Use transformations to graph the given function. 3) p(x) - -3x + 3| - 1

Q: (b) If u = x² cos y+ye", where x = s+2t and y = st, prove that ди ди 2 = (s – 2t) (x siny– xye – e")...

A: u=x2cosy+yexyx=s+2ty=st

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Q: 18. If x? – xy + y? = 3 find y" (second derivative) %3D 18 12 12 18 В. (x – 2y) C. (x – 2y)² A. D. (...

A: Given:- x2 -xy +y2=3 To find:- y'' 

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Q: Explain why the integral ex*dx is convergent.

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Q: – Verify the following formulas : a) cosh u dx 1 du vuʻ-1 dx 1 du b) tanhu= ul<1 dx 1-u'dx

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Q: DIFFERENTIAL EQUATIONS Solve the following problems showing every detail of your solution.

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A: Given: a)f(x)=x3+2xb)g(x)=2x4-4x2

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Q: ItcosX

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Q: 6. (3y2-x2" = 0 ;when x = 1, y = 1 y5 2y4

A: The given differential equation is 3y2-x2y5y'-x2y4=0; when x=1, y=1  

Q: 2. Find the local maximum, minimum values and saddle point(s) of the function, if any. f(х, у) %3D х...

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Q: (-1)"n For positive integer n, let an = 3n (a) Determine whether the sequence {an} is convergent. 00...

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Q: Lesson 4 1. Given the function f(x) = 3-x, graph and find lim f(x) a. b. lim f(x) c. lim f(x)

A: Topic = Function As per guidelines, At a time only one question can be answered out of different mul...

Q: ORDER DEGREE LINEAR OR NON- LINEAR a2u a?u a2u = 0 ax2 ay2 ' az² (x + y)dx + (3x? – 1)dy = 0 d²r d?r...

A: Let's find. 

Q: 4. A tree on a hillside casts a shadow 215 feet down the hillL. If the angle of inclination of the h...

A:

Q: Differentiate (xy)* = e a. y' = Y(1+lnxy) c. y' = Y(1-Inxy) b. y' = x(1+lnxy) d. y' =Y(1+ln xy) y

A: (xy)x=e Take logarithm on both sides: ln(xy)x=lne ln(e)=1: ln(xy)x=1  

Q: Sx+5 if x m C. 8 Find the value of m such that g(x) = is continuous at x = m. A. 2 B. 4 D. -1

A: Let's find. 

Q: - 2x – 20 A B x2 + 10x + 24 r + 4 x + 6

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Q: f'(t) = tf(t). HINT: Write f'(t) – tf(t) = 0 and multiply the equation by e-2/12.

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Q: f (x) = 4.5x²-3x +2 f(x)-f(a) Use the alternate limit definition, lim with a = 2, to find the value ...

A: Given:- f(x) =4.5x2-3x+2  To find:- Use alternative limit definition find value of f'(2) 

Q: Show that if ƒ and g have continuous second derivatives and f(a) = g(a) = f(b) = g(b) = 0, then | s«...

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Q: ex dx

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Q: solve for the orthogonal trajectories y2 = 4x2 (1- kx)

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Q: Evaluate, with the order of integration being reversed, an equivalent integral of the following inte...

A: Consider I is the value of double Integration.

Q: Consider the following sequence: 9" {an} %3D 4n2 n=1 An+1 to show that the given sequence {an} is st...

A: This question is related to sequence and series, we will solve it using given information. 

Q: 1. lim f(x) = x-1 ; lim f(x) : lim f(x): f(x) 5 X-1 2. f(1) = 4 3 3. X-1 lim f(x) = ; lim f(x) = ; l...

A: According to bartleby guidelines I can only answer the first three subparts of the given question. P...

Q: Solve for the orthogonal traectories y2= 4x²(1- kx) %3D

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Q: Aradioactive chemical has a decay rate of approximately 5% per year Suppose that thès chemical is re...

A: The amount of radio active substance remains after t years is given by             A = pk1-e-kt     ...

Q: 33. For what values of x does the graph of f(x) = x +2 sin x have a horizontal tangent? %3D

A: We need to find values for which the function have horizontal tangent.

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Q: Question 3 Transform the polar equation 6 to an equation in I and y. Submit Question

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Q: 4. f(x) = x² + 4x 5 %3D -

A: As per our guidelines we are supposed to answer only first three parts.kindly repost others part as ...

Q: Solve the differential equation: (2x-y+2) dy + (x-2y+4) dx =0  Please also state which or the follow...

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Q: y + = x2+y2 dx xdy when x=J3', y=1

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Q: aterminate form, use factor 2-1 1. lim X14x+4 +2x-15 2. lim I-3 x+4x-21 x+x-20 3. lim X-4 r-64

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Q: Let f(x, y) = (x² +(G))°. Determine the directional derivative of f at the point (1 0) in the direct...

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Q: 4. Calculate the volume of the solid obtained by rotating the region bounded between y = -x and y = ...

A: Note :- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly r...

Q: Solve using variation of parameters or reduction of order (D² + 1)y = sec*x

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Q: eliminate the arbitrary constants. x = k + ct, y = c2t2

A: Eliminated k and c and form a single equation.

Q: dz 22. Evaluate the definite integral Hint: Trigonometric Substitution 2zv9z2-4 0.

A: To evaluate: I=∫03dz2z9z2-4...(1)

Q: (b) If f(x) = E anx", specify the domain of f. n=1 Based on your answer in Question 2(b), explain wh...

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Q: Show complete and detailed solution of the differential equations 1. x(dy/dx)+(1+x)y=e-xsin2x

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Q: 一名 ース 1-X

A: We can find the integration as below

Q: The half-life, T, for a particular radioactive element is 15 min Find the decay rate of the element ...

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Q: 5. f(x) 3x

A: here we have to plot a graph of f(x)=3x.