Let r (t) = (sin (f),cos (1), 9 sin (1) + 4 cos (2r)). Find the projection of r (1) onto the xz-plane for –1 < x < 1. (Use symbolic notation and fractions where needed.) z (x) =

Q: Evaluate f da V5-

A: we have to use substitution method to solve this integral. these are basic integral formulae which…

Q: 2. Describe the transformations (in point form) required to transform the function y= cos x to the…

A: The solution are next step

Q: Let r (t) = (sin (6r), cos (6t) , sin (6t) cos (12t)). Find the point where r (t) intersects the…

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Q: Q2/plot the radiation pattern u (0, p)= Sine cosp in coordinate XY, XZ With illustration on the…

A: To plot the radiation pattern u(0, 0) = Sine cosp, we need to first understand the equation and its…

Q: Consider the initial value problem y" + 5y + 6y = 0, y (0) = 2, y (0) = B, where B > 0. (b)…

A: Given: y''+5y'+6y=0, y(0)=2, y'(0)=β

Q: 2, then the conju

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Q: If we use the Laplace transformation, the solution y(t) of the following differential equation: y' –…

A: The given differential equation is                                       y'-3y=1  with  y(0)=2.

Q: a) Find an analytic function (or functions) if Ref(z) = x² - y² + 2x and fli) = 2i - 1 b) Find all…

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Q: Let F= (2e", 5 sin(x), 8 cos(x)). Calculate div(F) and curl(F). (Use symbolic notation and fractions…

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Q: Consider the function f(x) = cos(x2 - 2) + 1 on the interval (-3,3). Calculate the two x-intercepts…

A: f(x)=cos(x2-2)+10=cos(x2-2)+1cos(x2-2)=-1 As we already know, the solution to the trigonometric…

Q: 1. Evaluate dx sec2 x (a) Ja(x+ 4) (b) A. dx V1- tan?x VT(x + 4)

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Q: Verify directly that the relation y = C3 e cos bx + c4e sin bx satisfies the equation [(D – a)² +…

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Q: Evaluate f(4 cos 0 – 0) de

A: For this problem, we have too know integral of cos theta.

Q: Evaluate f(4 cos 0 – 0) de -

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Q: if f(x)=cospix, find the extact value of a such that f(1)-f(-1)/1-(-1)=cos a.

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Q: Find a sin²(x) dr. 16 +1 R

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Q: a sin(x) -dr. Jr (r² + 1)(x² + 16) R.

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Q: Evaluate f(x) = 7sin r 1 COS -X %3D at a /3. x =

A: Given fx=7sinx-cos12x To evaluate the value of function at x=π3 put this value in fx fx=7sinx-cos12x

Q: Let f′′(θ)=sin(θ)+cos(θ) and suppose that f(0)=6 and f′(0)=10.  What is the sum of the coefficients…

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Q: Suppose f (x) =cos( 2– 3x). Evaluate: )dx A - 3sin(3x – 2) +C ® -;sin(3x – 2) + C sin(3x – 2) + C D…

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Q: Find ∫R x sin2(x) / x6 + 1 dx. COMPLEX ANALYSIS..

A: The given expression is, ∫Rxsin2xx6+1dx To find the value of the given expression.