regions between the given curve and y= 1 ,y=1, and y=4 1+y 134 X= 2

Q: (s+1 if s 1 (a) Find lim f (s) (b) Find lim f(s) S-1 s--1 2t +3 if t 1 2. g(t) = Find lim g(t) %3D ...

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Q: Write a formula for the nth term an of the sequence and determine its limit (if it exists). It is un...

A: Given : 1) ln21,ln32,ln43,...ii) 0.9, 0.99, 0.999,....iii) 1, -14,19, -116,...v) cosπ, cosπ2, cosπ3,...

Q: For the following exercises, find the volume generated when the region between the curves is rotated...

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Q: |The vector projection of v = 4î + 4j + 4k onto W = 5î - 4ĵ + 3k is aî + bî +cê: where the exact num...

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Q: cosx+2sin x)ʻ dx sin x

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Q: (ө-4)d@ (в+5)* 2.

A: SOLUTION-

Q: A. Evaluate each of the following indefinite integral: 13 1.

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Q: know what the derivative of e^(g(x)) is and what the derivative of In(g(x)) is. I.e. the chain rule ...

A: From chain rule  If g(x) is a differentiable function, then the derivative of eg(x) is g'(x)*eg(x) ....

Q: f(9) = 2, f(2) = 3, f'(2) = 13, f'(9) = = 13 Find F'(9) and G' (9). F'(9) : G' (9) =

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Q: Find u v. u = 4i - 3j v = i - j V U V =

A: Finding the dot product of u and v

Q: Find the following limit. Enter dne if the limit does not exist and fractions should be entered in t...

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Q: x(x* –1) dx x' +1

A: This integral is of expression a2 + x2 . 

Q: Find the limit, if it exists. Remember to use proper limit notation. Зx2+4х-1 lim х-2 х2-2х 16+x-4 b...

A: NOTE: Refresh your page if you can't see any equations. .

Q: Solve in detailed solution A. Í (4x³+x) v4x²+1dx B. (x+2) Vx+3dx

A: Let I=∫(4x3+x)4x2+1dxI=∫x(4x2+1)4x2+1dxI=∫x(4x2+1)(4x2+1)1/2dx I=∫x(4x2+1)32dx Put (4x2+1)=udifferen...

Q: Scscx cotx sin (csc x )dx

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Q: the given position vectors r(t) compute the unit tangent vector T(t) for the given value of t . A) ...

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Q: Let f (x, y) = Vy – 2x Evaluate f(3, 10)

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Q: Arc sin -+ Arccos =0 y y

A: Given that sin-1xy+cos-1xy=0find dydx

Q: f (x, y) = –3x²y + y³ satisfies Laplace's equation fex + fyy = 0

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Q: Evaluate the integral below along the given path. (Give your answer correct to 2 decimal places.) C:...

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Q: Rework problem 8 from section 6.1 of your text, involving matrices A, B , and C. Use the following m...

A: We will use the following concepts to prove or disprove the following option. Results i) Matrix mult...

Q: Find the solution of the following differential equation. 1. (e* + Iny + ) da + ( + In æ + sin y) dy

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Q: A. Evaluate each of the following indefinite integrals: S*(1+v*) -ldv (cor-ly2) 2.

A: Solution is given below:

Q: Find the following limit, then enter your answer in the form a/(x+b)(x+c) 1 If f (x) = find lim x+2 ...

A: This question can be solved using the concept of limit and function

Q: (2xy + 1)dx + (x² + 4y)dy = 0 (17) (18) (6xy + 2y² – 5)dx + (3x² + 4xy – 6)dy = 0

A: 17)   Given that 2xy+1dx+x2+4ydy=0  Here  M=2xy+1,       N= x2+4y Therefore     ∂M∂y=2x,            ...

Q: Variable Separable (6) (xy -3y +x – 3)y' = xy + 2y - x- 2

A: As per our guidelines we are supposed to answer only one question.kindly repost others question as a...

Q: y = x², x = 1, y = 0; about the y-axis

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Q: Determine the particular solution of y"–3y'+2y=4e"; y(0)=-3,y'(0)=5 using Laplace and Inverse Laplac...

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Q: Find the partial fraction decomposition of the function. Write answer in simplest form. x² +x+1 a) f...

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Q: %3D cosx cotx sin x CSCX

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Q: QUESTION 4 Given f(x) = 8x³ + 2x. Estimate the value of ƒ(2.01) using differential. %3D

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Q: f A is 3 × 3 and det(2A-1) = -3 = det(A³(B¯1)"), find det B. 32 a) 을 (b)을 (e) (d) (e)을 83 34 23 83 (...

A: Topic:- matrix algebra

Q: Problem 1. Set 2x f (x) = | V16+ t+dt. (a) Show that f has an inverse. (b) Find (f-1)'(0).

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Q: Find the general solution of * y" - 3y' + 2y = 2x² + 1

A: Given: y''-3y'+2y=2x2+1 So, we can also write as: D2-3D+2y=2x2+1 So, the auxiliary equation is: m2-3...

Q: Let A be the area of the region that lies under the graph of f (x) = e-* between x = 0 and x = 2. (a...

A: The given region is: f(x)=e-x ;           0≤x≤2

Q: Let r(t)=(t+1)i+((t^2)−1/(t−1))j+sin⁡(−2πt)k. Then limt→1r(t)=

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Q: Question The graph of the polynomial f(x) is given below. If f(x) has degree 4, find the factored eq...

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Q: Find the general solution of У" - Зу + 2у 3 2х3 - 9х? + 6х

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Q: 3. Find the exact value of each trigonometric function. cos-1 cot

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Q: Compute the following limits. 4-(2+h) (a) lim (b) lim - x-2 h→0

A: Using rules of limits.

Q: 2. 2. 1. 14) sin- 16) sin-. 18) cos -1 20) cos 2.

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Q: The cost of certain piece of machinery is $ 700 and its value is depreciating with time according to...

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Q: Find an equation of a line that is tangent to the graph of f and parallel to the given line. Functi...

A: Slope will be same and there will be 2 equations. 

Q: A glacier in Republica was observed to advance (h)2.5______ inches in a (i)____71_______ minute peri...

A: This is a basic problem of calculus

Q: QUESTION 1 d²y Find dx² for each of the following equations. a) y = 3x² + cos(3x) b) y = e** + (x + ...

A: Given that: (a)y=3x2+cos(3x)(b)y=e4x+(x+1)4

Q: Explain why each of the following integrals is improper. (a) dx (x - 9)3 O since y=- - has a vertica...

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Q: Sex sin x dx

A: Solving the problem by doing the integration.

Q: Determine the form of a particular solution of the differential equation y" + 9y = e*cos3x + x² + x³...

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Q: (a) Find the area of the triangle with adjacent sides representing the vectors 2i – j + 3k, and i+ 2...

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Q: operty. -7(4y - 9) - 7(4y - 9) = (Simplify your answer.)

A: SOLUTION-