Use appropriate substitution to reduce the following equation to a variable separable and then Зх + 2у dy За + 2у + 2" solve the given IVP: y(-1) = –1 dx

Q: If we apply Rolle's Theorem to the function f(r) -2r 16r 8 on the interval 2, 6, how many values of ...

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Q: Direction: Evaluate the following indeterminate function. Once simplified draw the graph and checked...

A: Here is the solution of the given problem.  Limit evaluation at a given points x=16  Verification by...

Q: (Determine if 1781 is divisible by 3, 6, 7, 8, and 9. )

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: if x -1 f(x) f(x) -2 -0.5 -0.1 0.01 -1.5 -0.666667 -0.5 0.25 -1.03 -0.970874 -0.85 0.7225 -1.003 -0...

A: Given question:- C.) What is the limit of function.

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A: The given limit problem is solved below.

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Q: Solve. The solution(s) is/are x = (Simplify your answer. Type an exact answer, using radicals as nee...

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Q: Consider the function f(r) 6/z + 10 on the interval 2, 10. Find the average or mean slope of the fun...

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Q: (e) z = x2 + 2y2 where x = sin(t), y = 3sin(t) and t = %3| dz answer! dt dz 19sin(2t) = 19 dtlt= (f)...

A: Note:- according to the company policy we can attempt ?️ only one question so please upload the next...

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Q: dz for the following functions dt 2. Using Chain Rule, determine (a) z = x²y + x where x = sin(t) an...

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Q: The cost of a computer system increases with increased processor speeds. The cost C of a system as a...

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Q: 1. 2x-9 13 Evaluate lim 1 x→-2 2x+8 4 Enter an exact answer.

A: We can find the limit as below.

Q: Vw² – 2w +3 lim W +5 W→-00

A: limw→-∞w2-2w+3w+5

Q: 7. Determine the following general antiderivatives. | cos*(x) b. sin(x) xp- 10 10 | sin(x)cos(x)] d....

A: Please see the below picture for detailed solution. 

Q: dy The following problem involves an equation of the form dt = f(y). Sketch the graph of f(y) versus...

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Q: Describe how the graph of the function g(x) = -|x|-7 can be obtained from the basic graph. Then grap...

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Q: Newton's law of cooling states that the temperature of an object changes at a rate proportional to t...

A: We have to find the differential equation of the Newton's law of cooling.

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Q: Find the equation of the tangent line of y = 4e* at xo = 0. (Use symbolic notation and fractions whe...

A: y=4exSubstitute x=0y=4e0=4The point is (0,4)

Q: Use the Laws of logarithms to rewrite the expression x°y13 log zl1 ,5,13 in a form with no logarithm...

A: Given query is to find the value of A,B and C.

Q: A car was valued at $32,000 in the year 1994. The value depreciated to $14,000 by the year 2002. A) ...

A: A car was valued at $32,000 in the year 1994.The value depreciated to $14,000 by the year 2002.

Q: In each of Problems 1 through 4, determine intervals in which solutions are sure to exist. 3. (x−1)...

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Q: The total number of a particular chain store in the world can be modeled by the cubic function y = 1...

A: We need to choose correct options.

Q: Find the derivative of y(x) = In (9(ln(x))’). (Use symbolic notation and fractions where needed.) dy...

A: To find the derivative of yx=ln9lnx7.  

Q: Prove that ∀n ∈Z, gcd(7n + 1, 15n + 2) = 1 *use only the definition of divisibility and gcd please!

A: we want to prove that   gcd(7n+1 , 15n+2)=1

Q: 7 4. Find the inverse function of f (x) = %3D 5x+1 Write your answer using proper inverse function n...

A: Follow the steps.

Q: 3. Determine whether the sequence converges or diverges. If it converges, find the limit.

A: a sequence {Xn} is convergent if lim Xn tends to a finite value when n approach to infinity 

Q: Consider the following sequence: {an} = {n – n² },e n=1 Use an+1 – an to show that the given sequenc...

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Q: 3. Use lhe Intermediate Value Theorem to show that dhe following equation has a solution. sec(x) = x...

A: Given secx=x^2+e^e-1

Q: A fuel tank is being designed to contain 200 m3 of gasoline, but the maximum length of a tank (measu...

A: We have to find the height and radius of the fuel tank which costs minimum using differentiation.

Q: (a)2承+2 (b) k=1 1+ 16k²

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Q: 23. What is dx? 3 – e4r e2z + V3 In e2r + V3 In |e2x а. +C C. +C 2 e2x – V3 V3 /3. b. V3 +C V3 +C 2x...

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Q: Between 2006 and 2016, the number of applications for patents, N, grew by about 4.9% per year. That ...

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Q: Consider the following. 0.4 x2 xp V4 - 25x2 4 – Let x 2 sin(0) and determine the following. dx = de ...

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Q: Find the derivative of the function. f(z) = e?/(z – 5) f'(z) =

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Q: 3. Tunctio T(X), WhOSe graph is shown below. Determine the limit of a function, by observing the beh...

A: Que : determine the limit of the function, by observing the behaviour of the graph.

Q: 1.) Suppose p > 0. What is the relationship between n=1/i da and n+1 dx? Make sure to justify your a...

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Q: Find a formula for each of the functions graphed below. in 1. 2. 3.

A: As per our guidelines we are supposed to answer only ? 3 sub- parts ( if there are multiple sub- par...

Q: sech(In x) dx J-5

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Q: k2 Determine the interval and radius of convergence: > 034(*ー1)* k=0

A: To determine the interval and radius of convergy.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x3 dx 1 + x8

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Q: Items 15 The graph of a function f is shown. On top of the graph of f, sketch the graph of f'. Use a...

A: The graph of the functions are given as 

Q: Complete the table. Use the resulting solution points to sketch the graph of the equation. y =-2x + ...

A: NOTE: Refresh your page if you can't see any equations. . the given equation of a line is  now make...

Q: 7. Including complex zeros find all zeros of f(x) = 9x° + 57x² + 66x + 30

A: f(x)=9x3+57x2+66x+30Take f(x)=0⇒9x3+57x2+66x+30=0find the values of x to get the zeros of the functi...

Q: (3x +1, xs0 f (x) = {x,0 < x <4 x – 5,x 24 2 6. Given , evaluate f(3). O f(3) = 9 O f(3) = 10 • f(3)...

A: Given query is to find the value of the function and at x = 3.

Q: An initial investment amount P, an annual interest rate r, and a time t are given. Find the future v...

A: Here, given that  PV=$1500r=3.25%=0.0325t=5 yr Future value =PV1+rnnt

Q: (3y-2) dy-1 3. y²+2y F17 d. Csiohle Inarccot 3x ) dx

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Q: 23-24 Verify the linear approximation at (0, 0). 23. e" cos (ry) ze+1

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