Solve over (-o,00) 2. 3tanx = V3

Q: Examples I Problem 1. If a + b c+d 4 6. c -d a- b] 10 2 ; ")-) find a, b, c, and d.

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Q: 1. Given a > O real, evaluate the following limit: V2a?x – x4 – ava²x lim a – Vax3

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Q: 1. Suppose that v = (0, y, 0) is the velocity field of a fluid and let S be the surface defined by y...

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Q: The following is/ are true about the area bounded by y-8x & y=2x: O A. y= v 8x -2x O B. Only Horizon...

A: Here, the given region is bounded by the curves y2=8x, y=2x

Q: 13.

A: y=tsint1+t

Q: The shadow of a vertical tower is 73.0-ft long when the angle of elevation of the sun is 32.0°. Find...

A: From the given information, we find the height of the tower

Q: Question 4 (a) Evaluate, with the order of integration being reversed, an equivalent integral of the...

A: Let's find. 

Q: Differentiate. A f(x) : В + Сех f'(x) =

A: Given  f(x) = AB+Cex f'(x) = dAB+Cex-1dx                       ∵1a = a-1

Q: x(х + 1)(х — 2) 54. у 3 %3 (x? + 1)(2х + 3)

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Q: Evaluate the limits. Show your solutions. 1. lim lim 3. lim 北主 2.

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Q: Eliminote the orbitrary constants x = k +ct, y= c*t² Find the differential equation of the plane cur...

A: Order of differential equation (D.E) = the number of arbitrary constants in the given relation.The D...

Q: Express the repeating decimal as a fraction. 0.434343...

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Q: Solve the differential equation. dx = (x2yey^3 - 3xy2) dy

A: dx = x2yey3 - 3xy2 dy

Q: (b) Explain why the integral e x'dx is convergent.

A: Improper integral : If f(x) is continuous on [a,∞) , then the improper integral of f over [a,∞) is  ...

Q: lim g(x) =, lim g(x) ; lim g(x) 1. -1- 34 2. g(-1) = 2- 3. lim g(x) = lim g(x) = ;lim g(x) = x0- 1. ...

A: Topic = Limits

Q: 1 Solve the equation: 1 x + 3 1/4

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Q: C. . Solve the initial value problem: 2xydx + (2y2 – 3x²)dy; y(0) = –1.

A: C is homogeneous Differential equation

Q: The curve y+1=x< is rotated about x-axis. Which of the following is/are true? O A. V= 16TT /15 O B. ...

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Q: d the exact value of each part labeled with a variable in the figure. =b fy your answers, including ...

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

A: We have to solve given Integral by reversing the order of integration.

Q: For real number p, let f and g be defined by f(x) =e¯*x³ and g(x) = 1/xP, respectively, on [1,0). Sh...

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Q: solve using reduction of order (D^2+1)y=tanx

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Q: Instruction: Encircle the letter that corresponds to the best answer and show your solution. 1. Find...

A: x2+y2-12x+4y-5=0Differentiate w.r.t x2x+2yy'-12+4y'=02(x+yy'-6+2y')=0x+yy'-6+2y'=0Substiute (x,y)=(0...

Q: 7. (1+x*)dy + x(1+ 4y°)dx =0

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Q: A function f(x) and interval a, b] are given. Check if the Mean Value Theorem can be applied to f on...

A: Given: fx=2x3-3x2-72x+10 ; a,b=-6,8   As we know from the Mean value theorem: If f(x) is real-valued...

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

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Q: (ev+1)² eY dx + (e* + 1)3 e* dy = 0

A: we have given(ey+1)2e-y dx +(ex+1)3e-x dy= 0

Q: and straight and x V : 1 : 8 Let R be an area enclosed by a curve. Using the disc method, which is t...

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Q: Suppose that f ‘(x) is negative for x 1. Does f have a local minimum or maximum value at x = 1?

A: The answer is 'YES' Let see how it is YES in next step.

Q: Evaluate the following indefinite integral. Use C for any constant of integration. da dæ x4/16x² – 2...

A: Given problem:-

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: Determine if the function is even, odd, or neither. State its symmetry, if a (a) f(x) = x° + 2x (b) ...

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

Q: SOLVE THE FOLLOWING DIFFERENTIAL EQUATIONS. 1. siny dx + (x - sin? y)dy=0

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Q: Show that the limit x²ycos y lim (x.y)→(0,0) 2x4 +y² does not exist.

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Q: Find the rate at which the volume of a right circular cylinder of constant altitude 10 ft changes wi...

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Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

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Q: 구 -8 -6 -5 -4 -3 4 6 -2 -4 -6 -7 -8- lim f(x) = Enter the limit. If the limit is o, enter oo. If the...

A: We have to find limit.  

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'' 

Q: 48. Let f be a function defined on ]0, 1[ by : 0, if x is irrațional f (x) = {1/q, if x=p/q; where p...

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Q: For real number p, let f and g be defined by f(x) = e- and g(x) = 1/xP, respectively, on [1, 0). f(x...

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Q: using undetermined coefficients (D^2-2D+2)y=24e^x sin3x

A: Given: (D2  -2D+2)y=24ex sin3x

Q: xy' = y elwy) – x

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Q: csc 60° (Simplify your answer, including any radicals. Use integers or fractions for any numbers in ...

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Q: Elminote the orbitrary constants X =k +ct, y= ct² Find the differenhal equation of the

A: Given: x=k+ct; y=c2t2To form a differential equation by eliminating arbitrary constants  

Q: (b) If u = x? cos y+ye», where x= s+2t and y = st, prove that ди 2- ди = (s – 21) (x² sin y – xye" –...

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Q: solve for orthogonal trajectories y^2=4x^2(1-kx

A: For finding orthogonal Trajectories :step 1 : Let f(x,y,c)=0 be the equation of the given family of ...

Q: The temperature at a point (x, y, z) is given by ,² - 5y² – 722 T(x, y, z) = 100e where T is measure...

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Q: Please do numbers 3 and 5

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Q: Find the differential equation of the family of plane curves described. Draw at least three members ...

A: We need to find the differential equation of the family of the plane curves described below: Family ...

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

A: Determine whether the sequence is convergent ?