The general solution to the initial value problem y" + 5y' + y = 0, 37 y(0) = -2, y' (0) = 7 is y = ea (c1 cos(bt) + c2 sen(bt)) a b = C1 లో

Q: dt 4е-t — et

A: ∫14e-t-etdt=∫14et-etdt=∫et4-e2tdtlet  et=uthen∫et4-e2tdt=∫14-u2du

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A: Given that: h(t)=3.2t

Q: WCLN PCMath 12 - Rev. 2019 o 10 Lesson 2- Solving Trigonometric Equations for Exact Values r olaluot...

A: Given:- (tan(θ) +1) (√2sin(θ) +1) (2cos(θ) -1) =0 To find:- Solve the given problem interval [0, 2π]...

Q: Find the formula for the figure below:

A: Given that: Graph of a function.

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A: Explained below 

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A: We have to find the solution of the given trigonometric the quations using graphical approach.   Not...

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A: NOTE: Refresh your page if you can't see any equations. . the base function is  . the graph of y=f(...

Q: find the differential equation of y'' + 5y' + 6y = 0 when y (0) = -1, y' (1) = 3

A:

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Q: #) =+2x9ー5×y +3, fnd: (a) Oz そe dy

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Q: | sech²xtanh²x dx

A: We can find the integration as below

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Q: MY NOTES ASK YOUR TEACHER he displacement of a particle on a vibrating string is given by the equati...

A: Topic:- application of derivatives

Q: 1 38. n(n - 1) n=2 IM:

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Q: Find the following using the table below. 3 4 f(r) f (x) g(x) 4 4 4 3 4 (x),6 h'(2) if h(x) f(x) · g...

A: Given that : h(x) = f(x).g(x) and h(x) = f(x)/g(x) and h(x) = f(g(x)) To find : h'(2)

Q: II. Find the limits of the ff by applying the techniques of evaluating limit theorems. x2 + 4x + 3 1...

A: We can solve the questions to find the limit as below.

Q: Find the equation of the curve at every point of which, the tangent line has a slope of 2x.

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Q: Consider the following. y = dy Find dx dy xp dy Find dt dy dt Need Help? Read It

A: y = (t/x7) + (x/t) , can be written as y = t x-7 + x t-1  Using formula d/dx(xn ) = nxn-1  Different...

Q: Find the derivative of the function f(x), below. It may be to your advantage to simplify first. f(x)...

A: The detailed solution is given below Thank you 

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A:

Q: Lesson 1 – Solving Trigonometric Equations with a Graphing Calculator 1. Determine the number of sol...

A: Since the student has posted many sub-parts of the question and does not mention any specific part, ...

Q: Pn 1995 Hhe moose papulalion n MeaSured to be 1900.TTBa, 1994, Hbe Was, eaSuned agaio to be Uu400.1f...

A: Given query is to find the formula for the function P.

Q: Which among the following illustrates the limit of an identity function? O lim z = - 1 lim a = 1 I-1...

A: Given that: Limits of an identity function

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A:

Q: If f(x) = (a + 3r + 2)", then f'(x) - f'(1) =

A: To find out f'(x) and f'(1). 

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A: Find your answer below 

Q: Find the following using the table below. 1 2 3 f(x) f'(z) g(x) 1 4 4. 1 2 4 (x),6 h' (2) if h(x) = ...

A:

Q: 3. Find the general solutions rounded to two decimal places for each of the following. For each ques...

A: Given :a) sin 3x= 0.72sin 3x = 12The General solution is x=(8n-7)π2∪(8n-5)π2  ∀n∈ℤ  

Q: Write the equation in equivalent exponential form. log 256 The equivalent exponential form is. (Type...

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Q: sin() 8. n2 ilamsili n=1

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Q: If y = (x? – 4)2 - 2arc sec find y'. 2' Vx² – 4 Vx² – 4 1 Jx² – 4_ 1 4 A. В. C. +- D.

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Q: If f(x) = sin(x), find f'(x). Find f'(4).

A:

Q: sec® tan Od® coso A) tane В sece sec?0

A: topic - indefinite integral

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A:

Q: a manufacturer finds that the revenue generated by selling x units of a certain commodity is given b...

A: Follow the procedure given below.

Q: Find the area in the first quadrant bounded by the coordinate axes Va + Vỹ = 1 and the parabolic arc

A:

Q: (3 +x if x < -1 if -1 sx< 1. (2 - x if x 2 1 Let f(x) = {x2 Sketch the graph of f. y y 3 -3 -2 -1 1 ...

A:

Q: cos (a + 8) y= dy Find da dy Immum dx Type sin(x) for sin(x), cos(x) for cos(r), and so on. Use x^2 ...

A:

Q: Suppose you solved a second-order equation by rewriting it as a system and found two scalar solution...

A: Given:     y = e4x      z = e5x   

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 2 - |x| lim x-2 2 + x

A:

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x)=√8x+9 at...

A: Here we have to find the instantaneous rate of change of f(x) = √8x+9 at x=1.

Q: Find the limit of the rational function (a) as x→∞ and (b) as x→ - oo. Write o or - ∞ where appropri...

A: We need to find limit of given function.

Q: Convert the numeral to a numeral in base ten. AFD5 sixteen

A: Here we have to convert the given numeral to a numeral of base 10.

Q: exercise

A: Please refer to the image below 

Q: Example 4 Video Example ) x2 + x - 3 Let y = Use the Quotient Rule to find y'. x3 + 8 Solution (43 y...

A:

Q: If A = -ax + 6a, + 5az and B = ax + 2ay + 3ax find: (a ) the scalar projections of A on B, (two deci...

A:

Q: A farmer has 1700 m of fencing and wishes to enclose a rectangular area and then divide it into 5 co...

A: A farmer has 1700 m of fencing and wishes to enclose a rectangular area and then divide it into 5 co...

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A:

Q: 26) Using Using Power Rule [f(x))"]'= a [f(x)]a=1 f'(x) to find [(100 + 4x)3 ]' = 26) A) 12(100 + 4x...

A: