Find the slope of the line tangent to the curve y =x-2x+ 1 at x 1 01 O 1/2 O 1/3 O 1/4

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A: Recall; Let ai+bj be the vector, Direction of the vector is θ=tan-1ba We have, a=2, b=-2

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A: Given :

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A: We have to find out A

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A: For determining the continuity of a function from its graph , we need to examine whether the graph…

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A: this is converegent so the sum S = 1/(1-8) S = -1/7 S = -0.1429

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A: Recall:The velocity is given by      v =r' ur +(rθ') uθandThe accerleration is given by     a…

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A: topic- differentiation

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A: Topic:- application of derivatives

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A: As per guidelines, I can answer only one question. Since you have asked for multiple, So I did first…

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A: Find the given limit

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A: ∫un du =un+1n+1+C

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A: Given query is to find the integration.

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A: Given query is to find the Indicated limit form the graph.

Q: 3

A: We will find the limit.

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A: dy/dx = (y-1)/(x+3) dy/(y-1) = dx/(x+3) ln(y-1) = ln(x+3) + lnc here we find c using initial value x…

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A: The average value of f(x) in the interval a,b is given by, 1(b-a)∫abf(x)dx

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Q: Problem 2 Let f(x) = and g(x) = /3x +2. (a) Find the domain of y = f(x). (b) Find the domain of y =…

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A: To find out that the given differential equations are homogeneous or not.  According to company…

Q: FIND THE DIVERGENCE AND CURL OF U = i (x 2+ yz)+j Cy?+Zx) t K (z?+xy] %3D

A: Given :u=i x2+yz+jy2+zx+kz2+xy.We need to find the divergence and curl of u.

Q: Find the velocity and acceleration vectors in terms of u, and ue en r=6 sin t and 0= 9t

A: The velocity is given by            v = r' ur +rθ' uθandThe accerleration is given by        a =r"-r…

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Q: Write a in the form a = a-T+a,N at the given value of t without finding T and N. )3 (7 e*cos t)i+ (7…

A: Given that;                      a(0)  = atT + anN     Let's   Find  the value of at and an.