1 9. Σ n? + 1 n=1 E

Q: OMSDAY SITUATION The population of of rabbits introduced onto an isolated island is giv- P(t) = 72…

A: Given population of rabbits P(t)=729-t 0≤t<9 where 't' is measured in months.

Q: Solve (a) dy +2 = 4x²; y(1) = 2, (b) av' - 4y = x, (c) dr = (d) dx + 2y cot a = csc a. = 3(y +…

A: Solution is given below:

Q: If θ=1π/4, use the unit circle to find exact values for the following: sec(θ) equals    csc(θ)…

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Q: Find the limit. lim x →→∞ - 9x² - 8 8x² +3

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Q: Decide whether the limit exists. If it exists, find its value. lim f(x) x-0 -3 O-1 2 01 -1 3 2 L +…

A: From the given graph

Q: Find the equation of the tangent line to the curve at the given point (4,57) y= x3-2x+1

A: Tangent line of a curve y=f(x) at a point (a,b) is given by, y-b=f'(a)(x-a) Where f'(a) is the slope…

Q: 1. For each of the functions f(x, y) below, describe its domain in set notation, give a geometric…

A: Dear student  We are allowed to solve the first 3 subparts of the question. If you need the rest of…

Q: A wireless phone company has a pricing scheme that includes 300 minutes' worth of phone usage in the…

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Q: Say if it’s FUNCTION or NOT. Answer those 5

A: We need to determine given graphs are functions or not.

Q: 2ly² - 4y + 5x = 21 FIND Y'

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Q: Let g(x, y) = cos(x + 4y). (a) Evaluate g(8, -2). g(8, -2) = (b) Find the domain of g. 0 - 1 ≤ x +…

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Q: Y = (x+C) e-x FIND D.E.

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Q: Question Find the tangential component of acceleration for a moving particle if its position…

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Q: CLASSIFICATION OF DIFFERENTIAL EQUATIONS Classify each of the following differential equations by…

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Q: Given the symmetric formula:   (x + 8)/2 = (y − 6)/3 = z − 7   Find the parametric formula of the…

A: The parametric formula can be obtained by equating the equation of given line with t

Q: Solve each of the following differential equations given that each has an integrating factor of the…

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Q: From the information given, find the quadrant in which the terminal point determined by tt lies.…

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Q: Let k(x, y) = = ex cos(x + 2y). For any (x, y) E dom k, evaluate 2k(x, y) + 4ky(x, y) - kry(x, y) +…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: An ordinary differential equation is an equation that includes Only three derivatives 0 single…

A: ordinary differential equation include ordinary differential equation (ODE) contain one variable and…

Q: 3. Check for homogeneity and obtain the general solution. (Let y=vx and 2C=C) dy x-y dx x+y

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Q: 3. A flag is raised vertically from a pole at a constant rate of 0.5 m/s. A point B on the ground is…

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Q: Prove that lim x-√3 1 1 3 C For a function f(x) that is defined in an open interval about c, except…

A: Solution is here

Q: Q3/ Use the l'Hopital's rule to find the limits 1) lim X-0 sinx-x x3

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Q: 2. Divide 20 into two parts. Find the two positive numbers if: (a) their product is a maximum; (b)…

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Q: 94. S 1/2dt sint 1+t² 38 WO (Hint: sin(-t) = -sin(t))

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Q: 3-7 Use the method of cylindrical shells to find the volume generated by rotating the region bounded…

A: 7) Given:         y=x2 , y=6x-2x2 Equating the curves:     x2=6x-2x2     x2+2x2=6x     3x2=6x…

Q: Find the particular solution of the DE below. 3. 3 ln x - sec y dx − 5x sin² y dy = 0; y(e³) y(e³) =…

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Q: (y²_2xy +6x) dx=(x² - 2xy + 2) dy=0

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Q: Evaluate 6 ftanⓇ x x sec4 xdx

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Q: Decide whether the limit exists. If it exists, find its value. lim f(x) x-1 2+ Ⓡ C 1 2

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Q: Find the limit. √x² x² - 9 lim xx 5x 15

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Q: Solve for x:  log x + 2 log 2 = log 20 - log 10  and show all workings.

A: Solve for x:  log x + 2 log 2 = log 20 - log 10

Q: 1. Find lim x2-x² 1 x3 8 - 4x +4

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Q: (2xy-3x²) dx + (x ² + 2y) dy = 0

A: As we know that; The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution…

Q: 3x² + 3x - 1 6x³ - 17x2 - 4x + 3

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Q: Show that the function f(x)= x^3 − 15 cos(pi x) + 1 has three zeros in the interval [−4, 4]. Do not…

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Q: 7/2 4 cos 0 3+2sin -de 0 30

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Check for exactness and obtain the general solution. 1. x(3xy - 4y³ + 6) + (x³ − 6x²y² - 1)y' = 0

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Q: Stopping Distance A car is traveling at a rate of 50 feet per second when the brakes are applied.…

A: The Solution is given below:

Q: Ja 3 JU 3. If B = f(x)-2g(x), then B'(0) = ?

A: Given, B=f(x)-2g(x)

Q: . Determine the W3 fourth root of 16+16i in exponential form. COMPLETE THE MISSING THE BLANKS FOR…

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Q: In the video, the water level was 15 milliliters before adding the chain, and 20 milliliters after…

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Q: (k/x². x 2 -1 < x≤2 x ≤-1

A: If the function is continuos at a point then the left hand limit and right hand limit of the…

Q: The failure of several O-rings in field joints can result in a fatal space shuttle crash. Data from…

A: For the asymptote function become infinite. We can solve this as follows,

Q: question 14. y' - 5y = e5x, y(0) = 2 answer 14. y e5x (x + 2) =

A: The given initial value problem is: y'-5y=e5x ;      y(0)=2

Q: (132) 3 WHAT DEGREE?

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Q: Use the graph of the function f shown to estimate the indicated quantities to the nearest integer.…

A: Given graph we have to find different limits.

Q: Problem 2 A Classify the critical points of the following function (in other words say if they are…

A: The given function is: f(x,y)=x2+y2-2y

Q: lim √x+15 cos (x + 4) X--4t

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Q: The graph of the function f satisfies lim f(x): = x→4 -3 -18 f(x) 2 7 - Note: You can click on the…

A: First we find equation of given function. Given function is a straight line.