Determine the integral that can be used to find the arc length of the curve defined by the parametric equations x(t) = -4√3t and y(t) = 4√2t+4 from 1 ≤ t ≤ 2.

Q: What is O 2x ln x O ln x d dx O4x ln x 2 ln x In x I ln t dt?

A: this is question of combine integration and differentiation first integration given after find…

Q: 15 CO X…

A: We have to slove above question

Q: Find the reference angle, the quadrant of the terminal side, and the sine and cosine of 135°. Enter…

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Q: What is the value of O e² +e-2 e² - e-2 does not exist; the function y = e is not integrable. e² - e…

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Q: Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures…

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Q: Consider the function f(x) = x²e8 f(x) has two inflection points at x = C and x = D with C<D where…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Question 3 What is the form of the particular solutiony for the differential equation y"-y= R(x)…

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Q: lim (x,y) → (1,0) lim ~x, y) + (0,0) lim (x, y) + (0,0) tan - (x ² - 4 xy + y²) Scanned with…

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Q: Find an equation for the graph sketched below B 8p KRAGEN PARAU

A: To write an equation for the given graph of a function

Q: Solve the equation. Give your answer correct to 3 decimal places. -0.09x 74 = 100 100e X =

A: Given 74=100-100e-0.09x

Q: 3. Find tan(t) dt using a u-substitution. (Hint: write tan(t) in terms of sint and cost.)

A: Given query is to find the integral.

Q: 7. Assume What is t 60 X=S X y y is the Area? + E.ON

A: We need to find area.

Q: 1-4 Find the local and absolute extreme values of the function on the given interval.

A: To find the local and absolute extrema for the given function

Q: Use Laplace transforms to solve the initial value problems in Problems 1 through 16. 1. z" +4z=0;…

A: NOTE: Refresh your page if you can't see any equations. . for simplicity use the y variable for the…

Q: 5. Using geometric series, 1 1-z =1+x+x² +· Στ TL=0 find a power series expansion for the function,…

A: To find the power series expansion of given function

Q: Approximate the derivative of the function f(x) = sin (x²) on the interval [0, 2] in steps 0.25…

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Q: 1. Determine whether the following series are convergent. If convergent, find the sum. A. B. n=1 1…

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Q: 1. Determine whether the following infinite series are convergent: A. n=1 n! (n + 2)!

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Q: Why does I1 = ln(u) in step three?

A: We have to tell why does  I1 = ln(u) in step 3

Q: A spherical solid, centered at the origin, has radius 9 and mass density d(x, y, z) = 15 − (x² + y²…

A: Given mass density:- δx,y,z=15-x2+y2+z2

Q: 13. 2п 3 14. 3 п 4

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Q: Note that the portion of the graph for −3 < x < 0 is the boundary of a circle centred at(0, 1).…

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Q: Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the…

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Q: Prove that u(xy)=x^2y is an integrating factor of the equation (3y+4xy^2)dx+(2x+3x^2y)dy=0 hence…

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Q: if xsinx=4.5, find(-x)sin(-x)

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Q: Evaluate the following integral, (x² + y² + z²) ds, √(x² + where S is the part of the cylinder x² +…

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Q: Determine a suitable form of a particular solution if the method of undetermined coefficients is to…

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Q: Assume that f"(x) is continuous on [0, 1] an ƒ(0)=1,ƒ(1) = 3, ƒ'(1) = 7. Find [xf"(x) dx.

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Q: fe-4x (e² - 1) ²³dx Se

A: The given integral is: I=∫e-4xex-12dx   As we know the common integral. ∫eax+bdx=1aeax+b+C

Q: x² 16 y² 1, find the vertices, the foci, and the equations of the asymptotes. 36 Given the…

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with the standard…

Q: Let's consider the marginal cost function C'(x) = - where a represents the level of production and…

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Q: Imagine a spherical balloon filled with gas whose volume V is increasing at a constant rate of 3…

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Q: 25-40 Find the critical numbers of the function. 25. f(x) = 4 + 3x – 1⁄2x²

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Q: Generate solution of the higher-order differential equations using different analytic techniques.…

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Q: -2 4y" +9y" - 196y - 441y = e-²¹ y(0) = 0 y (0) = 0 y" (0) = 1 into an algebraic equation by taking…

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Q: Find the flux of the vector field F = xi + e7xj + zk through the surface S given by that portion of…

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Q: Find the vertex, focus, and directrix of the parabola, and sketch its graph x² - 6x + 8y + 17 = 0

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Q: Q3. (3-2xy) dxdy is (1-9y)dy 9 55(1-y)dy a. c. 9 b. d. (9-y)dy (1-y)dy

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Q: Determine whether the series converges or diverges: Input C for convergence and D for divergence: Že…

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Q: (a) Find the local linearization of near x = 0: 1+6a f(x)= 1+6x2 1 1+ 6x (b) Using your answer to…

A: a To find the local linearization of fx=11+6x near x=0.b By using your answer to a, to determine the…

Q: a) Find the Linearization L(x) for at a = FICO f(x) = sin x

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Q: 25-36 (a) Find the intervals of increase or decrease. (b) Find the local maximum and minimum values.…

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Q: find an intergrating factor of the n for the equation form y t 2 (y² + 4xy) dx - x ² dy=0 hence…

A: Note : Since you have posted multiple questions, we will provide the solution only to the first…

Q: Calculate the integral approximation Se for √₂ 741 dx. S6 =

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Q: z = z= WE CHAIN RULE TO FIND 쓸 with x = 3rt and y= 슬 x2 + 3wxy + xxz, with x = 22 at 2t +1, yeet &…

A: We have to find the derivative.

Q: What is the general solution to the the differential equation3y"-y'- 2y = 10e*? A y=C₁e…

A: We need to solve D.E.

Q: Find the derivative of f(x) = a ab b (2²+42-10). - (25-62) (2². 6 7x +24x √ā |a| T sin (a) 5 3 2 -…

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Q: Find the value of y for the given differential equation if the value of the arbitrary constants is…

A: The given differential equation is: y''-2y'+1=(x+1)e2x

Q: Problem 6: Find the point (x,y) with x > 0 and y> 0 that lies on the curve y = 2x² and produces the…

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Q: 4.42. Evaluate Jcz dz+z²dź along the curve C defined by z² + 2z2+z = (2-2i)z+(2+2i)z from the point…

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