xydx – (x+ 2y)² dy = 0 b.) -

Q: x^2y=4+Cy Eliminate Arbitrary Constant

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Q: What is the equation of the directrix of the parabola x2 + 2x+4y– 27=0? A y=8 B y=0 (© y= -2 D y=6

A: Solution ) x2 + 2x + 4y - 27 = 0 Add 1 and subtract 1 in equation  x2 + 2x +1  - 1  + 4y - 27 = 0 (x...

Q: Solve the following Linear Equations 1. x+7=11 2. n-3= 10 3. y+8=4 4. 8y = 48 5. 1- -4 6. 15 =4 7. -...

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Q: 3sin4t dt 2. 5(1- 3cos21)

A: We have to find integral

Q: Give the equation of the directrix of the parabola with the equation x= - (v+3)². Blank 1 Blank 1 Ad...

A: Given query is to find the equation of the directrix for the parabola.

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

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Q: Find the volume generated by revolving the region above the curve y=x3 , under the line y=1, and bet...

A: Given: y=x3, y=1, x=0 & x=1 From the given curve the bounded region is as shown below: Apply th...

Q: 6. radians 7. radians 8. radians 2 3n radians 9. 10. 2n radians Example: -135' (OD)

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Q: Find the orthogonal trajectories of the given family of line y = Ce-mx with m held fixed. %3D

A: Given: y=Ce-mx

Q: Length of a Curve Find the length, L, of the curve given below. 6t4 – 1 dt, 2 < a < 3 2 L

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Q: f (x) = 2x? + 10, g(x) = 4x + 16

A: Topic:- geometry

Q: on - Homogenous: To be considered Homogenous, the differential equation must be equal to ependent va...

A: We are asked to find the  non homogeneous second order euqation.

Q: 2. x*dy +(2.xy – y° )dx = 0 Let the substitution v=2; y=vx; dy= vdx + xdv

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Q: Suppose y = (x² + 5)³. (a) Find the differential: dy dx. (b) Compute the differential when x dx 2 an...

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Q: A scientist places 2222 mg of bacteria in a culture for an experiment and he finds that the mass of ...

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Q: 1 (i) lim 3n2 – 4000 のlim(- 2n2 +10000 X00

A: Topic:- calculus

Q: Find the orthogonal trajectories of the family of circles through the origin with centers on x axis.

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Q: Evaluate the integral. t2 sin(2t) dt

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Q: One the first day of class, a professor asks each student what country they are from orginally. What...

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Q: Question 19 Find the focus of the parabola 4x +24=8y-y?. A (-1,– 2) B (-3, 4) (-음4) D (-6, - 2)

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Q: Sketch the region bounded by the graphs of the equations and find the area of the region. y = cos x,...

A: The region is bounded by y=cos x and y=2-cos x, 0≤x≤2π

Q: In Exercises 1 – 3, find (a) shape, (b) amplitude, (c) period, (d) width, (e) shift, (f) (x,), T1, x...

A: Given: (1)     fx=3 tanπ x-2π3-2 (2)    fx=-3cot2x-π3+1

Q: The half-life of carbon-14 is 5730 years. A frozen human mummy was discovered in a glacier. It was e...

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Q: "J-Hope" PROBLEM SOLVING A bacterial population Z is known to have a rate of growth proportional to ...

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Q: Finding the area of a surface of revolution. Area of a surface of revolution for y = f(x). Let f(z) ...

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Q: Consider the function as representing the value of an ounce of palladium in U.S. dollars as a functi...

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Q: On the graph of f(x) = csc x and the interval (0, 27), for what value of x does f(x) = –1? Choose al...

A: Topic:- trigonometry  

Q: S The graphs of the polar curves r1(0) = cos 0 and r2(0) = 2 sin 0 are shown in the figure above. (a...

A: The given curve are: r1θ=cosθ       and       r2θ=2 sinθ

Q: (e) limVx ) lim -+(-1)") X-00 n→0 n n²-12345 x2 +9 (g) lim n +1 (h) lim x∞x3 +1

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Q: Question 15 Find the standard equation of the parabola with focus at (0, – 21) and directrix y = 21....

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Q: Find the Taylor polynomial T,(x) and compute the error |f(x) – T2(x)| for the given values of a and ...

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Q: Determine the standard equation of the parabola opening upward, with focus at (0,6) and whose length...

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Q: Question 7: Evaluate v² dv (Reimann Method)

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Q: y'dx-(xy + y* \dy = 0 1. Let the substitution v=²; y=vx; dy=vdx+ xdv

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Q: y = Vx (x – 1) u = i + ī + 4/15 y = f (r² + t + t')

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Q: Suppose the cost of producing bananas is given by the differntial equation: dC/dx = 26/x + 45x whe...

A: The cost of producing bananas,dCdx=26x+45x

Q: Solve using homogeneous differential equation x*dy+(2.xy – y² kdx = 0 Let the substitution y=2; y=vx...

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Q: Solve the homogenous equation. 1. y'dx-(xy+ y³ \dy = 0 Let the substitution y=²; y=vx; dy=vdx + xdv ...

A: Substitute v = yx and solve the given differential equation. Note : As per our Guidelines , we can s...

Q: Let f be a differentiable function. If f(60) = 378 and f'(60) = 6, use a linear approximation to est...

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Q: (x) = x^2 +3x-4, which of the following represents the solution for the equation?

A: Topic:- algebra

Q: Find the volume generated by rotating the region bounded by the curves about the specified axis. Use...

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Q: d²y dy Solve: x2 dx2 + 3x+y = 4 cos (In x³) dx L: L:

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Q: 3. Determine whether the following function is odd or even. a) f(t) = t² + 2t + 2 b) h(x) = 5x7 +1 c...

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Q: Rewrite the statement in mathematical notation. (Let R be the annual revenue of your company, q be t...

A: Given Revenue R=$4000  

Q: 1 I. Evaluate dV, where E lies between the spheres x? + y² + z² = 1 and x2 + y? + z² E x2 + y? + z? ...

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Q: x*dy + (2.xy – y² }tx = 0 Let the substitution y=2; y=vx; dy=vdx+ xdv

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Q: f (t) = -6te-3t + 9t

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Q: Which of the following is not in the domain of cot(x)? Select all correct answers. Select all that a...

A: Note that:- Domain of cot(x) is R-{nπ , n∈Z}  Where is R is set of all real numbers and Z is set of ...

Q: 1. y'dx-(xy+ y° kdy = 0 Let the substitution y=2; y= vx; dy=vdx+ xdv

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Q: x*dy+ (2xy – y³ ktx = 0 Let the substitution v=2; y= Vx; dy=vdx+ xdv

A: Topic:- differential equations