Find a formula for the general term a, of the sequence, assuming that the pattern of the first few terms continues. (Assume that n begins with 1.) 4 9 16 25 5'5 7' 8

Q: 2х+5 9. Find the derivative of the function (x) = Simplify your answer. Show your 2х-3

A: 9. fx=2x+52x-3f'x=22x-3-22x+52x-32=-162x-32f'x=-162x-3210.gx=cos25xg' x=2cos5x-sin5x5g' x=-10cos5xsi...

Q: Find the derivative of f(x) = In (x* V8 – 6x), using the properties of the logarithm. Provide your a...

A: I have stated the used formulas in the solution 

Q: Find the radius of convergence of in=0 negative infinity -1 infinity

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Q: 7t + 4 lim t→-∞ t2 + 1 – 7t

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Q: You organize an 8-hour training for 6 hourly, local employees. The training is led by the manager wh...

A:  Given that an 8hour training for 6 hourly,local employees.The training was led by manager who's sal...

Q: Determine whether the Series is. convergent divergent.Write or the exact test that you Use.

A: The series divergence test:The simplest divergence test,called the DivergenceTest,is used to determi...

Q: (3x²-5)°(4x³-7) 4. Find the derivative of f(x) DO NOT SIMPLIFY (first step only) (2x-1)*

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Q: Solve the following differential equations of 2-x'y'y' + xy' = 1 x' +y 1- yy' = 2y – x; dy 3– 2xyy' ...

A: To solve the given differential equation we use the substitution y=vx

Q: 3 /9ーx? 20. dy dx -3 /9ーx2

A: On solving this we will get-

Q: Given f(x,y) = 3x sin(3xy). Find fx(3,2). Give you answer correct to two %3D decimal places. Answer:

A: Topic:- partial derivatives

Q: (2z + 3, z 3 is continuous at z- 3. Justify the conclusion. (4) f(3)= (i) lim f(z)= 63 (ii) lim f(z...

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Q: The matrix A=[7    k]      [-8 −4]   has two distinct real eigenvalues if and only if k<_____ (Find...

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Q: Evaluate the integral of the following transcendental functions. dy 4) [- V9-49y² x² – 4 dx 5) [ x² ...

A: Topic:- application of integration Note :- as per our guideline if more than three subparts posted t...

Q: 1. f(x) = x² and g(x) = –x² + 12x – 18 have a common tangent at point P. Determine the equation of t...

A: for same tangent line  slope of equation is same f'(x) = 2x g'(x) = -2x +12 both are same so f'(x) =...

Q: Find a differential equation whose general solution is y = cjet + cze-". = 0

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Q: Find the critical number and relative extreme if they exist.

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Q: Find the area of the region included between the parabolas y? = 4(p + 1)(x +p+ 1), and y? = 4(p² + 1...

A: Here we have to find the area of the region bounded by the two parabolas.

Q: x-intercept (x, y) = (| y-intercept (x, y) = (| vertical asymptote horizontal asymptote y 10 - 10 -5...

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Q: s=[−2,1,5] and t=[3,2,0] a) Determine s × t b) Show your work to confirm that s × t is orthogonal ...

A: Given query is to find indicated vector.

Q: Minimizing Packaging Costs A rectangular box is to have a square base and a volume of 63 ft. If the ...

A: Lagrange multiplier

Q: g) Y2-Y1 X2-X1 h) f(x+h)-f(x) (x+h)-x i) lim-0 f(x+h)-f(x) (x+h)-x i) lim-0 f(x+h)-f(x) (x+h)+x

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Q: Given f(x, y) = x³ – 2xy + 3y². Which of the following is true? fa = -æ + 6y + 3æy²; fy = 3x² – 2y +...

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Q: eva dx

A: Given query is integrate the expression.

Q: What are the advantages and disadvantages of piecewise polynomial interpolation?

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Q: If the Wronskian W of f and g is t'et, and if f(t) = t, find g(t). NOTE: Use c as an arbitrary const...

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Q: A ladder 10 ft long leans against a building. The ladder forms an angle of 60° with the ground. (a) ...

A: Find your answer below 

Q: consider the following  5^3x+1 = 3^x-5 a) find the exact solution of the exponential equation in t...

A:

Q: Find the vector component of v = (4, —1, 7) along b = (4, 4, —7) and the vector component of v ortho...

A: Given,           The two vectors are v=4,-1,7 and b=4, 4,-7.To find : 1 The vector component of v al...

Q: Let y be defined implicitly by the equation 2x + 5y-4x- 7y = -2. dy at the point (1, 0). dx Use impl...

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Q: Find the moments of inertia Iy, I, I, for a lamina in the shape of an isosceles right triangle with ...

A: Given lamina lies in a region bounded by x=0, y=0 ,y= a-x Region of lamia  D= {(x,y) | 0&lt;= x&lt;...

Q: Consider the polynomial equation a + 2x³ + 22x? + 50x – 75 = 0 a) Use synthetic division to show tha...

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Q: Solve the D.E. (x +3y )dx- 2xy dy = 0

A: Find your answer below 

Q: The polynomial of degree 4, P(x) has a root of multiplicity 2 at x=1 and roots of multiplicity 1 at ...

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Q: 4. Compute the area of the surface formed when f(z) = 2+cosh(z) between 0 and 1 is rotated around th...

A: 4.0≤x≤1y=2+cosh(x)dydx=sinh(x)A=∫ 2πy dsA=∫012π[2+cosh(x)] 1+sin2h(x) dxA=∫012π[2+cosh(x)] cosh(x) d...

Q: Consider the differential equation dx æ(7 – 6t)e³t dt x + 6 (a) Identify and state the dependent and...

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Q: Determine where the function is (a) increasing; (b) decreasing; and (c) determine where relative ext...

A: Given: - The function is, y=3x-x2+8 To determine: - The function is (a) increasing (b) decreasing an...

Q: Find

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Q: For what value of the constant c is the function f(x) continuous at x = 1 Seter-2, | In (x) + 6, if ...

A: We will use concept of left hand limit and right hand limit in this problem.

Q: For which value of k does the matrix A=[2   k]     [−4 5]   have one real eigenvalue of multiplicit...

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: A bakery works out a demand function for its chocolate chip cookies and finds it to be g= D(x) = 950...

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Q: - y = x tan x

A: y=xtanxDifferentiate on both sidesThen  dy=dydxdxwhere dydx=ddx(xtanx)                   =xsec2x+tan...

Q: General Solution of a First Order Separable Differential Equation In this problem, we want to find t...

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Q: Set up an integral to find the length of the curve. Evaluate the integral by hand, and find the leng...

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Q: For the demand function q =D(x) = 100 find the following. a) The elasticity b) The elasticity at x 7...

A: Given q=D(x) =100) x

Q: Sæ² – 4x + 1, x 4 Evaluate the following limits for h(x) and Justify your answer. | (i) lim h(x) = ...

A: Given :h(x)=x2-4x+1x&lt;45-xx≥4

Q: Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for ...

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Q: oo o o O dy Find using implicit differentiation, for the equation z +y = 11 is , da x4 x4 x4

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Q: Find a value a > 0 so that the graph of the exponential function f(x) = a" contains the point (3, 1/...

A: The point lies on the curve, so the point satisfies the given function.  

Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and the find the nth Maclaurin polyno...

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