sin x lim

Q: -2 (b) 5x-5

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Q: The height s (in feet) at time t (in seconds) of a silver dollar dropped from the top of a building ...

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...

Q: Find the general solution of the following equations. dy 2. yv1+x csc?y dx dy 3. dx 1+x2 I| ||

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Q: Find a domain and range of the function. Use interval notation to write your result. f(x) = | x - 1...

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Q: y = 1/(x2 + c) is a one-parameter family of solutions of the first-order DE y' + 2xy² = 0. Find a so...

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Q: Solve (x+2y-1)dx + (2x+y+1)dy = 0 using %3D methods of substitution. A. (y+1)+ 4(x+1) (y+1) + (x+1)?...

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Q: BCIf the linear ODE N(x,y)y'+M (x,y)%3D0 satisfies the exactness condition, then N (x, y)-S M(x,y)dx...

A: Use the concept of exactness of and ODE. 

Q: Find the equation of the tangent line to the curve ? = ? 2 − 4? + 3 at the point (4,3), then sketch ...

A: For calculating the tangent line equation we will calculate the slope of the given equation at a par...

Q: Match the equation with its graph. r(t) = cos(at)i + sin(xt)j + t?k, -1 <t< 1 %3D y 4 y 2.

A: The solution of the problem is given in the next step.

Q: Jo cos*0 d0 T/2 3. sin'e cos°0 de 5. sin°(21) cos (21) dt 7/2 7. cos 0 de

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Q: Find the derivative of the function y = 4x3- x2+6x-5

A: Find the derivative of the function      y = 4x3- x2+6x-5  

Q: 3) Find the solutions to the Differential Equation. Determine if the solutions are Linearly Dependen...

A: SEE BELOW THE SOLUTION

Q: A machinist is required to manufacture a circular metal disk with area 690 cm. Give your answers in ...

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Q: *show the complete graph* In order to hear what is said in a football huddle, a listening device is...

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Q: Let r(x) = f(g(h(x))), where h(1) = 5, g(5) = 4, h'(1) = 3, g'(5) = 3, and f (4) = 5. Find r(1).

A: Given rx=fghx, where h1=5, g5=4, h'1=3, g'5=3, and f'4=5. Then we have to find r'1.

Q: Let f(x)=6x+15 f^-1(x)=

A: The solution of above question is written below.

Q: find domain , range and graph the function write g  as a simplified piecewise defined function.

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A: The solution of above question is written below.

Q: Solve the following using the method of solving Homogenous Differential Equations. dx x2+t2Vt2+x2 dt...

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Q: 1) Determine if the two functions are Linearly Dependent or Linearly Independent. g(x)= 2x – 4 f(x)=...

A: Given: f(x)=2x+4 g(x)=2x-4

Q: Problem 2. Verify that each given function is a solution of the given differential equation. Through...

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Q: The charge g = q(t) in the capacitor in an RLC circuit satisfies the differential equation dg 1. 240...

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Q: 6. Use an appropriate substitution to prove f(x)dr = | f(a+b- x)dx.

A: To use an appropriate substitute to prove  ∫abfxdx=∫abfa+b-xdx

Q: Find equations of all lines having slope - 1 that are tangent to the curve

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Q: X0 (x) For the function f whose graph is shown, state the following. (If the limit is infinite, ente...

A: Observe the graph carefully then answer each parts. 

Q: Suppose that r(t) =. Then the speed is

A:

Q: (A) Aunit vector u in the direction of the vector P( 2,0, 2) to Q( 4,2,0) (B) The vector projection ...

A: To Find: (A) a unit vector u               (B) Vector projection of u on to v              (C) Volum...

Q: Find the equation of the tangent plane to z=e^x+y+y^2+ 9 at the point (0,4,30)

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Q: Solve the following differential equation: y" + 4y + 4y = e-2" sin(2x)

A: This is a second-order differential equation.  The solution of this differential equation is consist...

Q: Differentiate the function L(x) = -6e"(cscx + 7cotx). Answer L'(x) =

A: Given Equation : L(x)=−6ex(csc(x)+7cot(x))   L'(x)= derivative of L(x)

Q: Q.2) Evaluate x+ y ds where o is the portion of the plane 3r+2y+z 6 in the first octant.

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Q: Problem 2. Verify that each given function is a solution of the given differential equation. Through...

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Q: Solve the following using the method of solving other substitution methods 4. y = xy' + y3

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Q: Problem 1. Find the order of the following differential equations equation. y'y - (y) = 0

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Q: (d) Find the function (g o g)(x). (g ° 9)(x) = Find the domain of (g o g)(x). (Enter your answer usi...

A: We have to find the composite function (gog)(x) and find its domain.

Q: xdx – Va² – x² dy = 0

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Q: Tollowing sing dr r2+2re de 02 II 4.

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Q: Solve the system of linear equations. (If there is no solution, en x - Sy + 2z - 19 3x - 15y + 6z = ...

A: Given that: x-5y+2z=19        ...................(1)3x-15y+6z=19  .............(2)

Q: Determine an appropriate choice for a particular solution for the differential equation y" + 4y = 3 ...

A:

Q: If F(x, y, z) = (x²z, –2xz, yz), then curl F(6, –3, 1) equals %3D O (12, 39, –5) O (9,34, 2) O (13, ...

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Q: tan x-x lim х-0 х-sinx

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Q: (x* + 2ху — 4y?)dx — (x? — 8ху — 4у?)dy %3D 0 -

A: Explanation of the answer is as follows

Q: Problem 2. Verify that each given function is a solution of the given differential equation. Through...

A: The given differential equation is: x2y''+xy'-y=ln x...(1) The given solutions to verify is: y1=x-ln...

Q: Vx+2 =3x-4

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Q: The deck of a bridge is suspended 215 feet above a river. If a pebble falls off the side of the brid...

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Q: Use the disk method or the shell method to find the volume of the solid generated by revolving the r...

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Q: Use the Maclaurin's expansion/series of In(1 + x) to generate the first ten nonzero In (1+x) Use the...

A: The detailed solution of above question is written below.

Q: ind cylindrical coordinates of the point with rectangular coordinates (-2, 2/3, –2).

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Q: The gestation period of rabbits is about 29 to 35 days. Therefore the population of a form can incre...

A: Given,