Rounded to the nearest hundredth and using four segments, the arc length of the curve of f(x) = / x + 1 for - 1< x< 3 is around 4.58 3.25 8.97 5.67

Q: Solve the following differential equation y = - 3x²sec²(-x² - y) Select one: Oa. +C O b.(-x-y)- sec°...

A: In this question we have to solve the differential equation.

Q: 1+ In x Find f (x) so that when u = f(x) the integral dx can be rewritten as cot u du . I tan(f(x))

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Q: Given the the parametric curve S x(t) = est – 2t l y(t) - 8t sin t dy (a) Find an expression for dx ...

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Q: A. 5x + 6+ 4x

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Q: Which substitution is best to use in order to solve the integral / 2sinx cos xdx? Select one: u=cos ...

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Q: Find the derivative of y with respect to v. y = In (cosh (2v)) – tanh? (2v) The derivative of y with...

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Q: The integral J dx reduces to e+1 where u = f(x) and for some constant k.Compute f(1).

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Q: (ke) 3 (1-In 2-) 1. For Sk*e3* dx = +C.f u= 3x, then k=? 2.

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Q: y" + y " +y' + y = 1

A: A differential equation is said to be linear if no terms in it are formed by multiplication of two t...

Q: Explain why limit exists or does not exist. (z-2)(z-2) lim log1/3 \sin((2z+ 1)(z-2)) Z→+2

A: Solution is here 

Q: u+1 Using u-substitution, the integral Sf(x)dx reduces to a new integral S g(u)du. If g(u) evaluate ...

A: We have given ∫g(u)duwhere g(u)=u+1u  

Q: 5 sin Od0 = -5(cos x – 1). Select one: O True O False

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Q: Find the equation of the series below. y=1+eax+eax2+eax3....

A: Question- Find the equation of the series below.   y=1+ ea x + eax2 +......

Q: 2. @-2-6X8-マメーメー3メー6時+2

A: f(x,y) = 2x2-3y-4∂f∂x =ddx(2x2-3y-4)∂f∂x=4x∂2f∂y∂x =ddy(∂f∂x)∂2f∂y∂x =ddy(4x)∂2f∂y∂x =0∂2f∂x2 =ddx(∂...

Q: k If u = f(x), then ſ dx x++2x2+1 +C for some constant k . Compute kf(1). x2+1 ... 1 (A 4 1 © -1

A: I =∫xx4+2x2+1 dxI=∫x(x2+1)2 dxu=x2+1du = 2x dxx dx =du2

Q: Evaluate the integral. 15e cos(2x) dx

A: To evaluate the given integral

Q: (-4x-12) dx (x+10) (x-4)- For F()- 1. What is F(3)? %3D

A: Option A

Q: Given: (25(x)dx e-x3 There is a function f (x) such that when u = -x³, the resulting integral is f 2...

A: Let's find. 

Q: Calculate the real values of x and y such that (x+y)³ is bigger than 8

A: Given: - The expression (x+y)3 is bigger than 8. To calculate: - The real values of x and y.

Q: O Define f (x) = 1x = Graph it. Label as a piece wise defined function your graph.

A: Given

Q: cosx * sin? (3x) 2 2. lim x→0 x2

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Q: For what value of z does the tangent line to the curve y = 9+ 6e" – 6z is parallel to the line 9z – ...

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Q: du The integral S- reduces to S k, where u = f(x) and for some constant k . Compute f(1). e*+1 e +1 ...

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Q: (x – h)? + y? = r² O y " +(y')² + 1 = 0 O y" +(y')² = 0

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Q: Evaluate ft da 22-r-6 O a. 4ln r 3+ In r+2 +C O b. 4ln r+3- In a+2|+C c. 4ln a-3- In r+2 +C O d. 4ln...

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Q: The manager of a large apartment complex knows from experience that 120 units will be occupied if th...

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Q: Determine the following equation if it is Homogeneous IVP, First, second, higher order equations and...

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Q: Question: Using the substitution rule, which of the following gives the value of the definite integr...

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Q: Find the sum of the series: п (п - 3) n=5 or conclude that it diverges. A) 0. 11 B) 3. 13 C) D) E) D...

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Q: 200 1. The function: P(x) = 2x + 0 <x < 0, models the perimeter of a rectangle of dimensions x by 10...

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Q: Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used t...

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Q: - 2y : Sketch in one coordinate plane the circies 2x – 6y + 6 = 0. Then, find their points of inters...

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Q: Solve using the U-Technique Question 10 For ſk*e3*dx = 1 (ke)3x 3 (1–In 2-1) If u = 3x, then k =? .....

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Q: Evaluate f(3v+ dx

A: As per our guidelines we are only solve one question (i.e. the first question from start) and the re...

Q: Consider dx and using u-substitution in rewriting the integrand as a function of u and du. Determine...

A: For the solution follow the next step.

Q: Let J ex+1 S dx be given . If u = e* + 1, then the resulting integral is S f(u) du. Compute f(3).

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Q: Question 20 csc x du 3T If u = f(x), then dx = Compute f и sin x – cos x A B 1 D -1

A: We have to solve our question

Q: Does the following set of order pairs represent a function? If so, does it represent a one-to-one fu...

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Q: Find the equation of a TANGENT LINE in SLOPE-INTERCEPT FORM to the given curve below y = 4x? 2x +3 |...

A: y = 4x2 - 2x +3 at x =0 y = 3 so point (x,y) = (0,3) we need the slope of line so slope = dy/dx slop...

Q: Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used t...

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Q: ie lollowing anclions 3 · y² = 6 – x %D

A: Topic = function

Q: 6. - 2х + 3) dx

A: According to Bartleby's guidelines we can solve only one question at a time. Apologise for the incon...

Q: Write the equation of the sphere if (1, - 2, of the sphere. 5) and (- 1, - 2, - 7) are the end point...

A: Solving question by equation of sphere

Q: II Simplify the following: 1. (ĀNBNČ) U (Ā nBN C)U (ĀNBNČ)U (ĀNB N C) U (A OBNČ)U (ANBN C) a. ĀU B b...

A: Distributive Property: (i) A∩BUC=A∩B∪A∩C(ii) A∪B∩C=A∪B∩A∪C Identity Law: (i) A∪A¯=U(ii)A∩U=A(iii)A¯∩...

Q: The integral / 2/ (*) cos(2*) dx takes the form k cosu du when u=2* and f (x) =x – 5. what is the va...

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Q: x(x+2)(x-1) Problem 6. Consider f(x)= Do all three parts: a. b. c. x+5x+6 a. Is there a horizontal a...

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Q: Plot the following functions 1. v y = -x|x|

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Q: A differentiable function f has one critical number at x = 8. Identify the relative extrema of fat t...

A: We have to choose correct option

Q: Solve the differential equation. 5y' = 4 ex/5 + y + y The solution is y = 4x +C X 5 5 e (Type an exp...

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Q: A tank initially contains 10 gal of fresh water. At t= 0, a tap is opened, pouring a brine solution ...

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