Evaluate the improper integral Xe* dx Ina A) integral diverges ৬) C) o D) Inz In2 2

Q: Compute the partial sums S3, S4, and S; for the series and then find its sum. Σ n+4 n + 5 (Use symbo...

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Q: - ydx + (x ++ Vxy )dy= 0

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Q: O Find dy/dx, given y =. -u and u =TR42.

A: NOTE: Refresh your page if you can't see any equations. . take the derivative with respect to u

Q: Show that the function f(x, y) = xy – 6y2 is differentiable by finding values of ɛ, and ɛ, that sati...

A: We will calculate the steps and then by definition will prove that f is differentiable.

Q: Find f'(x) from first principles, given f(x) is: a) x b) 1 c) -x^2 d) 2x^3

A: Note that, according to Bartleby guidelines, we can answer only the first 3 sub-parts in the case of...

Q: Differentiate y = sin(3x + 4y) cos(3x+4y) 1+ 4 cos(3x+4y) з cos(3x+4y) 1+4 cos(3x+4y) cos(3x+4y) a. ...

A: y=sin3x+4y

Q: What are the critical numbers of the function? f(t)=8(t^2/3)+t^5/3

A: We have to find critical numbers.  

Q: (2x-y + 2) dy + (x-2y+4) dx =o

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Q: Explain why the integral e'dx is convergent.

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Q: E Homework: Homework 5.4 Express as a single logarithm and, if possible, simplify. log a +4 log b lo...

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Q: Show every detail of your solution. Differential equatioens. siny dx + (x - sin? y)dy3D0

A: The given differential equation is: sin y dx+(x-sin2y)dy=0⇒sin y dx=-(x-sin2y)dy⇒dxdy=-(x-sin2y)sin ...

Q: Consider the following function. s(2) = { 16 , 0 %3D (a) Find the critical numbers of f. (Enter your...

A: NOTE: Refresh your page if you can't see any equations. . the first function is 

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

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

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Q: 4. ( * x)dk =(2y-)dy 2Y- I+x?y2

A: For the solution follow the next step.

Q: Let P = (x, y) be a point on the graph of y = VI+3 (a) Find a function d(x) for the distance from Pt...

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Q: Y- 3X +1 = Ce | Ce 3x

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Q: Find the value of m such that g(x) = {x+5 , if x ≤ m} and g(x) = {2x - 3 , if x > m} is continuous a...

A: Function limit and continuity 

Q: Evaluate the integral. 8t3/2i + (t + 8)vtk) dt

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Q: Lesson 9 1. Consider the graph of f(x) shown in the figure. Investigate the continuity off(x) at the...

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Q: 4. y = vx + 2 x,for-

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Q: 0. Find the area of the triangle with the given side lengths. Round your answer to one decimal place...

A: Given graph :- Find the area of the triangle with the given side lengths. Round your answer to one d...

Q: There are ​$320 available to fence in a rectangular garden. The fencing for the side of the garden f...

A: We need to find x and y.

Q: fit) 구 4- -jo -9 -8 -7 -6 5 4 3 -2 -1 8 9 10 -8 -9 Estimate lim f(t) t→ - 2

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Q: Solve method of undetermined coefficients using (D+AD+8)Y 3X t, z 13e +50X when x-0, y=0, Y=D0 ゾーo

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Q: Find the derivative of the following functions.

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Q: Lesson 2 1. For the function y glx), analyze and find: a. lim g(x) b. lim g(x) c. lim g(x) d. lim g(...

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Q: Find the position vector i that corresponds to the vector graphed below. Note that each box in the g...

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Q: 3) Using Quotient Rule ()'=€'gfg),find (±)' = (3×/eX)' = A) (3/e)X[In3-1] B) (3/e)x-1 C) 3×ln3/eX D)...

A: Topic:- derivatives   

Q: 2 Let R be the region of the 1st quadrant surrounded by a curve. X : + 2 straight straight line 4 - ...

A: Follow the procedure given below.

Q: For which positive integers k is the following series convergent? Σ (n!)2 (kn)! n = 1

A: We have to find the value of K so that given series converges. 

Q: and stra ight and x : 8 Let R be an area enclosed by a curve. : 1 Using the cylindrical shell method...

A: Given problem:- Let R be an area enclosed by a curve. X =4√y and straight line y=1and x = 8 Using th...

Q: (x - 2y +4) dx + (2x-y+ 2) dy =0

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Q: Lauren plans to deposit $7000 into a bank account at the beginning of next month and $250/month into...

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Q: A. (xey + x)dx – (x²ev + 4e')dy = 0

A: Since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: Find the solution to the quadratic equation. (a) a - 4x + 1 = 0 (complete the square) (b) (3x – 1)2 ...

A: We complete the squares of given quadratic equations and solve for x  When take the square root on b...

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

A:  f(x,y) = (x2 + (y/2))3 we have to determine the directional derivative of f at the point (1,0) in t...

Q: Find the area of the largest triangle that can be inscribed in a circle of a radius of 6 inches. а. ...

A: Triangle in a circle for maximum area  Ans   option C 

Q: From the beginning of the year 2000, the annual world demand for oil has increased. To account for t...

A: We need to find estimated years and oil barrels.

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

A: To evaluate: I=∫03dz2z9z2-4...(1)

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

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Q: Find the six trigonometric function values of the specified angle. 24

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Q: (b) If f(x) = anx", specify the domain of f. %3D

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

A: Topic:- limits   

Q: 4. sin 5. y = x ArcCC 1 + v1-x² 2+X 6. y = Arccot x + Arctan 1-2x >| ×

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Q: y(2x³ -x²y + y³)dx – x(2x³ + y3 )dy = 0

A: y2x3-x2y+y3dx-x2x3+y3dy=0

Q: and x :8 and stra ight : 1 y Let R be an area enclosed by a curve. Find all intersection points in R...

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Q: Show, without reference to right triangles, that arctan x + arccot.x = }r for all real x. HINT: Use ...

A: Solution -  To show,  arctan x + arccot x = 1/2π  for all x 

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

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Q: 2. Sketch the graph of g(x) and discuss the continuity and discontinuity at x = 2 X = 0 g(X) = PEN

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