1)Find a b. |a| = 5, |b| = 6, the angle . between a and b is 45°

Q: 9. X n=1 10/22 2n²

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Q: 13. == H

A: Radius of convergence of a power series is ∑anxn is given by 1R=limn→∞supan1n.Then interval of…

Q: 2. Newton's law of cooling states that the temperature of an object changes at a rate proportional…

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Q: 2. (1+ √2-1)² = 3+ √2x-1

A:

Q: 2. What equal payments at the end of 2 years and 5 years will equitably replace these obligations,…

A: Explanation: P = A(1 + i/n)^nt P = 4000(1+.09/2)^(2*7)P = 4000(1.045)^14P = 4000(2.369)P = 9476.00…

Q: What is the general solution of the differential equation 2y''+y'-6y=0? (A) B O E y=C₁e² +C₂e y=C₂₁e…

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Q: z-(797-x9) 10x¯¹y¯¹ 8x5y-5

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

Q: 19. y = tanh(e*)

A: Given; y=tanh(ex).

Q: For the pair of functions f(x) and g(x), find the following. f(x) g(x) = x² + 1 f(g(x)) .) g(f(x))…

A: f(x)=7x and g(x)=x4+1

Q: Is the differential equation y2dx + 2xydy=0 exact? A NO B YES

A: To determine whether the given differential equation is exact or not.

Q: Homework: Evaluate the following integrals: Please, expert, I do not have money and my financial…

A: Given data:- The given integrals, (16); ∫e-x dx (17); ∫sin3xcos3xcos3x+12 dx (18); ∫lnxx4lnx-1dx…

Q: y = ax²; xy' - 2y = 0

A:

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

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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: A utility company burns coal to generate electricity. The cost, C(p)C(p)  (in dollars), of removing…

A: NOTE: Refresh your page if you can't see any equations. . the cost function is

Q: For the function graphed in the accompanying figure, find the following limits. (a) lim p(x) 8118 =…

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Q: y't y X -0 ✓g (0) =) J

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Q: Sketch the graph of the function by first making a table of values. k(x) = ³√/-x X -27 -8 -1 0 1 8…

A: Let's sketch the graph of given function.

Q: 5 2arcsec(e) +5 3 2arcsec(e*) √e²x-1

A: Given that a integration and we solve this integration by using general property of integration. We…

Q: 2) Graph f(x): = asymptotes. x²+4x-12 x+2 You need to show your algebra when finding all intercepts…

A: 2). Given: fx=x2+4x-12x+2   As we know that; To calculate the x-intercept, we need to solve for x…

Q: XP ₂2/x-³ J 72.

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

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

A: To solve the initial value problem given.

Q: the previous first question is an error. the square root x is supposed to be next to the two not…

A:

Q: Estimate the slope of the graph at the point (x, y). (Each square on the grid is 1 unit by 1 unit.)…

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, points…

Q: 3. S 10 dx (x + 1)(x² + 9)²

A:

Q: dy/dx=2y/x+1

A: As we know that; The standard form of the first order linear differential equation is: dydx+Pxy=Qx…

Q: 1 1-x d dx

A: Let 1-x = t

Q: Determine the value of k such that y=4x²-3e²t is a solution to x(1-x)y"+ (2x²-1) y'+k(2x-1)y=0

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Q: Let f(x) = m = 6 mx x² + 7x ,2 if x If f(x) is a function which is continuous everywhere, then we…

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Q: 20.fe* √3-4e2x dx

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

Q: Q / If you have th matrices S and M be the determinant of [₁ L60 55 48 M= 10] 14 43 10 /M*S/= S

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Q: The pmf of the amount of memory X (GB) in a purchased flash drive is given as the following. 1 2 8…

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Q: What is the general solution of the differential equation 2y"+y' - 6y=0? A There is no correct…

A: Here we have given a differential equation. The auxiliary equation will be given as  2m2 + m - 6 = 0…

Q: 11. 2n+1 ΣΕΡ 201 n=1

A:

Q: A thermometer is taken from a room where the temperature is 21°C to the outdoors, where the…

A: Newton's law of cooling is used.

Q: 6) g(n)= n² + 2; Find g(3)

A: Solve the given function

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

A:

Q: 5 y 2 AV -6-4-2 2 4 67 10 -2 -3 -4 Consider the function Y 13 4 f(x) -2 if x + 4 if 2x + 1 if -2x+6…

A: Find :- We have to find the graph when x is approching xo =8.2 from the right and also value of yo…

Q: Sketch the graph of the function by first making a table of values. H(x) = |x + 1| X -4 -3 -2 -1 0 1…

A: The graph can be sketched by plotting the points on XY plane

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: Q2. (a) Find the gradient vector Vf (e, 1) where f(x, y) = y ln(xy). (b) Find the directional…

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Q: dy Solve the differential equation cosx- -+ysinx=sinxcosx. dx A y = sinxlnl secxl+ Csinx B) There is…

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Q: - 2 to The region bounded by the line 2x + 3y = 6 and the x and y axes is rotated around the line y…

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Q: 9. For f(x)=2x2, fim 2x²-2<0.05 (he

A: given :fx=2x20&lt;x-1&lt;δ

Q: The curve y²-x²= -5x is a solution to the differential equation y = (2x - 5)/2y (A) TRUE B) FALSE

A:

Q: Find g'(x) if g(x) = logx(3x)2. 2 In x 3 In²x 8'(x)= 2 In 3 x In²x 2 In 3 x In²x 8'(x)=- 2 lnx 3…

A: You need to simplify the expression of g(x) first and then differentiate that.

Q: Question 13 What is the general solution of the differential equation y" - 2y'+y=0? y=Cu +Cre B…

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Q: Given the function f(x) - 4x² + 4x + 1. Find the average rate of change of f from x = -5 to x = 6…

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Q: (That is 4 to the power of In x, all over x. It is not 4 times in x. all over x) 60 In 4 dx 11 In d…

A: Understanding of integration with substitution method is needed to solve this question.

Q: If f(x) = 15x + 4, find ƒ'(5).

A: Given: The given function is fx=15x+4 To find: we have to find the value of f'5 Note: Multiple…