Determine the largest interval in which the unique solution of (t – 3)y +tanty = t, y(n) =0 is | certain to exist. Select one: а. (3,00) b. (- ∞0,3) (플,3) d. (3, 프) 2

Q: Show that (2o + h)" – 2ö = nz- | n-1 lim h→0 h for any zo E C.

A: To show: limh→0z0+hn-z0nh=nz0n-1for any z0∈ℂ

Q: 2. If f(x)=x² -15 and g(x)= 2x+11, a) find (f °g)(2). b) find (gºg)(-6). c) (g•f)(x).

A:

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Q: 3. x = 1-5t and y -t+ 3 for 2 < t<6 %3D y (x,y) Domain:

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Q: 10. Find the length of the curve y = x/2 + 8 on the interval [0, 2]

A:

Q: The domain of y = is A. (-0,00) B. (0,00) C. (-∞,0) D. x + 0 E. x + 1

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A: We have to solve  2sinx - √3 = 0 on interval [0 , 2π)  Since ,  2sinx - √3 = 0  2sinx = √3

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Q: _3. lim (17x – 4) х--18 А. -140 В. 310 С. -310 D. DNE

A:

Q: Determine the interval in which solutions are sure to exist. y(4) + 5y" + 3y = t Valid on the…

A: Given differential equation is y4+5y''+3y=t. We have to determine the interval in which solution are…

Q: _____18) Find y' if y= 6+x √4-x²

A:

Q: Determine the largest interval in which the unique solution of (t - 3)y +tan ty = t, y(n) = 0 is…

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A: Find S'(t)?

Q: Q2) Find The root of the Equation fca)- x².x -3 -0 On L1, 2] using (the fixed point method), Where…

A: NOTE : There are no roots possible in the interval [1,2] of the equation f(x) = x2-x-3 = 0. The only…

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A:

Q: (x² + 1)ª (2.x + 1)3(3x – 1)5 y =

A: Simple differentiation problem....

Q: What is the largest interval on which the following IVP sure to have a unique solution: (t…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: (b) For the solution that satisfes v(0)1, sketch the solution curve and estmate the following v(0.5)…

A: (b) The solution that satisfies y(0) = 1 can be sketched as follows:

Q: 4. Make a table for each function in Question 3. a) у3 3х- 1 b) y=-0.5x + 2 c) y= 2x y y y 1 1 1 2

A:

Q: 3/(a) Let X × b(n, –) and E(x)= E(16–7x) find n.

A: Solution : Given : X ~ b( n, 14 )             E(x) = E( 16-7x ) To find n : It is known that for…

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A:

Q: The procedure to find the stationary points of a particular function f(x, y) leads to the eq 3x²…

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Q: 2. Find the terminal point P (x, y) and the reference number determined by t=- Round the coordinates…

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Q: X+2y t32 =9 x 134 t42 こる 3X My t122= 39

A: We write the system using a matrix

Q: Chioma was asked to find (18x + 3)(6x° + 3x)° dx using u-substitution. How should Chioma define u?…

A: ∫(18x2 + 3)(6x3 + 3x)6dx We have to use u-substitution for the above function. To solve this, u is…

Q: the roots of the linear equation fcx) = x ³ + x² 100 fall within the period [1,2] Ⓒ True (2) Erorr…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.