1 f(x) = (1+x)²

Q: Consider the sequence {a,}1. Suppose lim a, exists and equals L. Prove lim an+1 L.

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Q: Let S be a set of negative numbers. Prove the least upper bound of S cannot be positive.

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Q: . f(x) = sin(ln x)

A: As per our guidelines we are supposed to answer only one question. Kindly repost other questions as ...

Q: (cosh ar +h)dr

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Q: The critical values of f (x) =4x³– 4&x + 24 are x=- 2 and x=2. Determine which of the critical value...

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Q: Triangle ABC with A = 35°, B = 40

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Q: The altitude of a certain right circular cone is the same as the radius of the base, and is measured...

A: Suppose h be the altitude and r is the radius of the base of a right circular cone. Here, given that...

Q: Plot the point given in polar coordinates. (2. - ) 4

A: The given polar coordinates are in the form of (r,θ) so given point (2, -3π/4)  r=2 and θ=-3π/4 Note...

Q: Let B={v,,v2.…...v,} and s={u,,u,…..u be two bases of a Which of the following is vector space y ove...

A: Given  S and B are the two basis of vector space V over F.

Q: x – 2 2|x – 2 20. Let f be the function given by f(x) = Which of the following is true? (A) lim f(x)...

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

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Q: . Solve the following modular arithmetic. Show your solution in trhe space provided. 4. ( 30/7 )...

A: If a is congruent to b modulo n then n divides a-b.

Q: Suppose you are required to use the Basic Comparison Test to decide on the convergence or divergence...

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Q: Solve the integrals using partial fractions. Зx2 + 5х + 1 dx x3 + 3x2 + 2x dx х2 — 25

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Q: 1. Find f' (0) given that f(x) = sinh-1 e*.

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Q: d²y dr +24 -52y=0; y(0)=; v'(0)= ; y'(0): dt Use Rod.uction ofE Ordor 3

A: Explanation of the solution is given below....

Q: Examine the function for relative extrema. f(x, у) 3 5x2 + бу? - 10х - 12у+ 18 (х, у, 2) %3D ( relat...

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Q: Use differentials to approximate the value of Jog 99. 198 – log e 99 200 – log e 100 O 200 – 2log e ...

A: Given that: log99

Q: Perform the following Matrix Operations for the predefined matrices. Given the System of equations: ...

A: Solution is given as below:

Q: Consider the function f(x) = 2x2 + 2 List the x values of inflection points of the function f. If th...

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Q: y = et – x² arctar

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Q: Some airlines have restrictions on the size of items of luggage that passengers are allowed to take ...

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Q: QUESTION 1 Solve 5cosh(x)+1=2 sinh (x).

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Q: Find the derivative of the given function e5x (2x+1)5 b. f(x) = In Vx²+1 f(x) = (x In x – x)

A: Given that: b. f(x)=lne5x(2x+1)5x2+1c. f(x)=(xlnx-x)

Q: (D2 — 4D + 4)у — еЗx A. y = cqe2* + cze2x + e3x B. y = ce2* + c2xe2x + e3x C. y = ce2x + cze2* +e 1 ...

A: to find out the general solution of the given differential equation

Q: Let a and b be vectors in R". Given that ||a|| = |=3 and (a , b)=- Find ||a – b||. А. 19 D. 5 V17 С....

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Q: After a severe storm, a tree is leaning 3° from the vertical away from a house. The base of the hous...

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Q: Given y=3x-2x2. Find its derivative and show that when x=5, a small change in x by P% will cause y t...

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Q: 2. After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is mo...

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Q: d°y +9 d²y +24 +16y = 0. Hint: “i" is one dx? dxº dxª of the factors.

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Q: Find all solutions of the equation in the interval [0, 2n). 3 cot2x+1=0 Write your answer in radians...

A: √3 cot2x +1 =0 

Q: Question 1 of 10 dI RI + L +¿Q - V(t) = 0 1 dI If dt dt ? ,which expression is equal to Select the c...

A: As per guidelines we have to solve one question Please repost other questions again

Q: If A = BxC , find matrix A. 2 1 [1 -3 -2] B = С 3| -2 -1 C 2 0 1] and 3 O A) 2 4 A = 7 2 [ O B) -6 2...

A: Given B=1-3-2201, C=21-2-130and A=BCA=1-3-220121-2-130A=2+6-61+34+0+32-0+0A=2472

Q: A particle is moving along a straight line, whose directed distance from its origin is given by the ...

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Q: IV. Graph the solution set. If there is no solution, indicate that the solution set is the empty set...

A: Given that        x > y2      x < y+2  Here we have to graph the solution set.

Q: Sketch a graph of the polar equation and find the tangents at the pole. r = 3cos2θ

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Q: D Use the geometric Series s (x)-I E k, for Ix|<l, tofind %3D k=0 a) the power series representation...

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Q: Question 2 A closed cylinder has a cylinder a height of 16 cm, radium r cm and the sum of surfaces a...

A: We will prove given as shown below and approximate the area if radius increase from 4 to 4.02

Q: Given a triangle with B = 100°, a = 56, and b = 71, find the measure of angle A. Round decimals to t...

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Q: -220 The minimal polynomial for the matrix A = 1 0 2 is.. -1 0 0 E. None in the given list. D. m (2)...

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Q: y"+y = sin x, use Method I

A: Given that: y''+y=sinx

Q: etermine the general solution of 3x2y' = 5x – 6xy, x = 2 when y = 1 %3D dentify the method of soluti...

A: Given:- 3x2y'=5x-6xy  To find:- Determine the general solution of the problem and identify the metho...

Q: 2. у -х3 -Зx? - 2 atx3D1 at x = 1

A: To find the value of this function at x=1 

Q: The Extrasoft Toy Co. has just released its latest creation, a plush platypus named "Eggbert." The d...

A: As we can see  is correct. So, we will use the above. Given: That is, p(0) = 10 and p(1) = 12. So,...

Q: Use the Change of Variables Formula to evaluate the definite integral. V+3dx (Express numbers in exa...

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Q: Listen Find all triangles with the given measures. Show all work. Then organize all of your answers ...

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Q: dx e* sin? e*

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Q: 7. For the following, please set up the integral only. You may use your calculator to find any neede...

A: To set the integral for finding area of the bounded region by the given curves.

Q: Find the derivative of the function  g(x)= (3x-2)2 (4x+5)3 Show all work and circle answer.

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Q: Find the area of the region that lies inside BOTH of the Polar Curves defined by:  {r=3+2cosθ, r=3+...

A: We have to find area bounded by the given curves. The solution is following.