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Q: Solve the differential equation. 2y dx = 3xy? dx + x dy When x = 2, y = -2 %3D

A: The standard form of Bernoulli's equation is: dydx+Py=Qyn Where; P & Q is the function of x.   G...

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Q: 3. Separation of Variable s: x(y+1)dx+ dy = 0

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Q: Solve the differential equation. (x + y) dx + (2xy + x In 3x) dy = 0 %3D 1 when x =, y = 2 3

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Q: Direction: Read and understand the statement before answer. Click "TRUE" if the statement is correct...

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Q: The function below has the form f(x) = a · b² + k. %3D 14 Which of the following functions is shown ...

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Q: Instruction: Determine if f is continuous at x = c. Also, determine if f is differentiable at x = c....

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Q: Shen can choose Plan A or Plan B for his long distance charges. For each plan, cost (in dollars) dep...

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Q: Given the position s(t) = 8t² – 7t + 12 of a - body moving in a line, with s in meters and t in sec....

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Q: Direction: Read and understand the statement before answer. Click "TRUE" if the statement is correct...

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Q: Homogeneous Diffe rential Equation: (r +2xy -4y² ktx-(x² -8xy – 4y² /dy = 0 Use the substitution x=2...

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Q: what is 2x3

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Q: 25-32 Use implicit differentiation to find an equation of the tangent line to the curve at the given...

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Q: y The function f(x, y)= (2x* + y* )exp + xy' is homogenous in x and y of degree 2x

A: Follow the procedure given below.

Q: 5. Let, f(x, y) = V5x5y – x²y3 (a) Find the slope of the surface z = (b) Find the slope of the surfa...

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Q: Find the area of the region enclosed between f(x) = x? – x + 20 and g(x) = 2x? – 2x. Area = .. ... ....

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Q: 9. The differential equation (3y cosx+4xe" + 2x'e' dx + 3(sin x +1)dy=0 is exact because aN

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Q: Determine whether​ (a) through​ (c) are​ true, and give an explanation or counterexample.

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Q: 1 3 4 -2 3. 2. 3. 3.

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Q: Homogeneous Diffe rential Equation: (r +2xy -4y \dx- (x² –8.xy –4y² \dy = 0 Use the substitution y- ...

A: A detailed solution is given in steps 2 and 3.

Q: HOMEWORK 12: 1. Find the area of the largest circle which can be cut from a square of edge 5in. What...

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Q: 6. Find the limit of lim -3r+2x-6 Xx-4+6x+9 using table

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. k 1 Σ 6ln k k=...

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Q: 13. y = cos(x), 0 <x<T

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Q: Calculate the following derivative. (Use symbolic notation and fractions where needed.) d (3Vsin (7x...

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Q: Families of Curves: Parabolas with vertex ( h, -3) and it opens to the left

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Q: Consider the polar equation r = 4 cos(0) – 13 sin(0). (a) Convert the given polar equation to a Cart...

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Q: Evaluate the integral . Identify the u and the du. (5x2  +  1 )2  (10x) dx

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Q: Use by parts find r'cos x dx Jo

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Q: Exact Diffe rential Equation: x(3xy - 4y' +6) kx + (x³ – 6x²y² -1\dy=0

A: Check firstly it is Exact or Not.

Q: A ball is thrown in the air from the top of a building. Its height is given by s(t) = –0.6t² + 36t w...

A: Let s(t) denotes height of an object at any time t. Then velocity of this object at any time t is gi...

Q: Solve the given differential equation (3x+y- 2) da + (x +y + 4) dy = 0 O 3(x – 3)2 + 4 (2 - 3) (y + ...

A: Given differential equation, (3x+y-2)dx+(x+y+4)dy=0 So, dydx=(2-3x-y)(x+y+4)....(A)

Q: 2. Families of Curves: Parabolas with vertex ( h, -3) and it opens to the left

A: Let's find. 

Q: 3. Separation of Variables: x(y+1)dx+ dy = 0

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Q: Simplify the expression: 3(1 + 7g) %3D Submit

A: Given :3(1+7g)

Q: f(x)= 5.738e0287x By inspecting the graph of an exponential function, find the following. Note: Roun...

A: The given function,      f(x)=5.738 e0.287 x

Q: e - a) + ? = α a²

A: See the details solution in below

Q: S sin(1 – 2x)sin(2x + 3)dx

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Q: lim log2 ( – &r – 1) 8x – -1) x→-5

A: To evaluate the given limit , substitute  x= -5  in the given expression.

Q: Let R be a region bounded by the curves y = r and y = 4x – x². Evaluate (r+ y)dA.

A: Given: I=∫∫Rx+ydA And y=x2 ; y=4x-x2 Now find the point of intersection between the curves; x2=4x-x2...

Q: Find the area of the surface generated when the curve y = x2 from x = 0 to x = 3 is revolved about t...

A: Let's find. 

Q: Question 2 Consider the equation 3xy + y? – 2x = 1. Find dy - dx Зу— 2 За + 2у - O 2– 3y 3x + 2y Зу ...

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Q: Find an equation of the tangent line to the graph of the equation at the given point : y = 16 – x² ;...

A: The given equation of the graph is y=16-x2 and the point is (3, 7) . We have to find the tangent lin...

Q: 4. (D² +D-1)²y = 0 ,when x= y = 0 , y' = y" = 1, y" = -1

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Q: HELP    ME (SOL 3,4)

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Q: 4-ху Find lim if it exists, or show that the limit does not exist. (x,y)→(2,1) x²+3y2

A: Given :lim(x,y)→(2,1) 4-xyx2+3y2

Q: Suppose that you are told that the Taylor series of f(x) = x*eª´ about x = 0 is x10 + + 2! 3! + Find...

A: Given the Taylor series of f(x)=x4ex2 about x=0 is x4 + x6 + x82! + x103! + x124! + ⋯   We know that...

Q: Find fr and f, for f(x, y) = 3x³ + 4x²y+ 4xy² + y? Select one: O a. fa = 12x? = 9x? + 8xy + 5y², = 9...

A: Given -  f(x,y) = 3x^3 +4x^2y + 4xy^2 + y^2 To find fx and fy.  

Q: Find an equation of the tangent line to the graph of the equation at the given point : g(x) = x³ + 3...

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