n+ In (3) Given the sequence Then the limit lim a = a n- 00

Q: 2 cos(За? + 5) + [62? + 2] (а) lim За2 + 5 0)2

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Q: Let f(x) = (4x – 6)(x² – 5). Find all the values of x for which f'(x) = 0. Present your answer as a ...

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Q: Use sigma notation to write the Taylor series about x = 4 for the function. 1 x + 3 1 -1* 7*+1 (x – ...

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Q: x3 + 3x2 + 4r +1 dx (r2 + 2x + 2)2

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Q: Evaluate the integral dx S 2xx - 3x2

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Q: 5. Let X be a binomial random variable with n = 4 and p = 0.45. (a) What are the possible values of ...

A: In this question we have to solve the following question.

Q: 5. Consider the function below. Is g continuous on (0,1]? on (4,1)? Why or why not? if x 4.

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Q: 19. Give the midpoint approximation of xdx with n = 2.

A: Here, to approximate the given integral ∫04x3dx  using midpoint approximation with n=2. Let, f(x)=x3...

Q: Identify all three (distinct) solutions to the equation z3 = 27i. Write your answer in x + iy form.

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Q: Portfolio Appeal Constructed Response Task

A: Given  Family decides to spend not more than $20.00 for the week. Each day, The family eats 1/3 of a...

Q: An object is dropped from a tower, 576 ft above the ground. The object's height above ground t secon...

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Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)5 f(x) = 8.

A: The given function,        f(x)=11+x5

Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum...

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Q: 72. Existence of integrals For what values of p does the integral dA exist in the following cases? a...

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Q: c) TR = (/Q5).(InQ)

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Q: 3. Given n > 1, let S = E-1: Show that S, is not k=1 _k° an integer.

A: We are given that   Sn = ∑k=1n1/k   and n>1              ..(i) We have to show that Sn  is not an...

Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

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Q: (9 – x² , x 10 [x – 4] (a) f(2) (b) f(12.5) (c) f(-3) (d) f(5) (e) f(1.5)

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Q: Solve the differential equation with appropriate method. Finalize answer free of fractions. Express ...

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Q: cSc x du 5. If u = f(x), then -. Compute f dx = sin x – cos x 2 (a) 1 (b) -1 (c) 0 (d) 2

A: ∫cscxsinx-cosxdx=∫duu

Q: Find the Taylor polynomials of orders n = 0, 1, 2,3, and 4 about x = x0 and then find the nth Taylor...

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Q: Use the Intermediate Value Theorem to show that 2х - 3 if – 3 0 has a zero on the interval [-2, In ...

A: By using the Intermediate Value Theorem to show that fx=2x-3x+3  if -3<x≤0-3+2 cosh x  if x>0h...

Q: 16. Sketch the region enclosed by y = |x| and y = x2 - 2, and find its area.

A: To evaluate the area between the following curves

Q: Find the nth Maclaurin polynomial for the function. 4x – 4 f(x) n = 4 %3D X + 1

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Q: 1+ In x 6. Find f (x) so that when u =f(x) the integral dx can be tan(f(x)) rewritten as cot u du . ...

A: This can be evaluated as follows:

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

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Q: 11. The integral of nunex dx is bln]sec(In(2x)")|. What is b? A. 2 B. 2 C. 4 D.

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Q: Given that - 3| de k then the value of will be given by В. 13 10 C.I D. 14 E. None of the given choi...

A: We will find the value of k  in the following step.

Q: Example 3.8. For r = 1, 2, 3 and y = 1,2, let the joint pmf of X and Y be defined by x+ y fx,y(x, y)...

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Q: Find the radius of convergence of the power series. (If you need to use es or -eo, enter INFINITY or...

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Q: Evaluate the integral S 4x4 – 12x² + 7 xdx (2x2 – 3)/4x4 – 12x² + 7 + 2ln|2x² – 3+/4x+ – 12x² +7]} +...

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: Taylor series of function fx at a is defined as:fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+

Q: 18. dx The integral - can be rewritten as V1 - x (a) lim (-2+ 2v1-s) (b) lim (-1+2vī -s) s--00 s--00...

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Q: Exact Equations (w3 + wz? – z) dw + (23 + w²z - w) dz = 0 O (w? + z?) = 4wz + c O (w? + 2?) = (4wz +...

A: Given the exact differential equation(w3+wz2−z)dw+(z3+w2z−w)dz=0

Q: 6) A function y =e-2x is defined numerically for some data range x. It can be entered using: (а) у -...

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Q: 5. Solve a) In(x+1) = 3 b) e2 – e = 2.

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Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

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Q: 1. One of the following is an improper integral CA In 3 cIn 2 dx xp 4 – ex 2x + 1 JIn 0.5 ' In 2 dx ...

A: I am attaching image so that you understand each and every step.

Q: 2. Without specifically finding its roots, show that f(x) = 0 for some x E [1, 2] where x2 4 f(x) = ...

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Q: Sketch the region of integration and change the order of integration. (x, y) dy dx f(x, y) dx dy

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Q: Evaluate the iterated integral by converting to polar coordinates. V2x – x2 5/x2 + y² dy dx

A: Explained below 

Q: y =2(2x+5) complete the below for x =-1/2,-1/5,0,1,2

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Q: 11. The integral of tan(In|4x²|) dx is bln|sec(ln(2x)ª)|. What is b? А. 2 В. 1 D. ! С.4 4

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Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum...

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Q: 2. (а, By completing the square, show that 1/2 d.x x2 – x +1 3/3 By factoring x³+1 as a sum of cubes...

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Q: Find the radius of convergence of the power series. (If you need to use ∞ or -oo, enter INFINITY or ...

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Q: 4. If f is a differentiable function of x and y with w = f(x, y), x = r cos 0 and y = r sin 0, show ...

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Q: Solve the differential equation with appropriate method. Finalize answer free of logarithms and radi...

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Q: 1 dx. 10. Evaluate the improper integral m 64 + z²

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Q: 1. An inverted conical tank with 14 m height and 6 m radius at the top is full of water. Calculate t...

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