Let an = n 2 1 In(2" + 1) Determine if the sequence {an}n=1 is convergent or divergent 00

Q: Determine all values of x, x E (0, n), for which the slope of the tangent of f(x) = cos (2n sinx) is…

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Q: Suppose f is continuous on [3, 10] and differentiable on (3, 10). If f(3) = -1 and f'(x) 2 5 for all…

A: We have to find the minimum value of f(10).

Q: Evaluate the integral. 3 + 2 | du

A: This is a definite integral which can be solved using below formula    ∫ab f(x) dx= [ φ(x) ]ab = φ(…

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Q: Consider the power series 2x – 1)" V4n +1 - n=0 a. Show that the series is conditionally convergent…

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Q: What is the area enclosed by the curve r = 2 cos 30? Answer is in square units. Use two (2) decimal…

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Q: 2. Determine all critical points for the following. Identify the maxima/minima. 2/3 a) y = 6x - 4x +…

A: A critical point is a point in the domain of function where function is either non differentiable or…

Q: Q6. The price received from sales in OMR per unit is given by p =x² +x+1. i. the revenue function,…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Determine if the improper integral In (x²) dx converges or diverges. If it converges, find its valu

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Q: Question If 0 < 0 < 2n and 4sin 0 – 4 = -3, determine the values of 0. List your answers as exact…

A: Answer: The solution is as given below:

Q: Write the equation of a sine or cosine function to describe the graph. `y 3 3 3 3 -3-

A: Given query is to find the equation of the graph.

Q: Find the derivative of the following functions by applying “Delta Method". Show your complete…

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Q: Evaluate: - / (e* -e*)dx e ¯X+C 2 A | B) None cosh x +C 1 - sinh x +C 2 D E sinh x +C F -cosh x + C…

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Q: #12: use the definition of the derivative to calculate the derivative of f(x)=9x^2

A: Definition of derivative for a function f(x) is given by f'(x)=limh→0fx+h-fxh

Q: Q5. Find if y = Vcos x - 7*

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A: Solved below

Q: dv = dx = v=x V = 1-a'x 1-a'x

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Q: Use the indicated change of variables to evaluate the double integral. 8(x + y)e* - Y dA x= u + v) X…

A: x=12(u+v)y=12(u-v)u=x+y, v=x-y(x, y)=(0, 0): (u, v)=(0, 0)(x, y)=(1, 1): (u, v)=(2, 0)(x, y)=(-1,…

Q: Let A = (1,0, 2) and B = (6,-2,3). Solve for projĄB.

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Q: 3. Find the value of c guaranteed by the MVT for integrals for f(x) = cos(x), [-; 3'3 ] over this…

A: f(x)= cosx  , [ -π3,π3]as per MVT for Integrals for a function f(x) bounded and integrable on [a,b],…

Q: POPULATION DYNAMICS Assume that the population of the greater roadrunner in the Guadelope Desert was…

A: Given that: K=750, r=0.25. Initial population N0=250.   Population formula is = Nt=K1+K-N0N0e-rt.…

Q: Find an eguation of the ellipse with Focilo,a) and (0,-2) and verticesco,3) and C6,-3).

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Q: Question Determine the magnitude and direction of the vertical shift and the phase shift for the…

A: Compare with standard equation and solve

Q: A solid right cylindrical cement block of volume 9n ft is to be made, and then painted except for…

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Q: Use the equation giving the flux of the vector field across the curve to calculate the flux of F(x,…

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Q: S imkx + JI+ x° ]ax х+

A: Here we use the integration by parts.

Q: derivative

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Q: Find the general solution of the given differential equation. + 5y = x - x dx y(x) • Give the…

A: Given problem:- (a)Find the general solution of the given differential equation. xdy/dx + 5y = x3 -…

Q: Find if the sequence converges or diverges. If it converges, find the limit.  an=e2n/n+2

A: Given problem:- Find if the sequence converges or diverges. If it converges, find the limit.…

Q: Given the power series 00 2" (x + 4)" n =0 n! Find the "Radius of Convergence" for the series. (A L…

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Q: Write an equation of the form y=a sin bx or y=a cos bx to describe the graph below. NAA 4- 3 37 2 4…

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Q: Consider a triangle ABC like the one below. Suppose that a=12, b=39, and c=29. (The figure is not…

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Q: Use the second derivative test to find the location all local extrema in the interval for the…

A: We need to find local ma and min.

Q: Please solve this simple question as soon as possible

A: a) The following set of differential equation have been used to determine the populations of two…

Q: $50 a copy.

A: answer is in next step

Q: A culture starts with 8100 bacteria. After 1 hour the count is 10,000. (a) Find a function that…

A: Here is the solution:

Q: Let å and b are vectors such that the angle between them (when joined tail to tail) is 0°. Describe…

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Q: PROBLEM 31l i Show that f(r, y) = r* + y - 3r - 2y defined for z > 0: y > 0 is strictly convex and…

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Q: bx2 ) e x2c +d X. dx

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Q: (-1)"12"" n² +3 Determine the interval of convergence of n=1

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Q: 4. Find the average value of the function over [1,4] and all values of x in this interval for which…

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Q: s given by Archimedes be the volume of the object, p the weight density of water, and g the…

A: Follow the procedure given below.

Q: If z=x²sinh then дхду O A. (-x³– 3x²y+2xy² – 32x) / 16+x²- 2xy + y² (16+x²-2xy + y²) ² O B. (x³–…

A: Given  z = x2 sinh-1x-y4 We have to find  ∂2z∂x∂y.

Q: 4. Determine the equation of the tangent line to y = x²sin2x, at x = - R

A: Follow the procedure given below.

Q: Find the slope of the tangent line to the curve x4+6xy+y2=17 at (1,2).

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Q: = sin? (esin" t) + cos-1(2t3 (x) = tanh-1 x + In V1– x2 |

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Q: "f(x) = f' (5) = = ?. then %3D ?. I+5 (Answer accurate to 2 decimal places.)

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Q: C. Determine the Laplace transform of the following function f(x) = x2 1. f(x) = e", a E R 2.

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Q: 0 e1/x dx х2

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Q: Using terms like "secant line" and "tangent line", explain how evaluating f(3+ h) – f(3) lim gives…

A: This is a problem related to derivation of the general formula of differentiation.