Using decomposition into partial fractions, 4x2 + 2 J x(x² + 2) is equal to

Q: Solving by variation of parametery"-4y' + 4y = xe2x, the value of Wronskian W is: xe^4x O None of…

A: We can solve this as follows:

Q: X = -y A y 2Fx = 2- y² -2

A: Recall: Formula Area=∫abf(y)-g(y)dy  We have,  f(y)=2-y2, g(y)=-y

Q: An auto weighing 1,500 pounds is on a street inclined at 10" with the horizontal. Find the force…

A: Let's find.

Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

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Q: P4: x3 (x² + 1)3

A: Use the algebraic substitution and solve the integration.

Q: (1- sin@) ) (1-sini (It sine

A: Given: I=∫dθ1-sinθ1+sinθ   As we know that; The trigonometric identity: 1). sin2x+cos2x=1 2).…

Q: If f(x) = 4 Tln(x), find f'(x). %3D Find f'(2). Submit Question

A: Differentiation

Q: The particular solution y, of the differential equation y" + 4y' + 4y 3x2 + 1 is (1/8) (1-2x+6x^2) O…

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Q: 4. S 9-x- dx

A: Given problem:-

Q: Use the properties of the derivative to find the following. r(t) = ti + 5tj + t?k, u(t) = 5ti + t?j…

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Q: (2x2 + x -3) * (x + 1) a = [21-3]; b = [1 1]; find conv (a, b)

A: Given :2x2+x-3*x+1

Q: 4x2-3 f (x) 2х3+x2+7

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Q: 4ln(Arctan x) = 1- y

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Q: x²dy + (y? txy) dx 3-

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Q: Differentiate y = -e24x + In(3x – 5). A. 72e24x – 120e24x + 3 y' %D Зх — 5 В. -72e24x + 120e24x + 3…

A: Given query is to find the derivative.

Q: Select all that apply. Select the functions whose value is zero. sec 270° Csc 360° tan 90° cos 270°…

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Q: 16X

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: convert csc x/ cos x to sec^2 x/ tan x

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Q: find the area of the shaded region

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Q: 1 is convergent or 1) Use the Integral Test to determine whether the series divergent. ' (3n– 1)?…

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Q: provide a step by step solution to the following equation dy/dx + 2xy + xy⁴ = 0 answer: 1/y³ = -½…

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Q: 3. y = Vx and y = x3 y%3D

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Q: S cosh(5x – 7) dx

A: The given integral is:∫cosh5x-7dx

Q: Find T(v) by using the standard matrix and the matrix relative to B and B'. T: R2 → R2, T(x, y) =…

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Q: Solve the equation (2xy - tan y)dx + (x^2 - x (sec y)^2))dy = 0

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Q: * 3" +n 2) Use the Comparison Test to determine whether the series or divergent. Show All Your Work.…

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Q: Part 4: Solve the following problem. Show your complete solution. 1.) Find the equation of the…

A: A detailed solution is given below.

Q: 8. (y- 2x)dx - x(1- xy)dy 0 Ans.

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Q: Find the equation of the tangent line at the given point on the following curve x* +y° = 8. (– 2,2)…

A: The equation of of tangent to a curve f(x,y)=0 at a,b is (y-b)=dydx(a,b)(x-a)

Q: -3 -8- -

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Q: 3. (1 + e**) + e (1-- 0 Ans. x + ye*/y = C

A: To differentiate.

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: Select one: 2s2 - 2s 6 S-3 O None of these 252 2s + 6 3 3s2 - 3s + 6 2 3s2 3s 6 S-2 Which of the…

A: Topic:- function  Note :- as per our guideline if more than one question uploaded than only first…

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

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Q: Please

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Q: Solve the second derivative(y") of the following

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Q: 1/5 2n'5 3) Use the Limit Comparison Test to determine whether the series V5n + 7n+7 n=1 is…

A: Given problem:-

Q: The table above gives values of f, f'. g and g' for selected vahues (A) -14 (В) -13 (C) -2 (D) 7 (E)…

A: We will use integration by parts and will take values from table to solve this.

Q: (b) Find the largest possible domain A, where all elements of A are non-negative and f: A - R, f(x)…

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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: Complete the equation. V-14x ). arccos X- 7 = arctan 7 <x < 14 7

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Q: dy da =y+ Vx? - y²

A: Given: xdydx=y+x2-y2

Q: y = x* Inx dy : =x³ +4x° Inx dx O Op tion 1 None of these dy - -x -4x° In x dx =x² -4x° Inx dx O…

A: Explanation of the answer is as follows

Q: 3. Which of the following integrals requires integration by parts? A. S csc°0 de B. S cot*0 csc*0 do…

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Q: The Cartesian equation, x = - 4, is equivalent to the polar equation, O. 4 cose Or2 = 4 cos e %3! I…

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Q: IL. Find the equations of the tangent and normal lines at the paint indicated. b. 4x - 4y - sin(x +…

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Q: 6. Which of the following integrals cannot be evaluated using integration by parts? A. ſe-*sin2x dx…

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Q: nd the surface area of the plane ( 15x- 5z+20y=D35) if it is in the first octant

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Q: The cylindrical coordinates of the point with rectangular coordinates (-V2, -v2, v2) are (v2, , V2).…

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Q: Match each graph type with its corresponding function. 1X Linear Function 1 y%3 2 2. y= log1 X…

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