Perform long division on the integrand, write the proper fraction as a sum of partial fractions, and then evaluate the integral. 9x - 4x + 2 [x²³-4x+2x 3 X-X

Q: Jo •S. 8. 9. In 3 π/2 [te' i e'j + ln t k] dt [cos ti ein 2 2

A: We have to calculate the given definite vector integration.

Q: Solve the ff. Linear Equation: b. (x² + y² + 1)dx + x(x - 2y)dy = 0

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Q: . Graph y = sin x and y = [sin x] together. What are the domain and range of [ sin x]?

A: Given function is y=sinx and y=sinx

Q: Solve the ff. Linear Equation: 33 a. (x³y³ + 1)dx + x³y² dy = 0

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Q: 4. y = ln 5. y = (x²+3)² x³√√x²+1 e3x ex +1 (use property of logarithms)

A: Given; 4) y=ln [(x2+3)2/x3sqrt(x2+1)] 5)y=e3x/(ex+1).

Q: 4. Let V be a finite-dimensional vector space and let S be a subset of V which spans V. Then S a.…

A: Given that, V be a finite dimensional vector space and S be a subset of V which spans V. We have to…

Q: Find Duf at P. ƒ(x, y, z) = 6x³y³z³; P(2, -1, 1); u = zi+zi-k Duf = p. बॉल

A: We have to find the directional derivative.

Q: y=4(x2−4x)−5 Find dy/dx

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Q: Find the domain and range for each of the functions in Exercises21–24.21. ƒ(x) = 1/2 + ex 22. g(t) =…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the slope of the tangent line to the curve 6 sin(x) + 4 cos(y) - 6 sin(x) cos(y) + x = 4n at…

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Q: 11) f(x) = e5x In x A) 65x X B) e5x (1 + In x) X e5x (1 + 5x In x) X D) 5e5x X

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Q: C. Find the particular solution of the linear first order ODE: (4 + sin e)y' = e*(6 sec² e* - y cos…

A: Let's solve given differential equation.

Q: Solve the ff. first order DE using Homogenous Equations. b. (x - 2y)dx + (2x + y) = 0

A: We have to find the solution.

Q: determine if it diverges or converges 2. n=1 2n e²n n

A: See this solution in below.

Q: Next Find the maximum and minimum values of f(x, y, z) = 3x + 2y + 4z subject to the constraint +2y²…

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Q: 2. Use the given graph of the function to find the function information. a. Intercepts: b. Vertex:…

A: Given query is to find the characteristics of the parabola.

Q: Find (without using a calculator) the absolute extreme values of the function on the given interval.…

A: To find absolute extrema of the given function

Q: Solve the following differential equation using Laplace d²x dt² 2 dx +2+x=1 x(0)=x'(0)=0 dt

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Q: Evaluate the integral: (A) Which trig substitution 36 sec (0) X = X = 6 sec (0) X = 6 sin(0) ○x = 36…

A: The given integral is  ∫36-x24x2dx

Q: Find the derivative of y=6√s^4+7 (Whole equation under the square root besides the first 6)…

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Q: A construction worker pulls a five-meter plank up the side of a building under construction by means…

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Q: 47xy Compute the second-order partial derivative of the function g(x, y) = x-y (Express numbers in…

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Q: Let an = 10n² + 4n-3 2.3n Determine lim an+1 Explicitly indicate dominant terms when taking the…

A: Given:- an=10n2+4n-32·3n

Q: Problem 3. Consider the integral Using the area interpretation of the definite integral, convince…

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Q: Express the following logarithms in terms of ln 5 and ln 7.c. ln 7sqrt(7) d. ln 1225

A: The given expressions: c.  ln 7 7  d.  ln 1225 To express the given logarithms in terms of ln 5 and…

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it…

A: Given query is to fin integral convergent or divergent.

Q: Simulate the solution of the given problem using Excel such that when the given four data points (x…

A: we use exel to fit the equation

Q: 2. Consider the following system of equations. x+y-1 2x²+2y² - 4y - 6 = 0 = 0. a. Transform the…

A: Given two equations. x+y-1=0 2x^2+2y^2-4y-6=0

Q: Given that y(t) = c₁e6t + c₂e-ot is the general solution of the differential equation y" - 36y=0,…

A: given general solutiony(t)=c1e6t+c2e-6t

Q: Determine whether the planes are parallel or identical. -7x + 2y - 9z = 7 21x 6y + 27z = 20 The…

A: The given planes are: P1:   -7x+2y-9z=7           and          P2:   21x-6y+27z=20

Q: A tank contains 2240 L of pure water. A solution that contains 0.07 kg of sugar per liter enters a…

A: Given initial amount of water in tank is v(0) = 2240 L Let v is volume in L, x is amount of sugar in…

Q: 12. lim n→∞ n πί Σ[cos (+) + sec² (+)1 COS 3n i=1 TT 3n

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Q: 3 Each limit repr number a. State m -0 √9+h-3 h

A: Given query is to find f and a.

Q: Question 10 The derivative of y = is? 3 0-2/2 0-23/ O None of the choices 0 2√7

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Q: Assume that x and y are both differentiable functions of t. Find the required values of and dy dt…

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Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer…

A: Given lines are L1: x=2-t ,  y=3+5t, z=4+3tL2: x=4t, y=1-20t, z=4-12t

Q: f(x)=(lnx)^2 f′(x)= f′(e^2)=

A: Topic- Derivative of a function We are given, f(x)=(ln x)2 We know that ddx(ln x)=1xddxxn=nxn-1

Q: A point is moving along the graph of the given function such that dx/dt is 2 centimeters per second.…

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Q: Suppose a company has fixed costs of $33,600 and variable cost per unit of x + 222 dollars, where x…

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Q: 1. 3 A certain fraction has the value. If its 4 numerator is decreased by 7 and its denominator…

A: The objective of the question is determine the original fraction. Note -  As per our guidelines we…

Q: Compute the first-order partial derivatives of the function. w = In (x7 — y4) (Use symbolic notation…

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Q: 10. dy dx xev (a) y(0) = -2 (b) y(1) = 2.5 (0)

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 1. Find the area bounded by the given curves, axes and/or lines a. y²-3x+3= 0 and x = 4 b. y² = x,…

A: 1) Here we have to find the area bounded by the given curves, axes and/or lines. a) y2-3x+3=0 and…

Q: F(x) = psolute min solute max +25 on [-7,7] 11

A: Topic:- application of derivatives

Q: Find an equation for the plane that passes through the point (1, 8, −9) and is perpendicular to the…

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Q: Evaluate the integral: x = 49 tan (0) 49 sec (0) F 0x = 30x² - dx (A) Which trig substitution is…

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Q: how do I post the second part?

A: Solution

Q: 1. Let y=f(x)=x² 4x + 1 (a) Use the definition of the derivative to find the derivative f'(x). No…

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Q: Let f(x)=√-4x-1 f′(x)= f″(x)=

A: Given query is to find indicated derivative.

Q: Find the equation of each hyperbola whose center is at the origin. Find the equation of the…

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