To prove that dx In /1+ (In x)² + In x + C x/1+ (In x)2 we use the substitutions

Q: x2 dx - 1

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Q: Part 2: Differentiate the following functions. Show your complete solution. 1.) f(x) = (x +3x)1000…

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Q: Exercise 2. Find the following limits 3x +1 1-3x² 3x +1 1) lim to 2x + 5 2) lim X+ 2x +5 3) lim x-…

A: Use limit concept

Q: 4x2-3 f (x) 2х3+x2+7

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Q: Eliminate the arbitrary constant on the given equation: y= G1r + C2e O (2? 22) y"+ (2 + 2) y- (2 2)…

A: The given equation is y=C1x2+C2e-x. We have to eliminate the arbitrary constant C1, C2.…

Q: Using the method of undetermined coefficients, a particular solution of the differential equation…

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Q: Use the graph shown to determine if the limit exists. If it does, find its value. lim f(x) X-1…

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Q: Plz solve both these are just mcqs type questions so plz solve this both

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Q: 17. y csc(5x)

A: Differentiation

Q: x-1 y = log x+1

A: Topic:- derivatives

Q: The indicial equation of the differential equation x²y" + (x2 – 3x)y' + 3y = 0 about the regular…

A: Given

Q: The solution y, of the homogeneous differential equation y() + 36y" = 0 is O None of them O c_1+c_2…

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Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

A: Given problem:-   Find the surface area of the plane ( 15x 5z+20y=35) if it is in the first octant

Q: Choose the values that are in the range of y= arccot x Select all that apply. NEXT QUESTION O ASK…

A: Given query is to find the values which are in the range of the function.

Q: the derivative of f(x) = x% (x% +x% + x%

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Q: convergent or divergent. Please provide detailed solution. a) : E 10" n=1 (n + 1) 52n + 1 00 -5n 2n…

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Q: Find the limit algebraically. lim 1 x--4 Select the correct choice below and, if necessary, fill in…

A: The solution is given below

Q: Which of the following is the differential equation of the family of Straight lines with slope and x…

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Q: The graph y = cos x, given the domain has x-intercepts at 2 37 and 2 2 O T 3R 2 and 2 2 2 37 and 2…

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Q: Find the general solution of the given ODE * dy 3z+2y dr 3= -23x+2y +c 2=-23x+2y +C O Option 1…

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Q: 6. 19-x

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

Q: Use the accompanying graph of y = f(x). Does lim f(x) exist? If it does, what is it? x-4 (6, 2) (10,…

A: We need to find limit.

Q: 1. Find the smallest distance from the point (0, c, 0) to the surface y = x² + z².

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Q: Find the limit as x approaches c of the average rate of change of the following function from c to…

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Q: Without evaluating the constants, the partial fraction decomposition for 5x² – 3 f(x) (х3 — 4x)(x2 —…

A: Finding the partial fraction decomposition without evaluating the value of constants

Q: The technique used to prove that x4 - 2x + 2/2tan-1 3 X + C 2. dx = - - x² + 2 is Long (Euclidean)…

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Q: In(x®y®) = x² +y³

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Q: An auto weighing 1,500 pounds is on a street inclined at 10" with the horizontal. Find the force…

A: Let's find.

Q: Consider the following. u = 3i + 4j, v = -7i - j (a) Find u · v. -25 u v = 5- V 50 (b) Find the…

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Q: 5х + 3, х < 1 f(x) = {x? + 4, 1<x< 2 ( x², x2 2

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Q: Using appropriate trigonometric substitution, dx xV4 – x² is transformed to S sin 0 d0 sec 0 d0 2 2…

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Q: The graph of f is shown. y y = f(x) 6 12 18 24 Evaluate each integral by interpreting it in terms of…

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Q: If f(z) = 4,/ In(x), find f'(x). Find f'(2).

A: Given function:fx=4xlnxWe need to find f'x and f'2.We will use the following…

Q: dy find the dx +Ince 义 9 = sin In Cl+e)

A: The given problem is solved below in detail.

Q: If Ax) = Vx -1 and g(x) = x+ 1, which expression is equal to fAg(x))? 1+ー1 Wx²+2x (x + 1) - 1 ベズ+x-1

A: Solution:

Q: The technique used to prove that x4 x3 , dx =- 2x + 2vZtan- ( 2/2tan + C x2 + 2 3 is Long…

A: We have to find the method

Q: Q3: Find gradient of the following function at given point 1) f(x, y) = y –x, (2,1) 2) g(x, y) = y –…

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Q: 1 is convergent or 1) Use the Integral Test to determine whether the series divergent. ' (3n– 1)?…

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Q: S0, f(t) = le-kt, 0 <t < 5 5 < t. %3D A) Use the definition to find F(s) = L{f(t)}, where k is a…

A: use the laplace transform formula then easily solve integration

Q: Exercise 2. Find the following limits 3x +1 1) lim 2x +5 1-3x2 3x +1 2) lim X 2x +5 3) lim x- 2x+5

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Q: dx Which of the following functions satisfy the differential equation = x? dy O x= e o y= e* O x=y O…

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Q: 3y + 2y Solving by variation of parameter y" Wronskian W is: 3e*cosx, the value of |

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Q: Find the following using the table below. 123 4 f(x) f'(x) | 3 | 1 | 4 2 2 3 4 1 (x)6 2 3 4 1 E|…

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Q: Find the equation of the tangent line at the given point on the curve. xy? = 36. (1,6) The equation…

A: This question is related to equation of straight line, we will solve it using given information.

Q: O O O O For the differential equation (x2-4)y" + (x-2)y'+ 2y 0, a regular singular point is: O x-4…

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Q: Find and classify all the critical points of f (x,y) = 7x – 8y + 2xy – x² + y³.

A: For critical points put partial derivate=0

Q: is a function of K, and y, and tan - z*e®Y.

A: Given problem:- Z is a function of x and y tan√(y2+x2) =zx e6y  To find:-

Q: P6: x2 x² – 1

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Q: find the y a) y= CtX_ メ

A: As per guidelines we have to solve one question Please repost other questions again

Q: The following telescoping series [c0s" () - cos 1 COS COS in. n + n=1

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