Graph the function and observe where it is discontinuous. f(x, y) = e¹/(x - y) f is discontinuous at x = Need Help? Read It 6

Q: Which of the following equations is NOT a variable separable differential equation? O A. 2xydx + (x²…

A: Option D is not a variable  separable  differential  equation .

Q: Authorities conducted an investigation and found that the chemical Trioxin was illegally dumped into…

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Q: fies a(t) = −9.8 + mv(t)², where v(t) is velocity, negative since the object is falling, and k is a…

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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: A B C D lim /(x) = 0 x+2+ lim f(x) = 2 x →-2+ lim /(x) = 0 x+2- lim f(x) = -3 x--2 -5-4-3-2-1 Y -3-…

A: Find limit of function

Q: sinx What is the integrating factor of (1+x) y + 2y = - 1+x

A: We have to find integrating factor for given differential equation.

Q: Find the equation of the plane containing the points P(3,1,5), Q (-1,-1,-1) and R (-2, 2, 4)

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Q: -6 1 1 9 d. f(-4)= = -2 T Consider the graph of y = f(x) above. State the value of each of the…

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Q: 11. Define what it means to say that lim g(x) = k. the motion y X-0 Choose the true statement below.…

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Q: Find the velocity and position vectors of a particle that has the given acceleration and the given…

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Q: Given that Vf(10, −8) = 13i – 9j, find the directional derivative of the function f at the point…

A: Given query is to find the directional derivative.

Q: 7. Write a formula for the triple product rule, the derivative of p(x) = f(x) · g(x).h(x)

A: Given query is to apply triple product rule

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: What is the value of k so that the differential equation (y³ + kxy4 − 2x)dx + (3xy² + 20x²y³)dy = 0…

A: Given data:- y3+kxy4-2xdx+(3xy2+20x2y3)dy=0

Q: Find Duf at P. f(x, y, z) = 3x²y³z³; P(1, -1, 2); 2 2 -k 3 u +

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

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

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Q: 01

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

A: The given differential equation

Q: Graph the following equations and explain why they are notgraphs of functions of x.a. |x| + |y |= 1…

A: Given data:- (a);  x+y=1 (b); x+y=1

Q: Write an equation for each line. 15. through (2, 2), y-intercept 10

A: since you have posted multiple questions i can do first question as per our company guidellines.…

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: indi the derivative  y=arctan² (x³)

A: Given,   y=arctan² (x³)    Find derivative of y

Q: what is increasing function?

A: Increasing function It's constantly rising. The trail we're on occasionally slopes uphill,…

Q: Eliminate the arbitrary constants of y=c₁e*+cx*— sin3x

A: We use differentiation to Eliminate the arbitrary constant, we differentiate the given equation as…

Q: Which of the following equations is NOT a variable separable differential equation? A. 2xydx + (x² +…

A: A Separable differential equation is any equation that can be written in the form of dydx =…

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

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Q: Prove that:

A: Given, nr=nn-r

Q: 7. Find (a) the slope of the c y=9x² -1; P(4,143) (a) The slope of the curve (Type an integer or a…

A: solution:-y=9x2-1slope= dydx=ddx9x2-1=18x(a)slope of tangent at point P(4, 143)slope = 18(4)=72

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: Find all points where the function is discontinuous. OA. x=0 OB. x= -2, x=0, x=2 OC. x= -2, x=2 OD.…

A: Given query is to find the points wherw function is discontinuous.

Q: the space curve (t) = (2t, t², 2t)

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Q: X lim x0√1 + 8x - 1 ||

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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: lim h→0 f(−4+h)-f(−4) h

A:

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

A: (A) Here by the square of the term (1-dy/dx)² we get the term (dy/dx)² which makes this differential…

Q: Which of the function is not an exact equation of the first order? A. (e³ + ycosx)dx + (xe³ + sinx +…

A: We have to find which of the following function is not exact. We

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: Evaluate the piecewise function at the given values of the independent variable. (a) f(-2) (b) f(0)…

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Q: Question 1. Find the solution of the following differential equations (i) cos²x sin x + (cos³x)y = 1

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Q: Rewrite the following expression in terms of exponentials and simplify the result. (cosh 3x - sinh…

A: We need to rewrite the given expression in terms of exponentials.

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

A: To find IF

Q: What is the value of k so that the differential equation (y³ + kxy4 − 2x)dx + (3xy² + 20x²y³)dy = 0…

A:

Q: Hint: Use the half-angle identity cos² solution X - 1 (1 + cos2x) + C

A: Given query is to find the value of the integral.

Q: 5. Logarithmic Differentiation Method (a) Let y = n. Compute dy by using logarithmic…

A: solutions:-(a) y=xlnxtaken log both sideslny=lnxlnxlny=lnxlnx=lnx2differentiate both sides w.r.t…

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: (6) ft sin 2t dt.

A: We need to find out the integration.

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

A: function f(x, y), if it can be written  by writing x = kx, and y = ky to form a new function f(kx,…

Q: In order to expand (x3 - y4)5, I find it helpful to rewrite the expression inside the parentheses as…

A: Given data:- The given expression is, x3-y45

Q: 6. Use the function and the accompanying fig following questions. a. Is f defined at x = 2? O No O…

A: Given query is to read the graph and check about the behaviour of the function on x = 2.

Q: Determine the solution of the differential equation: (3tanx-2cosy)sec²x dx + tan x siny dy = 0

A: I am going to solve the problem by using some simple calculus to get the required result of the…