N h(x) = -0.8(x + 5)+39.9482 i(x) = 2-0.8(x-43.79)

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A: We need to find a-b.

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A: We need to evaluate the following integral I = ∫x3x4-833dx                         ..........1…

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A: This question can be solved using the concept of area under curve.

Q: Test for conditionally converge, Absolutely converge, or diverge of the series Inn E2(-1)".

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A: We have to find maclaurian series

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A: We can solve as follows

Q: dx 2. o (x-1) 5

A:

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A: To answer the given question of logarithms.

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Q: Find the area of the region bounded by the graphs of the equations. Use a graphing utility to verify…

A: Here, the area bounded by the curves y=4+x, y=0, x=0, x=16 is given by: A=∫016∫04+xdy dx

Q: pls help me out thanks integral

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Q: 6. Evaluate the indefinite integral as an infinite series. (b) / sin z (a) / r cos(r)dr

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Q: 0 1 2. (x + y + 1)dxdy -1 -1

A: Integral

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A: Given query is to find indicated limit.

Q: Solve the problem. A conitant force F 10+ 30J. moves an object from the point P= (6, 4) to the point…

A: Given  F=16i+30j             P=(6,4) & Q=(3,18) To find work-done:

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Q: 10 8 10 f (x) dr=17 and f (x) dr = 12, then f (x) dx=5. A True B False

A: we use the properties of definite integral

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A: Given problem:-

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Q: Find the divergence of the vector field F. F(x, y) = 8xe*i – 7x²y²j |

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Q: 10 8. 10 If f (x) dr= 17 and/ f(x) dx= 12, then f(x) dr=5 A) True Ealce

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Q: 4 sin 3xcar" 3xdx

A:

Q: farctan(6y) dy: Consider the integral 1+ 36y2 This can be transformed into a basic integral by…

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Q: 1. A navigator wishes an aircraft to fly W22°N with a groundspeed of 300km/h. There is a 60km/h wind…

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Q: VI 23) Consider the region in the second quadrant between the ciréies X²+y?=4ard x?7y==25 ?-25, and…

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Q: 1. Given ā = 31 -9j and 5 =-6i +j compute each of the following. (a) 105 (b) 14ã + 205 (c) 85- 2.…

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Q: Solve the following IVP: X' = AX + f(t), where 4- (; 7) 5 -3 1 1 and () 4 X(0) 2 f(t) = -3et e3t

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Q: 2 Find the cartesiun equation for the polar Carre rこlcos . Al(x-2)²+y2=4 ty²-4 %3D c)x²+ Cy-2)?=4 D)…

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A: Here, let the given function be: f(x)=x2+ex-9⇒f'(x)=2x+ex Next,…

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Q: 21 13 f(x)dx – f(x)dr f(x)dx where a = and b

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Q: Problem 3.4 Parameterize the following surface. Then, integrate the given function over the…

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Q: Question 15 The price per barrel of crude oil can be approximated by the function, P(t) = 0.45t? -…

A: We have to find the average rate of change of function.

Q: Determine the lowest positive root of f (x) = 8 sin(x)e–x − 1:        a.  Graphically.        b.…

A: The given function,     f(x)=8sin(x)e-x-1

Q: 3. If f(x) = [ v19 +r² dt , find f'(3).

A:

Q: Consider a triangle ABC like the one below. Suppose that b= 33, a=48, and B=26°. (The figure is not…

A: Sine Laws : asin A=bsin B=csin C

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A: