Q: Use the given graphs to sketch the parametric curve x=f(t), y= g (t). x=f(t) y =g(t) 2 2 -1 2 -2 -1 ...
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Q: a) Kindly find out if this series is whether convergent or divergent. b)Explain and justify the answ...
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Q: Use sigma notation to write the Taylor series about x = 7 for the function. 1 x + 5
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Q: Determine if the equation forms a circle. If so, state the radius and center. (a) a +y - 4x + 10y + ...
A: (a) x2+y2-4x+10y+2=0comparing with general form of eq of circlex2+y2+2gx+2fy+c=02g=-4⇒ g=-22f=10⇒ f=...
Q: The frequency F of a fire truck siren heard by a stationary observer is given below, where i v repre...
A: For the solution follow the next steps.
Q: 18) 4y"+4y'+17y=0
A: Given: 4y''+4y'+17y=0 So, we can also write as; 4D2+4D+17y=0 The auxiliary equation is: 4m2+4m+17=0
Q: x = et – 1, y = e2t a) Eliminate the parameter to find a Cartesian equation of the curve.
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Q: 10. Vx – 1dx 15 32 32 b. 15 a. 32 d. none of the choices C.- 15
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Q: Suppose a population of size N is exposed to a contagious disease. If t is the time in days and y is...
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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,...
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Q: (lx] + 3 , ={-2x (6x +2, I<-3 Q4) Check the continuity of f(x) - 3 <x< 3 x2 3
A: topic - limits and continuity
Q: +oo 4 Determine if the series > converges or diverges. If it converges, find its sum. n² + 4n + 3 n=...
A: We will solve this question using limit of comparison test.
Q: 1. 3 2 a) Find lim f(x), lim f(x) and lim f(x) b) Find f(1). c) Is f continuous at x = 1? Why or why...
A: We have given figure. And we have discuss about limit and continuity at some certain point.
Q: Statement Equation X and inversely as cube of W. z = KM³N the product of r and t and inversely as W ...
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Q: D. A student attempts to solve the differential equation dy %3D ry' with the initial condition that ...
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Q: f(x)=6x-10 , g(x)= x^2+3x+8 (gof)(-2) = 55 none of these 25
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Q: Solve the following equation for 0 on the interval [0, 360°). 7V3 cot (0) + 4 = 25 Enter your answer...
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Q: Exercise 5. (From Ira Rosenholz in the Problems Section of the Mathematics Magazine, Vol. 60 NO. 1, ...
A: This is a problem of maxima and minima of the function. Based on the first and second derivative tes...
Q: I. Use the limit of the rates as Ax approaches zero. Ax 2х-3 4. y = ; Зx+4 引
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Q: B. Use the properties of continuity to determine where each function is continuous. 1. f(x) = 2x-x3 ...
A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as...
Q: Find the radius of convergence and the interval of convergence. k + 2 Radius of convergence: 1 Inter...
A: To find the radius of convergence and interval of convergence use the following series tests. The c...
Q: Given vector Á = -3î + 4ĵ and B = î + 2j. Find vector V where magnitude is 3 and the vector is %3D p...
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Q: () + () - 2 2 Write the equation of the ellipse 25 · x² + 9 · y? = 225 in standard form 1 a
A: Given ellipse 25x ^ 2 + 9y ^ 2 = 225
Q: What is the maximum value of f(x) = x³ + 3x² -2 ? Answer:
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Q: If y=3xe , then what is d²y. 3x dx 2
A: Let's find.
Q: Determine whe ther the series is Convergent or divergent.write the exact test that you Use. n=2
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Q: A 4-meter length of stiff wire is cut in two pieces. One piece is bent into the shape of a square an...
A: Length of the wire = 4 m, One piece is bent into the shape of a square and the other into a rectang...
Q: The result of the integral dx (x + 2)(x + 1) is equal to Select one: O a. None of these O b. In|x + ...
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Q: Find an explicit formula for the sequence 1/2,-1/3,1/4,-1/6....
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Q: Use a software program or a graphing utility with matrix capabilities to find the determinant of the...
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Q: For each function, determine whether it is a polynomial function. Is the function a polynomial? Func...
A: Check each function that it has positive integer powe of x or not in its each term.
Q: Atone com emony cae phone plan tr2500. indudes 0 i pan2 pe mee tdn mi The ting tucon ges the atly t ...
A: The function representing monthly cost for a subscriber C(x)=25.000≤x≤35025.00+0.25x-350x>350 x i...
Q: 4.у%3D (2х — х3)(2х + 1)
A: Follow the procedure given below.
Q: VI. Give the Maclaurin series expansion of f(x) = ln(2 – 3x). Determine its interval of convergence....
A: Note that, the Maclaurin series of ln (1-x) is: ln (1-x)=-x-x22-x33-x44-... ...(1) which i...
Q: Evaluate the following integrals (You need to show all your works) Question-1 (. 10 sinx (-2 cosx+2)...
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Q: Find the number(s) b such that the average value of f(x) = 6x² – 50x + 82 on the interval [0, 6] is ...
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Q: The hypotenuse of a right triangle is 14 m. Find its perimeter if its area is a maximum. O a. 44.8 m...
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Q: 4. The image in the region below is revolved around some line. Set up, but do not evaluate, integral...
A: Solution
Q: Find the absolute maximum value of f(x) = 2x In and say where it is assumed. %3D | The absolute maxi...
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Q: 28 Σ
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Q: 2. Which of the following is correctly matched? O z'y" - e"y" + sin r(y') = 0: linear, third order O...
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Q: A 10 kilogram object suspended from the end of a vertically hanging spring stretches the spring 9.8 ...
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Q: The number of computers N (t) (in millions) infected by a computer virus can be approximated by 2.2 ...
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Q: ind vector V such that the vector has a length of 16 and makes an angle of pi/3 with the x-
A: Topic = Vector
Q: Find the derivative of 4x - 9y = 17 9x y' = 4y -4x y' = 9y 9x 4y 4x 9y
A: Given problem:- Find the derivative of 4x² - 9y² = 17
Q: 0. Find a point on the line 3x +4y -25 =0 which is closest to the origin.
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Q: Consider a 60-N weight suspended by two wires as shown in the accompanying figure. If the magnitude ...
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Q: (2×+1)² dx 2x
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Q: coth? (x) – csch2(x) = 1
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Q: Find the indicated derivative by finding the first few derivatives and recognizing the pattern that ...
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- Compute cosh x and tanh x, assuming that sinh x = 0.8.verify that sinh x and cosh x are derivatives of each other. Verify: (cosh^2)(sinh^2) x = 1 sinh(x+y) = sinh x cosh y + cosh x sing yThe Smith's invest $10,000 in an account that grows to $12,000 in 5 years. What is the annual intrest rate r if the interest is compounded; (a) Quaterly (b) Continuously Show all work possible.
- Determine the length of the arc y=ln(cos x) for 0≤x≤π3.If a current I passes through a resistor with resistance R ,Ohm’s Law states that the voltage drop is V= RI . If V isconstant R and is measured with a certain error, use differentials to show that the relative error in calculating is Iapproximately the same (in magnitude) as the relative errorin R .Use differentials to estimate the amount of tin in a closed tin can with diameter 8 cmand height 12 cm if the tin is 0.04 cm thic
- ne side of a right triangle is known to be 150 cm long and the adjacent angle is measured as π/ 3 radians, with a possible error of π/60 radians. Use differentials to approximate the maximum possible error in computing the area (in square centimeters) of the triangleFind the exact length from 1 to 2: y=((1/4)x^2)-(1/2)ln(x)find a particular solution yp of the given equation. primes denote derivatives with respect to x. y"-4y= coshx