Let y = 4x 5r- 160 sin IE 0, 27. Then the z coordinates of the Inflection point(s) of this function Is (are) Select one: a. b. T с. 2т d. 4

Q: H.W: Use the Trapezoidal Rule with n=6 to approximate. Here f(x}=sin2x,a=0,b=x.

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Q: Q5: Find d for the following functions: dx (1) In(x - y) = xy + y³ ; (2) y = tan³ √cot(7x) ;

A: We can solve the answers as below by finding the derivatives.

Q: Q1:/Verify that the given function is harmonic and find it is harmonic conjugates so that f(z) = u +…

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Q: Let y = (sin x + cos x)e, x E (0, 27]. Then the x coordinates of the inflection point(s) of || this…

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A: Given problem Given that

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Q: dy Find of the following functions. dr (a) y = sec(4r?) (b)y = sin4x + cos7x (c) y = cot (v4– 2²)

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Q: Q1:/Verify that the given function is harmonic and find it is harmonic conjugates so that f(z) = u +…

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Q: Evaluate [P r(t) = (t, sin(t), cos(t)), 0 ≤ t ≤ F. dr where F = (4z, - 3y, 2x), and C is given by

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Q: Evaluate F. dr along the curve C if F(x, y) = (x² + y²)¯³ (xi+yj), с and C: r(t) = et sin ti + et…

A: F.dr is integrated along the curve C.

Q: Evaluate | F • dr where F (0, y, – 4x), and C' is given by - F(t) = (t, sin(t), cos(t)), 0 <t<

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Q: Evaluate F. dr where F = (4z, – 2y, - x), and C is given by 7(t) = (t, sin(t), cos(t)), 0 < t < T

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Q: Q5: Find for the following functions: dx (1) In (x - y) = xy + y³ ; (2) y = tan³√/cot(7x);

A: Given :lnx-y=xy+y3y=tan3cot7x Following formulas are used- ddxxn=nxn-1. ddxlnx=1x…

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A: w=sin(4x+5y) x=s+t,y=s-t replace values w=sin(4(s+t)+5(s-t))=sin(4s+4t+5s-5t)=sin(9s-t) w=sin(9s-t)…

Q: Q2 : Express the function r = cot 0 * csc 0 by cartesian form

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Q: Q1:/Verify that the given function is harmonic and find it is harmonic conjugates so that f(z) = u +…

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A: Given f(x,y) = sin(9xy) To calculate :   fx = ? At

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Q: | Suppose f(1, y) = 2 sin(11zy) and g(x, Y, z) = /144 – z² – y? – 2². Find the following function…

A: f(x,y) = 2sin(11xy)f(9, π72) = 2sin(11×9×π72)f(9, π72) =2sin(11π8)f(9, π72) =2×(-0.92)f(9, π72)…

Q: Let z be defined implicitly as a function of r and y by the equation dz 4+ In (xy?) – cos (xy – z) =…

A: We know that (u·v)' = u·v' + v·u' ddxtanh-1x = 11-x2 ddxfu(x) = dfdu·dudx      (chain rule)   Given…

Q: Q1:/Verify that the given function is harmonic and find it is harmonic conjugates so that f(z) = u +…

A: Harmonic conjugate of the function so that function is analytic

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Q: Differentiate the following function. -t r(t) = (5t e,3t In t,t sin r (t) = %3D

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Q: Differentiate the following functions: d a) dz (- 4 sec( – 10z")) = d :(V-10 cot x) dr b) d c) (- 4…

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Q: The value of 'a', for which u(x, y) = xt + ax?y2 + y is a harmonic function, is

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A: Topic = Derivative

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A: Explanation of the answer is as follows

Q: Let f (t) = e5t sin 6t Part (a) Find L{f (t)}

A: Here given that f(t)=e5tsin6t        We have to find ℒf(t) i.e. ℒe5tsin6t .

Q: dy Find dx or y' of the following functions and make any obvious simplifications: a. y = arctan(e")…

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Q: Let y = (sin x + cos x)e *, x E [0, 27|. Then the x coordinates of the inflection point(s) of this…

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Q: F. dr where (3z, – y, 4x), and C is given by 7(t) = (t, sin(t), cos(t)), 0 < t < T Evaluate

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Q: Find and sketch the odd and even components of the following functions r(t) = sin(wot)u(t) y(t) =…

A: We know that if a function is represented by f(t) Then even component of f(t) is  fe(t)=f(t)+f(-t)2…

Q: Evaluate F. dr where F = (- 3z, 4y, x), and C is given by - 7(t) (t, sin(t), cos(t)), 0 <t < ™

A: To evaluate : ∫cF→. dr→ Given: F→=-3z, -4y, xand r→t=t, sint, cost 0≤t≤π Now,  r't=1, cost, -sint

Q: Q1:/Verify that the given function is harmonic and find it is harmonic conjugates so that f(z) = u +…

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