t cosh t dt

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

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

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Q: 9. The differential equation (3y cosx+4xe" + 2x'e' dx + 3(sin x +1)dy=0 is exact because aN

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Q: 3. Separation of Variables: x(y+1)dx+ dy = 0

A: Differential equation  Separation of variables

Q: 60e + 93e Find the vertical asymptote of y = 18ez – 13e Note: Give the exact answer but not the deci...

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Q: Direction: Read and understand the statement before answer. Click "TRUE" if the statement is correct...

A: ## we want to find out that the given statement is true or false.. The statement is as follows: * If...

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: - 4x + 30 -dæ Evaluate (x – 5)(x + 5) + C

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Q: In the 2000 U.S. Census, a small city had a population of 45,000. By 2010, the population had reache...

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Q: Find the lines that are tangent and normal to the curve at the given point. x²y? =9, (1,3) The line ...

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Q: Find the derivative of the given function. t q= tan Vi+2 dq dt

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Q: 4. Homogeneous Differential Equation: (r+2ry –4y' dx-(r² -&ry-4y'dy =0 x=2; Use the substitution y- ...

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Q: Given: y" + y = secxtanx а. Find ye b. Find u’1 & u'2 с. Find u, & u2 d. Find yp е. Find a general s...

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Q: (x – a)² + y? = a²

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Q: Gra ph the following fuctions and Show domains and ranges oF them ノ- ソ= 4Cos2x 文 MiS= R-て 3. %3D 3- ...

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Q: Describe which methods and how can be used to find an infinite limit. Please, provide a general stra...

A: Given that: To demonstrate the idea of infinite limitThat is, the idea of sequence of a real numbers...

Q: Given that the position of particle is defined in terms of time by the equation below, where x is in...

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Q: 4. Homogeneous Diffe rential Equation: (r* + 2.xy – 4y° kx-(x²-8ry-4y dy 0 Use the substitution y = ...

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Q: When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.03 cm/ min....

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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: Direction: Read then solve the question carefully. Click the letter of the correct answer Find the e...

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Q: Suppose that you are told that the Taylor series of f(x) = x*eª´ about x = 0 is x10 + + 2! 3! + Find...

A: Given the Taylor series of f(x)=x4ex2 about x=0 is x4 + x6 + x82! + x103! + x124! + ⋯   We know that...

Q: Find the solution of the equation 4xsinx +2 cos 2x a2 2 using the Newton-Raphson method with an erro...

A: Given:

Q: xy' + y = x³y³ Inx

A: This question is related to differential equations, we will solve it using given information. 

Q: Find the area of the surface generated when the curve y = x2 from x = 0 to x = 3 is revolved about t...

A: Let's find. 

Q: (iv) Which one is the correct statement (the next step to find f' (æ) by definition)? 13(Vz +3 – VE ...

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Q: Find a root of f (x) = In(x – 1) + cos(x – 1) using the Newton- Raphson method with an error less th...

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Q: (b) ln x as 0 As x0, In x →

A: Topic = Function  

Q: 4. (a) Solve the initial value problems, dy = sin t + 1; yE)=; dt (b) Evaluate V1 – x² dx. |

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Q: Elimination of Arbitrary Constant: y= Ax + Bx+C, A and B are constant, C is a parameter

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Q: Find the slope of the function's graph at the given point. Then find an equation for the line tangen...

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Q: dx (V32 + 4)3

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Q: The graph of the derivative f'(t) of f(t) is shown. Compute the total change of f(t) over the given ...

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Q: Find an upper bound on the error that can result if cos(x) is approximated by 1 – (x²/2!) + (x*/4!) ...

A: Given that cosx is approximated by 1-x22!+x44! over the interval -0.7,0.7. It is required to find an...

Q: -8

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Q: 6. Solve the inequality f(r) = 3(x- 5)(x+ 2)2 > 0 first algebraically your answer using the graph in...

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. k 1 Σ 6ln k k=...

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Q: Find equations of both the tangent lines to the ellipse  x2 + 7y2 = 63  that pass through the point...

A: consider (x0 ,y0) be an any point on ellipse 

Q: The equation of the family of straight lines with y-intercept and slope equal is

A: Equation of family of lines

Q: f(x)= 5.738e0287x By inspecting the graph of an exponential function, find the following. Note: Roun...

A: The given function,      f(x)=5.738 e0.287 x

Q: 3. у%3D V(3х + 5)5

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Q: ') Given y= -2x² –16x, find the absolute min imum and the absolute max i in the interval[-1, 4]

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: Find the equation of the line that goes through the point (5,4) and is parallel to y=2x-3 . Write yo...

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

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Q: Answer the question below: Let h(x, y, z) = ze*y + x² cos(z) cot(y³). The student should find hyzx.

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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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Q: Homogeneous Diffe rential Equation: (r+2xy – 4y´ kdx – (xʻ - 8xy – 4y´ dy = 0 Use the substitution d...

A: Given DE isx2+2xy-4y2dx-x2-8xy-4y2dy=0Solve the homogeneous differential equation

Q: Instruction: Determine if f is continuous at x = c. Also, determine if f is differentiable at x = c....

A: Given :f(x)=3-2xif x<23x-7if x≥2    c=2

Q: Findi Fx, fox, frg, for Fag fox F(X ) = Eai () %3D

A: We find out the partial derivative of given function.

Q: 3. Separation of Variable s: x(y+1)dx+ dy = 0

A: