2-x'y'y'+ xy' =1

Q: If 8 cos (3x) < g(x) < 8 + 2x for all x. Find lim g(x)

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Q: 7/3 x tan (x) dx 2

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Q: Use the First Derivative Test to find the local maximum and minimum values of the function. (Enter y...

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Q: Evaluate the integral. V36 – x² dx = 18sin- +xV36 – x² + c V36 – x² dx = 36sin--xV36 – x² + C / V36 ...

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Q: d²u dv? = 4(1+ 3v)² n. u = -1 du/dv = -2 when v = -1 |3D

A: Given problem:- d2u/dv2 = 4(1+3v)2  When v=-1 , u=-1 and du/dv = -2   To find:- Particular solution ...

Q: Use the following propositions to draw the corresponding Venn diagram. Remember to denote the univer...

A: The universal set is the set of all undergraduate students in the University.   The Venn diagram is ...

Q: Evaluate the Definite Integral sin'y dy = Blank 1 Note, the answers should be three decimal places o...

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Q: За—11 dx - partial fractic 2x2-a-6

A: We will solve the problem using partial fraction. 

Q: an+1 -to determine if the sequence An +00 Use the ratio- {ne"}, is strictly increasing or strictly d...

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Q: (2+vx)² X dx Vx

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Q: Evaluate the integral. 고-36 x² – 36 . 6cos- (승) +0 /x² – 36 - dx = Vx² – 36 – 6cos¬! + C x² – 36 (9)...

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Q: Find the limiting value of upper sum approximations to the area of the region R below the graph of y...

A: We will find the upper sum approximation to the area of region R below y=2x in the interval [0,3] us...

Q: b. 2 sin? x+3 sin x = -1

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Q: 4. f Inv9 - x2 dx - integration by parts

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Q: Find the moment with respect to x = 2a the area bounded by x = 2y and x2 = 4ay. %3D %3D

A: Given area is bounded by x=2y and x2=4ay.  To find: Moment with respect to x=2a.   From x=2y We get ...

Q: 5x2 + 1 dx2

A: In this question, we need to find the solution of this given differential equation.

Q: S tan8xdx

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Q: The number of bacteria in a culture is growing at a rate of 2500e2/5 per unit time t. Find the numbe...

A: Given db/dt= 2500 e^(2t/5)

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: Given ∑k=1∞56k+2=∑k=1∞56k562                              =2536∑k=1∞ 56k This series can expressed i...

Q: Sketch the region enclosed by the given curves. y = 3/x, y = 12x, y = 12 x > 0 y y 8- 8- 6 4 2 4 8 1...

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Q: Evaluate the sums. а. 4 k=1 7 b. -2k k=1 7 > k(2k + 1) с. k=1

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Q: What is the area under one crest of the sine curve, from x = O to x = n? y=sin x dx 1/2

A: Given problem:-

Q: (u) đu . Evaluate the Integral tanh

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Q: Find the volume of the solid of revolution generated by revolving the region bounded by the graphs o...

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Q: Evaluate the Integral / tanh (u) du .

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

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Q: Find Z, * Z, and Z1/ Z2 Write the answers in rectangular form (a + ib). Зл 2(cos+i sin),Z, = 4(cos +...

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Q: dy 3 - dx2 4 y = 1/2 dy/dx = -1 when x = 1

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Q: x+x+6 1. Find ALL extremum of the function f(x) = on [2,9]. Use both the derivative and then x-1 Des...

A: Let's find. 

Q: In Colorado spring has arrived when the bluebell first flowers. The figure shows the date (days afte...

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Q: For the function F(x) = -x* +2x + 63, complete the following parts. (a) Determine whether Fis even, ...

A: f(-x) =f(x) so function is even.  Follow step 2nd . 

Q: The management of Porter Airlines finds that its monthly marginal revenue can be approximated by R(x...

A: Given that the marginal revenue of Porter Airlines is R'(x)=0.96-0.0064x -(i)where x is the average ...

Q: Find the values of x for which the series converges. (Enter your answer using interval notation.) 5"...

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: P(x)= x^3-2x-4 a) factor P into linear and irreducible quadratic factors with real coefficients  b...

A: Here, the given polynomial is: P(x)=x3-2x-4

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 10j as ...

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Q: Find the most general antiderivative. dx x2 A 2- +C В с © -2.c (D 2

A: topic - anti derivative of  a function

Q: For the following functions, determine , Je Je and se e, f(r,0,z) = r(1 – cos0) – z For the followin...

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Q: parachutist jumps out of a plane.  Her height, in metres, above the ground after t seconds is given ...

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Q: 6) Use Linear Property to find ( 1- 3 x4)' A) (1- 3 x4) %3D B) – 4x3 C) - 2 D) - 12 x3 7) Use Produc...

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Q: Use the Root Test to determine if the series (-1)"2* en² (2n² – 1)" n=1 converges or diverges.

A: By using the Root Test to determine whether the given series converges or diverges.∑n=1∞-1n21nen22n2...

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo_and then find the nth Taylo...

A: Taylor polynomial of f(x) of degree n about x=a is given by, pn(x)=∑k=0∞fk(a)k!(x-a)k

Q: 1 dx = Blank 1 1+ 8x Evaluate the Definite Integral

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Q: 1 1 + e6x xp

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Q: Sketch two functions F such that F = f. In one case let F(0)=0. And in the other, let F0)=1. 1 f(x) ...

A: F'(x)=f(x)x&gt;1:f(x)=1∫ F'(x) dx = ∫ f(x) dxF(x)=∫1 dxF(x)=x + CF(0)=0+C0=0+CC=0F(x)=x ;   x&gt;1x&...

Q: Solve the following incqualities

A: The given inequality is: x2&gt;x3

Q: 11) Find [ f (x) g(x)]' =. A) [(1/x) – (In x) tan x] /sec x by Product Rule. 11) B) [(1/x) + (In x) ...

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Q: Express the repeating decimal as a fraction. 0.4511 414141..

A: Solution is written in below steps.

Q: 2х2 -бх+4 dx X-3

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Q: 22) In Problems 22 through 24, given an Implicit Equation 2x3+3y2= 6 sin y + 16 , find y'=, A) -2X/(...

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: SVx In(x)dx

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