Find the integrals by the method of partial fractions. x² – 3x + 4 dx ·J (a +1)(x – 1)(r+2) 1. 5х — 2 dx (x – 1)(x² + 1) 2. -

Q: [a csc ()- y] do + ædy = 0 CSC O y= x cos(In z) + C O y=D cos (In a + C) O In + cos(E)= C O Ino COS

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Q: 3. Consider the parametric equations x = 1+ cos(t), y = -2+ sin(t), 0S <2M. 3.1. Find an equation…

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Q: is equal to sec (2x) + In|sec(2x)|+ C sec (2x) – In|sec(2x)| + C the above the above Gsec (2x) –…

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Q: Plz solve both these are just mcqs type questions so plz solve this both

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Q: Mathematics

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Q: Using the method of undetermined coefficients, a particular solution of the differential equation y"…

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

Q: cos(xy) + secy = 5

A: To find out the second derivative y".

Q: The solution y, of the homogeneous differential equation y() +36y" = 0 is None of them c_1+c_2 x+c_3…

A: We have to find solutions

Q: Consider the differential equation (x- 1)y" + y' = 0. By using power series so- lution about the…

A: Please see the below picture for detailed solution.

Q: The technique used to prove that x4 x3 - 5x + 5V5 tan¬1 3 x² + 5 dx + C - - is Long (Euclidean)…

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Q: (1) (2) (4) B" A" A" B" 90 B'

A: We will find the type of pairs of lines.

Q: Exercise 2. Find the following limits 3x +1 1) lim 2x +5 1-3x2 3x +1 2) lim X 2x +5 3) lim x- 2x+5

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Q: Find the angle in radians for the given right triangle. Round answers to the nearest hundredth. 10 7

A: Given angle to find is θThe side opposite to θ is called the Opp side and the side that is longest…

Q: Without evaluating the constants, the partial fraction decomposition for 5x² – 3 f(x) (х3 — 4x)(x2 —…

A: Finding the partial fraction decomposition without evaluating the value of constants

Q: A company estimates that the revenue (in dollars) from the sale of x doghouses is given by R(x) =…

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Q: Find the differential equation of a family of parabolas with an axis parallel to the x-axis. O y"y –…

A: Option A

Q: Find the curve length of the function 1 1. f(x) = ;x² 0 < x < 3

A: We can find the curve length as below.

Q: Q2: Determine the type of the two lines (parallel, perpendicular, intersecting, north) and give the…

A: 1  pependicular line because given that both intersect at 90 degree  2 parallel line because both…

Q: Express the series using sigma notation 6m + 3m + 0 + (-3m) + (-6m)... E-3bn +9b E-3bn – 9b E-3bn…

A: Use the expression form the summation form

Q: If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) =…

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Q: The following telescoping series [c0s" () - cos 1 COS COS in. n + n=1

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Q: Test the series for convergence or divergence using the Alternating Series Test. ∞ (−1)n 7n + 1   n…

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Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

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Q: Use the graph of y = fx) shown at right to determine whether fis continuous at 0. (-6,4) 41 94) Is f…

A: We can solve this as follows:

Q: Evaluate this integral. x? (a? – x²)3/2 dx

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Q: For the following function f(x), find f(0) and f(2). if xs0 x2 f(x) = if 0 <x<2 x+3 if 2sxs4 4-x…

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Q: Please

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Q: Σ nº +1 n=1 aluate the following integral. (If th dx x9 +

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Q: Without evaluating the constants, the partial fraction decomposition for 5x? – 3 f(x) %3D (x3 -…

A: Given :5x2-3(x3-4x)(x2+3x+2)(x2+1)

Q: Let x'y"-7xy' + 16y= 0 be an ordinary differential equation. Knowing that y,(x)=x* is a solution of…

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Q: Find the value of the derivative (if it exists) at the given extremum. (If an answer does not exist,…

A: f(x)=(x+5)23  f'(x)=23(x+5)-13  f'(x)=23 (x+5)3Let's understand f'(x) as a different…

Q: Consider this function: y=-5 sin(3x+x) (Continued from previous question.) Imagine the graph of this…

A: We will find the 5 points.

Q: = a and log5 2 = b then log5 216 can be expressed as pa + gb. The value of (nearest whole number)…

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Q: g. -3+i

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Q: Evaluate 3x- 2y ds where C is the line segment from (3,6)to(1,-1)ts -58.240 58.240 O -57.991 O Non…

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Q: The terms of a series are defined recursively by the equations az = 5 5n + 2. an. an+1 4n + 11…

A: Here, the given series has: a1=5, an+1=5n+24n+11an

Q: 2x3 = (3xy + 1)2 Implicit Derivative with Solution (step by step using chain rule and product rule)…

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Q: For the differential equation (x² – 4)y" + (x – 2)y' + 2y = 0, a regular singular point is: X=4 x=2…

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Q: etermine whether f is continuous at c= 0. - 3x if x #0 f(x) 2 x* + 3x %3D if x = 0 f continuous at…

A: Topic:- function

Q: a) Explain why the function f(x) = e#² is not injective (one-to-one) on its natural domain.

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Using decomposition into partial fractions, 4x2 + 2 dx x(x² + 2) is equal to In|x (x² + 2)| + C…

A: Solution is given below:

Q: Use the graph of y fx) shown at right to find the domain of f. 345) (-63) 9,3) The domain of fisO…

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Q: dy_x² +2x(1+x*) tan" x (1+x*) dx O Op tion 1

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Q: Use the accompanying graph of y = f(x). Does lim f(x) exist? If it does, what is it? x-4 (6, 2) (10,…

A: We need to find limit.

Q: 3y + 2y Solving by variation of parameter y" Wronskian W is: 3e*cosx, the value of |

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Q: A jet is flying through a wind that is blowing with a speed of 50 mi/h in the direction N 30° E (see…

A: --------------------------------------- Wind velocity: velocity: 50mphDirection: 30° with…

Q: Graph the function. Use the graph to find the indicated limit, if it exists. x20 lim f(x), fx) = -…

A: solution:-f(x)=x3 ,         x≥0-6x  ,    x&lt;0left hand limitlimx→0-f(x)=limx→0--6x=0right hand…

Q: Graph the function. Use the graph to find the indicated limit, if it exists. x3 x20 lim f(x), f(x) =…

A: Let's find.

Q: 1 Evaluate. 5P3 • 6C4 900 300 150

A: Use the formula and evaluate.

Q: 5. (1 + e*/") + e*/ dy

A: Solution