Solve for the IF of the equation y(x + y + 1)dx + x(x + 3y + 2)dy = 0 OA. O B. ey O eLny °A O D.Y O E. None of the Choices

Q: b = PQ Given the vectors a = (2,-1, 3), P(1,1,1) and Q (5,1,-1) and Z = T J + 3R Where ● Find the…

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Q: Eliminate the arbitrary constants of y=ce*+₂4-sin3x

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Q: Factor out the greatest common factor. Simplify the facto 48x^(8)y^(8)-84x^(4)y^(5)+24x^(

A: Topic:- algebra

Q: Solve triangle ABC. (Round your answers to one decimal place.) LA = LB = LC=

A: From given diagram, a=34, b=12, c=36

Q: Denote by F(x) an antiderivative of e². Find an antiderivative of x²e in terms of F (that just means…

A: Given, Find an antiderivative of x2ex-6 in terms of F

Q: 2. Let f(x) = -x + 7 and g(x)=x²-2. Evaluate each expression. (a) f(g(1)) (b) g(f(6))

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Q: eous rate of change of f(x) when x = 1 ? traight line travels s(t) km. in t hours where

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Q: If f (x) = x2 - 3x, find f (0), f (5), f (3), and f (-7).

A: Given data:- The given function is, fx=x2-3x

Q: Write the equation of the plane with normal vector n = (-6, 4, 2) passing through the point (4, 6,…

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Q: In Exercises , say whether the function is even, odd, or neither.Give reasons for your answer.59.…

A: Given: 59. sin 2x        60. sin x2 61. cos 3x          62. 1 + cos x Formula Used: If f(-x) = f(x),…

Q: Separation of Variables Obtain the general solution of the equation y'=xy'

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Q: Find the term indicated in the expansion (2x + y)6; third term.

A: Given: The given expression is: (2x + y)6 Formula Used: Binomial expansion: a+bn = C0nanb0 +…

Q: Use the Gauss-Jordan method to solve each system of equations. 4x + 4y-4z= 36 2xy + z = -3 x - 4y +…

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Q: Degree of homogeneity of the functiom f(x,y) = (x²-4y²)^-1/2

A: To find the degree of homogeneity of the function.

Q: what is rational function ?

A: Relational number Our connection is number three. As you'll see that number is specific to our…

Q: - Show that the curve y = 5e* + 7x + x5 always has a slope greater than 7.

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Q: Use the Binomial Theorem to expand the binomial (y - 3)4 and express the result in simplified form.

A: Given Data: Binomial: y-34

Q: Consider the ellipsoid x² + y² + 4z² = 41. Find the acute angle that the tangent plane at the point…

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Q: The integrating factor (IF) of the equation: (2x³y² + 4x²y + 2xy² + xy4 + 2y)dx + (2y³ + 2x²y +…

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Q: Is the point (3, 12) on the graph of the function f (x) = (x - 12)(x + 2)?

A: Given data:- The given function is, fx=x-12x+2 And the given point is, 3, 12

Q: 1. Given that lim f(x) = -1 and lim g(x) = 8, find the following limits. H-3 →3 f(x)5 +3 (b) lim -3…

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Q: 8 of 8 Find the area of the triangle with vertices P(1,5,-3), Q(0,0,0) and R(4, 6, 1). NOTE: Enter…

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Q: Which of the following equations has a solution of the form F(x,y) = C A. 2x + 3y + (2y + 3x) dy: dx…

A: Option D :   (A) and (D) Does not have  a solution  of the form F(x,y) =C

Q: Solve for the value of C in the equation: (3xy2 + 2y)dx + (2x²y + x)dy: = 0 when y(1) = 2

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Q: True or False The cube function is odd and is increasing onthe interval 1 - q, q 2.

A: Given, fx=x3

Q: 11. Let g(x) = x² e. Find at which x value(s) does g(x) have a horizontal tangent line? X

A: Given query is to find the value of x where tangent line is horizontal.

Q: Suppose f (x, y, z)= + P = (2, 4, 3). A. Find the gradient of f.

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Q: The degree of homogeneity of the function f(x, y) = (x² - 4y²)-1/2

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Q: dy Solve for the value of C in the equation: + ycotx dx OA. -5 B. 5 OC.-4 D. 4 E. None of the…

A: The given differential equation is dydx+ycotx=5ecosx, yπ2=1 This is a linear differential equation…

Q: Find the area of the triangle with vertices P(1,5,-3), Q(0, 0, 0) and R(4, 6, 1). NOTE: Enter the…

A: To find the area of the triangle with vertices P1, 5, -3, Q0, 0, 0, and R4, 6, 1.

Q: The rate of change of the variable y in terms of another variable t is equal to the expression 5t4 -…

A: Your option is incorrect but my solution is correct .

Q: find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A: Given expression, y=x3-12x

Q: State whether the equation is ordinary or partial, linear or non-linear, and give its order and…

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Q: sin t t lim R t-

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Q: Obtain the differential equation whose general solution is y = C₁ + c₂e³x. 3x O A. O B. C. D. O E.…

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Q: How many x-intercepts can a function defined on an intervalhave if it is increasing on that…

A: x-intercepts of a function on a graph are the points where y has value zero i.e., when the curve…

Q: Determine the periodic payments PMT on the given loan or mortgage. (Round your answer to the nearest…

A: A=P(i[1+i]n)[1+i]n-1where A is the periodic payment amountP is the principali is the periodic…

Q: Write the first three terms in binomial expansion (x + 3)8, expressing the result in simplified…

A: Given: The given expression is:  (x + 3)8 Formula Used: The formula of Binomial expansion is: (a+b)n…

Q: dy What is the IF for solving the linear equation: x + = C0SX,x >0 dx 2 O O O O A. B. D. E. MIN 3x 2…

A: To find IF

Q: Differential equations 2xe²tdt+(1+e²¹)dx=0 exact

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Q: The degree of homogeneity of the function ƒ (x, y) = (x² − 4y²)−¹/² A. 1 B.-1 C. -1/2 D. None of the…

A: The given function is fx,y=x2-4y2-12 We have to find the degree of the homogeneity.

Q: What is a suitable integrating factor that can be used to solve the equation dy cos(2x) = 0 O A. OB.…

A: To determine the suitable integrating factor that can be used to solve the equation.xdydx+2y-4xy-e-x…

Q: Find the y-coordinate of the point (a + 1, ?) if this point lies on the graph of the function f (x)…

A: Given: f(x) = x3 The points are: x = a+1 y =? Formula Used: a+b3 = a3+3a2b+3ab2+b3

Q: Which of the following statement is TRUE? O A. An ordinary differential equation (ODE) contains…

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Q: a -- In words, describe the curve F(t) = (2 sint,e',2 cost) for 0<= t <=6 . Be sure to give enough…

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Q: sketch the graph of each function. Be sure to label three points on the graph.   f1x2 = x2

A: Given function is f1(x2)=x2So, we can say that the given function is a linear function i.e., a…

Q: Which among the choices is the same as the differential equation dP dt = = P(C₁-C₂P)?

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Q: Given: x²y 01 02 00 O 1 | 2 dy dx = e³, Find: c if y = 0, x = 1 O None of the Choices

A: see below the answer and explanation with calculation

Q: 1. Find the limit. lim X-5 lim x-5 2 √x +11 -6 x-5 2 √√x+11 -6 X-5 =

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Q: 3x Obtain the differential equation whose general solution is y = C₁ + c₂e³x.

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