dx(t) If the PSD of X(t) is Sry(0). Find the PSD of - dt

Q: s(t) = (3t1/2+2)(5t1/3+1). Find the derivative of the function using the product rule and simplify…

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Q: Find S 2t²e*dt

A: Given query is to find the value of the integral.

Q: dP dt т 1- kP 1- M

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Q: Find F′(x).

A: Given Data The integral function is F(x)=ꭍxx+2(4t+1)dt.   Solve the given integral function,

Q: df + At" f(t)– B•cos(@t) dt with A = 5, n = 2, B = -6, w = 12, and f(0) = 3. derive an expression…

A: We are given the differential equation,                                      .

Q: The equation of then tangent line to y?e2* = 3y + x2 at (0,3) is y= – 6x + 3 A) True B) False

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Q: 13. s = tan t – t

A: Solution: The objective is to find the derivative of the given function

Q: Find the mean value of the function f(X,Y)= X² + y².

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Q: Find the average rate of change of f(x)=−x2+9x on the interval [1,6].

A: Given: The given function is, f(x) = -x2 + 9x  on [1, 6]   To determine: The average rate of change…

Q: 2t5 + t2 – 5 h (t) = t2

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Q: Find the derivative of f(w) = √3w²

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Q: Let 3x3-y3 = 2. What is the value of dx/dt if dy/dt = -2 when x = 1?

A: To find the derivative of x with respect to t.

Q: 3. dx 4.-72 dt

A: ddx∫1x34-t2 dt

Q: F = (2+-1) dt

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Q: Determine the second derivative of 6 y – xy²= 1 -

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Q: 4x Let F (x) = S dt. Find F" (x). %3D 2+3

A: Given: Fx=∫04xdtt2+3 we know that by fundamental theorem of calculus if gx=∫pxqxfxdx then…

Q: Find the mean value of the function f(X,Y)= X² +Y².

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Q: Let F(x) = sin(t) dt. Find F'(z). f

A: Here we use following formula for differentiation under the sign of integration ddx∫axbxfx,t…