Determine whether the sequence converges or diverges. If it converges, find the limit. (If the sequence diverges, enter DIVERGES.) a, = 1 + lim an n- co

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A: We need to solve equation for x.

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A: In this question we have to find the shaded region.

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Q: A third-order homogeneous linear equation and three linearly independent solutions are given below. ...

A: Given that Third order diffrancial equationy3+2y''-y'-2y=0,  y0=8,y'0=10,y''0=0Solution :y3+2y''-y'-...

Q: If the Wronskian W of f and g is t'e", and if f(t) = t, find g(t). NOTE: Usec as an arbitrary consta...

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Q: 2 sinx V1-2cosx 3

A: ∫π3π2sinx1-2cosxdx=12∫π3π22sinx1-2cosxdx=12∫π3π21-2cosx-122sinx dxSince ∫f(x)nf'(x)dx=f(x)n+1n+1+C=1...

Q: Find if-10x – 6y = -6. dx2 Provide your answer below: %3D dx

A: We Have to find second order derivative 

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Q: Differentiate the vector function. (1) Find r'(t) (2) Find r'"(t) r(t) = cos t

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Q: ) .3 Find the derivative of h(x) = cos (2x – 5 %3D

A: Given,            hx=cos42x3-5To find : The derivative of the given function.

Q: 4か さ n=0

A: To determine whether the given sequence converges or diverges.1+4n4nn=0∞

Q: Find the derivative of f(x) = ln (x* /8 – 6x), using the properties of the logarithm. Provide vour a...

A: We will find the derivative of the given function f(x)=lnx48-6x by using the properties of logarithm...

Q: Given the following information, determine the value of x:  u = [2x, 1], v = [x, 2x] and ∣u+v∣ = 6

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Q: 2 A = -4 1 6. has an eigenvalue A of multiplicity 2 with corresponding eigenvector v. Find A and X =...

A: Given     Matrix is given

Q: 4x + 300 A garden shop determines the demand function q = D(x) = during early summer for tomato plan...

A: We have to find elastricity and in small price cause the total revenue to increase or decrease

Q: a) logx5 32=1, then x=  b) 43x+4=18, then x=

A: Use  basic property of logarithmic function

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: d all points on the graph of the function f(I) = 2 sin z + sin z, 0 <I< 27 at which the tangent line...

A: Given query is to find the points where tangent is horizontal.

Q: /2 1. Let F(x) = f(t) dt and G(x) g(t) dt, where the graphs of f(x) and g(x) on [0, 6] are below. 4 ...

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

A: Find your answer below 

Q: Sx² – 4x + 1, < 4 15-a, x 2 4 Evaluate the following limits for h(x)= and Justify your answer. %3D (...

A: This is a problem related to limit of the function. Function is called as continuous if it's right h...

Q: Find the vector component of v = (4, – 1, 7) along b = (2, 3, –6) and the vector component of v orth...

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions specify...

Q: A bakery works out a demand function for its chocolate chip cookies and finds it to be q = D(x) = 95...

A: The answer is in step 2.

Q: Evaluate ffp(4xy + 1) dA, where R is the region in the upper half-plane bounded by the circles a? + ...

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Q: 5. A roasted turkey is taken from an oven when its temperature has reached 185° Fahrenheit and is pl...

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Q: Evaluate the integral. (Use C for the constant of integration.)   integration 8 csc4(x) cot6(x) dx

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Q: x²74X+2

A: find roots of quadratic function. 

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: Find a 2×2 matrix A such that [0                    [-3 1]       and        -2] are eigenvectors ...

A: On solving this we will get-:

Q: Find all values of x, xe[0,2n] where f(x) = secx has a horizontal tangent line

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Q: Evaluate the integral. (Use C for the constant of integration.) 4 sin V x dx n°(v.

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Q: z is jointly proportional to the square of x and the square of y. If z=364 when x=6 and y=5, find z ...

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Q: Find the equation of the normal line to the graph of ey tan(xy) − ln(x2 − 4y) = sin2(πx) at the po...

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Q: Find the length of the curve y = In (1 – 2*) over the interval [-,].

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Q: II. Solve the following problems. 1. Find the equation of the ellipse with foci at (-2,0) and (2,3) ...

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Q: rom the graph, determine the x- and y-intercepts and the vertical and horizontal asymptotes. (If an ...

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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: Calculate the rectangular approximations R1, R2, and R4 for f(x)=2x−1 over the interval [1,5].

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Q: Determine whether the Series is convergent diveryent.Write or the exact test that you Use. 1t2

A: ∑n=1∞(-1)n1+2nn

Q: Find tan x dx.

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Q: Evaluate p dA, where Dis the shaded part inside the semicircle of radius 2 in the figure. y = 4- (Us...

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Q: Write an equation for the function graphed below 7.6 3 432

A: Vertical Asymptotes : x = -1 and x = 5 so,the denominator : (x + 1) and (x - 5) Horizontal Asymptote...

Q: Evaluate each expression. 12. logs 216 10. log, 32 11. log, 1

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Q: Find the function M(r, y) such that M(x,0) = e- and the differential equation M(x, y)dx + (sin a cos...

A: Use the concept of exact form of the differential equation. 

Q: Q Find Haclaurin Sertedf then fuucboors Ć Sinx

A: Here we have to find the Maclaurin series of the given function,  a) f(x)=11-xb) f(x)=exsinx  

Q: Given the table of values below, find h'(1) if h(x) = g(x² f(x)). %3D f(x) f'(x) g(x) gʻ(x) 1 -3 -3 ...

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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: Find the equation of the line tangent to the graph of f(x) = -2 sin (x) – 1 at x = 4. %3D (Enter an ...

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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) =...