The angle between the vectors [√2 – 1, √2 + 1, √2] and [1, 1, 1] is: 45° 60° 90° 30°

Q: r H+ sin x sin 2x dx 2 cos X

A: Solving the problem by finding the value of the integration.

Q: Find the average rate of change of from y = x³ - 2x + 3 from 0 to x = 3. -

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Q: Find dy/dx for: y cosy = xy Y O -y sin y+cos y-x Y cos y-x Y -y sin y-x 1 cos y-x O O O

A: Given :y cosy= xy

Q: Solve the following Differential Equations with Laplace Transforms y" - 6y' + 15y = 2 sin(3t), y (0)…

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Q: * ?What is the z-transform of the following finite duration signal x(n)-(2,4,5,7,0,1)? x(z)=2+ 4z…

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Q: Find y': COS X y = 1-sin x O y' = sin² -sin x-cos² x (1-sin x)²

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Q: A giant spherical-shaped snowball is melting. If the radius decreases at the rate of 0.5 in/min, now…

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Q: (a) Solve the following: √4x² dx

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 12) The formula of the particular solution yp of y(4) + 4y"=3 sin(2t) - 5cos2t, is: a) yp= Asin(t) +…

A: The given differential equation:y4+4y''=3sin2t-5cos2t.We need to find the formula of  the particular…

Q: Question 4 (a) Solve the following: √4x² dx (b) Explain with the aid of a sketch how this value can…

A: Let's solve given integral.

Q: Q1/ Solve partial differential equations д2u 1- =+2 Әхду Х

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Q: 1.1 Determine the following derivatives with respect to x 1.1.1 y = cos(sin(cos.x)) 1.1.2…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: 13. Determine the distance between the following lines. [x, y, z]= [4,5,9]+s[-3,4,-9] and [x, y, z]=…

A: Above question is solved.

Q: expand using the binomial theorem. simplify (a+b)^2 (2x^2 -1/x^2)^4

A: solution

Q: 3) Simplify the expression ' ( ) + (1)

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Q: Suppose f(-1) = 1, f'(-1) = 5, and g(x) = x³ f(x). The tangent line to g(x) at x = 1 is given by y =

A: The objective is to find the equation of tangent line .

Q: x 5√x ³ + 4 dx 3 Lx5

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Q: Let ā 47- 57 and b - 27 + 3j + 4k. Find - 2ā - 36.

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Q: (D4 - 1)y = 7x².

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Q: Consider the following. √u-5(6 - ² + ¹0) du Simplify the integrand by distributing u-5 to each term.…

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Q: Let R be the region enclosed by the curves y = x³ and y = 2x². The area of R using vertical element…

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Q: Find a parabola with equation y=ax^2+bx+c that has slope 4 at x = 1, slope -8 at x = -1, and passes…

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Q: Instructions 1. Write your complete solution for each item. It should be handwritten. 2. Make sure…

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Q: 46. The region between the curve y = sec ¹x and the x-axis from x = 1 to x = 2 (shown here) is…

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Q: y" + 3y = 18x², y(0) = -3, y(0) = 0

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Q: f arctan y dy 3 f

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Q: Consider the function f(x) = 4 - 5x², −5 ≤ x ≤ 1. The absolute maximum value is and this occurs at x…

A: The given function is: f(x)=4-5x2 To find the absolute maximum and minimum of the function on -5≤x≤1

Q: = Calculate the area bounded by the curves: A. y = x² and y² = X.

A: Note: Hi and thanks for your question! Unfortunately, as per our guideline, only one question should…

Q: axb=2x2 X X What can you say about band ? a) Their magnitudes must be equal Ob) Their directions and…

A: Given.

Q: A piece of cardboard measuring 14 inches by 9 inches is formed into an open-top box by cutting…

A: Given :  A piece of cardboard measuring 14 inches by 9 inches is formed into anopen-top box by…

Q: 3d8 √93

A: Here we have to solve only part d

Q: (2x-1) dx 3 2x²³ -x²-27x +36 f

A: We can evaluate the given integral by using the method of partial fraction.

Q: √√-x-6 if x < -1 Let g(x)=2x-3 if-1<x<4 6-e-4 if x ≥ 4 a) Give the domain of the function. b) Is…

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Q: Evaluate the indefinite integral du =

A: The solution of the integral is given below:

Q: 15. f (sec² x) dx / (√(1-4 tan² x))

A: Hi and thanks for your question! Unfortunately, as per our guideline, only one question should be…

Q: 1. Find the first 3 terms in the Maclaurin series for the function f(x) = sin2x 2. Find the first 3…

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Q: 1. Given vectors u = 21-4ĵ- 3k and = (3,-1,2) and points A(3, -4, 2) and B(6, 3, -2), find if…

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Q: Find the limit or show that it does not exist. lim x - √x 818

A: follow next step

Q: Find the final value of the system corresponding to 3 (s + 1) y (s) = s (s²+2s + 10) 2 O 0.3 0.6 O 3…

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Q: Find the normal line to f(x) = ax² - 4ax at x = 3. Assume that a is a positive constant. Next…

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Q: 2. Find d using implicit differentiation. Enclose final answers. dx (a) √x=y=√√√x + y = 5 (b) xsin y…

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Q: Find the integration of the following functions COSX 1) dx 3+8sinx 2) fx tan(x² + 1)dx

A: In this question, we want to solve the given integrals.

Q: Solve the linear system of equations. 2x+v+6=-1 5x+y-3=14 7x-5y+2= = 7

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Q: Rewrite the following quantities mo 1) e5ln x+4Lny-In z 2) 2Ln√x + 2Lne - 2Lne*

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Q: Determine the first four terms in the binomial expansion of (-3-2x¹).

A: Here we have to open the binomial expansion.

Q: dh dt k √h(t) ||| h(0) = 2 2 ● T.V

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Q: 1.If f(x,y) cos(4x-2y)+ln(y² -2x) find £xy fx fxy,

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Q: Show that: le a (i) a е a а al (2a +1)(1-a)2

A: Given :laaalaaal=2a+ll-a2

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: * The z-transform of a signal is given below,its final value Z-1 2-¹ (1-2-4) x(z) = 0.25 (1-z-¹)²…

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