3. x/1+ x6

Q: Determine if the function is a solution to the given differential equation. y = e7x −  ex 6 solves y...

A: The objective is to determine if the function is a solution to the given differential equation.

Q: 3. (2D3 - D² + 1)(In cos x - 2 tan x)

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Q: 6. (D³ + 8)y = 0 7 (D4 81)v = 0

A: We will find the general solution for given differential equation as shown below

Q: Let R be the region bounded by the curves y a", y = 5, and x = 2. What is the volume of the solid ge...

A: Given: let R be the region bounded by the curve y=x3, y=5 and x=2 To find: what is the volume of the...

Q: Find the inverse for the following function f(x), and find the domain and rang for f(x): x+2 f(x) = ...

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Q: (D3 – D2 + D – 1)y 4 sin x

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Q: %3D 7. (D* – 81)y = 0

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Q: 24.) The radius r of a circle is increasing at a rate of 4 centimeters per minute. Find the rate of ...

A: Area of the circle , A =πr2 ; where, 'r' is the radius.

Q: Solve the initial-value problem starting from y0 = 10. dy dt = −6y y =     At what positive time doe...

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Q: y" – 2y' + 2y = 0, y(0) = 1, y (T) = 1 -

A:

Q: 12) Find the exact length of the curve [4,16] on 3

A: We can find the exact length of the curve as below,  

Q: For the functiong whose graph is given, state the following. (a) lim g(x) = X- 00 (b) lim g(x) = X--...

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Q: The graph below shows the percentage of nationalities A and B in a certain country x years after 200...

A: topic - Linear equations

Q: sec² 0 de tan² 0 – 1

A: Integrate the integral.

Q: Use a graphing utility to graph the equation. Move the cursor along the curve to approximate the unk...

A:

Q: The transformation of a function f(x) into a function g(x) is given by g(x) = Af(Bx + H) + K. where ...

A: Given graph:-         To find:- Transform f(x) into g(x) where the transformation is g(x) = 2  f(x)

Q: Evaluate the integral. (If the quantity diverges, enter DIVERGES.) ∞   −∞ x (x2 + 4)2 dx

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Q: 4 z = lim f(x) y 1 2 3 4 2.

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Q: A tank contains 7,000L of brine with 17 kg of dissolved salt. Pure water enters the tank at a rate o...

A:

Q: Find the indefinite integral

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Q: 11) Determine whether the series is absolutely convergent, conditionally divergent. convergent, 1 2y...

A: Find your answer below 

Q: Here is the graph of y = 2x – x². 2- 1- -5 -4 -3 2 3 4 y -1- -2- Find two possible functions f(x) an...

A: We need to find inverse function.

Q: Which term best describes the mapping shown? a. relation b. function c. one to one function

A: Given query is to find mapping is a relation or function.

Q: Determine the general solution for each given higher-order differential equation or particular solut...

A: Given that: (D2+8D+25)3(D2-4D-5)2(D2-2D-15)4z=0,   Dz=dzdx

Q: dy • Use logarithmic differentiation to find for dx Y = xln x • If we did not have logarithmic diffe...

A: Given that: y=xlnx       NOTE: As per our answering guidelines, we can only answer 1 question or 3 s...

Q: Consider the following. y = f(x) 4 8 (a) By reading values from the given graph of f, use five recta...

A:

Q: SOLVE the following DIFFERENTIAL EQUATIONS. 1. cos'x sin x dy + (y cos>x – 1) dx = 0 2. xy' =2xex - ...

A: Given that: y.dx+x(lnx-lny-1)dy=0, when x=1, y=e

Q: 4. y=ysin 2xcos 5x + 3

A: Find your answer below 

Q: Evaluate the indefinite integral. | sec²(v#) dx

A:

Q: The annual net income of General Electric for the period 2009-2013 could be approximated by P(t) = -...

A:

Q: Compute the indicated derivative using the chain rule. dy x = 1 - t/3, y = 8t – 1;- dx dy dx

A: x=1-t3 differentiating with respective t dxdt=-13 y=8t-1 differentiating with respective t dydt=8  

Q: |(n+1)!] n!

A:

Q: Suppose that a company introduces a new computer game in a city using television advertisements. Sur...

A: Topic = Algebra

Q: (9D? – 6D + 1)y = 0

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Q: 8) Solve the initial value problem. y'(x) = y(4x' +1), y(0) = 4

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Q: Evaluate the ff Sinx d /sinx+ casx

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Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

A:

Q: QUESTION #3 DRUG DOSAGES Thomas Young has suggested the follow- ing rule for calculating the dosage ...

A: This is a problem related to derivation of the function.  Here we will first differentiate dosage wi...

Q: MY NOTES ASK YOUR TEACHER A medieval city has the shape of a square and is protected by walls with l...

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Q: 3) Does E-1 ati converge? 00

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Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

A: We have to find limit.

Q: Write the following in terms of sine, using the cofunction relationship. cos(5π/9)

A: We have to write in sin form.

Q: Find the average value of the function f(x) = x- 2x +1 on the interval [-1, 3]. %3|

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Q: If I represent the intensity of light which has penetrated water to a depth of h feet, then the rate...

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Q: 1 2 2 y y 1 1 Is your estimate an underestimate or an overestimate? O underestimate O overestimate (...

A: To solve the following problem

Q: 2. Suppose that h(x) is a continuous function, h(-1/4) = 1/2, h(7/4) = 1 and h(2)dx = 2. Evaluate th...

A: Here, given that h-π4=12, hπ4=1 & ∫-11h(x)dx=2...(1)

Q: y = – 1/1+ Vx 3

A: Here we will find the derivative,

Q: Use substitution to convert the integral to an integral of rational functions. Then use partial frac...

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Q: y : 3

A:

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

A: