Used Set up, but do not evaluate, an integral for the length of the curve. y = 8 cos(x), Os xs 2x dx

Q: A function f(x) has derivative f'(x)= 3x²+ 18x. The graph of f has an x- intercept at x = -1. Find f...

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Q: 6z² + 4z + 84 The partial fraction decomposition of can be written in the form of 3 + 2x2 + 16z + 32...

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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)=x+9x+3,  x>-3, a=2

Q: Solve the first order differential equation (x2 - 3bxy + 2b2y2) (xdx + ydy) = xdy - ydx

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Q: For the differential equation (D3 + D² + 4D + 4)y = 0 when x = 0, y' = –1, y" = 5 Find when x = Tt y

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Q: lim (1+ / tan(x² – 3x + 2) X' is :- X2 (A) e (B) 1 (C) e ! (D) e

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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: At what points is the following function continuous? 2-4x-5 x#5 f(x) = X-5 6, x= 5

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Q: Find the area of the given region. Use a graphing utility to verify your result. 1 + In x3 y = y 1 1...

A: The region bounded by y=1+ln x3x between x=1 to x=2

Q: C. а, %3D 3, аn+1 2an ; untuk n > 1

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Q: For the function f(x) given below, evaluate lim f(x) and lim f(x). I-00 f(x) = cot 1 (14x + 2) !!

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Q: b) S sin 2 x cos x dx

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Q: Problem 2. A Bernoulli differential equation is one of the form dy + P(x)y= Q(x)y" (*) dr Observe th...

A: First order differential equation : Consider the first order differential equation             dydx+...

Q: 1 1 xa(1 - x)*dx = | x*(1 – x)ªdx Þ(1 – x)ªdx

A: Given: - The  equation is, ∫01xa(1-x)bdx=∫01xb(1-x)adx, That if a and b are positive numbers. To pro...

Q: Evaluate the following definite integral. sec2 dt /14

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Q: If two objects travel through space along two different curves, it is often important to know whethe...

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Q: 3. [x*e"dx x'e

A: Given query is to find the value of the integral.

Q: 1 3t(2 – t)²dt -1

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Q: Consider the following indefinite integral. 7x3 + 9x2 + 5х +6 dx x4 + 1x2 The integrand has partial ...

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Q: dx -1.4x + 0.5y, dt dy 2.5x – 3.4y. dt For this system, the smaller eigenvalue is -3.9 and the large...

A: Please see the below picture for detailed solution. 

Q: Given g(x) - √3-2x, find g(1/2+Δx) - g(1/2) / Δx

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Q: Find the cosine of the angle between the planes x + y + z = 0 and x + 4y + 3z = 2.

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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 the vectors T and N and the binormal vector B = T x N, for the vector-valued function r(t) at t...

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Q: 4. Find the area of the surface generated by revolving the given curve about the -axis. y = 7x,0 < x...

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Q: Find all points (x,y) where f(x,y) has a possible relative maximum or minimum. Then use the second d...

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Q: A company selling widgets has found that the number of items sold, x, depends upon the price, p at w...

A: NOTE: Refresh your page if you can't see any equations. . the revenue is given by

Q: An airplane is flying on a horizontal path at the height of 3,800 feet. At what rate is the distance...

A: We need to find rate of distance changing.   ddθ(cscθ)=-csc(θ)cot(θ)

Q: Suppose f(x) > 0 and that f(x) is continous on [a, b], then the expression f(c) = a Sa f(x) dæ state...

A: Given that: f(c)=1b-a∫abf(x)dx

Q: Continuity of Functions on an Interval Determine if the given function is continuous on each of the ...

A: topic - functions and continuity

Q: Example 19-24. Given log1, 654 = 2-8156, log, log10 658 = 2-8182, log10 659 = 2-8189, log 10 661 = 2...

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Q: クメ- 2 dx +2x +17

A: Given that ∫033x-2x2+2x+17dxSolution : put 3x-2=Addxx2+2x+17+B3x-2=A2x+2+Bput x=-13-1-2=A-2+2+BB=-5p...

Q: 5. Some integrals might seem complicated. But they will simplify significantly if you look at them i...

A: We know that the trigonometric identities; 1). sin2θ+cos2θ=12). sin2θ=2cosθsinθ And ∫1ax+bdx=1alnax+...

Q: Evaluate the limit using the appropriate properties of limits. (If the limit is infinite, enter 'o' ...

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Q: dz 2 zV25z2-9

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

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Q: Find the tangent to y = x-x+5 at x = 5. The tangent to y = /x -x+5 at x= 5 is y = || 2.

A: As we know that, The expression for the equation of the tangent line is: y-y1=mx-x1 Where, ''m'' is ...

Q: lo) Use a tangent plane to approx. the value of the following tunction. at the point (2.1L- 14.D) f(...

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Q: -3 if x<-1 Н: у%33-1 H: y = if -1<x<3 4 if 2<x

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Q: x² – 3 dx x +1 Evaluate

A: Given that: ∫x2-3x+1dx

Q: Evaluate the definite integral. 4. x³ + 1 dx

A: ∫122x2x3+1dx  

Q: Solve the following initial value problem: (1+x²)y/ – 2xy = (1+x²)², y(1) = 6. %3D |

A: Given:     1+x2y'-2xy=1+x22             ,           y1=6

Q: Diego mixes together three types of vitamin tablets.  Each Super Vim tablet contains, among other th...

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Q: Find the general solution to x*/ = x*y – y°.

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Q: Regarding y as the independent variable and æ as the dependent variable, find the slope of the tange...

A: We can find the slope at the indicated point as below

Q: Sketch the level curve for f(x, y) = 36 – 9x? – 12y2. '36— 9х2 —

A: Given function f(x,y)=1236-9x2-12y2

Q: 2 1 + 22 + 1 32 + 1 1 + 42 + 1 d) + + ... 12 + 1

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Q: Find the values of c that make f continuous everywhere: ´x² – c² if a 9 smaller c = larger c = Use ...

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Q: Two people run for 13 seconds with velocity functions vi = a m/s for person A and vz = 3/Tm/s for pe...

A: Topic = Algebra

Q: Find: Ex, fxx, fy, fyy, fxy, fyx F(X,9) = 2×-3yー4 %3D

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