Find a differential equation that corresponds to the given direction field. Consider differential equations of the form y' ay + b.

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Q: Let f(x) = 2x? – 7x + 11 The slope of the tangent line to the graph of f(x) at the point - (5, 26) i...

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Q: Find the inflection points of each of the given curve.  y = x3 – 3x2 + 4

A: ⊙a function y=f(x) is said to have inflection point at x=a, if its second derivative i.e. d2ydx2 cha...

Q: valuate the integral by making appropriate u-substitution anc an pplying any necessary formula(s). x...

A: I =∫ x 6-x2 dx-x2 = u-2x dx = dux dx =-du2Hence,I =-12∫ 6u  du

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Q: 28. Evaluate eš dx and determine its particular antiderivative whose x-intercept is ln 3. 1 e3x – 3 ...

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Q: ydx+(2x+3y)dy=0 solve by using homogeneous equaations

A: We know,∫dxx=ln(x)   Given differential equation, ydx+(2x+3y)dy=0 ⇒dydx=-y2x+3y....(i)  

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Q: -5 -4 -3 -2 -1 -2 -4 Find the following. lim f(x) = lim f(x) lim f(x) = f(1) =

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Q: 1 dx x/1+ x6

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Q: A raindrop falls with acceleration 9.8 m/sec² , where "v" is its velocity. What is the raindrop's ve...

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Q: 1.3 + j4 2. –3 + j4 3. –3 – j4 4. 3 - j4

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Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. (1-4) an = tan-1...

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Q: What is the particular solution to the differential equation x(x³ – xy² + 2y³)dy – y(x³ + 2y³)dx = 0...

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Q: The number of bacteria "N" present in a culture increases at a rate proportional to the number prese...

A: Topic:- function

Q: ydx+(2x+3y)dy=0 solve by using homogeneous equaations

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Q: Find the derivative of y(x) = In (9(ln(x))’). (Use symbolic notation and fractions where needed.) dy...

A: To find the derivative of yx=ln9lnx7.  

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A: To evaluate: I=∫dxex...(1)

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Q: Use any method to determine whether the series converge. 1 (a) E 'k² + 15k + 1 This series diverges....

A: To check the convergence of the given series.

Q: Find the equations of all tangent lines to the graph of y=x -7 x+ 49 that pass through the origin (0...

A: Equation does not passing through origin.  Hence there are no tangent line whose passing through ori...

Q: [1] S dx x+Vx

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Q: Answer 2 only

A: In this question we will use basic concepts of calculus i.e concepts of integration. Solution of the...

Q: Find the value or values of x for which the curve of the following functions has a point of inflecti...

A: Given, y = (x – 1)4 (x – 6) We can find inflection point by finding second derivative and equating i...

Q: Question 3 Evaluate dt A 313-1+C B 12-1+C c) 312-t+C D 312– 31+ C

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Q: Newton's law of cooling states that the temperature of an object changes at a rate proportional to t...

A: We have to find the differential equation of the Newton's law of cooling.

Q: 16

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Q: Find and classify all critical points of the function f (x, y) = x* + y* - xy. 4(0) = 4 (010) D= 12(...

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect ...

Q: A fuel tank is being designed to contain 200 m3 of gasoline, but the maximum length of a tank (measu...

A: We have to find the height and radius of the fuel tank which costs minimum using differentiation.

Q: 9. Sze4z²dz

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Q: ax²ª (x2a+1)°dx

A: Given,           ∫ax2ax2a+13xdx

Q: 1. Determine whether the sequence converges or diverges. If it converges, find the limit. 52n + 5 (a...

A: The given sequence is: an=52n+510n+5n+10

Q: Evaluate the following integrals: 1. fx² ln x dx

A: As per our guidelines we are supposed to answer only one question.kindly repost others question as a...

Q: What value(s) of d are an appropriate choice when proving the following limit? lim (4x + 6) = 30 x→6...

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Q: 4 sin320 cos20 d0

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Q: Find a number a so that the tangent lines to y= x° + 11x +x + 13 at x = a and at x = a+ 1 are parall...

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Q: 1. Is the following expression a scalar, vector or meaningless? lä|ab

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Q: You want to plant a rectangular garden along one side of a house, with a picket fence on the other t...

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Q: 1.) Suppose p > 0. What is the relationship between n=1/i da and n+1 dx? Make sure to justify your a...

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Q: Use the graph of f(x) shown below to determine each of the following limits. If any of the limits do...

A: Let's find. 

Q: Evaluate the following: 4dt 5. 5t+ 2 1.

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Q: Use the second fundamental theorem of calculus along with the chain rule to find d sint dt dx 1 o si...

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Q: Consider the following. cos(x) + Vy = 3 (a) Find y' by implicit differentiation. y' = (b) Solve the ...

A: Derivative

Q: cos(2x) dx sinx+cosx dx Vex

A: Find your answer below 

Q: Find the length parameter of the curve r(t) = with base point at ( 7, 0, 0 ).

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Q: I-4, I 2 %3D undefined b. 2 x C-2 d. does not exist

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Q: Given the function: f(x, y) = 3x°y² – 72²y+ 5x – 4y Find the folowing: show complete solution fzy(x,...

A: Given:      fx,y=3x3y2-7x2y+5x-4y   a) fxyx,y:     fxyx,y=∂2∂y∂x=∂∂y∂∂x      fxx,y=∂∂x3x3y2-7x2y+5x-...

Q: If h(x) = 5 – 4x", find h' (2). Use this to find the equation of the tangent line to the curve y poi...

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