Find the are length of the curve y² = 3x between the from x=0 to x=9 ! Use integral approximation! %3!

Q: Handwritten

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Q: Find the first derivative of 2cos(2 + x³). a. -6x² sin(2 + x³) b. -x² (sin 2 + x³) c. -6x² (cos ...

A: daf(x)dx=adf(x)dx ; where , 'a' is constant. dcos (ax)dx =-a.sin(ax) dxndx=n.xn-1 . 

Q: Find the limit of the sequence an = In(9n +7) – In n. If the limit does not exist, type "Diverges" o...

A: Solution:

Q: - y = V16 – x² and the x-axis about the x-axis

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Q: EValuate:- (sin?G coszoldo

A: On solving this we will get:-

Q: Explain the difference between the average rate of change and the instantaneous rate of change of a ...

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Q: 3s – 5 L-1 [(s (s – 5)(s + 2)²]

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Q: Consider the points A(3, –3, 3), B(4, –5,0), C(-3, –4, 0), and D(6, 2, –6). (a) Find the volume of t...

A: We have to find the volume and distance of given question 

Q: Find the sum of the infinite geometric series. If an answer is undefined, write UNDEFINED. - 216/49...

A: To find the sum of the geometric series.

Q: Sketch the curve f(x,y) = c together with Vf and the tangent line at the given point. Then write an ...

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Q: 1. Consider the sequence d = {5,-2, , 5 5 4 » 8 > 16 > •. -- a. What is the common ratio? b. What ar...

A: Given problem:-

Q: Find the area of the region enclosed by the graphs of 1 1 =0, and x = 4 y = 0, x V1– 4x? - NOTE: Ent...

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Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in...

A: Question- Find the point of diminishing returns (x.y) for the function R(x) , where R(x) represents ...

Q: Given the curve y = x² – 2 and line x = y. 1. Compute the area bounded.  a. 3.2 sq. units b. 2.6 sq....

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Approximate the following integrals using the Trapezoidal rule. c0.25 (cos x)? dx b. x In(x+ 1) dx a...

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Q: 2 y = x - 3x, y=x 3r.

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Q: Suppose c is a constant. If ) elk-1)c – 3, then k=1

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Q: The line that passes through the point (4, -2,0) and parallel to the vector (1, 2, –3) has symmetric...

A: The solution is given in the next step.

Q: alternative ax was created to prevent weälthy using creative deductions and shelters to avoid having...

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Q: Find the area of the region that hosmside the Circle r = 3COS 6 and outside the cardioid r =1+ cos 0...

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Q: 1 Which of the following functions, whose domain and b) codomain are the real numbers, are one-to-on...

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Q: What is the directional derivative of the function at the point (1, 0) in the direction of the point...

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Q: Use an iterated integral to find the area of the region bounded by the graphs of the equations. xy =...

A: Area , A = ∫∫R dydx or  ∫∫R dx dy.

Q: Write a differential equation that models the given situation. The stated rate of change is with res...

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Q: Sketch the regien enclosed by the given curueS Y = xe*

A: Question- Sketch the region enclosed by the given curves: y = x2 e(-x) & Y= x e(-x)

Q: 2. (a). Use linear approximation to estimate V143. (b). Compute the percent error in your approximat...

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Q: How many nonzero terms of the Maclaurin series for In(1 + x) do you need to use to estimate In(1.2) ...

A: A Maclaurin series is a Taylor series expansion of a function about 0.

Q: Find the area of the region between the curves

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Q: 4) Find dy given: y (1-x)(1+ x )(1+ x³ )(1+x*) dx d'y given: y= (5x -3X7x+x) 5) Find dx

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Q: Which of the following functions are solutions of the differential equation y' + 2xy = 14x? y = 7+7e...

A: Linear differential equation

Q: If an amount Po is invested in the Mandelbrot Bond Fund and interest is compounded continuously at 6...

A: Question- If an amount Po is invested in the Mandelbrot Bond Fund and interest is compounded continu...

Q: Find the derivative of the function at Po in the direction of u. 3x f(x, y) = tan -1 , P0(-2, 3), u ...

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Q: Sketch the region bounded by the given curves, then find its area. x = 8 - y^2, x = y^2 - 8

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Q: For the demand function q = D(p)%3D V481 p, find the following. a) The elasticity b) The elasticity ...

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Q: dw dw and ds 3 Assume that w =f(s° +t) and f'(x) = ex. Find dw at dw do II

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Q: Which of the following is a solution of the differential equation xy' +y = 4x? y = 14x-1 - 2x %3D Oy...

A: We can solve this problem by applying the concept of linear differential equation.

Q: 6. Graph the linear inequality on the graph. m. y2x-5 %3D %3D

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Q: Find the solution to the differential equation that satisfies the given initial condit dy dx I sin x...

A: Topic:- differential equations

Q: Sketch the region bounded by the given curves, then find its area. x = y^2, x = y + 6

A: The graph is shown below in which the chex region represent the area.

Q: Compute the derivative of the following function. f(x) = 11 e 4x f (x) =

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Q: Please do 1 and 7

A: Topic:- geometry   

Q: Find the area of the parallelogram that has u =i – 2j + k and v = 3j +k as adjacent sides. NOTE: Ent...

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Q: ydy – ydx = xdx; when x = y= 0

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Q: Write the equation of a parabola whose directrix is y = - 0.75 and has a focus at (– 8, 8.75).

A: Let's find. 

Q: Which of the following is equivalent to the surface area of rotation of the function y on the interv...

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Q: 5. The function f (x) = 2kx³ + 3x² + px – 3 has a local minimum at x = -1 and a point of inflection ...

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Q: Find the family of curves orthogonal to the family 4y2 + 3x2 = k when x > 0 and y > 0. (A) 3y2 – 4x2...

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Q: Evaluate. the. following.integrals..by.changing..the.arder. integrahian.s 2 405(x9 dxdydt a. An.s.g....

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Q: Effect of Advertising on Sales Metro Department Store found that t weeks after the end of a sales pr...

A: S(t)=B+Ae-ktB=46000(a) at t=1, S(1)=8451084510=46000+Ae-kAe-k=38510  →(1)at t=3, S(3)=6167061670=460...

Q: y

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