Let an n > 3. || n vn n Use the Integral Test to determine if the series ) An converges or diverges. n=3

Q: Talyor series for f(x) about x = a is, f(m (a) f(x) = (x – a)" п! n=0 = f(a) + f'(a)(x – a) + f"(a) ...

A: We find the Taylor series for f(x)=ex about x=0 and we also find the Taylor series for f(x)=ln(x) ab...

Q: Given that A is a 1 x 7 matrix and B is a 5 x 1 matrix. (a) Is AB defined? If so, what is the order ...

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Q: By Simpson's \frac{1}{3} rule, the value of  \int_{1}^{7} \frac{d x}{x} is?

A: Simpson's 13 Rule: ∫abydx=h3(y0+4(y1+y3+y5+...++yn-1)+2(y2+y4+y6+...+yn-2)+yn), where h=b-an and n i...

Q: Sketch the graphs of the following functions. 1 (i). f(x) = x 3 (ii) f(x) = x + x? (iii) f(x) x? - 1...

A: We have drawn graph of each functions by hand . 

Q: Create a euler diagram to know if the argument is valid or invalid. p: No number is divisible by zer...

A: Euler diagram is used to represent the existing logical relationships between two or more sets.

Q: F (x. y) = 3x²+3y² –18y+15 4- /2x+4y+4 a) Find domain b) Draw sign Diagram

A: The given function is Fx,y=3x2+3y2-18y+154-2x+4y+4. (a). We know that the domain of a function Fx,y=...

Q: Question 31 Given set A containing the solutions for 2x + Which of the following is false? 3/2 e A O...

A: We can check the values by putting then one by one in the given equation. 2x+xx2<12. Please post ...

Q: Identify whether each of the following is a polynomial function. Justify your answers. a) h(x) 2- Vi...

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for y...

Q: In a group of 500 students during vacation, 23% likes to go shopping only, 74% loves to stay at home...

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any sp...

Q: +o dx So J10 x

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Q: Solve the given equation 5x + 2z+ 10 = 0 by obtaining the roots. Answer: a. 4-14角 d.

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Q: 3. Find the fourier series expansion of the periodic function f(r) = e", -n < r < T, 1 f (x + 27) = ...

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Q: Question Use a compass and stralghtedge to decide whether each set of lengths can form a triangle. 7...

A: Let us consider the sides of length a, b, c then the sides form a triangle if  a+b&gt;ca+c&gt;bb+c&g...

Q: which is called the definite integral of f from a tob. The function f(x) = /x is continuous on [0, 4...

A: This is the problem of Reimann sum.

Q: Find the local maxima, local minima, and saddle points of = f (x, y) = x² + y + 2xy Identify x,y,and...

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Q: In (T/e) ( (2- sec?x)eme sec³x sec (зА - х) -dx to be integrable using the formula и" du? ? What sho...

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Q: Find the pattern of addition/subtraction from one x-value to the next and from one y-value to the ne...

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Q: How many ways can a committee of at least two people be formed from a group of 6 people? O 15 63 57 ...

A: We use permutation and combinations to solve the given problem as in next step.

Q: -x 0 if and only if x = 0. O Cannot be determined O False O True

A: Question 9 Given -x4 &gt; 0   ---(1) As  x4 &gt; 0 =&gt; -x4 &lt; 0   ---(2) So from (1) and (2) we ...

Q: 20-21. What is the regression equation between academic performance and digital literacy? Speed of I...

A: The regression equation is given by y=ax+bwherea=n∑xy-∑x∑yn∑x2-∑x2and b=∑y∑x2-∑x∑xyn∑x2-∑x2

Q: If v1 and v2 = are eigenvectors of a matrix A corresponding to the eigenvalues A1 = -2 and A2 = 5, r...

A: We can solve this by using given information

Q: laptace loma farm of L[fa] = FIS) L[ fiw] = t" [ FIS)]

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Q: The vertices of ADEF are D(2, 5), E(6,3), and F(4,0). Graph ADEF and its image when you translate AD...

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Q: y "(t) – y(t) = 4 cos(t); y(0) = 0, y'(0) = 1 Answer: y(t) = 2 cosh(t) + sinh(t) – 2 cos(t)

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Q: Pranav's school is selling tickets to the annual dance competition. On the first day of ticket sales...

A: Given Pranav's school is selling tickets to annual dance competition on first day the ticket sales b...

Q: 3x2+3y2-18y+15 F (x. y) = 4- /2x+4y+4 a) Find domain b) Find sign Diagram

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Q: 7. The table below gives the power consumption in megawatts (MW) in San Diego County from midnight t...

A: The quantity of energy utilized per unit of time is referred to as power consumption. In digital sys...

Q: g vertices are adjacent to vertex B?

A: Two vertices are adjacent if they are connected by an edge. That is , two edges are adjacent if they...

Q: Get the interval and radius of convergence of this given power series (х — 3)" n n=1

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Q: 1. Perform the indicated operations and express the result in polar form. a. In(5- j6) b. j'. C. log...

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Q: Find F(s) if: 19) F(1) = 6e cosh 2r

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Q: Vn an = 1 – n!

A: This is a problem of sequence.

Q: Find differential equation of ydx+(x+x^3y^2)dy COMPLETE SOLUTION PLEASE

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Q: Kalie has $25,000 that she would like to invest in a certiicate of deposit earning 2.15% compunding ...

A: When the interest is compounded, then the formula used is A=P1+rnnt , where, A is the final amount, ...

Q: 10* -dx may be written as Aln secB" + tanB*| + where A, B, and C are constants not equal to zero. Ev...

A: First of all we solve the given integral and then compare it with given solution and get the value o...

Q: LTE 8:01 AM Ø VOLTE il: 4 17% *32. Recall, from Problem 14, that j 2 0 if f(x) > 0 for all x in [a, ...

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Q: paper 2 4. INDICES AND SURDS 2012 J Q2 (b) Solve the equation 363y-5 63y 62y-1 216 y+6

A: Solution:-

Q: Solve the following system of homogeneous linear differential equations. Show your detailed solution...

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Q: answer 3

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A: In the given figure, If we rotate the first figure in 90° anti-clock wise we get the second figure ....

Q: solution shown in (i) is it associative matrix or proving the matrix under multiplication?solution i...

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Q: Given a point in cylindrical coordinate (4, , -4 ), find its equivalence in spherical coordinate. Dr...

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Q: 1. Graph the following set on a number line and express the set in interval notation. {xdxs -2} -10 ...

A:     Given :Graph the following set on a number line and express the set in interval notation {xIxS≤-...

Q: {S," cos t dt 7. L

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Q: Recall, from Problem 14, that f 2 0 if f(x) > 0 for all x in [a, b]. (a) Give an example where f(x) ...

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Q: The function f is defined by the equation above for all real numbers x. For each mterval in the tabl...

A: Let us consider the given function f(x) then  The function is said to be the increasing if f'(x)&gt;...

Q: 2. A steel girder 27 feet long is to be moved on rollers along a passageway 8 feet in width and into...

A: Given: A steel girder 27 feet long is to be moved on rollers along a passageway 8 feet in width and ...

Q: Find the solution of the following system of equations by inverse using Gauss-Jordan and inverse usi...

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Q: Skill-Building Activity Use power series to solve the differential equation. 1. y' - y = 0

A: Since you have posted a multiple question according to guildlines I will solve first question for yo...

Q: 1 Consider the series >) 2 n(1+ ln? n) n=1

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