4.2.2. Find the integrating factor by inspection then solve the following differential equation. Show your solutions. y(x2 + y2 - 1)dx + x(x2 + y2 + 1)dy=0

Q: The graph of } = xe-r is symmetric with respect to the Origin None of these the x-axis the y-axis

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Q: 1) Find any relative(local) extrema and saddle points of f(x,y)=x+y^-4xy+1.

A: The given multi-variable function is f(x,y)=x^4+y^4-4xy+1

Q: 10 Let u= (1, 2, -1) and v= (3,-1,2) be two vectors in Rª. Which of the following is a normal vector…

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Q: Sketch the graph of a single function f(x) that satisfies all of the following conditions, labeling…

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Q: Given f(x, y, z) = zey 02 √√3 O 2e² 01-1 √3 O none of the choices 0 0 √3 x sin (3), what is fzz…

A: Differentiate and put the appropriate values.

Q: Calculate the differential equation dy dt and (i) Show and 3 y (π) 2 general solution + 3t² y = cost…

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Q: Find the area of the region bounded above by y = sin(x) and below by y = cos(x 2 1.5 4 0.5+ X

A: Using horizontal /vertical strip

Q: If f' is positive and increasing over an interval I, which of the following is true about the graph…

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Q: Which of the following represents the symbol for the indefinite integral? S dx dy b a Σ

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Q: 8. 1 (1+x)√√x / dx

A: We have to find out integral

Q: 5 Sketch an angle 0 in standard position such that 0 has the least possible positive measure, and…

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Q: Let f denote a piece-wise defined function whose graph on the closed interval [-3,3] is shown below:…

A: we have given the graphf will be decreasing in itervals where its slope is negativewe can observe…

Q: Question 2 Evaluate: Express your answer in three decimal places. limx→8 e-2 a-8

A: The objective is to evaluate the limit.

Q: Evaluate: Express your answer in three decimal places. 3x-2 limx→8 2-8

A: limx→ 8x3-2x-8       00 formApply L'Hopital's rule,=limx→ 813x231Plug in the value x=8=13·…

Q: 7 For what value of k are the vectors u Select one alternative: Ok=-1 Ok=-2 Ok=1 Ok=2 (1,-1,-1) and…

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Q: The value of a car depreciates exponentially after it is purchased. In other words, V(t) = 20(0.5)t…

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Q: Given the graph below, what can you say about the function at x = -2? Not Continuous Continuous

A: A function f(x) is continuous at x=a if and only if limx→a f(x) = f(a).

Q: ?z Find the partial derivative of z with respect to x ) for z = (3x² + 1) cos(x²y) дх -2xy' (3x² +…

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Q: 14 Which of the following is the solution to the following system of equations? [1 2 0 11 0 0 1 0 0…

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Q: Determine the volume of the solid formed by revolving the region bounded by x² + y² = 4, y = 3x, and…

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Q: 10 5(5+10) a/n A ナ B 5+10

A: See the details solution in below

Q: 22 Given the cross product of 2 vectors u and vis, u x v= -3i-3j+3k, and their dot product is,…

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Q: A linear combination of of u 3 and v= A on the plane, which one of the following is the equation of…

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Q: Find the area under the graph of x = 4 - y² on the interval [0, 2]. -3 -2 -1 1 2 3 → 1 0 -1 16 3 16…

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Q: Determine whether the series Σn=1 3n+¹ ln(n+1) is convergent or divergent.

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Q: d. y'"-6y" + 12y' - 8y = 0

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Q: Given: xIn y + y²z + z² = 8 Find: дх дz -(x + 2y² z) y(y² + 2z) -y ln y x + 2y² z - In y у2 + 2z -у²…

A: Let's find derivative of given function.

Q: Boyle's Law for the expansion of gas is PV C where P is the pressure (in weight units per square…

A: Follow the procedure given below. Here you have to differentiate with respect to pressure.

Q: A conical vessel is 12 m across the top and 15 m deep. If it contains water to a depth of 10 m, find…

A: We need to consider a section and then integrate accordingly.

Q: y = In x (x-5)ez-1

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Q: Solve this question yey = 1

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Q: What is the lim, 0+ sin(y) In(y)?

A: limy→ 0+sinylny=limy→ 0+lny1sinyBy L'Hopital's rule,=limy→ 0+1y-cotycscy=limy→…

Q: Find an equation of the tangent plane to the given surface at the specified point z = √√√xy, (3, 3,…

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Q: Given the graph below, what can you say about the function at (-1,1)? Not Continuous Continuous

A: The graph of a function is said to be continuous if the value of the function exists for all values…

Q: Suppose you make napkin rings by drilling holes with different diameters through two wooden balls…

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Q: ect the best technique to integrate each function. ® Na'da 5 dx 16 V √ √₂²³-11 ·@fe²√5 + ode x + 7…

A: The objective of the question is matching the given indefinite integral.

Q: An economy depends on two basic​ products, wheat and oil. To produce 1 metric ton of wheat requires…

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Q: 1. Solve the equation 6³x+1 = 22x-3 Leave your answer in exact form.

A: We have to find out x

Q: 12. How much work is done by a variable force F(x) = (40 - x)N that moves an object along a straight…

A: Given that, the variable force is Fx=40-x N the interval is 4,20. Note that, the total work done by…

Q: A triangle is measured and two adjacent sides are found to be 3 inches and 4 inches long, with an…

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Q: Find the general solution of the given differential equation. x²y + xy=5 y(x) = Give the largest…

A: To find the general solution of the given diffrential equation.x2y'+xy=5To give the largest interval…

Q: dx What is , where dy' x³ + y³ = 3xyusing differentiation? implicit dx dy y-x² y² +x dx y-x y²-x dy…

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Q: The trigonometric function is defined by ƒ(x) = 2sin4(x-7)+4 a) tate the transformations and key…

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Q: Find and sketch the domain of the function. f(x, y) - In(4x2 - 4y²) y

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Q: The Shroud of Turin, which shows the negative image of the body of a man who appears to have been…

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Q: 31 Suppose h(x)=¹-42³. Which one of the following is true? Select one alternative: O The first…

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Q: 28 Which one of the following is the co-ordinates of the y-intercept of the tangent line to the…

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Q: Solve the differential equation d²y dx² - 7+12y = 12x² + 7x + 13.

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Q: 1) lim (tan x) cos x X-2

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: What is the derivative of y = sin (x³ – 3x)?

A: