2 b.f V1 + x³ dx

Q: What is the second derivative of y = 6x+ – 3x³ + x2 – 5 a. y" = 24x3 – 9x2 + 2x b. y" = 144 C. y" = ...

A: As per guidelines we will solve only  the first question  in the following step. If you want more an...

Q: Give a geometric description of the set of points whose coordinates satisfy the given conditions. x2...

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Q: Consider the following. f(x) = 12x - x2 from x = 0 to x = 6; 2 subintervals (a) Approximate the area...

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Q: Case 3: non-repeatec quadratic factor 7.x + 13 x3 + 9x Example 2:

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Q: 5 2x + 4

A: Given that a function f(x)= 5/(2x5 + 4). We find first , second,and third derivative of this functio...

Q: Question 2 --> Find the Stalionary Values of the fllcwing functions and show wheher they reecesent M...

A: Note :- These are the multiple questions and according to our company guideline we can do maximum on...

Q: 1 dx -1 2x+3 a.

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Q: Consider the function defined by f(x) = In(2a +1). %3D 1. Determine its Maclaurin series expansion. ...

A: Given that the function is fx=ln2x+1. 1) It is required to find the Maclaurin series of fx=ln2x+1. I...

Q: Given that the volume of a right circular cone is h V = n r" 3' where r is the radius of the circula...

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Q: A curve is described by the equation in polar coordinates r = 4 cos² 0. Determine r(0) and dr 57 whe...

A: To find the first solution, just use the trigonometrical identities and easily find the required sol...

Q: (0) Using xº = x = x° = 0 (0) (0) %3D Find an iterative solution based on efficiency and advantages ...

A: Let's find. 

Q: Sg(x) dx 2. g(x) 3. 3f(x) dx 5. If(x)-g(x)] dx 6. [4f(x)– g(x)] dx

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Q: Ve dx is convergent or Determine if divergent. Evaluate if convergent. x2

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Q: Find the radius of convergence and the interval of convergence. Xx' k + 2 k=0 Radius of convergence:...

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Q: 1. Find two consecutive even integers whose product is 168.

A: Find two consecutive even integers whose products is 168.     Here i attached the solution of this q...

Q: 2. Find the general solution of this system. x' = -1 -1 -1 11

A: First we calculate eigen value of given matrix then we find eigen vector. 

Q: 5. Three numbers have ratio 2:3:5 in such a way that the highest number is 3 more than CA twice the ...

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Q: 2. The sum of two numbers is 52. If the ratio of one number increase by 2 to the other number decrea...

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Q: QI) Find the volume of the solid generated by revolving region bounded by the curve (x-Jy)& the line...

A: Volume

Q: The functions represent the position of a particle traveling along a horizontal line, s(t) = 3t3 − 2...

A: for time t,t≥0 s(t)=3t3-20t2+48 t -20V(t) =dsdt =ddt(3t3-20t2+48 t -20)V(t) = 9 t2-40 t+48v(t)>0 ...

Q: Let R be the region inside the polar curve r = 4 and outside the polar curve r = 4+2 cos 0 as shown ...

A: Consider the figure given below : We need to calculate the shaded area from the above figure.

Q: If f(x)=3x^2-2, and g(x)=f−1(x), what is the slope of the curve g(x)=f−1(x) at the point (10, 2)

A: Given f(x) =3x²-2  And g(x)=1-f(x) =1-(3x²-2) =1-3x²+2 g(x)=-3x²+3 For slope of curve g(x) different...

Q: Write a chain rule formula for the following derivative. du for u = f(x); x = g(p, q, r) ar du du ar...

A: We have to choose correct option

Q: Given the graph of the cosine function f (x) = cos x, evaluate the following limits: -플 27 37 1. lim...

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Q: 교-3 with n5+3 Write an inequlity comparing for n 2 1. n3 (Express numbers in exact form. Use symboli...

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Q: Q4 Let f : R → R be the function defined by 1 f(x) = a) Is f is one-to-one? If yes, then explain why...

A: topic - onto functions

Q: Part a: Assume that the height of your cylinder is 4 inches. Consider A as a function of r, so we ca...

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Q: Question 4 x³dx (x²+2) ³ 1 A 2(x²+2) ' 2(x²+2) ? 1 1 В 2(x²+2) 2(x²+2) ² 1 +C 4(x²+2) ' 2(x²+ 2) 2 D...

A: Here, the given integral is: I=∫x3(x2+2)3dx⇒I=∫x2x(x2+2)3dx...(1)

Q: Find the sum of the convergent series. 1 8- 1+ 8. 64 Submit Answer

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Q: The following three lines do not have a common intersection: x + y = 2, x – y = 5 and x + 2y = 6. Ho...

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Q: 2ea dx (ет — 1)2 1

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Q: 1. Decide the limit: lim 2x + 3 x-3 2. Explanation

A: Solving the problem by finding the limit of the function.   NOTE :: As per our Expert guidelines we ...

Q: Let f(-6) = -5 and f'(-6) = 7. Then the equation of the tangent line to the graph of y= f(x) at r = ...

A: Given query is to find the equation of the tangent.

Q: Let R be the region bounded by the rose curve, r = 6 cos(60) as shown in the diagram below. Find the...

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Q: Use sigma notation to write the Maclaurin series for the function. 2sin Ax 2(-1)'+1 (2k + 1)! k-D0

A: Given function is f(x)=2sin(πx) Use Sigma notation to write the maclaurin series of the given functi...

Q: having

A: Please refer to the image below

Q: 11/4 x 2 2/5 ÷ (11/4 + 21/12) =

A: The given expression,       114×225÷114+2112

Q: Principal Compounded semiannually The principal represents an amount of money deposited in a savings...

A: Given table:- Principal Rate compounded  Time $ 6000 8℅ semiannually 5 years   To find:- The...

Q: Write down the matrices representing the linear transformations f satisfying the fol- lowing propert...

A: We have to write matrix representation of the linear transformation f.

Q: Find all the partial derivatives of: f(x, y) = y7 In(x²) + 9y¬3 – Vx*.

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Q: V1-(6x2+7x–2)² 3 1-(6æ²+7x-2)²

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Q: 1 -dx Use the technique of completing the square to evaluate the following integral: J x2 - 6.x

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Q: ii. find the equation of the tangent line to f at x = a. (a) f(x)=3-4x, a=2. (b) ƒ(x)=x² +x, a = 2.

A: We have to determine the equation of tangent line 

Q: Evaluate the integral. Show all of your work. 10 (x-1)(x² +16)

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Q: Use sigma notation to write the Taylor series about x xo for the function. e; xo = 7 - 7)* k! e7 k! ...

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Q: Using the method of Lagrange multiplier, determine the minimum and maximum values of f(x,y,z)=2x+3y ...

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Q: 5. Find the critical point or points for eorh of the following outonomous system. Then match each pa...

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Q: 6e 4x -e-2x 9. lim x→-o 8e4x –e2x+3e-x

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Q: 5 tet dt.

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Q: Find dy/dx by using Leibniz’s notation for the chain rule: dy/dx = (dy/du) (du/dx)  y = 6u3,u = 7x ...

A: To find dydx bu using Leibniz's notation for the chain rule: dydx=dydududxy=6u3, u=7x-4