Find the particular solution: (D^2-4)y=4x-3e^x

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Q: Sketch the direction field of the D.E. y = y - t and the solution curves corresponding to y(0) =-1, ...

A: Solution of question is written in below steps.

Q: rgent or divergent. If it is convergent, evaluate it. (If the quantity div

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Q: xl² -1), 2 x +1

A: To evaluate:∫xx2-1x2+1dx

Q: Value différential equation 9 x y'+ 6 y = 6 x2 y (1) = 7 y (x) = |

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A: Given query is to find the displacement function.

Q: sec?xdx Evaluate the given function ſ V1-4tanx a.글(1-4tanz) +c ·극(1-4tanx)i + C c.(V1 – 4tanx)' + C ...

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Q: Prove: 0 =- 1 Proof 1: sin x tan xdx = [ cos x 1 u = cos x dv = sin xdx sec x du = sec x tan xdx v=-...

A: Solution is given below:

Q: Find the area of the shaded region. y x = y -8 -6 -4 -2 4 Hy=-1 2.

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Q: Eliminate the arbitrary constants b^2 x^2 - a^2 y^2 = a^2 ^b2

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Q: 5e3* dx J 6. 9-12e3 +4e6x

A: integration

Q: iv. An = In(n + In n

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A: Check the countinuity of the function at x=-4 .

Q: In Exercises 7-12, functions 2 y=h(t) are given. (a) Use the Multhvariabie Chain Rule to compute dz ...

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. an=e2n/(n+2...

A: Given that - an=e2n/(n+2) an=ln(n+1)-ln(n)

Q: For the function f(x,y) = 2x* - 2y* - 11, find of of and of of II

A: Solution ) f(x,y) = 2x4 - 2y4 - 11 Partially differential with respect to x ∂f∂x  = 2 × 4 × x4-1 - 0...

Q: Using calculus, find the absolute maximum and absolute minimum of the function f (z) = 5x - 20x +1 o...

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 5* dx 1+5*

A: FOLLOW THE PROCEDURE GIVEN BELOW.

Q: The average change of a function f over an interval [æ1, x2] is f(m2)-f(#1) First find the average r...

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Q: Prove the following indentity. - 1 attachment - sece sine = cot0 sino cos0

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Q: Write out the first five terms of the sequence (-1)" n-1 determine whether the n2 n=1 sequence conve...

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Q: OBTAIN A FAMILY OF SOLUTION 2. (x - yny + y In x ) dx + x CIn y - In x)dy =0 3. [x - yarctan (y/x)]d...

A: This question is related to differential equation.

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Q: Use the comparison theorem to determine whether the integral is convergent or divergent. dx 3 + x12 ...

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Q: 3. Find the area bounded by the graph of the indicated equations over the given intervals (when stat...

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Q: Use Euler's method to obtain a four-decimal approximation of the indicated value. First use h = 0.1 ...

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Q: f(x)=2x^2+5x+3 find all values of x where the slope of the tangent line to is 0

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Q: Solve the homogeneous system of equation а — 3Ь + 7е%3D 0 - с — 2е — 0 d — 10е — 0

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Q: - (2* – 10) " da = +C

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Q: What is the relation between a one-to-one function f and the function (f-1)-1? 1.

A: FOLLOW THE PROCEDURE GIVEN BELOW.

Q: Determine the equation of the curve whose tangent line at any point (x, y) is e*- cos x and passes t...

A: The curve whose tangent line at any point x,y is ex-cos x and passes through 0,4

Q: Determine whether the given sequence converges, and, if it does, find the limit. i. An sin () %3D

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Q: A stone is thrown vertically upward with a velocity of 40 feet per second from the top of a tower 20...

A: Solution ) u = 40ft/ sec , s = 200ft We know from newton law  v = u + gt  When we throw and stone go...

Q: According to Hooke's Law, the force required to hold the spring stretched x m beyond its natural len...

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Q: Kagura stayed at Figaro and ordered a cup of Frappuccino. When the coffee was served at around 8:15 ...

A: The given information can be described in the table below: Time Temperature °C 8:15 PM 75 8:3...

Q: The function f(x) = (x² - 4)/(x-2) is continuous at x = 2. Select one: O True False The function f(x...

A: Continuity of function

Q: 5 Suppose S f (x) dr = -8 and S g(x) dx=9. %3D -3 -3 | Evaluate S (2 f (x) + 4 g (x)) dr. -3 Remembe...

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Q: 2n5-n2+4 i. an n²+1

A: Follow the procedure given below.

Q: Write a formula for the nth term an of the sequence and determine its limit (if it exists). It is un...

A: Given : 1) ln21,ln32,ln43,...ii) 0.9, 0.99, 0.999,....iii) 1, -14,19, -116,...v) cosπ, cosπ2, cosπ3,...

Q: A tank is full of water. Find the work W required to pump the water out of the spout. (Use 9.8 m/s2 ...

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Q: A. Find the differential equation: (1) whose general solution is y = c,e-2x + cze3x (2) by eliminati...

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Q: dy - 6/7 = 3x dx and y(- 1) = - 3. Find the function y(x) satisfying The function y(x) satisfying dy...

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Q: (vz-i, »). a Let 7(t) = (/2-i -1+e' In(t + 1) (i) The domain of 7 is [a] (input a number from below)...

A: The domain of a vector function is the set of all t for which all the components of vector are defin...

Q: A function f satisfies the following conditions. f(-3) = 2, f' (-3) = 0, f(-1) = 5, f' (-1) = 0, f (...

A: Given that the function f satisfies the following conditions f(-3) = 2, f'(-3) = 0, f(-1) = 5, f'(-1...

Q: 2. Let f(x) = ax+b cx+d (a) Show that if f is one-to-one, then ad bc + 0. (b) Show that if ad – bc +...

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Q: Integrate: dr z2 + 4z + 8

A: We will integrate the above expression. 

Q: If a sequence c1, c2, C3, . .. has limit K then the sequence eº, e%, e,... has limit eK. Use this fa...

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Q: 10. y(2x3 -x?y + y³)dx - x(2x³ + y³ )dy = 0

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Q: A grain silo consists of a cylindrical main section and a hemispherical roof. If the total volume of...

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