Verify that the Mean Value Theorem (MVT) applies to the function f(x) = sin? x – cos x on the interval and find all the values satisfying the conclusion of MVT.

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Q: Is this correct? Kindly check please

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Q: 11.What value of x is the function f(x) = Vx2 - 3 continuous? Α. x =0 B. x = 1 C. x = -3 D. х 3D -2

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Q: 1. (x+6у?)dx - 4хydy-0

A: Given problem:- (x2 + 6y2 ) dx -  4xydy = 0  Solve the given differential equation

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A: We will find c.

Q: Let F(x)= f(x) + g(x)e* + h(x)e2x+C be the antiderivative of G(x) = (x+ e*)", Determine the value of…

A: Explanation of the answer is as follows

Q: nd the implicit differentiation by using Total Derivatives a unction, x³ cos(2y) – 3x4 + 2e3y

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A: Solution is given below:

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A: This question is based on integral by parts integration.

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Q: Let F(x) = f(x) + g(x)e* + h(x)e2x+C be the antiderivative of G(x) = (x+ e*)", Determine the value…

A: This can be solved as follows:

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A: According to company rules.. I need to solve first question when multiple questions are posted

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A: N(t) =N0 ekt  ...(1)N0 =260N(1)=260 ekN(8)=260 ek8N(8) =2 N(1)260 ek8 =2*260 eke8k =2 eke7k =27k =…

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A: To determine the order and degree of the following differential equation.xd3ydx3+7dydx-7y=0

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Q: Find the implicit differentiation by using Total Derivatives a function, x³ cos(2y) – 3x4 + 2e³y

A: Given problem:- Find the implicit differentiation by using Total Derivatives a function,   x3…

Q: Determine the value of C in on the antiderivative of F(x) = sin°(x)cos³(x) for x = 0.701 and y =…

A: Let's find.

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Q: y(2² – y² + 1)dæ – (x² – yf – 1)dy = 0

A: Option C)