(y²sin2x) dx + (1-ycos²x) dy=0

Q: Find the distance between the parallel planes 3x-y+z=10; 3x-y+z=-3

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Q: 15) feve dx 18) [e-√² dx

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

Q: Question 7 What is the auxiliary equation associated with the differential equation y'"'- 3y + 4y=0?…

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Q: The differential equation y - 2y - 3x2=0 is linear and homogeneous. A FALSE B TRUE

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Q: M8 n- = n2 n n+n 5

A: Given:        ∑n=1∞n2-nn5+n taking n as common   =∑n=1∞nn-1nn4+1     =∑n=1∞n-1n4+1

Q: The second column of the matrix of change basis from the basis B = {u= (1,1,1); v = (1,0,1); w=…

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Q: Use the properties of natural logarithms to simplify the function. f(x) = In(13x) - In(13) f(x) = ||…

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Q: 1. - [48 n 1 57²

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Q: dz Use an appropriate form of the chain rule to find z = 7x³y³; x = 5, y = tº Enter the answer in…

A: To find the derivative of z with respect to t

Q: y=Get+Cocos x + C3 sinx

A: Since in this equation there are three arbitrary constant so differential equations is of order 3.

Q: 3. Without using technology, find the length of the piece of y = x³/2 from (1, 1/3) to (4, 8/3).…

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Q: What is the auxiliary equation associated with the differential equation y'"-3y" +4y=0? (A) There is…

A: solution is given below..option(d) is correct

Q: (1) Given f(x) (a) Find f 1 1-x 2 (²). f(x) = 2 and g(x)=√x² +2. (b) Find fog (c) Find and simplify…

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Q: Infinding lim 4x+9-3 X -,whattechniquemustbe used? (A) Rationalization B) Special Limit Theorems c)…

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Q: What is the general solution of the differential equation y"-2y'+y=0? Ay=C₂₁e²*+C₁₂xet (B) There is…

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Q: Prove the following limits x⁹y lim a) (x,y)=(0,0) (x6+y²)² b) = Does not exist x²y+xy² lim…

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Q: 1. n=1 1 5n

A: Given query is to apply ratio test to find seqiia diverging or converging.

Q: Evaluate f 100xdx (x-3)(x²+1)²·

A: This is a problem related to integral. Please follow the procedure given below.

Q: dy 1. = dx xy-y+2x-2 xy+2y-x-2 y(-1) = -1

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Q: Determine the largestintervalonwhichy=e*iscontinuous A [0, + ∞ ) (B) (0,+ ∞ ) (C) D (-∞,0) (-∞0,…

A: Solution of given question is written in below steps.

Q: Find d'y dx² in terms of x and y.

A: The Differentiation is given below-

Q: Find a linear second-order differential equation F(x, y, y', y") = 0 for which y = c₁x + c₂x² is a…

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Q: Find the solution of the following DE using the inspection D² + 4)y = 8x + 1-15e*.

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Q: The differential equation 3 (3x2 + y2) dx-2xydy=0 is homogeneous of what degree? B 2 3 1

A: The explanation of answer as follows

Q: Which is NOT a solution to the differential equation y''- 4y + 4y=0? A B D y=e (E 2x Ⓒy=2e There is…

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Q: 18 n=1 n 10⁰ 2n²

A: Recall: Ratio test

Q: 2. The graph below gives the supply and demand curve for a product. At a selling price of $7, will…

A: If supply is more than demand then the market will push the price down.  If the demand is more than…

Q: ex 3-4e2x 21) f dx

A: Given expression:  ∫ex3-4e2xdx

Q: C. Determine the differential equation on which the general solution is given or describe below by…

A: Since you have asked to answer question no. 4, we will solve that question.Question 4.We need to…

Q: 23. f(x) = (1+x)¹/4

A: Concept: The Maclaurin series is given by f(x)=∑k=0∞f(k)(a)k!xk In this case…

Q: Question 2 What is the general solution of the differential equation 2y"+y' - 6y=0? ²³² +₂e²²\ -2x…

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Q: Find the general solution of the given differential equation. dy dx y(x) = + 2y = x³ x Give the…

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Q: Find the general solution of the differential equation y2dx + 2xydy=0.

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Q: Find the general solution of the differential equation y(i) + 2y ''' —y" – 2y'=0.

A: This is a problem related to differential equation. Please follow the procedure given below.

Q: Whenzeroismultipliedtothe lim - 3x 20 + 1 x²-16 , the answeris

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Q: Find the derivative of the logarithmic function. 3 + ex y = ln(²=6) In 3- ex

A: The answer is given below

Q: Determine whether the series converges absolutely, conditionally, or not at all.

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Q: If x = √x^5y^5 + x^2y + xy^2, find:   zy zxy

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Q: Which is NOT a solution to the differential equation y" - 4y' +4y=0? A B [2x + 3xe ² y=2e²+ y = e 2…

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Q: Σ(1-cos), COS n=1 Hint: Compare with Ση n n=1 -2

A: We need to check whether the given series converges or diverges.

Q: 18x²y2+2, 12y+3 18ҳу 42,1 0 1222 find де Ox

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Q: 2. Let R be the region in the first quadrant that lies below y = 1-x². Use the shell method (method…

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Q: After t weeks of practice, a typing student can type 100(1e-0.5t) words per minute (wpm). How soon…

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Q: If lim g(x) = 6and lim- X-4 A B C D 3 6 √√3 √f(x)-1_√2 g(x) √6 ,whatisthe limf (x)?

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Q: Real limits are important whenever you are measuring a(n) O independent O dependent Odiscrete O…

A: Solution: this is one liner answer Ans continuous

Q: M8 n=4 1+ n -n

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Q: n= 1 (2n)!

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Q: sin 3x cos 3x (cos 3x + 1)² dx 19) fa 22) fex√3-4e2x dx

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

Q: 16.fe-√x dx

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 3x-5 1) Solve <2 algebraically. x+2 2) Graph f(x) = asymptotes. x²+4x-12 x+2 You need to show your…

A: