Given the plane л: 2x + y - 3z - 2 = 0, and the lines l₁: 2 - Z-4 y-1 x+1 x==¹=24 and ₂: *1 = y -2=2=3 2 2 3 4 Find a set of parametric equations of the line containing the point P(1, 0, -2) and which is perpendicular to . Find the equation of the plane containing ₁ and ₂. Find the distance between ₁ and ₂.

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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A: We have to choose the correct option from the given options according to the given information

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Q: Let F(x,y)=3+sqrt(1−y^2). 1. Evaluate F(3,1).F(3,1). Answer: F(3,1)=F(3,1)=  2. What is the range…

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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: To solve for the value of constant C in  the equation: 2x+3y'=y+2x+312when x=-1, and y=0.

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: dP Which among the choices is the same as the differential equation = P(C₁-C₂P)? dt A. dP dt B. dp…

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

A: It is linear differential equation.so we find integrating factor

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

A: The given differential equation

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A: Given :A political scientist surveys 39 of the current 100 representatives in a state's legislature

Q: what is odd function?

A: Function:- As a number of inputs with one output for each, a function is defined as a relationship…

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: Find the limit. 1 2) lim X-2 x+2

A: Find the limit

Q: The integrating factor (IF) of the equation y' - 2ycot2x OA sin2x OB. cot2x OC.Lnsin2x OD. CsC2x OE.…

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Q: e Monday by Question Use the formula 8x7 4+x4 Include +C in your answer. to evaluate Provide your…

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

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Q: Which of the equations below is a second order nonlinear differential equation? A. B. D. E. 2 x²y-…

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Q: Find the 2nd derivative F(x) = 5e^2x F(x)= 3e^-x + 2e^4x

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Q: Use the Binomial Theorem to expand the expression (x3 + x-2)4 and write the result in simplified…

A: Given data:- The given expression is, x3+x-24

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

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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 OA. sin2x OB. cot2x OC.Lnsin2x D.csc2x O E.…

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Q: 38. Critical Thinking How many students receive each grade? Each student receives a grade of A, B,…

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Q: Determine the solution of the differential equation: dx dy y 4² + X y

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

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

Q: √6 + 2x² lim x→∞ 6 + 10x [ZX][][+] [94] lim x-→-8 6 + 10x || ||

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

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Q: 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…

A: given    y(x+y+1)dx+x(x+3y+2)=0

Q: Obtain the differential equation whose general solution is y = C₁ + c₂e³x₁

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Q: which is what in decimal form?

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Q: dy What is the IF for solving the linear equation: x dx O O O O A. 3 X2 B. 3x 2 C. 3 -Lnx D. E. 3x e…

A: It is linear differential equation

Q: 1. Given the vectors a³ = (2, −1, 3), b` = PQ` where P(1, 1, 1) and Q(5, 1, −1) and c³ = i̇ + j³ +…

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Q: 11 11 Given "f(x)dx = 34 and g(x)dx = -5, find the following: ₁₁ [4f(x)-3g(x)]dx 11 O -151 O 151 O…

A: We have, ∫-411fxdx = 34∫-411gxdx = -5 To evaluate: The value of ∫11-44fx-3gxdx.

Q: The integrating factor (IF) of the equation y' - 2ycot2x OA. sin2x OB. cot2x O C. Lnsin2x OD. CsC2x…

A: To find the integrating factor IF of the following equation,y'-2y cot2x=1-2x cot2x-2 csc2x

Q: What is the standard form of this linear equation in one variable: (y + 1)dx + (4x − y)dy = 0? None…

A: Given (y+1)dx+(4x-y)dy=0 Multiply both sides by 1(y+1)dy (y+1)dx(y+1)dy+(4x-y)dy(y+1)dy=0…

Q: Find the term indicated in the expansion (x2 + y3)8; sixth term.

A: Given: The given expression is: (x2 + y3)8 Formula Used: The Binomial expansion: a+bn = C0nanb0 +…

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: Solve for the IF of the equation y(x + y + 1)dx + x(x + 3y + 2)dy = 0 O A. B. ey eLny OD.y O E. None…

A: To find the integrating factor.

Q: A projectile is shot straight upwards. It's approximate height above ground t seconds after it is…

A: NOTE: Refresh your page if you can't see any equations. . the given table is  t 2 5 7 11 13 H…

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,…

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Q: Use the Binomial Theorem to expand the binomial (c + 3)5 and express the result in simplified form.

A: Given expression:- c+35

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A: Pressure is inversely proportional to volume , take k as constant   for P = 50 kpa , and V = 0.103…

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