(c) Let y = (In x)2. Compute y' by using logarithmic differentiation.

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A: We can find area of the face .

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A: We have to find the value of c.

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A:

Q: Perform the indicated matrix operation, if possible. - 2x+2y -5x + y - 10x + 8y 4x-3y 4x-7y 2x 3y-3x…

A:

Q: (7) sin √x dx. (First substitution, then by parts)

A: The solution for the given integral is as follow.

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A:

Q: Determine the order and degree of the differential equation, 3x- + 5x² (d²y) ³ - 3 A. First order,…

A:

Q: Which of the following equations has a solution of the form F(x,y)= A. 2x + 3y + (2y + 3x) dx = 0 dy…

A:

Q: Obtain the differential equation whose general solution is y = C₁ + c₂e³x О А. y" - 3y' = 0 OB. 3y"…

A: the given  general solution  y=c1+c2e3x⇒y=c1e0(x)+c2e3x

Q: Find the equation of the plane through P(2,-1,1) that is parallel to II: 2x + 3y +z - 12 = 0.

A:

Q: . If (OM-ON) / - - - O A. B. O E. "Q y5 -5 then what is the integrating factor? None of the Choices

A:

Q: Solve for the value of constant C in the equation: (2x + 3)y' = y + (2x + 3)¹/² when x = -1 and y =…

A:

Q: Find the particular solution of each of the following. (4+sine)y'=e*(6soc² e* - ycose); y(ln x) =…

A:

Q: Evaluate

A:

Q: For the piecewise linear function f(x) graphed below, find the following. (If an answer does not…

A: Given: To find: limx→2- fx , limx→2+ fx, limx→2 fx

Q: What is a suitable integrating factor that can be used to solve the equation dy dx O A. e B. 3 ex C.…

A:

Q: Sketch the region bounded by the curve x² - 2 = y and the line x = y + 2 and find the volume of the…

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

A:

Q: What is a suitable integrating factor that can be used to solve the equation dy x + 2y - 4xy - e-*…

A:

Q: Solve for the IF of the equation y(x + y + 1)dx + x(x + 3y + 2)dy = 0 OA. B ev eLny B O D.y E. None…

A:

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

A:

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

A:

Q: Obtain the differential equation whose general solution is y = C₁ OA |y" - 3y' = 0 OB. 3y"-y' = 0…

A: Given query is to find the differential equation.

Q: The function s(t) describes the motion of a particle along a line. s(t) = t3 − 7t2 + 6t   (a) Find…

A:

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: Calculate the slope of the line that passes through (-11, -6) and (1, -4). O - 1 O -16 1 O 6

A:

Q: Find the derivative of the following function. f(x)=√coth (2x)

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Q: Find a polar equation for the curve represented by the given Cartesian equation. x + y = 4 2√2 sin…

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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: Evaluate S9 cos √2x dx using a substitution followed by integration by parts.

A:

Q: Solve for the value of C in the equation: dy − (y + xy5)dx = 0 when y(0) = 1 - A. 1/4 B. 1/2 C. 3/4…

A: Find integration factor first as it is linear differential equation

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

A:

Q: dy What is the IF for solving the linear equation: x + dx OA. O B. O D. O E. 3 N/W X2 C. 3 3x 2 3/2…

A: Topic- differential equations we are given, xdydx+3y2=cos x,x>0wew know thaty'+Py=Q is a form of…

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

A: Order: The highest order derivative of dependent variable present in the differential equation is…

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

A:

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

A: Exact differential equation A first order differential equation M(x,y)dx+N(x,y)dy=0 is called an…

Q: What is a suitable integrating factor that can be used to solve the equation dy x+2y - 4xy - e *…

A:

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

A: Given, dy/dt = 5t4-3et+2 And conditions y= 1  and t=-2

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

A: Given, y'-2x cot(2x)=1-2x cot(2x)-2 csc2x

Q: present

A:

Q: Determine the order and degree of the differential equation, 3x dy4 +5x² 3 (d²y) dx² - xy = 0.

A: Determine the Order and Degree of the differential equation.

Q: Solve for the value of C in the equation: dy − (y + xy5)dx = 0 when y(0) = 1

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Q: The function s(t) describes the motion of a particle along a line. s(t) = t3 − 10t2 + 32t − 230…

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Q: Graph the functions in Exercises .37. y = sqrt(x + 4)         38. y = sqrt(9 - x)

A: Given data:- 37. y=sqrt(x + 4) 38. y=sqrt(9-x)

Q: A (B) f(x) is continuous at.x=3 D lim f (x) exists x-3 (C) f(3) exists Based on the graph above,…

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

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

A: We have to find correct statement from given statements for the differential equations.

Q: Which of the following equations can be made into a linear differential equation?

A:

Q: Explain how the range of the function f1x2 = x2compares to the range of g1x2 = f1x2 + k.

A: Given: f(x)=x2 To explain: How the range of f(x) compares to the range of g(x)=f(x)+k.

Q: Graph each of the functions in the same viewing rectangle. Describe how the graphs illustrate the…

A: Concept used: Graphing A graph of a function is a line that represents the function on a coordinate…