edu/courses/49369/assignments/325601 ations).pdf 3. f(x) = 2x2 - 10x - 5 %3D

Q: dz 22. Evaluate the definite integral Hint: Trigonometric Substitution 2zv9z2-4 0.

A: To evaluate: I=∫03dz2z9z2-4...(1)

Q: Find the General Solution: y" +y' - 6y = 2x

A: The given equation is a second order linear differential equation having constant coefficients. The ...

Q: (b) If u =x cos y+ye", where x = s+2t and y = st, prove that %3D ди ди 2 (s – 21) (x² siny – xye" – ...

A:

Q: floor refinishing company charges $1.87 per square foot to strip and refinish a tile floor for up to...

A: (a) To find: The equation for the amount C they will charge to refinish a floor when x≤210 Given inf...

Q: dx xVxt-8

A:

Q: 3 1-x²-y² e-3(x²+y²+z²)² dz dydx 1-х2 a) Evaluate e-3(x²+y²+z?)² dz dydx

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Q: eliminate the arbitrary constants. x = k + ct, y = c2t2

A: Eliminated k and c and form a single equation.

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A:

Q: Find the curvature of y = cos x at the point (,). Then find the equation of the osculating circle at...

A: To find: The curvature y=cosx at the point π4,22 also find the equation of the oscillating circle at...

Q: SOLVE THE FOLLOWING DIFFERENTIAL EQUATIONS. 1. siny dx + (x - sin? y)dy=0

A:

Q: Graph the line x - 2y = 4 and find its intercepts. %3D

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Q: Find the General Solution: y" - 3y' + 2y =e*

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Q: 2 2. x = k +ct y = c²t²

A:

Q: Using the notations A, BA, B and CC to denote the angular measure of the interior angles of the tria...

A: We know, 2ab cos C = a² + b² - c²  So, 2ab (- sin C) (∂C/∂c) = - 2c  So, (ab sin C) (∂C/∂c) = c  So,...

Q: Solve the differential equations. (y Jri i y²) dx xdy When x=V3, y = 1

A: y-x2+y2dx-xdy=0

Q: 용 -6 -5 -3 -2 3 6 -2 -4 -5- -6 -7 lim f(x) = Enter the limit. If the limit is o, enter oo. If the li...

A: Topic:- limits   

Q: e

A: We need to evaluate integral.

Q: Solve the differential equation: (y- sqrt (x²+ y2) )dx= xdy when x= sqrt 3, y=1 Please also state ...

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Q: Determine the Mc Laurin Series Expansion of the function and express the terms in power series formu...

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: Assume cos(t) = - where <t <a. Compute the following %3D cos(-t) = sin(t) = sin(-t) =U sin(-t) + cos...

A: topic - trigonometric ratios sin(-x)=-sin(x) cos(-x)=cos(x) sin2(x)+cox2(x)=1

Q: Solve method of undetermined coefficients using (D+AD+8)Y 3X t, z 13e +50X when x-0, y=0, Y=D0 ゾーo

A:

Q: Find the unit vector i in the direction of the vector v = (6, - 1). Type your answer in component fo...

A: v→=6,-1v→=36+1=37

Q: 11. у" - у" - у +у%3D0

A:

Q: dy 2. x + ( 1+x)y e -Xsin2x dx

A:

Q: dy = (y2xe^ - 3x²y)dx

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Q: What are the critical numbers of the function? f(t)=8(t^2/3)+t^5/3

A: We have to find critical numbers.  

Q: The curve y+1=x< is rotated about x-axis. Which of the following is/are true? O A. V= 16TT /15 O B. ...

A:

Q: rite the nrst erms of sec ice: {Vn² + 2n – n}-1 +oo Determine whether the sequence converges, and if...

A:

Q: x2 + 8x + 15 if x 2. lim f(x). x→2+ Find 15 20 30 35

A:

Q: DEGREE

A: We have to determine the order, degree and linearity of the given differential equations according t...

Q: and stra ight and x:8 Let R be an area enclosed by a curve. : 1 Using the disc method, which is the ...

A:

Q: The terminal side of an angle 0 in standard position lies on the line in the given quadrant. Find th...

A: The equation of the line is y = 2x and the terminal side of the angle lies in quadrant III

Q: 8 6. Let A -4 -2 Find two different diagonal matrices D and the corresponding matrix S such that A S...

A: Given:    2x2 Matrix is given

Q: A hole is drilled through the center of a sphere x² + y² + z² = R,², leaving a ring-shape solid. If ...

A: The radius of the sphere is 'Rs' and radius of cylindrical driller is 'Rd'. When the cylindrical por...

Q: csc 60° (Simplify your answer, including any radicals. Use integers or fractions for any numbers in ...

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Q: h> ח) tan x

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Q: Lesson 9 1. Consider the graph of f(x) shown in the figure. Investigate the continuity off(x) at the...

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Q: Determine the volume of the rotating object using the shell-tube method Volume ( πr2h) Area bounde...

A: Given

Q: solve using variation of parameters or reduction of order (D^2 +1)y = tanx

A: Let's find. 

Q: 4. dy/dx = sec ²xsec³y

A:

Q: (D²+1) y 4 see X . ニ

A: 1. We know, ∫secnxdx=n-2n-1∫secn-2xdx+secn-2xtanxn-1   Given differential equation, D2+1y=sec4x........

Q: 0. Find the area of the triangle with the given side lengths. Round your answer to one decimal place...

A: Given graph :- Find the area of the triangle with the given side lengths. Round your answer to one d...

Q: Solve for the orthogonal tragectories y²= 4x (1- kx) %3D

A: This question is based on differential equation.

Q: 3. Problem 2. Is the matrix a linear combination of the matrices 2 and Justify your answer.

A: Given matrix  3002, 1001 and 1000

Q: Evaluate the integral. 8t3/2i + (t + 8)vtk) dt

A:

Q: 22. State True or False. Let f(x)=sin'(x) + log(x) then domain of f(x) is (-*, ). a) True b) False

A: To check whether the statement is true or not. The statement is Let f(x)=sin2x+logx then domain of f...

Q: For real number p, let f and g be defined by f(x)= e¬*x³ and g(x)=1/xP, respectively on [1,0). f(x) ...

A:

Q: 10) Find lim [ g (x-2) / f(x) ] = _ A) 3/ 7 B) 1 C) 7 D) 7/ 3 lim g(8x-f(x+2)) = X 1 11) Find A) 1 B...

A: We have to find the value of the limit                                  limx→3g(x-2)/f(x)       and ...

Q: dy 2y_(x+2)² %3D dx x2 -4 x² -4

A: