d²y dx² 1 dy y + x dx x² = 1

Q: Use the technique of completing the square to evaluate the integral. (Use C for the constant of…

A:

Q: 38. f(x) = = 1 3x - 2³ C=-1

A: We can solve it as follows for Taylor's series.

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

A:

Q: Write the system of equations as an augmented matrix 6x-2y2z = 3 2x+6y4z = 2 3x + 3y + z = 2

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Q: f(x) = 6x-1 ax + b 8x-1 for x 1/1/201

A:

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: 27. Show that n! nn converges. Hint: Use lim 1148 n (1 + -/-) " n = e.

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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: The table contains price-supply data and price-demand data for corn. Find a linear regression model…

A: Given:  Data is given .

Q: State the order of the given ordinary differential equation. (sin 8)y" - (cos 0)y' = 9 Determine…

A: Given the ordinary differential equation is sin θy''' - cos θy' = 9

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

A:

Q: Which of the following is an integrating factor for the differential equation dy/dx - y = 1? A B 2et…

A: See the details solution in below

Q: What is the range of the given function ? x + 3, if x 3 O a. (-∞,0) U (2, + ∞ ) O b. (-∞ 8 0] U[2, +…

A: Given gx=x+3if  x<-3-9-x2 if  -3<x≤3x-1 if   x>3To find : Range of gxSolution :

Q: i. f(x) = 1 1 – 2x

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Q: 生 二三 2 1

A: The given series is sumnation of 1/(n2-1) , n from 4 to infinity.

Q: What is the auxiliary equation associated with the differential equation y'' - 3y"'+4y=0? A n³-3m²=0…

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Q: sec² y(tan y-1) (tan y+3)* (tan y—5) 4 1

A:

Q: 27. Show that n=1 n! nn converges. Hint: Use lim n→∞ n (₁ + ²)² = n e.

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Q: 18 n=1 n 10⁰ 2n²

A: Recall: Ratio test

Q: 33. f(0) is undefined. lim f(x) = 4 x-0 ƒ(2) = 6 lim f(x) = 3 x-2

A: This is a problem related to graph of the limit function. Please follow the procedure given below.

Q: lim1 X→0 limx x→0 1 The function f is defined by lim lim x 0x x0x lim x→0 x² +1 X lim x→0 x²-1 f(x)=…

A: Simplify the expression of f(x) then set the limit.

Q: lim +0+x (1-2)

A:

Q: Thegraphofy=f(x) hastheff.features: 1./(-1)=2 2. lim f(x)=1 x-11- 3. lim f(x)=1 11114 Whichof…

A: NOTE: Refresh your page if you can't see any equations. . check option A as we can see, there is a…

Q: Parametrize the intersection of the surfaces y² − z² = x − 5, y² + z² = 9 using trigonometric…

A:

Q: Which of the following is the differential equation of the family of cubics cy² = x²(x-a) with 'a'…

A:

Q: Find the set A UB. U= {1, 2, 3, 4, 5, 6, 7, 8, 9) A = {1, 2, 3, 5} B = {4, 1, 6} Select the correct…

A: To find the set A U B.

Q: 8 - ที่

A: Given :∑n=1∞1n2+1

Q: Refer to the graph of y = f(x) = x² + x shown. a) Find the slope of the secant line joining (-2,…

A:

Q: Eliminate the constant: y=cx+c²+1 Oy=xy' + (y) ²+1 O y'=xy + y² +1 Oxy"=x+ (y) ²+1 Oy=y'+x(y'¹) ²+1

A: The answer is given below

Q: Find the general solution to each of the following differential equations. Write the solution in…

A:

Q: Q/If you have the two matrices S M below, then the determinant of S*M is 22 17 S= 75 85 --[] 12 17…

A: Given S=221775851217 and M=954310605648

Q: What is the general solution of the differential equation y "'- 2y '+y=0? A There is no correct…

A: Here we have given a higher order differential equations.  Now we have to find its general solution.…

Q: 1. Consider the IVP: y'= (1-2x)/y, y(1) = -2. (a) Use the method of Separation of Variables to solve…

A: Given differential equation is y'=1-2xy also the initial condition given is y1=-2 We have to solve…

Q: The table gives values of a temperature T(t) of an object at time t. Using the Midpoint Rule…

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Q: ИA 7-u =U I+ εu З S

A:

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

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Q: (b) L'Hôpitals's rule can be used to compute the limit limx→ x²+x+1 2x²+x+1

A:

Q: 4) Find the following by using the substitution z = tan cos e de ii) sine cose + sin € dx ii) 1+ sin…

A: As per the guidelines I am supposed to do the first question among multiple questions, so here I am…

Q: Below are pie charts representing the U.S. voting age populations in 1960 and 2016¹ 1960 US Voting…

A:

Q: csc (lnx) cot (In x) 4x²+x² csc(lnx)

A: To evaluate the following integral.∫cscln x cotln x4x2+x2 cscln x dx

Q: Find the EXACT limit. Show your work or explain how you determined the limit lim, arctan r

A: Here we have to find the limit.

Q: 4. For each quantity below, set up an integral that will give its value, then use technology…

A:

Q: Q4/ Find the maximum and minimum values of the function F = x². constraint 2x + y-z-5=0. Q5/A-…

A: Since, you have posted multiple questions, as per guidelines, we"ll solve only first three…

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: Graph the function and observe where it is discontinuous. Then use the formula to explain what you…

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Q: 23. (In x)² dx

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Q: estion 7 Recognize the sum of the infinite geometric series where the first terms are 111111 O a.…

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Q: 21. cos(sin-¹)

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Q: Prove that (b − proja (b)) · a = 0.

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Q: f(x)= x+5 x²-9

A: