Express the limit as a definite integral on the given interval. n x;* lim -ΔΧ, [1, 7] n→∞ dx i=1 (x;* ) ² + 5

Q: Question 15 The cost, in dollars, to produce a designer dog leashes is C(z) - 8x + 9, and the…

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Q: Consider the following function. f(x) = (8 - x)(x + 1)² (a) Find the critical numbers of f. (Enter…

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Q: Find the arc length L of the graph of r(t). r(t) = t3 i+t L= i j+126t2 k, 3≤t≤6

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Q: Solve the following equations: a) y√(1-x²)dy + x√√(1- y²)dx=0 dy x(2 ln x+2) b) = dx sin y+y cos y y…

A: To integrate.

Q: nd the area between y = 8 sin x and y = = = 10 cos x over the interval

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Q: Find the area between the loops of the limacon r = Area = 5(1 + 2 cos 0).

A: We have to find the area between the loops.

Q: Find the limit. lim (t i 7 j + t² k) t→5 lim (t i − 7 j + t² k) = i Exact number, no tolerance. i+ i…

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Q: Find the indefinite integral. (Use c for the constant of integration.) [(48³1 + (4t³i + 14tj -…

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Q: r(t) = cos(at)i ln(t)j + √t − 4k; to = 5 2 ms of i, j, and k. Domain is: (, ) NOTE: Enter r(5) ||…

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Q: Activity 2.2 For the given function sketch the graph; determine if f is continuous at xo and…

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. 11 ["||ti + 1²i||dt = |

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Q: Find all solutions to the equation. 4 cos 0 = -sin²0+4 Write your answer in radians in terms of ,…

A: cos2 θ +sin2 θ =1 Cosine function takes value in between -1 and 1.

Q: 2. Evaluate the following (Express all answer in Rectangular Form): d. √9+ 2i e. 2¹ + ln(2 + i)

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Q: Evaluate the limits of the following. State the theorem(s) used. x²³ +8 lim x+2 x+2

A: We can solve this as follows:

Q: Applying the First Derivative Test In Exercises 29-36, (a) find the critical numbers of the function…

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A: In multiple parts question we are advised to answer only first three sub parts .

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Q: ind the absolute extrema if they exist, as well as all values of x where they occur, for the…

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Q: Find the indefinite integral. (Use c for the constant of integration.) [ (41³1 (4t³i + 14tj - 6√tk)…

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Q: 2. Find the indefinite integral (Scos(4x) + √x dx

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Q: Find the exact length of the curve. X = v 3 y (y - 3), 16 ≤ y ≤ 25

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A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

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Q: Find the exact length of the curve. X x=√y (y - 3), 16 ≤ y ≤ 25

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Q: r(t) = 2ti - 2tj + 시 6 t³k

A: Given :

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Q: Find the equation of the tangent line to the graph of f(x) = 9 sin(x) + 4 cos(x) at x = in in the…

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Q: ind r'(t), r"(t), r'(t) r"(t), and r'(t) x r"(t). r(t) = 2t²i - 2tj + 5t³k (a) r'(t) (b) r"(t) (c)…

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Q: Find the arc length L of the graph of r(t). L = r(t) = 11 cos(t)i + 11 sin(t)j + tk, 0≤t≤ 2π

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Q: Question 7 Given the function f(x) = 8 +5x², calculate the following values: f(a)= f(a+h)- =…

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