Find the general isolation of the following: 1. (x³y³+1)dx +x+y²dy=0

Q: lim h→0 (e) cos( 4 + h) h 1

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Q: The differential equation 2ydx-(3y-2x)dy=0 is Exact homogenous and linear O

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Q: 2. J īdx 3 (x+2)+-(x+2)²

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Q: Represent the plane curve by a vector-valued function. x² + y² = 36 r(t) = (No Response) Need Help?…

A: The plane curve x2+y2=36

Q: Q2: Solve the following first-order differential equation x.e +y.- = 0 for y(0) = 1; x = 0. dx (2)…

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Q: Convert the rectangular coordinates to polar form (√8,√8) (4,5) (√2,72) Option 4 O (2,37) (4,5)…

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Q: Solve the equation. dx 2x1² dt **** An implicit solution in the form F(t, x) = C is =C, where C is…

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Q: √y Find the mass and the center of mass of the lamina with density 8(x, y) = - x² +1 the rectangular…

A: Please see the below picture for detailed solution.

Q: Calculate the derivative of y with respect to x. Express derivative in terms of sin (y³) (Express…

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Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable.   lim x→∞…

A: The given limit,      limx→∞1+axx, for some constant 'a'

Q: Sketch the plane curve represented by the vector-valued function and give the orientation of the…

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Q: Evaluate the following expression. Your answer must be in exact form: for example, type pi/6 for DNE…

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Q: Find and classify the critical points of f(x,y) = 4r+20² - y²

A: Find and classify the critical points of f(x,y)= 4x+2x2-xy2.

Q: Solve DU 112 dx 4x+3 x³ + 2x² + x

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Q: Question 2 Consider the point P(-2, 1, 4) and the vectors a = and 6=. (a) Find the unit vector u…

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Q: Determine whether the set, together with the indicated operations, is a vector space. If it is not,…

A: We have to choose correct option.

Q: Locate the stationary point of the function z = 3x² + 4xy + 3y² (solve) Saddle point Maximum point O…

A: To locate the stationary point of the given function.

Q: The general solution of the DE+4-5y=0 y= Ae* + Be5x Option 2 O y = Ae* + Be-5x y= Ae* + Be-5x Option…

A: We have to find the general solution.

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

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Q: The value ff*(x+y+z)dzdydx is (solve) 3/5 O 5/8 O 2/7 O 7/8 O

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Q: Is W a subspace of the vector space? If not, state why. (Select all that apply.) W is the set of all…

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Q: approximation with 5 subdivisions. 3 2 1 2 3 4 5 6 7 P∞ot 8

A: solution is given below

Q: Convert the rectangular coordinates to polar form (√8,√8) (solve) (4,5) (4,5) Option 3 O (√2,75)…

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Q: Calculate the tripe integrals SSS xyz dxdydz where B é the block 0≤x≤2; 0 ≤ y ≤ 1; 1≤z≤2

A: We have given in question, triple integration of xyz with respect to x, y, z

Q: Q6: Find A-1 where A [1 -1 3 6 12 1 0 -2 4

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Q: Evaluate € 11/² 2xz dV where E = {(x, y, z) | 2 ≤ x ≤ 3, x ≤ y ≤ 2x, 0 ≤z<x+3y}

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Q: Differentiate the given series expansion of f term-by-term to obtain the corresponding series…

A: We need to find f'(x).

Q: Find the line integral of the vector field F= over the curve C which is the quarter of the unit…

A: To evaluate the line integral of given vector field over the curve C.

Q: The definite integral is equal to O 2 [²x Select one: 4 O f₁²₁x² dx + ₁ + x² dx none of the others ○…

A: ∫02 x2dx here we have to find equal to this. split the integral into two  use formula  ∫a  b f(x)dx…

Q: Problem 2. Find the area between these curves: (a) f(x) = 5x-2 and g(x) = 4x + 1 on the interval…

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Q: Question 1 Let a = 2i − 3j + 2k and b = i − 2j – k. - Determine whether the vectors a a) and b are…

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Q: Let f(x)=(3x(^2) -4x+5)(^100) -((2x+1)/(x-3))^5. Calculate df/dx

A: We can find the derivative as below.

Q: Consider the following graph on the interval ریہ 150 -120 -90 -60 - 150° < x < 90°: 1. What is the…

A: Solution :general equation of graph y=AtanBxperiod=45°--45°=90°=π2period =πBπB=π2B=2B=2y=Atan2x

Q: Solve the differential equation by variation of parameters. y" + 2y + y = et In(t) y(t) =

A: The given differential equation is; y''+2y'+y=e-tln(t).

Q: Please solve for part a of the problem provided in the photo below

A: Use partial derivative

Q: Sketch the region enclosed by the curves and find its area. 1 y = 2 √1-25x² Y NOTE: Enter the exact…

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Q: Find the order 3 Taylor polynomial T3(x) of the given function given. Use exact values. 3 f(x) = (5x…

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Q: Solve 4x - 5 = 19. O A. x= 10 OB. X=6 OC. x= 3.5 OD. x=8

A: We can find the answer as below.

Q: The data given in the Table below is produced from a Linear Difference Equation model of the form: Y…

A: To find the value of a and b and then the value of linear model.

Q: 25 x4+X'+2x х4 +X3+2x2+3x-2 x2-3х +2

A: We need to evaluate: ∫x4+x3+2x2+3x-2x2-3x+2…

Q: c) graph of Estimate the area under the f(x) = √√√x from x = 0 to x = 4 using four approximating…

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Q: Use the integral test to determine if series converges or diverges by solve Σ 11 ne 22 The series…

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Q: Use logarithmic function to find dy/dx, if y=(x^2+5)^sin (2x)

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Q: 1₁ f(x)dx = 6 ln([x]) - 6 ln(|x]) — -—-cos(5x). -cos(5x) - 3e + x² + 6x + C

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Q: determine whether the given series converge or diverge. 20. (-0.99) ¹+1 n=5

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Q: Work Problem 2 [ 31 (a)[3 Find a vector equation and parametric equations for the line that passes…

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Q: a) Find all values of x where the function is discontinuous, and (b) graph the given function f(x) =…

A: Here, the given function is: f(x)=2x+2            if x≤0x2-2x+2   if x&gt;0

Q: a) [1 : Evaluate 2 6 (x + 2)√√x - 2dx

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the average value of f(x) = Enter the exact answer. fave = x (6x² + 5)² over the interval [0,…

A: Avg value is given by below

Q: Approximate the area under the curve y = x² from a = 3 to x = 6 using a Right Endpoint approximation…

A: Follow the procedure given below.