Use the formula z = ['(t) x r²(c)]. r²(c), Ir'(t) x r"(t)1² r(t) = 9t, to find the torsion of the following curve at a general point.

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A: To find: limx→42x2+2x-3

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A: Solution:

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A: Given: radius of the cylinder, r=t+9height of the cylinder, h=19t

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Q: 1 4. f(x)=- (5x²+4) 5.f(x)=√√3x² +6x+2

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Q: 4. Given the function y = 2x³ - 4x² + 5, find its derivative.

A: Differentiate with respect to x

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Q: A. Find the determonant of the matrix A 2 1 -21 -1 -2 -1 4 3 132 2 1 1 2 2-31 ܝܪ ܠܕ ܬ ܨܐ 1

A: To find the determinant of the matrix A=121-2-1-2-142132-212-3.

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A: Solution is here

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Q: if f functions is bounded on [a,b] does f has an absolute maximum and absolute minimum or not??

A: if f functions is bounded on [a,b] does f has an absolute maximum and absolute minimum or not??

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A: Given problem:- Given cost and price (demand) functions C(q) = 100q+43,000 and p(q) = - 1.9q + 880…

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Q: Suppose you start with one liter of vinegar and repeatedly remove 0.13 L, replace with water, mix,…

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Q: f(x,y) = x² + 6xy − 3y² + 2x - 2y + 1433, g(x, y) = sin(x²y + 2x - 5),

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Q: Evaluate the integral. x² - 81 | V=² x x² - 81 | Vx² x √x². 81 X √x². 81 X x² - 81 X 1² 1² - dx = -…

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Q: Suppose you start with one liter of vinegar and repeatedly remove 0.13 L, replace with water, mix,…

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Q: Make the u-substitution 2 sin x = 2u 1+u²⁹ COS X = 1-u² 1+ u² and dx = du 1+u² to convert the…

A: To evaluate the given integral.

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Q: Find absolute extreme values for (2) g(t) = √t 1+12¹ x € [0,2]

A: Given: Function  gt=t1+t2, 0≤ t≤2To find: Extreme points gt=t1+t2, 0≤ t≤2

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Q: Find the solution of the given initial value problem. y’’+4y=0,     y(0)=0, y’(0)=1 topic: complex…

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