5x2+x+4 2 (x² + 2)(x − 6) – dx =

Q: Given the differential equation: (4xy + 3y² - x) dx + x(x + 2y)dy = 0 The solution to the…

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Q: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.…

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Q: Determine the set of points at which the function is continuous. 1 + x² + y² 5 x² - y² F(x, y) = = D…

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Q: y = = 015 4. -2 13/ X

A: Given y=6x4,y=-2x3 The objective is to find the derivative of given functions.

Q: Which of the equations below is a second order nonlinear differential equation? A. 2 x²y - (1 - dx)²…

A: To find the nonlinear equations.

Q: List the intercepts and test for symmetry: y2 = x + 4

A: Given data:- The given equation,y2 =x+4

Q: Which of the following equations can be made into a linear differential equation? OA. (x² + xy)dy -…

A: Option D

Q: Let F(x)=f(f(x))=f(f(x)) and G(x)= (F(x))2 and suppose that f(6)=7, f(7)=2, f′(7)=3 ,f′(6)=8 Find…

A: As we know that for composition of function F(x)=ff(x), F'(x)=f'f(x)×f'(x)

Q: Determine all the methods that can be used to solve the differential equation ( 3x ²y ³ — 4x − y ³)…

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Q: 5 ft X 0 A pole stands 75 feet tall. An angle is formed when wires of various lengths of x feet are…

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Q: Which of the following is a non-homogeneous function? tan³y/x OxLnx-xLny O x³ − xy + y² (y² + v²)³/2…

A: homogenous function is f( tx,ty ) = t^n f(x,y) option a) f(x,y) = tan (3y/x) now,…

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: Solve for the value of C in the equation: (2xy4e³ + 2xy³ + y)dx + (x²yªe¥ − x²y² – 3x)dy = 0 when…

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Q: Solve for the value of C in the equation: O A. 1 OB. 2 O C.3 O D. 4 E. None of the Choices dy dx…

A: Find integrating factor of linear differential equation

Q: O D. dependent variable = y, second order, first degree, not linear

A: The given differential equation

Q: A contour map for a function f is shown. Estimate the value of fy(3, 16) 25- 20 15- 10 5 60 fy(3,…

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Q: II. Give the indicated derivative 1) find the 27th derivative of cos x

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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 =…

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Q: Express the function h(x) = 5log(x² + 6) the form fog. If f(x) = 5log(x), find the function g(x)

A: We can find the function g(x) from the given composite function in the below steps.

Q: Obtain the differential equation whose general solution is y = ₁ + ₂³x

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Q: In 1997, there were 41,512 shopping centers in a certain country. In 2007, there were 48,662. (a)…

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Q: 1 † (OM - ON) - M . If OA es OB. U O D. e-5 ys ly = then what is the integrating factor?

A: Key points: Consider the differential equation M dx + N dy = 0. If this equation is not exact, then…

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 or may be last option correct . But my solution is correct .

Q: A solid lies between planes perpendicular to the x-axis at x = 0 and x = 18. The cross-sections…

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Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) E.…

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Q: The integrating factor (IF) of the equation y' - 2ycot2x O A. sin2x O B. cot2x O C. Lnsin2x O D. E.…

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Q: 15. Find the limit. lim X48 lim X-8 sin 15x 19x sin 15x 19x =

A: See this solution in below.

Q: Which of the following equations is NOT an exact equation? OA. (2x sin y + y)dx + (x² cos y + x)dy =…

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Q: Which of the following equations can be made into a linear differential equation? O A. (x² + xy)dy -…

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Q: Solve for the value of C in the equation: O A. 1 (2xy4ey + 2xy³ + y)dx + (x²y4eY - x²y² - 3x)dy = 0…

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Q: Solve for the value of C in the equation: (3xy² + 2y)dx + (2x²y + x)dy = 0 when y(1) = 2 OA. 4 OB.…

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Q: 18

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Q: The population of the world was about 5.3 billion in 1990. Birth rates in the 1990s ranged from 35…

A: Here assume P(t) be the population of world in billions at any time t in years

Q: Give the implicit solution of y'=y=xy²e Oe-2x = y²(x²+c) O e ²x = y²-c O e²x = x²(y²-c) е…

A: We will find the required  solution of given differential equation.

Q: 23. The accompanying figure shows the graph of y = -x² shifted to two new positions. Write equations…

A: Given: The figure shows the graph of y=-x2 shifted to two new positions. To write the equations of…

Q: The length of a stalactite (in mm) has been measured at the beginning of every fourth year since the…

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Q: Graphing the Cube Root Function(a) Determine whether f1x2 = 23 x is even, odd, or neither. State…

A: Given function is cube root function i.e., f(x)=x3

Q: What is the order of the equation y" y- (y')³=4?

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Q: The integrating factor (IF) of the equation y' - 2ycot2x = 1-2xcot2x - 2csc2x

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Q: Determine the slope and y-intercept of the graph of 3x - 5y = 30.

A: The given equation: 3x - 5y = 30 To determine: The slope and the y-intercept of the given equation.

Q: Draw the unit circle and then shade in an arc of the circle's boundary with a shaded arc length of…

A: Length of arc, l = r * theta  Where, r = Radius of circle       theta = Angle subtended by arc at…

Q: Find the total area bounded by the graphs of f(x) = 3x³x² - 10x and g(x) = -x²+2x. O 32 units² O 8…

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Q: 80 LUPTATE 40 You can expect Interstate 40 to be A. north B. south C. east O D. west 80 40 of…

A: According to map's direction indicator below side is in souh direction and upper side is in west…

Q: Which of the following is a non-homogeneous function?

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Q: Similarly, approaching along the y-axis yields a limit equal to 0. Since these two limits are the…

A: Given that a limit problem and we solve this problem by using general property of limit.   Here i…

Q: 9. For what value of a is the following function continuous at every x? a x+6a, x22 8, x<2 Select…

A: Given query is to find the value of "a" that makes function continuous everywhere.

Q: Integrate. S2x² sin (12x) dx = +C

A: Given query is to find the integral.

Q: g(x) = 3x + 6 x 10

A: We need to evaluate the limit.

Q: which is what in decimal form?

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Q: compute the acute angle formed by the asymptotes of the hyperbola x^2-3y^2-8x=14

A: Explanation of the answer is as follows