수) +sin?y-0 2 (fy) dx dx

Q: If f'(x) = x(x – 1)(x + 3), then f(x) has a local minimum at: Select one: O a. ? = 0 only O b. x = -...

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Q: y = sin x ,x = 0, y = 1; about y = 1. %3D

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Q: Find the derivative of the function y = 7 tan(4x). dy %3D dx II

A: Given: y=7tan-14x   As we know that; The chain rule; fgx'=f'gx·g'x The Power law: ddxxn=nxn-1 And c·...

Q: x+2 3. Use derivatives to determine where is the function f(x) = x²-4 is increasing and decreasing. ...

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Q: sing matrices тat x + 2y = 5 x +y =3

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Q: Use the following information to find C and rewrite the solution to the initial value problem. y' +y...

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

A: Given the situation The rate of change of the radius r of the snowball is inversely proportional to...

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

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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: cm/min

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Q: A street light is at the top of a 13 ft tall pole. A woman 6 ft tall walks away from the pole with a...

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Q: SLx dxdy Evaluate the following double integrals by converting to polar coordinates.

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points (5...

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Q: 14. What is height of the isosceles triangle with the greatest area that can be inscribed in a circl...

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Q: Approximate the sum of the series correct to within 0.00001. (-1)" n= 1

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Q: 4. Find the volume created by the rotation round the x-axis of the part of the curve y² = 3x %3D bet...

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Q: 1. Using the Root Test, determine whether the series (-1)"en: sin 2n '(금) is absolutely convergent, ...

A: This is a problem of series and sum calculator. Based on the general formula of series we will answe...

Q: Let D be the trapezoidal region in the ry-plane bounded by the graphs of z = 0, y = 1, y = z and y =...

A: We have to solve for the area by integration. 

Q: 6. Calculate the integral in parts: Je (2x + 4) cos(4x) da.

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Q: (a) For what values of x is the following series convergent? 00 enx n=0 (b) Find the value of x that...

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Q: 4. S 2z3 el-z dz 5. S Vx In(Vx) dx Vr3 6. Si, Inx dx

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Q: Calculus

A: Topic:- calculus

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat...

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Q: Find a set of parametric equations for the line passing through the point (4, 0, 7) that is parallel...

A: topic - equation of a line

Q: Determine where the function is concave upward. ​   ​f(x)x^4-2x^3+7x+5

A: Given: - The function is, f(x)=x4-2x3+7x+5 To determine: - The concave upward of the given function.

Q: ind any critical numbers for the function f(x) = 6x - 3x +8 and then use the second derivative test ...

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: uation of the plane that contains the lin y = 5+3t, z =-1-4t

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Q: R= {y = x^3 + 1, x=1, x-axis}   Can you help me answer this? And explain how did you get the answe...

A: Solution) R= {y = x 3 + 1, x=1, x-axis} We find the intersection point  y = x3 + 1 When  x = 1 y = 1...

Q: piane :x = 3 - t, 2:x = 8+ 2 s, y y = 5+ 3t, = -6- 4s, z = 5+s z = -1-4t %3D

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Q: Find the Taylor polynomial T3(x) for the function f centered at the number a. RW = T3(x) - Graph fan...

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Q: e dx

A: Definite integration

Q: Let f(x) = x and compute the Riemann sum of f over the interval [7,8], using the following number of...

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Q: 1. Let f (x) = x (cos(2a)+ sin(3x)). a. Find the average value of f (x) for 0 <x < T. Show your work...

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Q: Find the specific nth term in the expansion of the binomial. (x+y)^15, n = 4

A: topic- binomial series

Q: $.Evalnate. the fellawing.int.egral.s. .e र र्य I dxdydz. Ans.s.1. a.. 1. #14 In csecy) ,2Z b. ff é ...

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Q: Sketch the region bounded by the given curves, then find its area. 1. у%3D х*, у%3D2х

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

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: Determine any planes that are parallel or identical. (Select all that apply.) O P1: -120x + 60y + 90...

A: We need to find planes that are parallel.

Q: Calculate the fluid force on one side of the plate using the coordinate system shown below. Assume t...

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Q: Graph the system of inequalities. Rewrite each inequality into y=mx+b form 4x+ 3y>-6 I-3y<-9

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Q: Use an iterated integral to find the area of the region. dy dx = y 10 9 8. 7 6 5 4 3 2 1

A: As we know that; The equation of the line when it passes through the points x1,y1 &amp; x2,y2 y-y1=y...

Q: Determine the equation of the plane that contains the lines Li and L2. L: x = 3- t, L2: x = 8 +2 s, ...

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Q: 2. If y = xlnx,

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Q: etermine if the series is convergent or divergent. Show your work, and clearly state the test used n...

A: To test the convergence of given series.

Q: Use the Laplace transform to solve the given initial-value problem. dy — у %3D 1, у(0) %3D 0 dt

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Q: S 3rsinh (x²) cosh(x²)dr

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Q: Determine if the series is convergent or divergent. Show your work, and clearly state the test used ...

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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: Consider the function f(x) = 2x3 – 6æ² – 48x + 3 on the interval [-5, 8]. Find the average or mean s...

A: mean value theorem