Example 3: Find the parametric and symmetric of the line passing through the point (-3, 5, 4) and parallel to the line equations x = 1 + 3t, y = -1 -2t, z = 3 + t. a

Q: 3. _1ffx,y) = tan—1 (), then X c) (x2 +y2)2 is ܐܐܐ )b ܐ)?x +y(

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Q: Critical Points: Determine the Critical points and its classification. Determine a, b, c and d so…

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Q: Given the function f(x) = x³ − 2x² + 3x within the interval [0, 2], - - at what values of x do the…

A: The given function:fx=13x3-2x2+3x ; within the interval 0,2.We need to find the values of x at which…

Q: 2 Evaluate f S t(1+²in t) dt 1+ Int+C O + C O 2 (1+In t) + C O2 ln | 1 + lnt | +C 2 (1+In t)

A: Evaluate the integral

Q: Determine the area below y = 3 + 2x - x² and above the x-axis

A: You must have an idea about how to use definite integral to get the area of any bounded region.

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Q: XNN y= 2²/2+3

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Q: 2. Show the volume of the solid obtained by rotating about the x-axis the region 1 under the curve…

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Q: Consider the function f(x): = 1 1-x²

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Q: Q4: Evaluate the following integral. 7/21/2 sin y 5% dy dx Y

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Q: Use the translations to graph the given function. Show all of the transformation on the same graph.…

A: We have to find transformation

Q: Find the solution of the given initial value problem in explicit form. Determine the interval in…

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Q: Two families went to Rollercoaster World. The Brown family paid $170 for 3 children and 2 adults.…

A: Disclaimer: Since you have asked for the handwritten solution but currently we are not providing any…

Q: The integrating factor of the differential equation A. cos x B. secx +y tanx - secx = 0 i= C. ecosx…

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Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y² = 9(x² -…

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Q: Express the repeating decimal as a fraction. 0.789626262626... 0.789626262626... =

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Q: dx √3 1 + x²

A: we use the  formula ∫dx1+x2 = tan-1 x    +C

Q: What are the fourth roots of -3 + 3√//3i?

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Q: Given f(x,y)=x2y³-4y, find the directional derivative at the point (2,-1) in the direction of v=.

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Q: Differentials: Determine the differential of the following: 3x² - 6xy+3y²-2x+2y-1=0

A: Given: 3x2-6xy+3y2-2x+2y-1=0

Q: Q1/ Solve the following differential equation then check the result dy +² - x² = 2xy -- dx Ans./y =…

A: Given problem:-

Q: an+1 Use the ratio to determine if the an +∞ n sequence {zn is strictly 2n + 5Jn=1 increasing or…

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Q: 1. Find the power series expansion for the following functions and find its interval of convergence.…

A: Let's find power series expansion.

Q: Complete the parametric equations for the line where the planes - 7x + y + 3z = 3 and 4x7y + z = 23…

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Q: 1. Use the Cauchy-Riemann conditions to find out whether the following functions are analytic. a.…

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Q: Evaluate using Partial Fraction Decomposition: (+1)²(y-1) dy y²

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Q: What is the anticlockwise moment acting on this crane? 25 m 5m load M20000 N 4000 N movable-…

A: Above question is solved

Q: 1) a) Find all vectors such that X = b) Explain why there is no such that X =

A: Solution: a) let v = (a, b, c). Then

Q: 3. a. b. Evaluate the following integrals 2dx dx cos²x√4 tanx - tan² x sin(√x)dx J I sin

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Q: If xdy - y = - y = √√√x² + y², then A. x + √x² + y² = cy² B. √√x² + y²y = cx² C. √√x² + y² + y = cx²…

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Q: Given that f(x): (a) (f+g)(-3) = (b) (fg)(-3) = (c) (fg)(-3)= (d) (4) | ( − 3) = x² 13x and g(x) = x…

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Q: What is the mass of body if the exerted force of 10 N is accelerated by 5 m/sec^2? O 4.5 kg 1.5 kg O…

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Q: Given the points A: (2,3,6) and B: (-3,-4,1), find the vector u = AB ū = < U

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

Q: The function f(x) = x² + 1 is Bijection from R to R Injection from R to R Onto and Injection from R…

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Q: # Determine whether the function z = f(x, y) = { (why or why not) for for (x, y) = (0,0) (x, y) =…

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Q: A small metal bar, whose initial temperature was 30° C, is dropped into a large container of boiling…

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Q: Consider the function f(t) = = -X 3-x (x − 3)² - if x 3

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Q: Q4- Solve the following differential equation: (1 + x²) dy + (y-tan-¹(x)) dx = 0

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Q: 1. The volume of a sphere is given by V = πr³, where V is the volume and r is the radius. If a…

A: Concept: Sphere volume: The volume of a sphere is the amount of space that a spherical can occupy.…

Q: The x-component of a force of 50N is 30N, then what will be the y- component of the same applied…

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Q: I need a solution here. Help please c. Five people ,of whom three are women and two are men, are…

A: Given

Q: A coffee merchant sells three blends of coffee. A bag of the house blend contains 100 grams of…

A: This question can be solved using the concept of system of linear equation.

Q: In one area, the lowest angle of elevation of the sun in winter is 23" 18. Find the minimum…

A: Here we find the distance.

Q: A = 1 4 2 4 व B = [2 00 Tonm 0 4 -2 1 D = -2 0 0 0 1000 0120 0 1 1 1 1

A: Concept: Determinants: For a square matrix, a determinant can be defined in several ways. The first…

Q: ng the problem) an interval in which the solution of the given initial value proble (t-4)y' + (Int)y…

A: We have to find the interval of t

Q: cos-¹(2x+5), then dom(f) = = If f(x) = x+3 (A) (-3,-2) L (B) [-3, -2] (C) (-3, -2] (D) (-1,1) (E)…

A: Doamin of a function:- It the set of input values where the function at the values…

Q: x³-y³ Determine whether the function z = g(x, y) = x² + y² (why or why not) for for (x, y) = (0,0)…

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Q: J (secs x) dx/csc x

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Q: where p(t) is the proportion of the population that knows the rumor at time t and a and k are…

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Q: 1 Consider the function f (x) = on the interval X - 1, 1]. If the Mean Value Theorem can be applied…

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