Q3: Solve the following differential equation by using Variable Separable Method: (y² +1) ecosx y² dy cotx cosx dx

Q: Use the quotient rule to find the derivative of the following. 2 x²-5x+1 y= 2 X +5 y'=0

A: derivative

Q: Verify that the Divergence Theorem is true for the vector field F on the region E. Give the flux.…

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Q: A large tank is filled to capacity with 600 gallons of pure water. Brine containing 2 pounds of salt…

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Q: Q4) find the soluation of differention equation using exact equation 1) (1 + x²)dy+(2xydx)=0

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

Q: 3 Q4) Suppose a class contains girls, and boys. Suppose that 40% of the girls have long hair, and…

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Q: * Find dy/dx for the function_y=2 sin(3x) cos2x 4 sin (3x) sin (2x) - 3 cos (2x) sin (2x) O 6 cos…

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Q: Find the general solution of the given differential equation, and use it to determine how solutions…

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: [1 if A= 2 13 23 2 1 -2 find det (A) if 3 3 -1. 6 O 38 O 16 O 18 O 48 O

A: The solution is given in the next step.

Q: In a certain region there is a uniform current density of 15.0 A/m2 in the positive z-direction.…

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Q: 9+5d = 35-6 int equation (11) from To - 113 = 9+126 = 77

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Q: Suppose that the piecewise function f is defined by Determine which of the following statements are…

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question.Please…

Q: IF A [-3 6 -2 3 3 0-3 0 0 12] 06 3-6 -3 0 121 60-6 3 6 6] Option 5 6. Option 4 The Cofactor Matrix…

A: First we will understand  the term and then solve it.

Q: Find all vertical asymptote(s) for f(x) = r answers using limits. = √√7-√√3-x |x +41 (x2)) ●

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Q: Evaluate the limit. lim (x,y) → (-5, -20) y² - 4xy y - 4x

A: Solve the following

Q: Solve the given differential equation. All solutions should be found. dy 3x² - 4y - y³ = dx 4x +…

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Q: ſº 5u³ – 3u³ – 9du

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Q: J (tanᎾ - 1)2 dᎾ

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Q: Approximate the following integral using Simpson's rule. Experiment with values of n to ensure that…

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Q: * Parallel lines have the slope (m1x m2 )= -1 true False O

A: Given question:- Parallel lines have the slope (m1xm2) = -1

Q: السؤال الثالث Question Three * Q3. For the motion vector r(t) = et cost i + et sint j , find: (i) N…

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Q: Find the equation of the line L2, pass through the point (2,-1) that is parallel to the line L1…

A: The line L2 pass through the point 2,-1 that is parallel to the line L1: 2x+4y=12

Q: find the area.  x^2=8y and x=y+1

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Q: Q:3) A) Test the following surface for maxima minima and saddle point: Z=5+xy+x²+2y+3x

A: See this solution in below

Q: 1 A large tank is partially filled with 100 gallons of fluid in which 40 pounds of salt is…

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Q: * Find dy/dx for the function y=2 sin(3x) cos2x 4 sin (3x) sin (2x) - 3 cos (2x) sin (2x) O 6 cos…

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Q: Find the average of two numbers (x1, x2) and print" pass "if the average is more than 50 and "not…

A: Given numbers : x1,x2  Average  of number = (x1+x2)/n                 where n=2

Q: Multiply the following fractions using the array model method described in the video lesson. Make…

A: First we will understand the process and then solve it.

Q: Find the general solution of the given differential equation. xdy+3y=x²-x dx y(x) = Give the largest…

A: The objective is to solve the above question.

Q: Complete each of the following problems showing ALL your work. Answer the following questions…

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Q: Determine whether the differential equation (7x² - 2xy + 6) dx + (7y² − x² + 7) dy = 0 is exact. If…

A: The differential equation,    7x2-2xy+6dx+7y2-x2+7dy=0

Q: Solve for x. log 3(2x-5)=3

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Q: Find the derivative of the function. f(s) = √5-1 √5 +3 Choose the correct answer below. 2 O A. √5…

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Q: B) Evaluate the line integral of the function P(x,y) dx + Q(x,y) dy. over the curve C where…

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Q: Q.3. If (4x + 5y + 7z = 14) is equation of a plane and (x = 2 + 2t, y = 1- 3t, z = 2 + t) is…

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Q: The height y (in feet) of a ball thrown by a child is 1 -x² + 4x + 3 y = 16 where x is the…

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Q: Calculate the work (in joules) required to pump all water out of a full tank. Water exits here. d b…

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Q: Answer true or false? A function is not a function but is defined on a function space true Ofalse

A: Solution )  a function defined on the function space  Function space is set of function between 2…

Q: 11. A hockey player, on left defense, is about to take a shot on net. The net is 1.83m wide. The…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate…

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Q: A parallelogram of rectangular surfaces has a square base and its volume is always 108 cubic…

A: Given information

Q: for the volume below...if Cylindrical Shell method was used ...What are the limits of integration? *…

A: use cylindrical shell method   V= ∫ab2πrh dx   where r= radius of cylinder             h = height of…

Q: A manufacturer's total cost equation per day is given by the equation TC = 440+4q+,00010². If each…

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Q: In this problem, y = c₁e*x+c₂ex is a two-parameter family of solutions of the second-order DE y" - y…

A: The given differential equation is;  y''-y=0, y(-1)=6, y'(-1)=-6.

Q: A particle start from the point (4,4) and it's coordinates change by the increment AY=5 and AX= -8…

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Q: Evaluate the following integral. 3 5x(x - 3)dx 0

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Q: 8 hp zh6 S

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Q: S₁ y² – 3ydy 11

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Q: Q1) find the critical point of the following equation - g(x, y) = x² + y² + 2xy − 6x - 3y + 4

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Q: Find the indefinite integral on the domain of positive real numbers. Enter an exact answer. Remember…

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