Evaluate the integrals using partial fraction 3y²-y+! S y³ - y² dy

Q: Integrate 3+22 Select one: OA. 7Inlxl + OB. 4inlxl + O C. 31nlxl + O D. 5Inlxl + dz + C + C + C + C

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Q: 3) [ Consider the DE: -(4x³y - 16)dy = (6x²y² - 10)dx. A) Show that the differential equation is…

A: Given :-4x3y-16dy=6x2y2-10dx

Q: Adding more people to a job will reduce the amount of time needed to complete the job. Change in…

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Q: Integral of cos^2 y cot y dy

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Q: X f f(x) = (2x+1) ³ (x-3)4 then f'(0)= Selected Answer: 1

A: In this question we have to find first derivative at point zero.

Q: 4. Use the bisection method to approximate the root of f(x) = 2x² [0, 1]. Let € = 0.1 be the margin…

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Q: Find dw/dt using the appropriate Chain Rule. Function w = x² + y² x = 4t, y = 5t dw dt || Value t =…

A: Given: w=x2+y2, x=4t, y=5t and t=2.   Apply the Chain Rule; dwdt=∂w∂x·dxdt+∂w∂y·dydt    ...1

Q: Suppose that f'(x) = (x − 1)³x² x + 3 Determine the interval(s) on which y = f(x) is decreasing.

A: To find out the intervals on which the function is decreasing.

Q: The current population of a small town is 2848 people. It is believed that town's population is…

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Q: Perform a first derivative test on the function ​f(x)=2x3 +3x2 −12x +4​;​[−2​,4​].   a.  b.Use the…

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Q: The parametric equations for the paths of two projectiles are given. At what rate is the distance…

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Q: Solve the following initial value problem: with y(1) = 4. Put the problem in standard form. Then…

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Q: a. Use limits to find the derivative function f′ for the function f. b.Evaluate f′​(a) for the…

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Q: Integrate (3-2)¹0 dar Select one: OA.(3-2)¹¹ +C OB.(3-2)¹¹ +C 12 OC.(3-2)¹¹+C OD.(3-2)¹¹ +C 10

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Q: Evaluate the integral S dx 25+225x²

A: Given, ∫125+225x2dx

Q: (x³ + xy² + y)dx + (y³+x²y + x)dy = 0

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Q: 4. If f is a coordinate system on a line /, determine whether or not each of the following functions…

A: We need to determine whether each will be a coordinate system or not.

Q: Set up, but DO NOT SOLVE, an integral that can be used to find the volume of the solid obtained by…

A: Solution is given below:

Q: Integrate I -dz Select one: O A In 1-¹-2²+√1 − x² + C I OB. 21n1-¹³+√1 − x² + C | OC. In 1-²+√1 = z²…

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Q: Sy²sin (2y) dy

A: Integration by parts.

Q: Match the equation with the graph shown in red below. L (1,1,1) r(t)=i+tj+ tk, 0≤ t ≤4 O r(t) =…

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Q: The rate of change of N is inversely proportional to N². IfN (0) = 4, and N(2) = 6, what is N(5)? O…

A: The rate of change of N is inversely proportional to N2N(0)=4 and N(2)=6

Q: Use the Ratio Test to determine whether the series is convergent or divergent. (-1)^-1_57 47n3 n = 1…

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Q: Find the equation of the upward asymptote of the hyperbola whose equation is (x - 2)² (y+4)² 9 16 =…

A: Given equation of hyperbola (x-2)29-(y+4)216=1That is (x-2)232-(y-(-4))242=1copare with…

Q: Answer the following True or False. 4ª + C In 4 faº f₁² da = True Faise

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Q: Simplify t to approximate the sum of the area using right end points. j=1

A: Given :fx=2x+40, 2    n=4

Q: A class of eighth graders undertook an ambitious project to compile the most dominant color of…

A: A class of eighth graders undertook an ambitious project to compile the most dominant color of…

Q: II. Anti differentiate the following. D. (ANTIDERIVATIVES by Substitutions) 1. Evaluate [(x + 4)5…

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Q: random variables X and Y have the joint density f(x, y) = {1.5 (x² + y²),0 ≤ x,y ≤ 1, 0, elsewhere.…

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Q: 3s + 12 망 (s + 2s + 10) x(t) = L-1

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Q: F. (DERIVATIVES OF EXPONENTIAL AND LOGARITHMIC FUNCTIONS) 1. Find f'(x) if f(x) = 3e². 2. Find g'(x)…

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Q: Solve Problem 346 in section 4.7 of the textbook. In addition to providing the calculations, draw a…

A: Solution is given below:

Q: Evaluate the indefinite integral. fest √5e³t sin (est)dt = [

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Q: Estimate Ay using differentials. 1/33x-1, y = x ¹/3 e³x-1. a = 1, dx = 0.1

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Q: Sdr Select one: O A. OB. O C. O D. (2x-1)³ V + √2x−1+C 3 +√√2r-1+C +√√2r-1+C + √√√2r-1+C (2z-1)³…

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Q: 1 SSR (x+y)² dxdy

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Q: 8. Solve the differential equation: y' √x 7y

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Q: Differentiate implicitly to find dy/dx. sec(xy) + tan(xy) + 21 = 13 dy dx ||

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Q: Let f(x)=√x - 7. Then lim h→0 f(3+h)-f(3) h 1 2√3 If the limit does not exist enter DNE.

A: Laplace transform:- If limh→0f(h)g(h) is of the form 00 then limh→0f(h)g(h)=limh→0f'(h)g'(h) and so…

Q: Recopy the picture onto your paper for best results Given: mLBEC = 46°, mzDEC = 29°, CD=7, AD=8 B C…

A: Disclaimer: Since you have posted multiple subparts for a question, we will solve first three sub…

Q: Write the first five terms of the geometric sequence. a n = 6a n-1; a 1 = 3

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Q: f(x) = X X+1' a = 1; f(1.2)

A: topic - linearization of a function

Q: Find aw/as and ow/ot using the appropriate Chain Rule. Function Values w = y³ - 7x²y x = e³, y = et…

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Q: G. (CHAIN RULE) 1. f(x) = (3x² - 2x+4)² 2. y = sin 2x 4 (a² - y²)² 4. g(x)= (3x² + 4x - 5)5 3. 2 =

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Q: b) dx c) √₁² (3x² +4x−2)dx

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Q: Integrate √1 - r²dr Select one: OA. }(arcsinx+v1_2)+C OB. }(arcsinx+2v1_z)+C OC. (arcsinx +…

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. 157 (n + 1)62n + n =…

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Q: 8 Find the sum of Σ n=1 A) 1 9n²+3n-2 hint: (partial fractions) 2 B) B)=1/12 (C) / D) = E) 3 4 3 F)…

A: According to question,Given Summation,∑n =1∞ 19n2 + 3n -2

Q: B a A b LI Use the right triangle and the given information to solve the triangle. a = 1, c= 2; find…

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Q: Find the critical value 5x+1/x

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