(b) ln x as 0 As x0, In x →

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Q: Find the derivative of the given function. y = x-5x +5) y = (x² - 5x + 5) e 6x 15 dy dx

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Q: 2x2 – 10 Find horizontal asymptote of y = 1522 + 7x + 15 Note: Give the exact answer but not the dec...

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Q: Direction: Read and understand the statement before answer. Click "TRUE" if the statement is correct...

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Q: Simplify the expression: 3(1 + 7g) %3D Submit

A: Given :3(1+7g)

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A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: Direction: Read then solve the question carefully. Click the letter of the correct answer Find the 4...

A: y=6x5+3x4-2x3+5x2-8x+9Differentiate w.r.t.xdydx=6.5.x4+3.4.x3-2.3.x2+5.2.x1-8+0         ddx(xn)=n.xn...

Q: 2. An object is launched upwards moving on a straicht line Its height in metres, i5 given by the equ...

A: Topic = Algebra As per guidelines , At a time only three sub-parts can be answered.

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Q: 69. Suppose that f(1) = 2 f'(1) = 3 f(2) = 1 f'(2) = 2 13D %3D g(1) 3 g'(1) = 1 g(2) = 1 g'(2) = 4 %...

A: By Given conditionSolve only question 69 (d)Given :c(x)=f(g(x))f(1)=2, f'(1)=3, f(2)=1, f'(2)=2g(1)=...

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A: Limits and functions

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Q: Separation of Variables: x(y +1)dx+ y dy = 0

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Q: 12x2 dx = x³ + 2

A: Where we have to solve the given integral

Q: Let f(z) = 221 + 20 z – 6 Which of the following statement is true? O There is a c in the interval (...

A: see below the answer Intermediate value theorem:-  If a function f is continuous on the interval [a,...

Q: 1.What is the derivative of f(x)=e8x+3?

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Q: find all of the critical points and local maximums and minimums of each function. (d) f(x) = |æ+ 5|....

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Q: 5. Exact Difle rential Equation: 3ry -4y' +6dr + (r° – 6x°y² - 1kty =0

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Q: Question 12 Find the local extreme values of the function f (x, y) = x² + y² – xy 8 -8 O 4

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Q: 7. || v dA, D= {(x, y) | -1< y< 1, -y - 2 <x<y} D.

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Q: SOWE THE DIFFERENTIAL EQUAMON (2xy+ xIn 3x)dy + (x ty) d (x ty) dx = 0 when x = 3 y= 2 %3D

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Q: The length { of a rectangle is increasing at a rate of 9 cm/sec while the width w is decreasing at a...

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Q: Direction: Read and understand the statement before answer. Click "TRUE" if the statement is correct...

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Q: Homework: Graph the following functions and show domains and ranges of them. 1+cos2r 1. 3. y = cot3x...

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Q: Direction: Read then solve the question carefully. Click the letter of the correct answer Find the e...

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Q: 25-32 Use implicit differentiation to find an equation of the tangent line to the curve at the given...

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Q: Let f(x) = x8 - 8x6. When the tangent line is vertical, what is the derivative of f(x)?

A: Here we will understand the vertical tangent line and we will find derivative of given function,

Q: Elimination of Arbitrary Constant: y= Ax² + Bx+C,A and B are constant, C is a parameter

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Q: dx 3. (a) Evaluate S (b) Evaluate Jo x²-6x+10' 1+sin x 1 dx

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Q: A particle moves along a straight line and its position at time t is given by s(t) = 2t – 21t + 36t ...

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Q: 3. Separation of Variables: x(y+1)dx+ dy = 0

A: Differential equation  Separation of variables

Q: Evaluate the integral: 13 – 64x dx - + C

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Q: 1) Using any of the differentiation rules taught in this chapter, find the derivative of the followi...

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Q: Separation of Variable s: x(y+1)dx+ 2| dy = 0

A: Given, x(y+1)dx+(y/x)2dy=0 Separation of variables means, Seperate x  variables on dx side and y var...

Q: Homogeneous Differential Equation: (x* + 2.xy – 4y° kdx – (x² –8xy – 4y² kdy = 0 y. x=2; d = wdx+ xd...

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Q: 00 Expand the function in a power series a„x" with center c = 0. Find a,x". 4+3x n=0 (Express number...

A: The given function is  f(x)=14+3x

Q: The graph of the derivative f'(t) of f(t) is shown. Compute the total change of f(t) over the given ...

A: Function change and slope     Answer is  192

Q: Direction: Read and understand the statement before answer. Click "TRUE" if the statement is correct...

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Q: 5) Determine whether each integral is converge 16 1 a) xp= 1 b) Vx-1

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Q: dy Use implicit differentiation to find dx 7xy + y = 9x+y

A: Given 7xy+y2=9x+y To find dydx:

Q: 1 3 4 -2 3. 2. 3. 3.

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Q: 5. Find the volume of the solids generated by revolving the regions bounded by the curve y = sec y =...

A: Here, the region bounded by the curve y=sec x, y=0  from x=-π4 to x=π4 about x-axis is:  

Q: - Separation of Variables: x(y+1dx+| 2| dy = 0

A: Given:- x(y+1)dx+yx2dy=0   To find:- General solution of given differential equation

Q: Integrate the following: 1. Integration by parts: 2 5 ex d x 3

A: Use formula of integration by parts.

Q: Determine the critical points of f(x) = x^2+8x+ 10 and apply the Second Derivative Test to find the ...

A: Critical points are points where the function is defined and its derivative is zero or undefinedGive...

Q: Let f (z) = z+3 . We will use the definition of derivative to find the derivative of f (x). (1) What...

A: As per guidelines we can solve only three subparts at a time, So the first three subparts can be ans...

Q: derivative of y with respect to x. y= In (6 In x) dy dx %3D

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Q: Consider the vector field F = (4x + 6y, 6x + 2y) Is this vector field Conservative? Conservative If ...

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Q: Find the derivative of the function. 3x-4 %3D 2. X+6x y' = ]

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Q: Homogeneous Diffe rential Equation: (r+2xy – 4y´ kdx – (xʻ - 8xy – 4y´ dy = 0 Use the substitution d...

A: Given DE isx2+2xy-4y2dx-x2-8xy-4y2dy=0Solve the homogeneous differential equation