Evaluate the integral using partial fraction method J (3x²+2) dx (x + 2) (x² + 4)

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Q: If f(t)= sec(t), find f F-(-3). *-(-²) -

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Q: In each part, complete the table and make a conjecture about the value of the limit indicated.…

A: Since you have posted multiple questions in this question which are not interlinked so i have solved…

Q: Using the definition to proof a derivative formula f'(x) = lim, to f(x+h)-f(x) h

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Q: 7. Find an equation of the line of intersection of the planes 2x+ 3y -2z = 0 and 4x - 2y = 0.1

A: Normal of plane: 2x+3y−2z=0n→1=⟨2,3,−2⟩Normal of plane: 4x−2y=0n→2=⟨4,−2,0⟩

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Q: A police car is located 60 feet to the side of a straight road. A red car is driving along the road…

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Q: Find the function that solves y' + 8y = 24 subject to y(0) = 4.

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Q: 5)(x + 5)(x − 5) Enter your answers as a comma-separated list.

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Q: x-4 x²-4x+8 dr

A: integration

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Q: 2.(16)

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Q: 17. y = sin³x

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Q: 4. a. b. A spherical balloon is being inflated. Find the rate of change of the volume with respect…

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Q: Find d2y/dx2 by implicit differentiation. x 3y3 − 4 = 0

A: The objective of the question is to evaluate the 2nd  derivative of the given function.

Q: conical water tank with vertex down has a radius of 10 ft at the top and is 24 ft high. If water…

A: A conical water tank with vertex down has a radius of 10 ft at the top and is 24 ft high.so r= 10ft…

Q: L(t) = -173 + 0.578t +0.00760 t^2 : t in years since 1880 Using the sea level formula L(t), estime…

A: Given                                                       Where t in years since 1880. By using…

Q: Algebra Consider the constraints 2x+y ≤ 6, y-x≤ 2, y+ 1 ≥a, x, y ≥ 0. (a) Plot the constraints and…

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Q: For what value(s) of x does the graph of have a horizontal tangent? x = f(x) = 4x³ - 48x - 12

A: Given function is f(x)= 4x3 -48x -12 To find horizontal tangent, f'(x)=0

Q: 3. Consider the curve defined by r(t) = (3t², 4t2, 0). (a) Compute the unit tangent vector T as a…

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Q: Let f(x) = (a) Find all partition numbers of f'(x). (Enter your answers as a comma-separated list.…

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Q: particle initially located at the origin has an acceleration of a = 4.00ĵ m/s² and an initial…

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Q: The development of the population P in specific small city is analysed. The investigation revealed…

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Q: Evaluate the integral using integration by parts | (x² + 2x) e5x dx-

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Q: The graph of y=f(x) is shown below. -9-8-7-6-5-4-3-2 Answer the following questions: 1. What is the…

A: Domain : The set of all input values (x values)Range: The set of all output values (y values)

Q: State how many complex and how many real zeros the function has. f(x) = x² + 6x² - 4x² + 72x-192

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Q: J Evaluate the integral using substitution method 2 sin x x) 5 (3 + cos x) dx

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Q: Find the arc length of the curve y = 3e² + 12 e from a = 0 to x = 4. =

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Q: The rate of intake, R, during a respiratory cycle for a person at rest is proportional to a sine…

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Q: Find the derivative of the function. Assume a and b are not zero. Use lower case letters. y(t) =…

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Q: given that h(x) = log_3(2x+5) which the following is the dervivative h'(x)? a.1/(2x+5)ln3…

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Q: A cos w⁹ COS If p(z) = p'(z) = -ff² 7 w² dw then

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Q: For the following exercises, evaluate the function f(x) = -3x² + 2x at the given input. 3. f(-2) 4.…

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Q: Following up on this question how would you graph function like so as was given in response…

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Q: 3e" - 3x² +5, find f'(x).

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Q: following piencewise function is continuous at x=2 f(x)= {3x+k   if x> 2          {-2x+5 is x< or…

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