Which of the following is the general solution of: y(x+1) 2 dy dx x Select one: O a. 2lny = x - ln x + k O b. 2 ln y = x -lnx-k O c. 2lny = x + lnx-k O d. 2 ln y = x + lnx + k

Q: Suppose that x and y are related by the equation Proportionality 1 dt. Vi + 4t² |Show that d²yldx²…

A:

Q: Solve for x. E (7x)° (7x)\ I (4x)° (4x)) F (7x) (7x) O 20 О 10 O 22 O 5

A: Given a hexagon with interior angles 7x°,7x°,4x°,4x°,7x°,7x°.

Q: The linearization of y = (6x- 11)2/3 at a = 2 has the form L(x): = mx +b, Find the values of m and…

A: We have to find out

Q: Solve the D.E. 3(3x? + y²) dx - 2xy dy = 0 (A x= c(x² + 9y²) B x= c(x2 + 3y3) © x = c(9x² + y²) D x…

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Q: Г1 о 2 4 = 0. Find x, if [x -5 -1] 0 2 1 2 0 3 %3D 1

A:

Q: VOLUMEN √√10 -SV = y²+5 y215 10 y²+5 -(10-x² - 2y²) dxdy - - 10 (x +y) dxdy 3y² +5

A:

Q: -If If 2x 1 then x = ? 3 2 6 1 А. 30 В. 1 15 1 С. D. E. II I7115 113 A.

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Q: [(5x-3)² dx = 9

A: Using integration formula we find ∫99(5x-3)2dx

Q: Evaluate f- 8x+1 dx V4z-3 (4x – 3)½ +(4x – 3) +c O b. (4x – 3)/2 +(4x – 3)i + C (4x - 3)%2 +(4x – 3)…

A: Given integral,∫8x+14x-3dx

Q: 1 Q 2. Differentiate h(x) = (V+ -2 IX

A: The equation can be re written as,

Q: 2. Compute the value of | V25–x² dr

A: Given data:   The given integral expression is I=∫0525-x2dx.     Assume x=5sint, and differentiate…

Q: At which value in the domain does ffx) = 0? 10 8. f(x} 4- 2 4 -3 -2 2h 3 4 X -6 -8 -10 O x=-3 X= 0 X…

A: We can find the required answer from the graph as below.

Q: PLEASE HELP ME ANSWER WITH SOLUTION    18

A:

Q: 5. Evaluate f V2x + 1 dx. (2x + 1)/2 + C a. 3. b. (2x + 1)/2+ C c. (2x + 1)/2 + C d. (2x + 1)/2 + C

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Q: dy 10. dx = =3x2 given (0,-2)

A:

Q: 3. (x* + 2)(x – 10) = Colve for "X": 2 4. Y= x -

A: Given that

Q: Solve (√x+x)=√y+y Select one: O a. y (c(1+√x) + 1)² O b. y = (c(1+√x)-1)² O cy=(-c(1 + √x) + 1)² O…

A: The given equation is; [sqrt(x)+x]dy/dx=sqrt(y)+y.

Q: 17) A 10% acid solution was mixed with a 30% acid solution to produce a 15% acid solution. How much…

A: Mixture of solutions

Q: 1. S+1)dy y2+4

A:

Q: dy Find the general solution to the equation: = 6xey. dx y = e-ln(3x²+C₂) O y = ln(3x² + C²) o • y =…

A:

Q: If and y are variable quantities such that y=k/x for some consranr k, then we say that y is…

A: We are given that x and y are inversely proportional. Therefore, for some constant k we have y=kx…

Q: 1 If (м - ох) - - - . then what is the integrating factor ду ?х/ м

A:

Q: = / y ²³. (X²+1) (3x+4) 5/ (2x-3)(x²-4) Find dy da

A: To find dydx:

Q: Determine for which values of m the function (x)=x" is a solution to the given equation. (a) 3,2d…

A: We have to find the value of m.

Q: the Pollowing D.E So Ve 3メ 12 X +3 =e |

A:

Q: cln3 dx (b) (10 points) Ф) (10 роints) z et n2 e*-e

A: We use the definition of the integral of functions and partial fractions to evaluate the given…

Q: Find for the following: y = 4x° – 2x 322 – 4x – 14

A: Recall: d[a f(x)± bg(x)]dx=a d[f(x)]dx± b d[g(x)]dx; where 'a' and 'b' are constants. dxndx= n xn-1…

Q: 1. Solve for the variable x. F = kx – kxo A. x=F-kxg А. х- O B. x=F-kx, k F- Kxo О с.х3 C. x= D.…

A: The given equation is F=kx-kx0

Q: How to Integrate 4 S² y² x √ 4-y dy

A: ∫04y2×4-ydy

Q: 1 y2 y3+3 dxdy 0 0

A: Let I=∫01∫0y2y3+3dxdy

Q: Determine whether the statement makes sense or does not make sense, and explain your reasoning. The…

A: Colorado, a western U.S. state. The population of Colorado is approximately 4.6 x 1012.