2x = y + 2 2 2y = z + 2z = x + 2

Q: The number of bacteria in a culture is increasing according to the law of exponential growth. After ...

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Q: +o0 Зп? — 4 >Un where sn = u1 + u2 + · · · + Un 3n2 + 4 n=1 convergent O divergent

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Q: (12 let y.(z) be the solution for the initial valve problem given belaw. e y' + 6x"y = In(x), x>0, y...

A: The given DE is: x5y'+6x4y=ln(x)x...(1) x>0 & y(1)=5

Q: f(x) =a= 2 3. %3D THE IA

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Q: Help me answer this with complete solution pls. If S = { x | 0 8 }, find: a.    B U C' b. A ∩ B ...

A: Complement of set C (C') means all the elements which are not there in set C. Intersection of two se...

Q: Find the equation of the surface of revolution generated by rotating the part of the curve z= Sen (y...

A: Since there is no Sen function existed in math, the problem has been solved assuming the given curve...

Q: Show that w is in span(B) and find the coordinates of w with respect to B. B = 6.

A: Linear Algebra

Q: Use the formula for S, to find the sum of the first four terms of the following geometric sequence. ...

A: Explained below 

Q: Is the differential equation linear? dy dx = x8y + sin(x)

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Q: +oo Inn n2 n=2

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Q: Suppose the infinite series > am is divergent. Then for any real number c, the series ca, is also di...

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Q: dy given the equation z + y° = e. dr Use implicit differentiation to determine dy dx > Next Question

A: Given query is to find the derivative of the expression.

Q: 1. (a) Plot the first four terms of the sequence 3n2 – 3n + 2 n=1 (b) (i) Write in bracket notation ...

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Q: 12 Given that sine 13 and 0 < 0 <, find sin(20) and cos(20)

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Q: Q1/ sketch the region bounded by the curves. Then express the region's area as an iterated double in...

A: We have to sketch the region and find the area by using double integral.

Q: Find a polynomial P(x)=x^3+ax^2+bx+c satisfying ALL of the following properties: i) x = -4 is a loc...

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Q: 5x dx J 4x+12x²+9x³

A: On solving this we will get:

Q: You are given the following parametric curve x = Vt- 1. y = Vt+2. Which one of the option below repr...

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Q: f(x) = x^3 -1000x +2022 How many local minima does this function have? are inflection points of thi...

A: Given function f(x)=x3-1000x+2022

Q: Question The position of a car traveling along a highway is given by the function s(t) =- 21/2 + 181...

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Q: Find the derivative of the function g(x) 3+5x (2), 6 > Next Question

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Q: Find the equation of the circle that passes through the points (10,2), (9,-3), given that its center...

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Q: Show detailed solution for all. a) Provide the Maclaurin series expansion of f(x) In(3 – 2.x) b) Fin...

A: Note that, the Maclaurin series of  ln(1-x) is: ln(1-x)=-x-x22-x33-x44-...                  ...(1) w...

Q: III. For each of the following series, determine whether it is convergent or divergent. Justify your...

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Q: This is the graph of a function. -5 -4 -3 2 -2 -3- -4+ -5+ Choose the graph of its derivative from a...

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

Q: Find the domain of the function using interval notation.   f(x)=−2x(x−3)(x−5)

A: Since f(x) = -2x(x-3)(x-5)  is a cubic polynomial. And we know that the domain of all polynomial fun...

Q: [ a(x+y) - xty]dy = (x+xy²- 2y +3)d« when x-1, yal 3. %3D (9xy - 2y²) dx - ( 6x²_ xy) dy =0 4.

A: I have authority to answer one question only, if you want another question to be solved then upload ...

Q: If f(x) 5æ - 2x 2x3 find f'(x) x4

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Q: Given g(x) = 3x-1 – 2 A) State the parent function f(x) = %3D B) Describe the transformations: Confi...

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Q: Choose from these statements. The proof starements in correct order. Let (2, y) satisfy R and (y, z)...

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Q: Question 213 + 412 - 6t-3 for t2 0, where t is 3 A particle travels along a horizontal line accordin...

A: Given:-s(t)=-2t33+4t2-6t-3   for  t≥0velocity, v(t)=ddt-2t33+4t2-6t-3 v(t)=-2t2+8t-6

Q: 50 in. The figure above shows a right triangle with dimensions in inches. If 0 = 48°, what is the le...

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Q: Let f be a differentiable function such that f(+5) =-9 and f'(x) = 2x + 8. What is the approximation...

A: Given query is to find the value of f(-4.9).

Q: Maximizing Yield An apple orchard has an average yield of 36 bushels of apples per tree if tree dens...

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Q: y" – 4y' = x2 By used Variation of Parameters Metho

A: Topic:- differential equations

Q: Find the area of the surface obtained by rotating the curve y = 5x° from x = 0 to x = 9 about the x-...

A: Let's find. 

Q: Evaluate the integral by changing to cylindrical coordinates. V 16 - x2 16 - x2 - y2 x² + y? dz dy d...

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Q: Q3/ Find a center of mass of a thin plate of density 8 = 3 bounded by the lines x = 0, y = x, and th...

A: Given region bounded by x=0 , y=x and parabola y=2-x2    in first quadrant

Q: 15. Challenge Problem: Find the value of k for which the following limit exists. 4x2 + kx - 27 lim x...

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Q: Find the area under the given Cunves: D= 9-X From X = - 2 to X = 8

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Q: O Watch help video A particle moves along the x-axis so that at time t 20 its velocity is given by v...

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Q: A Construct the perpendicular bisectors of the following segments. B. Construct the angle bisectors ...

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Q: (cos v)³ + sin v dv (cos v)²

A: Topic:- integration

Q: Given the triangle below, find sin(0). Enter the answer as a fraction. 17 15 0. 8

A: Find your answer below 

Q: A container with square base, vertical sides, and open top is to be made from 1000 ft2 of material....

A: Let the container has a base side "x" and height "y"

Q: Is the differential equation linear? dy dt + y2 = x

A: The given differential equation,     dydt+y2=x

Q: 1. Find the differential equation for the family of: 1. Circles passing through the origin with cent...

A: Topic:- application of derivatives  Note :- as per our guideline if more than one question uploaded ...

Q: +00 1 Σ 4n² – 8n + 3 n=1

A: Convergence of series

Q: dx Assume that x= x(t) and y y(t). Let y=? •1 and D2 when x 3. dt dy Find when x=3 dt (Simplity your...

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Q: IV. Determine whether the given series is convergent or divergent. Justify your answers. +00 (2n)! 2...

A: a) By using telescoping series test, the given series converges.   b) By applying Series Ratio test,...