True or false: V × (rªe¬r* sin kr f) = 0. Explain why.

Q: Find y" for the following function. y = 5 sin x cos x y" =|

A: We will find y'' as following.

Q: find the derivative of he functions fro cosco")

A:

Q: п/4 sec z dz

A: By using integration formula, we calculate the given integral.

Q: d²F – AF = 0, dx2 slove . F(0) = 0, F(t) = 0 · : heR.

A:

Q: Use implicit differentiation to find dx2 d?y if 4x2 – 2y2 = 0 %3D

A: Given,          4x2-2y2=0

Q: True or false: O True ● False d dx 1 [2 + ²] = 1 x²

A: The objective of the question is to determine whether the derivative of the function 1/(2 + x^2)…

Q: Show that the function y = x¹/², x > 0, is strictly concave

A: Given that y=x1/2 Differentiate both sides w.r.t x, y'=12x1/2-1y'=x-1/22 Again differentiate w.r.t.…

Q: Given a homogeneous system Ax = 0 with three equations and six variables. Suppose a basis for the…

A: Given that: −111000,−100110,−120−101

Q: Q9.0 If Fla)= 7. then E' (a) =? %3D

A: We have to find

Q: A diabetic patient receives insulin at constant rate from an implanted insulin pump. Insulin has…

A: Given : dMdt=a-k1M, M(0) =0 Integrating both sides we get, ∫M(0)M(t)dM(a-k1M)=∫0tdt Let a-k1M=u…

Q: dy given that 2" + 2y = 2"+y. dr' Find the derivative

A: We have to find the derivative dydx, given that 2x+2y=2x+y.

Q: dy (1 + æ)* Find for y dx Ans=

A:

Q: Calculate the derivative d dx t14 + 5dt using Part 2 of the Fundamental Theorem of Calculus.

A: