Using any method, find the value of F dr if F(x, y) = (3e+ 9ye") i+ (9e + 3xe")j and %3D Tt C: r(t) = sini+ In tj (1

Q: Given pair of functions is (sin3x,4sin3x) O a. Linearly Independent O b. Linear O c. Nonlinear O d.…

A: The pair of  differentiable function is linearly dependent if the  Wronskian is zero and is linearly…

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Q: 1. Determine the range of the function y = -3 sin[4(x – 2)] + 2.

A: Range of trigonometric function

Q: Eliminate all the arbitrary constants in the equation as follows: y = Ae2x – e-5x(B cos 2x + C sin…

A: The solution is given as

Q: H.W Show that the following functions are harmonic and determine the conjugate functions. 1. u= x…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: a. (0.25, 0.75) FINO C. π b. sin50 cos 0 do 2 -2 x² Só Z²dx 0 √2-x

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Q: 1. Find of the trigonometric function: dx y=−10x + 3 cosx

A: Derivative of Cosx is -Sinx

Q: Seven thieves try to share a hoard of gold bars equally between themselves. Unfortunately, six bars…

A: Seven thieves try to share a hoard of gold bars equally between themselves.Unfortunately, six bars…

Q: S.S. X x Arcsin y 4 yª dydx

A: Reverse order

Q: Give an equation of the resulting function when y=sin⁡ Ø  is horizontally stretched by a factor of…

A: Give an equation of the resulting function when y=sin⁡Ø  is horizontally stretched by a factor of…

Q: Let f(z) = (1+15r cose + ar sine) +(3+ẞr sin0+6r cose), where z= r eie, be an entire function. Then…

A: Please see the below picture for detailed solution.

Q: 1. Consider the function g(x, y) = cos(xy) + sin(x - 2y)

A: INTRODUCTION: The formula of directional derivative of a function f(x,y) at a point (a,b) is given…

Q: d 35 - Find dr15 (x sin x).

A: To find:

Q: |sin (x)cos (x) dx

A:

Q: Eliminate all the arbitrary constants in the equation as follows: y = Ae2x – e -5x (B cos 2x + C sin…

A: Solve the above question.

Q: BEcbuse the derivative of a function represents both the slope of the tangent to the curve and the…

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Q: Write the equation of the function given in the diagram in the form y = c - a cos(bx): y = -J 2 J 3…

A: The given graph is:   To write the equation of the function given in the diagram in the form…

Q: B. Find y(4). 1. y = sin 2x tan x csc² 2

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Q: (Extra). Graph. Y=3-Sin (x/2 + pie/6)

A: