Find a differential equation whose general solution is y = ciet + cze-4t. %3D

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: Find the area of the shaded region. y x = y° - 10 y 10 75 15 4' 2 -30 - 20 - 10 x = 5 y- y -5 - 10

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Q: Consider the following integral. | 4x7 V4 + 15 dx With the right substitution, the integral becomes ...

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Q: Solve the following incqualities

A: The given inequality is: x2>x3

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A: If we make a graph of given table data then it will give a Linear graph increasing  .a. ) W increase...

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Evaluate the Following Integral sin7 Cos4x

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Q: Find the radius of convergence for 2" -(4x–8)" n n=1

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: x'dx 1. Integration by Parts f Vx4-5 dx 2. Algebraic Substitution f (x+2)vx+1 3. Trigonometric Subst...

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Q: 1a)Find the length of the curve: x=t^3,y=3t^2/2; 0 ≤ t ≤ 224 b) Find the length of the curve: x=t^3...

A: Given,  a) x=t3,y=3t2/2 b)x=t3,y=3t2/2.

Q: Find the limiting value of upper sum approximations to the area of the region R below the graph of y...

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Q: V. Discuss the continuity of the following functions. If discontinuous, identify the discontinuity. ...

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Q: (u) đu . Evaluate the Integral tanh

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Q: 3. Solve for x of the equation 2 In(x+1) – In(5x+1) + In(x-1) = In(2).

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: 4. Compute the area of the surface formed when f(z) = 2+cosh(z) between 0 and 1 is rotated around th...

A: 4.0≤x≤1y=2+cosh(x)dydx=sinh(x)A=∫ 2πy dsA=∫012π[2+cosh(x)] 1+sin2h(x) dxA=∫012π[2+cosh(x)] cosh(x) d...

Q: The derivative of a function f(x) at a particular value of x can be approximately calculated by f(x)...

A: The given function is f(x)=7e0.5x.

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: Given ∑k=1∞56k+2=∑k=1∞56k562                              =2536∑k=1∞ 56k This series can expressed i...

Q: Which of the following is the general solution to the differential equation y(x³ – y)dx – x(x³ + y)d...

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Q: 1. If tan x = -3.5 then tan(-x) = %3D 2. If sin x = 0.8 then sin(-r) = 3. If cos 0.6 then cos( r) = ...

A: We know that  sin(-x) = -sinx cos(-x) = cosx tan(-x) = -tanx cot(-x) = -cotx sec(-x) = secx cosec(-x...

Q: III. Given f(x) x+4 do the following: a) Find f-1(x) (if it exists). b) Determine the domain and ran...

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Q: -x' +10x? – 5x+15 dx Partial Fractions x’(x² +5)

A: Solving the problem by finding the value of the integral.   NOTE :: As per our Expert guidelines we ...

Q: A company has a total budget of $700,000 and spends this budget on raw materials and personnel. The ...

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Q: Let fit)=F(t), where F(1) = 412- 5r+5t_ Evaluate the following integral using the Fundamental Theore...

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Q: Given f(x) = 2/(x + 5) and g(x) = 2x^2 − 5, find f(g(x)) and g(f(x))

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Q: 2 5. f(x) = x3

A: We will use the definition of a derivative to solve this question.

Q: ; find value of matrix A eigen -2 A = 2. 2.

A: To find the eigen value of the given matrix A , we have to evaluate the determinant of A-λI and then...

Q: Find all critical values and critical points of the function given, then find the regions where the ...

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Q: Question 6 * (4x – 1) dx (2x + 1)½ Perform the Integrations Use the editor to format your answer

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Q: dy Find using implicit differentiation, for the equation a + y = 11 is, dr O O

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Q: 4 cV16-x² 3. Evaluate the integral L-rz(4 –- x² – y²)dy dx by first converting it to | /16-x² polar ...

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Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. xe 401x dx ...

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Q: T(E) = N= T'(4) Evoluate (t) NG) for t=L,

A: First we find r'(t) then put t=1

Q: Consider the following equations. f(y) = y2 g(y) = y + 2 Sketch and shade the region bounded by the ...

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Q: x2+4 lim x→+00 2r-

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Q: Find Z, * Z, and Z1/ Z2 Write the answers in rectangular form (a + ib). Зл 2(cos+i sin),Z, = 4(cos +...

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Q: Solve the following incqualities - 21 < 4 •

A: The given inequality is: 1x-2&lt;4

Q: Centre at (h, k) 1. Find the equation of the ellipse with center at the origin, foci at (-3,0),(3,0)...

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Q: The table below shows total attendance at NFL football games-, In millons. Year 2015 2016 2017 2018 ...

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Q: Find the radius of convergence of in=0 negative infinity -1 infinity

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Q: For the following functions, determine , Je Je and se e, f(r,0,z) = r(1 – cos0) – z For the followin...

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Q: Find the area of the region included between the parabolas y? = 4(p + 1)(x +p+ 1), and y? = 4(p² + 1...

A: Here we have to find the area of the region bounded by the two parabolas.

Q: A company rents cars at $45 a day and 12 cents a mile. A second rental company's cars are $60 a day ...

A: This question is based on straight line.

Q: What is the general solution to the differential equation (e*y² cos(y) + x)dy + (e*y² sin(y) – y)dx ...

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Q: dx 5. Half-Angle Substitution J 3+5cosx

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Q: Evaluate the integral

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: This question is related to sequence and series, we will solve it using given information. 

Q: II. Solve the following problems. 1. Find the equation of the ellipse with foci at (-2,0) and (2,3) ...

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other ...

Q: Let f be a function defined by z = f(x,y) = 3xy² – 4y. Find the approximate change in z when x chang...

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Q: Find the coordinates of the centroid of the solid generated when region bounded by x? + y? – 4y = 0 ...

A: The given curves are: x2+y2-4y=0 y=4-x

Q: Provide an appropriate response. Is 4x(4x+ 1)3 dx <2(4x+1)4+C? A) No Yes B.

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