Find the area of the region bounded by the parabola y = 2x2, the tangent line to the parabola at (3, 18), and the x-axis.

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Q: bAL UATE LIMIT: 3x - 2x ズーラ- z +22+8 lim 3x え→ D

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

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A: The given function is  f(x)=x3/5

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Q: x) = 9x - 33x + 19x – 3, given that 3 is a zero.

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A: Given query is to find the dimensions of the rectangle.

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Q: SOLVE: 100е0.001t p(t) 9 + e0.001t Where t=50 PLEASE SHOW ALL WORKINGS

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Q: If x2 + y? = 169 and dy/dt = 5, find dx/dt when y = 12. (Enter your answers as a comma-separated lis...

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Q: Your monthly profit (in dollars) from selling magazines is given by P = 7x + Vx where x is the numbe...

A: Monthly profit (in dollars) from selling magazines is given by the function,        P=7x+x Where x i...

Q: p + q N = p = u + vw, q = v + uw, r = w + uV p + r aN an aN when u = 4, v = 3, w = 5 au' av' aw ƏN 1...

A: We have to find the derivative by chain rule As per guidelines we have to solve one question

Q: Determine the particular solution. dy –! = ; x = 1, y = 0 = ex dx

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Q: values

A: We will find the value of x between 0<x<10.

Q: [3, 5]. - Calculate Rg for f(x) = 7 – x over R8

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Q: If ye – 6y = 5, find dy/dx. dy %3D dx

A: yex-6y=5y(ex-6)=5y=5ex-6Differentiate w.r.t x

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Q: 3) passing (-1,-2) and mrmal to y-2x +4 = 0

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Q: g(b). Use the Substitution Formula, -g'(x) dx = f(u) du where g(x) = u, to evaluate the following in...

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Q: QuestionC):- Find Domain the next funclions:- 2) fex) = log 2x-4) x-4 3) fix)= ln Cxa) + u) frn)- 1-...

A: We have to find the domain of the given functions.  

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Q: If xe = 1, find dy/dx. dy dx

A: The detailed solution mentioned in step 2

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Q: Find the missing coordinate of P, using the fact that P lies on the unit circle in the given quadran...

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Q: The rectangles in the graph below illustrate a left endpoint Riemann sum for f(x) = (13/x) on the in...

A: The graph of the function is fx=13x over the interval 2,6

Q: Write the equation of the tangent line to the curve at the given point. 4x2 – 2y2 + 3xy – 3x = 26 at...

A: We can find the equation of tangent line to the curve at the given point in the following steps.

Q: A. y II

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Q: Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS. ye2xdx = (4 + e2x)dy

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Q: Let a, b, and c be three-dimensional vectors. Identify whether the expression a x (b x c) will resul...

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Q: Evaluate the definite integral. Use a graphing utility to verify your result. • T/4 6 – 6 sin2 0 de ...

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: X 3 4 F(x) 0.5 0.3333 0.25

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Q: Use areas to evaluate the integral f(x) = 3x + 9-x on the following intervals. (a) (-3,0] (b) [-3,3]...

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Q: sin -x/3) dx xp. Evaluate the integral| 19-x sin(x/3)dx -1 dp, %3D X-6/ 9-X

A: We have to find integral

Q: For F = (3xyz^2,y^2sinz,xe^(2z)). Find ▽⋅F and ▽xF.

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Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence con...

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Q: 3. Find g if g'(x) = 8x(x® – }) and g(2) = 3. %3D %3D

A: We will find g. 

Q: Find the dot product of the following vectors u and v. %3D

A: The dot product of u and v Vectors is -16

Q: A piece of wire of length 61 is cut into two pieces. One piece is bent into a square and the other i...

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Q: Find the directional derivative of f(x, y, z) = xy + z at the point P = (2, –6, –-1) in the directio...

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Q: Please illustrate the difference between a function being continuous and differentiable by presentin...

A: We have to  illustrate the difference between a function being continuous and differentiable functio...

Q: Give two other polar coordinate representations of the point, one with r 0. (r, 0) = (3, – 2.14 X )...

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Q: A small college had enrolled 319 female freshmen and 240 male freshmen for the upcoming semester. Ho...

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Q: Convert the equation to polar form. 3x = 3y Зу 3r(cos 0 – sin 0)

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Q: I using the following values. '4 r4 х dx 3D 6, 2 = 60, 2

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Q: In a local art museum, a moving spotlight projects geometric figures on the wall in front of it. The...

A: Given that the acute angle connected to the base increases at a rate of 3 degrees per second.

Q: Evaluate ]] 6z°dxdydz , where V – is the region below 4x+ y+2z=10 in the | V first octont

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Q: The rectangles in the graph below illustrate a right endpoint Riemann sum for f(x) = + 2x on the int...

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