Agree. Disagree 4. If lim f(x) = 0o, then lim f(x) does not exist. Justify:

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A:

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A: The company's total cost, C(t)=130-60e-t

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A: topic - application of derivatives

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A:

Q: Write the exponential equation in logarithmic form. For example, the logarithmic form of 23 = 8 is l...

A: We can convert to logarithmic form as below

Q: B: Evaluate the integral: TUTO (x + 1)-/2 (x – 1)5/2

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Q: Sketch a possible graph of a quadratic function which has two complex roots, a graph that opens dow...

A:  Graph of a quadratic function which has two complex roots, a graph thatopens downwards, and a y int...

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Q: y'dx-(sy + y* }ky = 0 1. Let the substitution y=2; y=vx; dy=vdx + xdv

A:

Q: A function f(x,y) is homogeneous of degree 7 in x and y if and only if, __________.

A: Given problem is solved below.

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A:

Q: 3. The function f(x, y)= 8x' - /4x° +3y° is homogenous in x and y of degree 4. The function f(x, y) ...

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Q: Let f(x) = 8- 4x + 3x. Calculate the following values: f(a) =| f(a + h) =| f(a + h) - f(a) %3D %3D f...

A: Topic = Functions

Q: attached picture please attached

A: Topic:- derivatives

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A: Use the basic of continuous function. 

Q: Recall from our lesson that a Non - Homogenous 2nd Order Differential Equation has 2 sides: The Char...

A: Given that, There are two differential equations following, (i). y'' - 3y' - 10y = 5e-2x (ii). y'' +...

Q: c. A= (0 ) B = ( 4 (15 31 4 use the matrices above to solve A(B+ CX) = D

A:

Q: A circular swimming pool has a diameter of 8 meters. The sides are 4 meters high and the depth of th...

A: Using fluid concept

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Q: sin² 3y 5. ye 3^cot3t

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Q: 4922 – 75x – 19 – 4x Find the limit, if it exists: (Do not use L'Hospital's rule) lim x-00 86x + 7 N...

A: Here we have to find the limit.

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A: Given that: f(x)=x2-1 when x&lt;23x       when x≥2

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A: use some property of limits.

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A: Given: y=Ce-mx

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Q: P3.A: Find the area bounded by the curve y = (X 2)(x+ 1)(2x - 1) and x-axis.

A: Given curve is y=(x-2)(x+1)(2x-1) area between curve and x axis is required to find.  

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Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at x = 0 for f(x) = sin(x). (Use symbolic ...

A: We will find the T2(x) and T3(x) for the given function.Below find the solution in the image.

Q: 4) y -2sin x, y=-2cos x, X -- 6' 6.

A: Since you have posted multiple question in this question which re not interlinked so i have solved f...

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

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Q: Find the Laplace of the following functions and simplify the result.

A: Given that:                             

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

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Q: Use differentials to approximate the change in cost corresponding to an increase in sales (or produc...

A: Solution ) c = 0.075x2 + 6x + 2  with dx = 1  differentiate with respect to x  dc/dx = 0.075 × 2 x +...

Q: Objective: Determine the form of a particular solution for each differential equation. y" – 2y' + y ...

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A: On changing determinant of row to corresponding column, there will be no any change on determinant.s...

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Q: Find the value of lim tanx

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A: Topic:- application of integration

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A: Given:

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A: The question is a little incorrect. I have modified the question a bit: the denominator should be: c...

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A: Given query is to find the volume of the solid generated. First we will find the intersection points...