Find the length of the curve. x = 3 cos t, y = 3 sin t, 0 st sm О 9л Ол бл О Зл

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A: To find the higher derivative of y(x).

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A: Given

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A: Given: The plane passes through Ma, b, c. To find: We have to find the equation of a plane that…

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A: given  f(x)=-x3-4x2-1,  at x=-1

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A: F=<3exsin(y), 5eysin(z),4ezsin(x)>

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A: Given integral ∫01x2( 5x3 - 1 )4dx

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A: given,  q(x)=-x+1given,  r(x)=2x2+1

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A: f(x)=4ln(5+x)

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A: area of cardboard=A×B=143 in2height of the box, h=2 in

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A: To find the following indefinite integral.  To check the answer by differentiation. ∫6x7-x dx

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A: Let x be number of wreathsLet y be number of trees Let z be number of sleighs

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A: Consider the function  f(x)=8x+6               on the interval [2,6]

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A: given system of equation can be expressed can be represented in matrix form as AX = B where…

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A: Note:- Since you asked multiple subparts , according to our policy we can solve first three subparts…

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A: Terms of Geometric sequence,

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A: a=56,b=67,∠A=57° Figure

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Q: 7) Find the critical numbers of the following functions: (a) f(0) = 2 sin(0) + cos² 0, 0≤0 ≤ 2π (b)…

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Q: What is the integral that represents the length of the curve y = 1 =(2²+2) ³/2 from x = 0 to x = 1.…

A: Using formula for length of curve we find length of curve.

Q: 1) Find the domain of the vector-valued function r(t) = (3t+1,6,ln(9-t)).

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A: Use the given transformation x=5u-2v and y=-5u+v to find the given prallallograme integration value.…

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Q: 6) Find the absolute maximum and absolute minimum values of fon the given interval. (Round all…

A: fx=x16-x2 ; x∈-1,4

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A: The given differential equation is:3x2+10ydydx=0

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Q: (6) Given the function f(x) (4) (-2) = = 1 x +3 and g(x) = x², find: (fog)(x) = (gog)(x) =

A: Given f(x)=1x+3  and g(x)=x2, we need to find:

Q: Find derivative of f(x Onone of these (6x²-x)/(2x³ -x) (2x³ -x)/(6x²-1) O (6x² -1)/(2x³ -x)

A: we shall use thatddxlnx=1x and ddxf(g(x))=f'(g(x))*g'(x)

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Q: Suppose you drop a ball from a window 45 meters above the ground. The ball bounces to 65% of its…

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