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A: Explanation of the answer is as follows
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A: Let's find.
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A: We have to find the area between the parabola y=x2-1 and the line y=x+5 .
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A: We know that the average or mean slope of the function f(x) on the interval a, b = f(b)-f(a)b-a
Q: I need some help with this question. Thank you :)
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Q: Find u v, u u, ||v||, (u v)v, and u (3v). u = (3, 11), v = = (-4, 3) %3D (a) u. v (b) (c) ||v||2 (d)…
A: Given: u=3, 11, v=-4, 3
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A: Solution is given below:
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Q: Consider the series (z – 9)6, (z - 9)8 E4. = (2 - 0)2 + (- 9)“ E, = (z - 9) + +... 3- 2! 9.3! 27- 4!…
A: This question can be solved using the concept of general term of series.
Q: 0/ifit was FCかy)2165(6w)30 2 -36 y? cos (6XY) .3 =36 Y'cos (6X4) -36 y'cos (6xY) 2. = 36 y'cos (6XY)
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A: This is a problem related to derivation. Please follow the procedure given below for solution.
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A: Given: ∫e2x1-exdx substitute u=1-ex→dudx=-ex→dx=-exdu use e2x=1-u2 =∫u-1udu Expand:…
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A: Let's find.
Q: a) Find the fifth term of the sequence 16 31 46 61 9' 15' 21' 27 b) Find the general term of the…
A: a)169,3115,4621,6127,....b)1010,1815,2620,3425,....
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A: This question can be solved using the concept of length of arc of curve in parametric form.
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A: Since you have asked multiple questions in a single request we would be answering only the first…
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A: This question can be solved using the concept of integration by substitution.
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Q: Eliminate the constant 'a' from the equation. (x – a)² + y? = a² O (x? – 2y)dx + 2xydy = 0 (x² – y²…
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Q: x² sinh x dx
A: Let's find.
Q: Show that the following function is not continuous at (0,0). { 3 x2+y6, 0, , if (x, y) # (0,0); if…
A: The given function is continuous.
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Q: Find T(t) and N(t) at the given point. r(t) = = 8 cos(t)i + 8 sin(t)j; t 3 T 3 N(5) = 3
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Q: Find the direction cosines and angles of u and show that cos a + cos B + cos? y = 1. (Round your…
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Q: Compute the first four partial sums S1, .., S4 for the series having n th term an starting with n =1…
A: In this question we have to find partial sum.
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A: Find your answer below
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Q: Use the formula k(t) ||F(t) × r"(t)|| to find k(t). ||r(t)||° r(t) = 11 cos(t)i+11 sin(t)j+6tk K(t)…
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Q: dx xV2ax – x2 ах
A: This is a problem of integration. Based on the general formula we will solve the question.
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Q: dz (b) Determine the by using the Chain rule with the following information: ds 2 X = - s2 2 7 z =…
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Q: Consider the function f(x) = 2x - 9x – 60x + 10 on the interval [- 4, 9]. Find the average or mean…
A: Use the formula for the average value and concept of mean value theoram.
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