xdy- ydx = 2x(x2+ y²)dx

Q: V3 The slope of the curve y = y -x² at the point V3 is 2 -- 4

A: Follow the procedure given below.

Q: cos (6x4) – 1 Let f(x) Evaluate the 9th derivative of ƒ at x = 0. %| x7 f(9)(0) = Hint: Build a Macl...

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Q: The differential equation (3ycosx+ 4.xe* +2x'e" dx+ 3(sin x+1)dy 0 is exact because OM ON Ox

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Q: Techiefy Co. wants to launch a new product. It is observed that the fixed cost of the new product is...

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Q: Find dy. y=2 In (2+x') dy = D

A: y=2ln(2+x3)  

Q: Implicit differentiation x^3+4x+y^2-3y+1=0

A: x3+4x+y2-3y+1=0

Q: HELP    ME (SOL 3,4)

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Q: Solve for the indefinite integrals of the following functions. Show a COMPLETE set of solution then ...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: Solve ay" + by' + cy solution in 1(a). = 0 again using a power series. Show that your solution match...

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

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Q: A. Evaluate the following integrals of inverse trig functions. dx 1. Evaluate S- x Vx2-n dx 2. Evalu...

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Q: Find the unit tangent vector for the motion of r(t) = .

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Q: The equation of a family of parabolas with axis parallel to the y-axis is

A: We will find the equation of family of parabolas with axis parallel to the y-axis .Below find the ge...

Q: derivative of y with respect to x. y= In (6 In x) dy dx %3D

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Q: . The differential equation (2x³ – xy² – 2y +3 )dx– (x²y+2x }dy = 0 is exact because ƏM ƏN %3D ôx

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Q: Ląsudnhlao203=9m] -03P99E90RO[9U3RM7210 Ud8y(l,ome 301 29u 3 ***#!12ngwe gggd 982eh cc d´y The degre...

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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: (x – a)² + y? = a²

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Q: Find the volume of liquid needed to fill a sphere of radius R to height . R y

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Q: Find an upper bound on the error that can result if cos(æ) is approximated by 1– (x/2!) + (x*/4!) ov...

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Q: Calculate the average rate of change of the given function f over the intervals [a, a + h] where h =...

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Q: Parabolas with axis parallel to the x-axis. Ans. y'y"-3(y")=0

A: To find:- Differential Equation of parabolas with axis parallel to x axis

Q: 5. Exact Diffe re ntial Equation: x(3xy – 4y' +6}dx+(x' – 6x² y² -1dy =0

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Q: (x* – 3e*+ Se²)

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Q: 3. sin 0+sin 0 tan² 0 dº sec20

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Q: The length { of a rectangle is increasing at a rate of 9 cm/sec while the width w is decreasing at a...

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Q: dx 3. (a) Evaluate S (b) Evaluate Jo x²-6x+10' 1+sin x 1 dx

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Q: what is 2x3

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Q: A javalina rancher wants to enclose a rectangular area and then divide it into five pens with fencin...

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Q: SOLUE THE DIFFERENTAL EOMATION 3. D(D + 7D + 19D + 13) y = 0 %3D 11 when x =0,Y=D0,y'=4,4"- -10 find...

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Q: Tell if the function is continuous at given interval f(x)=; 2x +4 |-2,2]

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Q: f(x)= 5.738e0.287x By inspecting the graph of an exponential function, find the following. Note: Rou...

A: The given function is: f(x)=5.738e0.287x Using the graph answer the questions about limit values of ...

Q: Find an equation of the tangent line to the graph of the equation at the given point: f(x) = 3x2 + 9...

A: Tangent line  -  slope of tangent line will be equal to differentiation at that point.

Q: 5. The equation of a family of parabolas with axis paralel to the y-axis is 6. The equation of the f...

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

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Q: Suppose that f(5) = 1, f '(5) = 4, g(5) = -2, and g'(5) = 7. Find the following values. %3D (a) (fg)...

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

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Q: da Evaluate x² V4

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Q: ind the first and second derivatives of the function. 1+ 12z W = (8-z) 4z dw dz dz? 2.

A: Topic:- derivatives

Q: D^(3+1) (D-2)^(7+1) y = 48e^2x

A: Put D=m then solve it. 

Q: Suppose the distance s (in meters) covered by a particle moving along a straight line after t second...

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

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Q: 4. Homogeneous Diffe rential Equation: (r+2y-4y kx-(x' -8ry-4y kdy= 0 Use the substitution x = y = w...

A:   Differential equation  are mathematical tool to define rate of change for whole equation. 

Q: Find a linear approximation to the following function at the point a = 1 y = f(x) = x³ – 5æ4 + 8x3 –...

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Q: (c) h(r)- (r- 2r)(r+) (d) j(r)= COS T 1- sinr *cos2tan r (e) f(r) Page 2

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Q: Direction: solve and analyze each of the following problem in neat and orderly manner. Do this in yo...

A: 7). Given: D4-81y=0 So, The auxiliary equation is: m4-81=0

Q: x3 00 dx = (x* +4)2 0,

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Q: 5. The equation of a family of parabolas with axis paralel to the y-axis is 6. The equation of the f...

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Q: 18. lim 19. lim 20. lim log, x

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Q: Find le mistakes 7. The velocity of a particle moving along the x-axis is given by v(t) = 3e' – 4t. ...

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