Evaluate (2i)2 - √-4 + √-7i

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Q: 3. Find the derivatives of y with respect to x: a) y = xex - e* %3D b)' y = e(4x+;) c) y = e*(sin x ...

A: To find- Find the derivatives of y with respect to x: y = xex - x y = e4x + 1x y = exsinx + cosx y ...

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A: By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all ...

Q: Solve the initial-value problem 1. y" - 3y' - 10y = 0, y(0) = 0, y'(0) = 7. 2. y"+14y' + 50y = 0,y...

A: Note: We are entitled to solve one question at a time. As the specified number is not mentioned and ...

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A: We will use concept of sequence to verify the nature of sequence. 

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A: The equation that describes the relation between the distance, rate, and time is Rate=DistanceTime.

Q: Skill-Building Activity Use power series to solve the differential equation. 1. y' - y = 0

A: Since you have posted a multiple question according to guildlines I will solve first question for yo...

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A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for you...

Q: paper 2 4. INDICES AND SURDS 2012 J Q2 (b) Solve the equation 363y-5 63y 62y-1 216 y+6

A: Solution:-

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Q: 4. Use mathematical induction to prove that Vn E Z* u {0}, []²=o(2i + 1)! > ((n + 1)!)**. n+1

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Q: 3. Find the derivatives of y with respect to x: a) y = xex – e* b)' y = e(4x+;) %3D c) y = e*(sin x ...

A: To find- Find the derivatives of y with respect to x: y = xex - ex y = e4x + 1x y = exsinx + cosx y...

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Q: 2. Solve the differential equation 3y" + 12y sec 2x by using variation of parameters. 3 =

A: Send order non-hompgenuous differential equation, method of Variation of parameters

Q: Question 3) Using Reimann sum, find the area under the graph of the function f(x) = 1– x? Take the i...

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Q: 3. Prove indirectly. Let Q = {n/m|m,n E Z and m # 0}, and I = R – Q. Ifr e Q and s E I, then 2r – 3s...

A: Here, We'll use method of contradiction to prove the result.

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A: Contrapositive for the statement "if A then B " is "if not B then not A" Given statement:   If xy an...

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Q: Problem 7 Show the derivation of formula for the conversion from spherical coordinates to rectangula...

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Q: cos x xp - cos? x d)

A: Here we have to find anti derivative of d) 

Q: Answer the following. All fractions are in lowest form. 5x² - 3x + 18 dx x(9 – x-) dr 12. r³ (Vr² – ...

A: As per our  guidelines we are supposed to answer only first question. kindly repost other parts in t...

Q: Suppose that |u xv = 7. Find ||(5u + 6v) × (3u - 9v)||-

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Q: Use the method of variation of parameters to find the general solution of the differential equation ...

A: We have to find the general solution of given differential equation by the method of variation of pa...