3 Find the arclength of the curve y = (x² - 4) on [2,4].

Q: Complete the parametric equations for the line where the planes - 7x + y + 3z = 3 and 4x7y + z = 23…

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Q: A rectangular field is to be enclosed with a fence. The available fencing material is 150 meters…

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Q: Determine the scalar equation of the plane containing the point (-2, 9, 7) and 9. perpendicular to…

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Q: Suppose f(x) = 3x² + x - 3x²+x-6. Compute the following: A.) ƒ( − 4) + ƒ(1) = = B.) f(-4)-f(1) =

A: Given f(x)=3x2+x-6f(-4)=3(-4)2+(-4)-6=3(16)-4-6=48-10∴f(-4)=38

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Q: XNN y= 2²/2+3

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Q: Question 4 (a) Solve the following: √4x² dx (b) Explain with the aid of a sketch how this value can…

A: Let's solve given integral.

Q: If P(x) is some polynomial then ΣP(n)x" has radius of convergence 1. n=1 Select one: O True O False

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Q: 16. √(16-9x²) dx 17. dx/ (9x² + 4) 18. sin³ x cos x dx 19. f (secs x) dx/csc x 20. Stan² x dx

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Q: 3 M8 n=1 (Inn) 13/2

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Q: Given the function f(x) = -2x + 6x within the interval [0,8], at what values of x do the absolute…

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Q: y' 1+x² x Y

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Q: Find the Jacobian for z = ² + 8uv and y = 6uv². Jacobian (equation format)

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Q: Q14) The solution of y'" + y = 0 by using power series method, is: a) y(x) = 40 + a11- + ...) 41 51…

A: 14)    Given differential equation y''+y'=0 ......................(1)    We can substitute…

Q: Evaluate the given integral by changing to polar coordinates. 4x²y dA, where D is the top half of…

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Q: 12 1= A ✩ = OÅ and √ – OẺ . Then, AC is equal to: U= = Oa)-7-7 Ob)-7 Od-+7

A: Topic:- vector algebra

Q: 3. A farmer has 6000 m of fencing and wishes to create a rectangular field subdivided into four…

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Q: An airplane is heading north with a constant velocity of 450 km/h. The plane encounters a west wind…

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Q: 1. Find the power series expansion for the following functions and find its interval of convergence.…

A: Let's find power series expansion.

Q: * The z-transform of a signal is given below,its final value z¯¹ (1 - z-4) x(z) = 0.25 (1-z-¹)² 10…

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Q: . Consider the signal f(t) 0, -1 ≤ t < 0; 1-t, 0≤t≤ 1. This signal is periodic with period 2. (a)…

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Q: Given f(x,y)=x2y³-4y, find the directional derivative at the point (2,-1) in the direction of v=.

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Q: dh dt k √h(t) ||| h(0) = 2 2 ● T.V

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Q: 46. The region between the curve y = sec ¹x and the x-axis from x = 1 to x = 2 (shown here) is…

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Q: Solve the integral shown below. Show your solutions. 3xe ²x dx

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Q: J (secs x) dx/csc x

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Q: Evaluate using Partial Fraction Decomposition: S x2 (x+1)²(x-1) -dx

A: We know, ∫dxx-a=lnx-a, for any real number a ∫dxxn=x1-n1-n, for any real number n.

Q: KIN T 2 2 6² 6³ 6² 0 0 ¢sinr do dr de

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Q: Find the limit or show that it does not exist. lim x - √x 818

A: follow next step

Q: Evaluate 1¹ 1 - cos 2x sin 2x dx In | csc 2x + cot 2x | -ln | sin 2x | +C In 1|csc 2x-cot 2x |--In |…

A: The given integral is: I=∫1-cos2xsin2x   As we know the common integrals; 1). ∫cscxdx=lncscx-cotx+C…

Q: Convert the following iterated integrals (SET UP ONLY): x² a.) [f dA from Cartesian coordinates to…

A: The simple change polar coordinate...

Q: 3) Given y(0) = 1 Over what area are we guaranteed a unique solution? Explain using existence and…

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Q: 2. Show the volume of the solid obtained by rotating about the x-axis the region 1 under the curve…

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Q: 2. A line has y-intercept 11 and 3-intercept-13. [x, y, z)= [0, 11, 0]+[0, 11, 13] C [x, y, z]= [0,…

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Q: П 2 0 KIN 2 p² sinr de dr dø 0

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Q: The integrating factor of the differential equation A. cos x B. secx +y tanx - secx = 0 i= C. ecosx…

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Q: Find the orthogonal trajectories of x = C exp (-y²). Oy=C*exp(-x) Oy=C*exp(2x) Oy=C*exp(-x^2)…

A: Given problem:- Find the orthogonal trajectories of x = C exp (-y²).

Q: 1.If f(x,y) cos(4x-2y)+ln(y² -2x) find £xy fx fxy,

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Q: How do i figure out whether this function is continuous or not (proving it) without given at which…

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Q: (b) Find d'y dx² where x + 2y = 1.

A: In this question, we want to differentiate the given expression two times.

Q: If f(x) x²-4 x -4 x = In[sin x √x² - 4], what is f '(x)? + cot x cot x + tan x - tan x

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Q: 4. The equation of a plane is [x, y, z)=[-1,-1,1]+s[1, 0, 1]+[0, 1, 2]. Find the - intercept of the…

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Q: Suppose I want to make a simple garden with 3 plots (pictured below) out of wood. y If I have a…

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Q: Please write the complete solutions. Upvote will be given! Consider the region bounded by y = x3, y…

A: Please write the complete solutions. Upvote will be given!   Consider the region bounded by y = x3,…

Q: * The z-transform of a signal is given below,its final value Z-1 2-¹ (1-2-4) x(z) = 0.25 (1-z-¹)²…

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Q: Q4: Evaluate the following integral. 7/21/2 sin y 5% dy dx Y

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Q: or each function h(x), find two functions f(x) and g(x) such that h(x) = f(g(x)) a) h(x)=√x² + 3 b)…

A: Topic:- function