuous or not on a given constant C. 1. f(x) = 3x-5x2 C = 2 %3D

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Q: Entertainment In a survey of 100 Enormous State University students, 22 enjoyed classical music, 20…

A: In a survey of 100 Enormous State University students, 22 enjoyed classical music, 20 enjoyed rock…

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A: Here, the given surface is: z=y-x Now, ∂z∂x=12y-x(-1)=-12y-x∂z∂y=12y-x(1)=12y-x Now, at (0,4,2):…

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Q: A. Evaluate the following integrals. dx 1. 5+x2

A: The objective is to evaluate the integral.

Q: If f(x, y) 3x+7y af then is given by: (3x–7y) 21y (За — 7у)? 21y (3x–7y)² - 42y (За — 7у)2 42y…

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A: Given query is to find the Indicated limit.

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A: Given g=tv, t=ln(m) and v=m6

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Q: Calculate the double integral of f(x, y) over the triangle in the figure below. f(x, y) = 8ex2 y 4 2…

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Q: Find the area under the curve f (t) = 3 − x2 + 5x from x = −2 to x = 4 .

A: Find the area under the curve f (t) = 3 − x2 + 5x from x = −2 to x = 4 .

Q: 5x dV, where E =    (x, y, z) | 0 ≤ y ≤ 2, 0 ≤ x ≤  sqrt4-y^2, 0 ≤ z ≤ 6y   evaluate triple…

A: Answer is 60

Q: 105% (28.7) Apply the Alternating Series Test to determine if COS NT converges. f the Al- n3/4 n=1…

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Q: Given that x and y are functions of time, find the indicated rate of change. dy when x 1, y=2, and…

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Q: Consider the following. t = − 4?/3 (a) Find the reference number t for the value of t. t =    (b)…

A: We have to find the reference no t and terminal point determined by t.

Q: 4 Find the limit lim 3 Enter I for oo, -I for -o, and DNE if the limit does not exist. Answer:

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Q: Find the derivative of the function. -x + 1 r(x) : = |(7x – 4)(x – 8) -

A: Given that a function r(x) and we find derivatives of r'(x) .   We know that d(xn)/dx= nxn-1.…

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Q: Let F be the function whose graph is shown below. Evaluate each of the following expressions. (If a…

A: A limit limx→a f(x) exists at x=a if limx→a+ f(x)=limx→a- f(x)=L and limx→a f(x)=L.

Q: ntify the u , ress the final answer in its simplest form without onents. Thank You! du and other…

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Q: Find the second-order partial derivatives of the function. Show that the mixed partial derivatives…

A: We need to find partial derivatives.

Q: fosc 4 2. csc* xdx

A: I =∫ cosec4x dxI =∫ cosec2x cosec2x dxI =∫ (cot2x+1) cosec2x dxcot x = t-cosec2x dx = dtcosec2x dx =…

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Q: Construct the following rational functions. a. Construct a rational function whose only asymptotes…

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Q: Find the angle in radians between the planes -2x + z = 1 and -ly+ z = 1.

A: See the answer below

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Q: Let a = (7, 10, 1) and b = (10, 3, 6) be vectors. Compute the cross product %3D ахЬ.

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Q: ng integrals. 25

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Q: Use Theorem 9.11 to determine the convergence or divergence of the p-series. 1 1 1 + 3/ + + .... 4…

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Q: t2 1- y? dy 6. dt dy ap 2ty? + 3t²y², y(1) = –1 5. r(0) = -2 y(0) = -2 7. dt dt

A: To find the solution of the given initial value problems.

Q: A. Evaluate the following integrals. dx 1. 5+x² dx V4-9x² dx x V16x2-25 dx 4. x2+4x+13 2. 3.

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Q: i 1 2 3 4 0.25 0.5 0.75 1 f (x) | 0.000|| 0.060 | 0.172 | 0.159 | 0.050 (a) Sketch the area…

A: Let's find.

Q: and fyx are equal. fxY ух Find the second-order partial derivatives of the function. Show that the…

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