Evaluate the integral. 1 u5 1 [(4-3- du u √√2 5 1 --- 4 3 1 √2 du = (Simplify your answer.)

Q: Determine whether the Mean Value Theorem can be applied to f on the closed interval [a, b]. If the…

A: The objective is to solve the above question.

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A: As per our guideline if multiple questions are posted we are supposed to answer only the first one.

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Q: dx 10) √x²4(14+x²) a) - - - c) - 1 4X ㅗ 4x + 1 andan ²/3 + c autan 1/2/3 + c 8 I ondan 2/2 + c 8 j 8

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Q: Follow the steps below for the given function. xy5y - 8 = 0 Solve the equation for y. y = 8 x-5…

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Q: Q2\ Solve by picard method (up to four approximation) y' + y = e* and y(0)-0 Find y(0.1)?

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Q: Find the derivative of each of the following functions using any method. 7.) f(x) = 6cot(sin(4x))…

A: 7. fx=6cotsin4x8. fx=6sec7x29. fx=e6x2-17

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Q: IF A [-3 6 -2 3 3 0-3 0 0 12] 06 3-6 -3 0 121 60-6 3 6 6] Option 5 6. Option 4 The Cofactor Matrix…

A: First we will understand  the term and then solve it.

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A: The objective is to solve the above question.

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A: I am going to solve the problem by using some simple calculus to get the required result of the…

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Q: Find the average of two numbers (x1, x2) and print" pass "if the average is more than 50 and "not…

A: Given numbers : x1,x2  Average  of number = (x1+x2)/n                 where n=2

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Q: Solve the given differential equation by separation of variables. dx + exdy = 0 y = 14e - 4x + C X

A: We can solve the given differential equation by using the variable separable method

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Q: Solve the given differential equation. All solutions should be found. dy 3x² - 4y - y³ 4x + 3xy² dx…

A: Explanation of the answer is as follows.

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Q: Q.3. If (4x + 5y + 7z = 14) is equation of a plane and (x = 2 + 2t, y = 1- 3t, z = 2 + t) is…

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Q: S 2 2 (2+ tan²o) nec²o do It tane a) In ( 1 + tan 6) + 2 auctan 2 tane - 1 b) b ( 1- tan 6) + 1/3/5…

A: To integrate the given integral.

Q: Find the solution of the given initial value problem. π ty' + 2y = sint, y "(-) = 5, t > 0 Y ||

A: Concept: linear differential equation of the form dydx+Py=Q The general solution of the linear…

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Q: Find dy dx 12) y = cos ³ (5x+2) -2)) y = √tan √√₂x + + 3)) Por The following Function i y = sin-¹…

A: **As per our guidelines, we are supposed to answer only 3 subparts of a question. Since you have…

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Q: Prove that For all A ∈ A, we have 0≤ P(A) ≤ 1

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Q: The limit represents f '(c) for a function f(x) and a number c. Find f(x) and c. 4√√x-8 lim X→4 x-4…

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