Find the laplace of  f(t) = cos(root2)t + sin (3t)

Q: (2sinx+3cosx)'dx

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Q: t' sin(2t n(21*)dt Evaluate

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Q: Find the tangent plane to the equation z = 2y cos(5z – 4y) at the point (4,5, 10) z = 2y- 2= 0 X…

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Q: Find y" of sin y + cos x = 1 using implicit differtiation

A: Given Data: Equation: siny+cosx=1 ......1   The first differentiation of equation (1) using the…

Q: f' = 2t – 3 sin t where f(0) = 5

A: We will integrate f prime to find f. And then use the given condition to find the value of…

Q: Graph the curve x = cos t + 2 cos 2t y = sin t + 2 sin 2t to discover where it crosses itself.…

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Q: Compute the area bounded by the cardioid r(0) =1– sin(0) on 0, Express your answer as a decimal…

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Q: Now H= [² 2 id 2² H эрг = Ho 2² [Ho Sin (Kr_wt)] ar 2 [2 Ho Sin (Kr- wt) Ho 2/ [cos (kr-wt) x] K Ho…

A: They have derived the partial derivative. Our aim is to explain the derivative rule.

Q: Find cot theta of 4x + 9y = 0, x is greater than or equal to 0.

A: We will find the concept of slope to get value of cot thetha

Q: d (a) / ₁ (t²-1)²dt. -10 -10 (b)/(t²-1)²dt. (c) d dx 32² -10 3x² (t²-1)² dt. d (d) — (t²-1)²dt. dx…

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Q: EX/ Find dy for function y = sin ³x + cos³x dx H.W Aus=3sinex (Sinx-Cox) 2

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: If θ̂ is a point estimator of θ, prove that MSE(θ̂) = V(θ̂) + (B(θ̂))2

A: We have given that θ̂ is a point estimator of θ. We know that  MSE(θ̂) = E((θ̂ - θ)2 )