(-2,4) y 2 у = 4 − x2 -

Q: 4. f(x,y) = x² + 3xy x-24

A: We know that degree of each terms are equal then given function is called homogeneous function.…

Q: A tank originally contains 100 gal of fresh water. Then water containing lb of salt per gallon is…

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Q: Solve the differential equation 4. xdx e-x + (Y+) dy y³

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Q: x³+4x²+x-6 3 sin(-x)+3x² et f be the function defined at f(x)

A: Function

Q: X- 1.Find the area bounded by y=sin(sin x), the and x = π 2. axis and the lines Find the area…

A: I am attaching image so that you understand each and every step.

Q: f(x) = y 9 8 7 6 5 4 3 2 x + 5 J 5 6 7 8 X 1 2 3 4 Describe the interval(s) on which the function is…

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Q: 6. Let f(x) = -5x¹ and g(x) = 2x + x. If h is the function defined by h(x) = f(g(x)), which of the…

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Q: 3.Find the differential equations for each familyof curves under the following conditions:…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Q6. Let O(0,0), A(1,0), B(1,4) be points in the plane R². Then the following point lies in the…

A: I am attaching image so that you understand each and every step.

Q: [-1 -1 Using Doolittles method for the following matrix A = 0 L-2 -2 L - matrix and U - matrix. 2 11…

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Q: Find the DE of a family of circles with center at (1,-2).  Hint: Equation

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Q: Need this in complete and handwritten solution, thank you! Find the Differential Equation of the…

A: We have to find the differential equation of the Family of Ellipses with its center at the origin.

Q: Q2: Find dy/dx for the following functions:- (1) y = x³ Inx (2) y=√sinh √tan x (4) y=u=3x²-2 (3) 4x²…

A: As per guidelines we can answer only three subpart questions at a time, so if you need more answers…

Q: Determine the infinite limit limx→2− x^2 − 2x/ x^2 − 4x + 4

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Q: Write the interval of continuity for the function below: tan(cos(x)) log6 (7) f(x) = for 0x< 2π

A: The given function is: f(x)=tan(cos(x))log6xπ

Q: Topic: Differential Equations Please find the general solution of y'=cos2xcosy  Required: Complete…

A: I have stated the used formulas in the solution.

Q: find the Laplace transform of the given function f(t) = 20 cos(mt) (3<t<6)

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Q: 1. The slope of the perpendicular line 3x+6y=2 is a. m' = 2 b. m² d. m' = -2 m' = 2 2. The equation…

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Q: Closed book, closed notes, no calculators. You have to show complete work for full credit; make sure…

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Q: Define as the region bounded by the functions u(y) = 2 and v(y) around the y-axis, what is the…

A: The region Q is bounded by the function u(y)=2 and vy=y24 between y=1 and y=2 The solid formed by…

Q: If the general solution of (2x² − 3y²) y'= 2xyisy “¹n|yº| +xª=Cy", what is the value of b? (A) -1 B)…

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Q: 1 (x²+4)² dx

A: To find out the integration.

Q: III. Find the differential equation by eliminating the arbitrary constant/s. 1. ecos.x = c(1- cos…

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Q: lim x² = 0

A: We can prove the statement in the below steps.

Q: Is there a specific way to identify, analyze and find a solution to inequalities that are rational?…

A: Solution: There is a specific way to solve rational inequalities. Let's take an example of it. Solve…

Q: Verify whether y(x) = 2e-*+xe-* is a solution of y" + 2y + y = 0.

A: Topic = Differential equation

Q: Using continuity, evaluate the limit: - 1 sin(z + sin(x)) lim X→ -

A: Topic- Limits

Q: D. using quadratic formula. 1. x2 + 5x = 14 2. 2x² +8x - 10= 0 3. 2x² + 3x = 27

A: Topic = Quadratic equations

Q: Q6) (E.G.) If AABC~ A EFG, 2A 3EG and the perimeter of AABC is 12. Then the perimeter of A EFG is:…

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Q: L- matrix and U

A: The objective of the question is determine the L- and U- matrix.

Q: B. Find the DE of each of the following by eliminating arbitrary constants. Reduce your final answer…

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Q: Which statements are true about matrix A if a ‡ 0 and a² #b²? b b a A = a [8 There is a unique…

A: Please see the below picture for detailed solution.

Q: Show the complete solutions. Family of circles centered at the line y = 2x. Ans: y" (y-2x) + 2(y')³…

A: To find out the differential equation for the family of circles having centre on the line y=2x.

Q: Evaluate the following Limits: 3√√x6+8 4x²+√3x4+1 1. lim x-00 2. lim X48 3. lim X-4 1 1 1+ 2x…

A: note : as per our company guidelines, only one question can be solved. kindly post other question as…

Q: A There is no correct answer from among the given choices. differential equation by separation of…

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Q: (b) Let f(x)=√x and g(x) = 2x+5, find: (1)fog(x) (2)gof(x)

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Q: The point P(1, 0) lies on the curve y = sin( (a) If Q is the point (x, sin(¹3″ )), find the slope of…

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Q: Change these fractions into decimals. Express each answer to three significant figures. Be sure to…

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Q: (a) Find the point at y = x³ + x, if the slope is equal to 4. Then find the equation of tangent…

A: I have stated the used method in the brackets

Q: plane

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Q: Find the following limit. 1 x+6 Provide your answer below: 1 3 lim x--3 x + 3 Give your answer as a…

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Q: 1. h(x) = √4x²

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Q: Evaluate the limits given the following information: lim f(x) = 6 lim g(x) = -9 24-6 x--6 a) lim x 6…

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Q: 3. Calculate the following limit analytically or show that the limit does not exist. Re- member to…

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Q: If A = 1=1 ²₁₂ 21₁B =[ ²¹/₂ 3 b) B.A c) A-2B a) 3A-C 3] -2 = [3²5] 4J and C= Find:

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Q: f In dx

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Q: 2+2x-1 dx x³-x

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Q: Find the limit using direct substitution. x-4-2 lim X-13 X

A: Find the limit using direct substitution limx→13x-4-2x=?

Q: = Suppose that f and g are functions where f(- 9) = -5 and g(0) be on the graph of y = f(g(x))?…

A: We have, f-9 = -5 g0 = -9 The function is, y = fgx                                .............1 To…

Q: Solve ydx + (dy - 3dx)√(1-x²) = 0

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