Write the sequence in closed form. Make sure to indicate the domain. 3 %3D aj = 5

Q: (1) If x=t*2 +1and y= t*3, then the second 3 (4t) Option 1

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Q: Express cos (a) in terms of cos(2a). Express sin (a) in terms of cos(2a). cos²(a) Choose... sin?(æ)…

A: Let's find.

Q: 5. y = 3x - 4 at (0. - 4)

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Q: 6. Verify each of the following identities: cosx (a) 1-sinx = secx + tanx (b) 2sec²x + 1+sin 1-sinx…

A: As you have asked for question d only. So I am solving that only. Thank you.   sec(x)*cos(x)=1…

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A: Given query is to find the second derivative of the expression.

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A: Given problem:- x3 dy+xydx =x2 dy +2ydx

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Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

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Q: 1 (tan x + cot х) sec x %D 1/cosx 1/sinx 1

A: Given query is to find the correct option for the expression.

Q: dx The integral of the given function S is equal to (x²–2x+4)ž а. 1/4 b. 1/5 с. 1/6 d. 1/3 e. None…

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Q: Solve the differential equation below using series methods. y'' – 4xy' – y = 0, y(0) = 4, y'(0) = 2…

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Q: blc (x-) got cancelled out »PW-x(x-1) (x+) 7. For what value(s) of c is f(x) = 4- x°, cr2 + 13 x <…

A: Solving

Q: Use Riemann Sum to find the area bounded by f(x) and the x – axis: f(x) = 4 – x² over [-2,2] x =…

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Q: Decide whether or not the given integral converges.   +∞ 4 x1.5 dx   1

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Q: 3a-6 Differentiate y= csc =CSC 5z2+9 A g' = cot() cse () ( ) B. y' = - cot() csc() ( ) 3x-6 522+9…

A: Given: y=csc3x-65x2+9 As we know that; The Quotient rule: fg'=f'·g-g'·fg2 The Chain rule:…

Q: a) ): Explam why the following series Σ (-1)"-1 1+ n3 n=1 is Alternating. b) Use the Alternating…

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Q: ( d ) Σ0, 3i (i2 + 2) i=1 3i(i² + 2)

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Q: csc(cot r) + cos? x d.x sin? x

A: Use the method of substitution and solve the integration.

Q: Question 1 ( (a) Use the Second Derivative Test to find the local extreme values of the function…

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Q: A quadratic polynomial y = 4x² + 7x – 3 has roots p and q. Find a quadratic g(x) = x2 + ax + B with…

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Q: dy 18. 0 do 2y = 0 sec 0 tan 0, 0 > 0, y(7/3) = 2

A: Given problem:- θ dy/dθ -2y=θ3 sec(θ) tan(θ) , θ&gt;0, y(π/3) =2

Q: Given the function G(x) = 3x2 + 2x -1, find the value G(a + 2). 3a 2 + 14a + 15 3a 2 + 2a + 15 5a +…

A: Given: Gx=3x2+2x-1.We need to find the value of Ga+2.

Q: Use

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Q: THE

A: Please refer to the image below

Q: 6. s) Rewrite (without any justification) the integral as an equivalent iterated integral in the…

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Q: can you write it on paper, I don't understand it like that

A: We have the solution as follows:

Q: e 3x (d) lim X→0 5x+200

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Q: 1. Solve the initial value problem 2 = x? – 1, y(3) = 7. dx

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: Question 2! 3: 1: Explain why the following series a) I (-1)" 1+ n3/2 n=1 is Alternating. b) -…

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Q: 10. Determine whether the given J, dx convergent or convergent? a. converges to ∞ b. diverges to 1…

A: integration

Q: Your interpretation and answer are incorrect.  My question had fractions but you interpreted them as…

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Q: Compute the following limits: cos (x) (i) lim x3 tan(3x) (ii) lim

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Q: Suppose a curve is defined by the equation 16(x² + y²) = 45. Show that if you translate the curve to…

A: we have to translate the curve.

Q: Describe the long run behavior of f(x)=-2(4)x+4

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Q: The integral of the given function ſ 3(x-1) dx is equal to (3x+1)ž

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Q: n²+4 2(-1)n-1 2 n=1 n²+ 3

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Q: Use an appropriate substitution to integrate 12 x*(x++ 1)°dx

A: The given integral is 12x3(x4+1)9.

Q: Differentiate f (x) = 7 (2-60+3). A. f' (2) = a2-6x- 3 B. f' (x) = In(7)(2x–6)7™(=²-6z+3) x2-6x+3…

A: Differentiate f(x)

Q: 3. Evaluate: lim -) X-0 \sinx 4. Using the binomial series, find the power series of f(x) = =

A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first question. If…

Q: The function f : R → R defined by f(x) = cos(x – 5) is а. one-to-one but not onto. b. onto but not…

A: Let's find.

Q: Using binomial expansion, write down the first three terms of the expression below, starting with…

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Q: For the following function, find its inverse. f(x)= In(5x – 8) - a. f'(x)= (e* - 5)/9 b. f'(x)= (e*…

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Q: Express the following vector in the form v = v,i+v2j+V3k. 3u - v if u = (4,6, – 8) and v = (2, –…

A: We can find the answer as below.

Q: Differentiate y = (9x- 11) log3 (1læ – 9). %3D A. y' = 9(11x-9)+11(9z-11) In(9r-11) (9x-11) In(3)…

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Q: where did you get 9.9999

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Q: Please do help me with this calculus questions. Please. I need the correct letter of the answer and…

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Q: Let A be the point with coordinates (4, 4, 2) and let B be the point with coordinates (3, 4, 3). Let…

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