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Q: The graph of f(x) is shown (see figure). -7 (a) Find the following limits. L = lim f(x) = 2 Klim…

A: Concept: Limit of the function: Assume the function f(x). x should have values that are close to the…

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Q: 3 Compute the rotated area bounded by x = y, x = 8 and x-axis about y-axis

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A: Arc length of y=f(x) on a, b is  L=∫ab1+f'x2dx We have f(x)=lncosx given interval π9,π5

Q: 2 94

A: according to question function is f(x)=x+4 x=1,2,3,4 f(1)=1+4=5 f(2)=2+4=6 f(3)=3+4=7

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A: Given vector function r(t)=8+t, -9-t, 2+2t

Q: 7 Write a limit using summations that would equal S Answer: lim N→∞ n k=1 [x³ - 4] dx. Submi

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Q: Find the average value of the function over the given interval. (Round your answer to three decimal…

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Q: 1. Evaluate. a) lim x--2 ³-2x² +12 x² +1 x² -8x+7 b) lim x-7 2. What is the average rate of change…

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Q: 4. Consider the function f(x) and its derivatives below: f(x)=2x²-11 Horizontal asymptote(s) f'(x)=…

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Q: tan (2x + 3). Find the differential dy when x = 3 and dx Let y = Find the differential dy when 3 and…

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Q: 2. Given the vectors à = (a₁, a₂, a3) and b=(b₁,b₂, b3) show that a × b = -b xã.

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Q: Can this also be solved using the mean value theorem? Thanks!

A: Given.

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Q: 23 -x³ Submit Question Find all local extreme values of f(x) The FIRST local extreme value, moving…

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Q: Let f(x) lim I→ 6+ if x = Calculate the following limits. Enter "DNE" if the limit does not exist.…

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Q: Which of the following is a possible equation for the following trigonometric function?

A: To find which of the given equation is possible equation for the trigonometric function.

Q: (iv). limit x-0 ²-1 - x - x ²³/₂2 - x² - x ²%/ e 6 x4

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Q: limr→(1 − )tan =N x

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Q: Differentiate the following function. You do not need to simplify the derivative. F(x) = 4e²² F'(x)…

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Q: 2. 3. (32²+7)dx=(2,₁¹²₁ )dy = 0 4) 1 xe²x dx + (5-1)dy = 0, y(0) = 0 1

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Q: Calculate: fx²e³dx

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Q: A manufacturer can produce 3510 cell phones when x dollars is spent on labor and y dollars is spent…

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Q: 6) Line y=x between x = 0 and x = 1 is rotating around the x - axis. (It forms a cone). Calculate a)…

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Q: For the following equation, find Answer: dy da || y = -4x5 8x³ + x² +9x

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Q: ∞ 1.00 8e- dx = (If the integral diverges to ∞ or -∞, type oo or -oo; if the integral diverges in…

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Q: Find the tangential and normal components of acceleration. r(t) = (cos(4t), sin(4t), 3) ат an = II

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Q: -10 -5 f(x) 10 10 5 10

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Q: Proceed to What I Know Chart for this part. 4) Activity 5: Check for Understanding (10 mins) ad of…

A: To verify if y=e-3x is a solution of given differential equation or not.

Q: Find the indefinite integral and check your result by differentiation. (Use C for the constant of…

A: To give the solution with proper explanation for the given problem. To find the indefinite integral…

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Q: Sketch the region enclosed by y = 7x and y = 9x². Find the area of the region.

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Q: 1. Use the Mean Value theorem to show that for any two real numbers a and b, we have | sin b - sin a…

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