dy y(ln y – In x + 1) dx

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A: Please refer to the image below 

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A: The arc length of curve y = f(t) is given by: S(x)=∫0x 1+dydx2 dx

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Q: 0. for the funchion f (x,4) = 3-x²_u?, find a unit tangent vector to the level curve -3 at the point...

A: It looks like you are doing mistake in using the formula for derivative. Correct formula is  ​​​​​​​

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A: We are asked to find the unit vector in the direction.

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

A: topic - functions and derivatives

Q: Given f(x) = x - 2x, (A) Find f'(x), (B) Find the slopes of the lines tangent to the graph of f at x...

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: lim x 1. x- 3.

A: Follow the procedure given below.

Q: Find the area of the region which is inside the polar curve r- 5 cos(0) and outside the curve r=4- 3...

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Q: Question 2 The trough below is full of water. Recall that water has weight density 62.4 lb/ft³. 2 ft...

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Q: The differential equation 3y(x -1dx+(x³ +8y– 3xdy = 0; is exact because OM ON %3D

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Q: x'dx The integral expression can be evaluated using integration by parts of the form udv = vdu Using...

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Q: What is the slope for the function y = 2x2 + 2 at the point x 3?

A: given y=2x^2+2

Q: The differential equation (3x +2.xry + 4yʻ kdx+ (xr +8xy +18ydy = 0 is exact because ƏN ƏM

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Q: Perform the indicated multiplication. - 4 -8 4. -1 8 -7 Select the correct choice below and, if nece...

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Q: (a) f(x) =x² – 2r

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

Q: 9. lim V X-32

A: 9)limx→32x5

Q: Find the volume of the solid bounded by the paraboloid z=2 +x2 + (y - 2)2 and the planes z=1, x= -1,...

A: We are asked to find the volume.

Q: Use f(x) = 3x – 5 and g(x) = 4 – x² to evaluate the expression. %3D - (a) (f o f)(-1) (b) (g o g)(-1...

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Q: y dy = x(1 + x²)1/2(1 + y?)!/2 dx %3D

A: We need to solve D.E.

Q: Radioactive substances decay exponentially: The mass at time t is m(t) = m(0)ekt, where m(0) is the ...

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Q: Let V u R. It v 1s prpndioulnt be Vectors in to u, then my parpindientar to' u. nonzoco Malhple GU o...

A: topic - vectors

Q: Evaluate the following functions. 1. lim x2 • coS X X 4.

A: Our Aim is to evaluate the function given below:-limx→π4x2. cos (x) -(i)

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Q: Find the slope of the tangent line to the curve 4x2 3xy 2y 168 - at the point (2, 4).

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Q: Evaluate the following integral using a trigonometric substitution. - 0.1 dx 64 – 4x² Round your ans...

A: Our Aim is to evaluate the following integral using a trigonometric substitution which is given belo...

Q: Graph each: 1. f(x)= sin(2x)-2 Amplitude: %D f(x) Period: Vertical Shift:. Phase Shift Start: End: I...

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Q: Determine the order and degree of the following equations: a.) (d^2y/dx^2)^2 = (dy/dx+4)^3/2 b.) sqr...

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Q: (I'o67 =7 %3D 2. of

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Q: The length function for the curve yz ln(sinx) arc stacting point (,0) cwith

A: The arc-length of the curve y=f(x), a≤x≤b is given by: L=∫ab1+(f'(x))2dx

Q: isometric version

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A: Given query is to find the instantaneous velocity of the object using derivative.

Q: Perform the indicated operation and write the result in standard form. (3 – 5i) O-646. 4+ 958. 4i O ...

A: Simplification of

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A: follow next step

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A: Note :- This is multiple subparts question. And according to our company guideline we can do maximum...

Q: 5. Write these sets in set-builder notation, where U = {1, 2, . . . , 20}. (a) {11, 12, 13, 14} %3D ...

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Q: Laplace Evaluate the following. Differential Equation 1. L{e* + cos 6t – est cos 6t} ,3t -

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A: Topic:- calculus

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A: Given:      x2 + y2 = 1  Point: ( √2/2 , √2/2 )   dy/dt = -4

Q: Determine the value of the literal numbers in the given matrix equality. C+D - 6 4С- D - 14 D-8E - 2...

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