e12t S. dt V4e6t–1

Q: Solve the linear differential equations (D5- 2D3- 2D²-3D-2) y =0

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Q: Solve the first order differential equation. (x3 + y4) dx + 8y3xdy = 0, when x = 4, y = 1/2

A: Explanation of the answer is as follows

Q: Given the curve y=2x^0.5 and line x =y. Find the area bounded and the  distance from the x axis to t...

A: Given the curve y=2x^0.5 and line x =y. To find: Find the area bounded and the  distance from the x ...

Q: Draw the graph of the following functions and give the domain  and range of each.

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Q: 9. ſ csc 3x dx 10. S sin x e cosxdx CoSx

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Q: I Evahuate and solve the linear differential equations (D5- 15 D3+ 10D2+ 1. GOD - 72)y = 0

A: 1. (D5 - 15D3 + 10D2 + 60D - 72)y = 0  ......(1) This is fifth order homo geneous equation. The equa...

Q: de +5x +6, dt / æ dt = 4t where: x(0) 2

A: It can be solved using laplace transform.

Q: Find the values of c that make f continuous everywhere: x? – c2 if x 8 smaller c = larger c = Use a...

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Q: b) S sin 2 x cos x dx

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Q: Solve the first order differential equations 1 (x³ + y4)dx + 8y³xdy = 0 when x = 4, y %3D | 2

A: differential equation

Q: Determine if continuous f (x) = V4-x at x=0 %3D

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Q: Which of the following answer choices give the equation of an asymptote for the graph of f(x) = tan ...

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = arcsec 4x ...

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Q: SOLVE THE FIRST ORDER DE. dy – yln(yecosx)dx = y sinx dx

A: dy-yln(yecosx)dx=ysinxdx

Q: Which of the following answer choices give the equation of an asymptote for the graph of f(x) = cot ...

A: Use the definition of asymptote 

Q: Solve the first order differential equation. dy - y ln(y ecos x) dx = y sin xdx

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Q: Solve the first order differential equations dy – yln(yecosx)dx = ysindx

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Q: Use variation of parameters to solve y'' - 7y' +10y= e^2x.

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Q: C. MULTIPLE CHOICE. Write the letter of the correct answer. 1) Which of the following is a critical ...

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Q: On the graph of f(x) apply. = csc x and the interval [0, 2n), for what value of x does f(x) = -1? Ch...

A: Given  f(x) = csc x , x∈[0,2π) csc x  is negative in 3rd and 4th quadrant  

Q: xe-x*dx dp.

A: ∫-∞ ∞ xe-x2dx  

Q: . Find the area of the surface generated by revolving the given curve about the -axis. x = 9y + 1,0 ...

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Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) the line throug...

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Q: Find distance between two lines x = 1 + t, y = 1 + 6t, z = 2t and x = 1 + 2s, y = 5 + 15s, z = -2 + ...

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Q: 3x5+x*+2x3+3x²+18 f(x)= х2—24 Solve for the lim f (x) Uusing the following methods: X→5 a. Table of ...

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Q: For following points please plot the pointsand find the distance between the points and find the mid...

A: We know that, Distance= √((x2-x1)²+(y2-y1)²) Mid-point= ((x1+x2)/2,(y1+y2)/2)

Q: 1 n = 2

A: Telescoping series are series in which all but the first and last term cancel out.

Q: Solve the following ordinary differential equation using the method of variation of parameter. e2t y...

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Q: (x+ x+)dx + By xdy 2. (3x-y-4)dy - (x+y-4) dx a0 1. when XE4, Y=

A: Topic:- differential equations  Note:- as per our guideline if more than one question uploaded than ...

Q: Determine the direction in which f has maximum rate of increase from P. S(x. y. 2) = x²y/z, P =(-1,2...

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Q: Evaluate the difference quotient and simplify the result. h(x) = x2 + x + 5     h(x + Δx) − h(x) Δx...

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Q: f(r) = sin x cos z %3D

A: Topic:- derivatives

Q: Evaluate : 1) | cos x 3) [ cos x 2) [ ,cot ydy sin' x 1+ sin x 7/4

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Q: Show that V is a subspace of R3: V is the set of all (x, y, z) such that z = 2x + 3y

A: Show that V is a subspace of R3 : V is the set of all (x,y,z) such that z= 2x+3y.   

Q: dæ + 2x +5/ x dt = 1 1 where: x (0) =0 dt

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Q: 2. (3x-y-4)dy -(x+y-4)dx=o

A: Given :

Q: f(x)=x2+9   g(x)=4x (f+g) (f-g) (fg) (f/g)

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Q: 15

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Q: ds = f(t) (m/sec) of a body moving along a coordinate line. The accompanying figure shows the veloci...

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Q: Verify that f has an inverse function. Then use the function f and the given real number a to find (...

A: f(x)=18x5+5x3; a=-9

Q: sketch a graph of the function f(x)=2|x-4|-2

A: We can sketch the graph of the function by taking necessary points as below.

Q: Evaluate the integral. 1 2187 19683 3e° 2187 e 4

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Q: 55-68, evaluate the sine, cosine, and tar of the angle without using a calculator. 58. 675° 2n 64. 3

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Q: Determine the convergence of the following series

A: let ∑an n=1∞ be an seriesconvergence of the series can be detremined the ratio test.iflimn→∞an+1an &...

Q: The velocity V (in centimeters per second) of blood in an artery at a distance z cm from the center ...

A: Given: V= 500(0.04 - x2 ) for 0≤x≤0.2

Q: 1 -1 1 -1 1!' 3! ' 5!' 7! 9!

A: The nth term is given below

Q: /4 sec? Vwdw a) b) sin 2.xcos xdx c) f tanh xdx

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Q: Find the first and second order partial derivatives for z x2 sin (3x + 2y).

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Q: television camera at ground level is filming the lift-off of a space shuttle at a point 750 meters f...

A: solution:-using pythagorean theorems2=7502+h2h=s2+7502applying trigonometric ratiosinθ=hssubstitutin...

Q: z = x2 + y?, y = x²,y = 1, z = 0.

A: