Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) B. Generate differential equation by elimination of arbitrary constants. 1. x = C₁ coswt + c₂sinwt

Q: 15. Find the limit. lim X48 lim X-8 sin 15x 19x sin 15x 19x =

A: See this solution in below.

Q: The rate of change of the variable y in terms of another variable t is equal to the expression 5t4 -…

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Q: Let ƒ(x) = x/x - 2. Find a function y = g(x) so that (ƒ ∘ g)(x) = x.

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Q: In this problem you will calculate the area between f(x) = x² and the x-axis over the interval [3,…

A: a) ∆x=b-an

Q: 2 5. Sketch the region bounded by the curve x 2 = y and the line x = y + 2 and find the volume of…

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Q: lim h→0 f(−4+h)-f(−4) h

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Q: lim 1 - cos(sin(³-1)) 73 - 1

A: As per the instruction, we will be answering the first question. The graph of y=1-cossinx3-1x3-1.

Q: Use the inequality from the previous question to fill in the blanks below. As stated above, to…

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Q: Find the 2nd derivative F(x) = 5e^2x F(x)= 3e^-x + 2e^4x

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Q: The integrating factor (IF) of the equation y' - 2ycot2x OA. sin2x OB. cot2x OC.Lnsin2x D.csc2x O E.…

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Q: 4. Let sin² x + cos² y = x² + y². Find y' by using implicit differentiation. ។

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Q: Which of the following is a non-homogeneous function? O O tan³y/x | xLnx − xlny x³ - xy + y² (y² +…

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Q: Obtain the differential equation whose general solution is y = C₁ + c₂e³x О А. y" - 3y' = 0 OB. 3y"…

A: the given  general solution  y=c1+c2e3x⇒y=c1e0(x)+c2e3x

Q: A B C D lim /(x) = 0 x+2+ lim f(x) = 2 x →-2+ lim /(x) = 0 x+2- lim f(x) = -3 x--2 -5-4-3-2-1 Y -3-…

A: Find limit of function

Q: Perform the indicated matrix operation, if possible. - 2x+2y -5x + y - 10x + 8y 4x-3y 4x-7y 2x 3y-3x…

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Q: Which of the following equations has a solution of the form F(x,y) = C A. 2x + 3y + (2y + 3x) dy B.…

A: we need to find out at which of the equations has solution of the form F(x,y)=c

Q: what is rational function ?

A: Relational number Our connection is number three. As you'll see that number is specific to our…

Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. -√³x 5 y…

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Q: The rate of change of the variable y in terms of another variable t is equal to the expression 5t4 -…

A: Your option is incorrect or may be last option correct . But my solution is correct .

Q: The integrating factor (IF) of the equation y' - 2ycot2x = 1-2xcot2x - 2csc2x

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Q: Obtain the differential equation whose general solution is y = ₁ + ₂³x A. B. |y" - 3y' = 0 D. E. 3y"…

A: Differentiate both side with respect to x

Q: dy What is the IF for solving the linear equation: x dx O O O O A. 3 X2 B. 3x 2 C. 3 -Lnx D. E. 3x e…

A: It is linear differential equation

Q: Obtain the differential equation whose general solution is y = C₁ + c₂e³x. OA. B. U O y" - 3y' = 0…

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Q: The integrating factor (IF) of the equation: (2x³y² + 4x²y + 2xy² + xy² + 2y)dx + (2y³ + 2x²y +…

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Q: 11. Define what it means to say that lim g(x) = k. the motion y X-0 Choose the true statement below.…

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Q: The function s(t) describes the motion of a particle along a line. s(t) = t3 − 7t2 + 6t   (a) Find…

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Q: Find the length of the curve. 1 10x³' y = 6 + X 2≤x≤4

A: y=x56+110x3,  2≤x≤4

Q: compute the acute angle formed by the asymptotes of the hyperbola x^2-3y^2-8x=14

A: Explanation of the answer is as follows

Q: Find the curvature (as an exact value) of (t) when t = 1

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Q: Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an…

A: Given query is to apply sine law and complete the triangle.

Q: A (B) f(x) is continuous at.x=3 D lim f (x) exists x-3 (C) f(3) exists Based on the graph above,…

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Q: Find the derivative 1. y - 12 2. y = 8x³5x² of each function defined as follows. sredin 8² +1x + 5 -…

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Q: The linear trend forecasting equation for an annual time series containing 45 values (from 1963 to…

A: Given     Yi^ = 4.8 + 1.3Xi As per the student's request, I am providing the solution to the (c)…

Q: The partial fraction decomposition of f(x) X - 5 + g(x) x + 5' where 56 x² - 25 can be written in…

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Q: 1) Using the definition, calculate the derivatives of the functions. Then find the values of the…

A: Solve by derivatives

Q: Which of the following is a non-homogeneous function?

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Q: What is the value of k so that the differential equation (y³ + kxy4 − 2x)dx + (3xy² + 20x²y³)dy = 0…

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Q: Solve for the IF of the equation y(x + y + 1)dx + x(x + 3y + 2)dy = 0 OA. O B. OC. ev eLny HA O D.y…

A: given    y(x+y+1)dx+x(x+3y+2)dy=0   it is of the form Mdx+Ndy=0   where M=y(x+y+1),    and…

Q: Degree of homogeneity of the functiom f(x,y) = (x²-4y²)^-1/2

A: To find the degree of homogeneity of the function.

Q: Evaluate the following integral. 9 4 dx 1-√√x

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Q: If f(x) = = f'(x) = 4x² tan x sec x Find f'(5)= " find 4x(x + 2 tan(x sec (x) (x))

A: Topic- Derivative of a function  We are given, f(x)=4x2tan xsec xand f'(x)=4x(x+2tan (x))sec x

Q: 2. Consider the graph of a function. do not need to show any work for this problem. y 5+ 4+ a. 3 2 1…

A: from the graph  we find out removable discontinuity

Q: Solve below given differential eqn (x3+ уз) dy xe²4.de

A: We need to solve the differential equation.

Q: Consider two lines. Line L1 is defined by 1, and Line L2 is defined by y = 3x y = 2x + 4. A. Without…

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Q: Evaluate the following integrals: 2 5cos x - 3tan x COS X S- -dx

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Q: Solve for the IF of the equation y(x + y + 1)dx + x(x + 3y + 2)dy = 0 O A. B. ev eLny y O D.y O E.…

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Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) E.…

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Q: Solve for the IF of the equation y(x + y + 1)dx + x(x + 3y + 2)dy = 0 O A. OB. O نا ey eLny O D.y O…

A: Given Data  y(x+y+1)dx + x(x+3y+2)dy =0

Q: Which of the following equations is NOT an exact equation?

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Q: If (OM-ON) 1/12 - - 5, = ?х M y OA. e5 O B. OC. y5 O D. e-5 O E. -5 then what is the integrating…

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