Find parametric equations for the line formed by the intersection of planes x+y-z=3 and 3x-y+3z=5.

Q: Solve the given differential equation by undetermined coefficients. y" + 5y = -180x²e5x y(x) =

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: We have to analyze and sketch a graph of the function and find any intercepts, relative extrema,…

Q: Part c: ( Let A(1, 0,-1), B(-1,2, 1), and C(1, 2,-2) are the three points in a 3D coordinates…

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Q: However, the answer is (1/2, 0).

A: Given curves:- y=x+2 , y=x2 -4  find center of mass

Q: A boat is heading towards a lighthouse who's beacon light is 148 feet above the water. The boat's…

A: Topic = Trigonometry

Q: Evaluate the ff (show all steps) S X 2/3 x+1 dx

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Q: Problem3 Find a curve in the xy-plane passing through the point (1, 2) and for which th normal line…

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Q: Given the function f(r. y) = 1² + y² + 1 • For every point (r. y) = R², compute the gradient and the…

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Q: Find the radius of convergence and the interval of convergence. xk k(k + 5) Radius of convergence:…

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Q: ³ [] (2² + y²) p(x, y, z)dV where p is the density function. Moment of inertia about z is calculated…

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Q: Let A(t)=15(0.8)^0.2t (in milligrams) be the amount of drug in a patients body at time where t is…

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Q: Using [ y = e^(2x) (c1 + c2) + 3/2x2 (2x) ] and [ y = ( c1 + c2x ) e^(2x) + 3x/25 sinx + 4x/25 cnx +…

A: The given differential equation is;  y'' - 4y' + 4y = 3e2x + xsinx

Q: Consider the following graph on the interval - 360° < x < 45°: 360 -330-300 270-240 -210 -180 -150…

A: We have given a graph of function. And find to amplitude, period and function

Q: Consider the function f(x)=√/2x-8 for the domain [4, co). Find f(x), where f¹ is the inverse of f.…

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Q: es (x²+bx+c)² dx

A: As per Bartleby guideline, only the first question has been answered in case of multiple questions.…

Q: The graph of f is shown in the figure to the right. Let A(x) = for f. Evaluate the following area…

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Q: In a pool filled with water to a depth of 1 Rectangular plate calculate the fluid force on one side…

A: Given: Depth of pool = 10ft Area of rectangular plate, A = 3ft×4ft=12 ft2  Hydrostatic Force on…

Q: Find the distance between the points A(-5, -6, 2) and the plane that includes the y-axis and the…

A: As per Bartleby guidelines rule I am answering only first question as both question is not a…

Q: A Sliding Ladder A 25 ft ladder leaning against a wall begins to slide. How fast is the top of the…

A: This question is based on application of derivative.

Q: S cos 2x dx COSX

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Q: 3. Let f(x, y) = x³ 3x² + xy +7 and u = 0.6i + 0.8j, then find Duf(1,-2).

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Q: 3. Find the average rate of change of function f(x) = 4 - 2x² (a) On [0, 1] (b) On [a, a+h].…

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Q: Determine whether the series is convergent or divergent by expressing s as a telescoping sum. If it…

A: answer is in next step.

Q: If v=3i+2j+ k,w=3i+ 4k and the angle between v and w is 90, find v.w (solve)

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Q: im →0 In[(x + h)² + 1] + ln(x² +1) h

A: Given: limh→0lnx+h2+lnx2+1h

Q: Find all solutions of the equation in the interval [0, 21). 2 cos²x=2+ sinx Write your answer in…

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Q: Is W a subspace of the vector space? If not, state why. (Select all that apply.) W is the set of all…

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Q: Find the arc length of the curve below on the given interval. 3 1/3 3.5/3 y = 5x +9 on [1,27] The…

A: The given curve,    y=35x53-34x13+9 on 1,27

Q: Use Green's Theorem to Calculate the Line Integral ſy²dx + x²dy, where c is the triangle o vertices…

A: Given that, the line integral is ∫y2dx+x2dy and the vertices of the triangle is 0,0,4,0 and 4,4. By…

Q: Question 1 Let a = 2i − 3j + 2k and b = i − 2j – k. - Determine whether the vectors a a) and b are…

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Q: 2. y(x-y²)dx + x(x++y²)dy = 0

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Q: Congratulations! You won a contest sponsored by a local radio station. If you were given the choice…

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Q: Evaluate 2 1 ² ₁² + √²³² - ²3/7 + 3x²³ - ²/3 d. X =)dx 3 X X 2 6.780 6.870 -6.870 -6.087 -0.687…

A: Given ∫12x3+x43-3x32+3x2-2xdx

Q: Solve the differential equation by variation of parameters. y" + 2y + y = et In(t) y(t) =

A: The given differential equation is; y''+2y'+y=e-tln(t).

Q: Find the average value of f(x) = Enter the exact answer. fave = x (6x² + 5)² over the interval [0,…

A: Avg value is given by below

Q: Represent the plane curve by a vector-valued function y=1-x^2

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Q: 19. For a given function, f(r)=³-152² +48x+2. (a) Find the interval(s) on which is increasing. (b)…

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Q: Evaluate the definite integral. 2 cot-¹(x) 1 + x² 1 - 1 dx

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Q: Sketch the region enclosed by the curves and find its area. 1 y = 2 √1-25x² Y NOTE: Enter the exact…

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Q: In √x + 2 = 1 es 5.389

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Q: b). Find the equation of the plane that passes by P(1, -2,3), Q(1,0,1), and the Origin O(0, 0, 0)

A: We have to find the equation of plane.

Q: Part 1 Basic Integration Solve the following integrals through video presentation. 1. f(4x²-3x²+) dx…

A: I can solve it but i can't explain like video presentation. It's a basic integration. Just apply…

Q: Put the following program in standard matrix form: Z = X₁ + X₂ X1+ 5x2 <5 2x₁ + x₂ ≤ 4 maximize:…

A: see below the answer and the explanation

Q: Drag and drop your answer into the box: (a) An antidervative of f(x) is = 4x4 + 2x² - 5 (b) The…

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Q: Represent the line segment from P to Q by a vector-valued function. (P corresponds to t = 0. Q…

A: To find the equation.

Q: x4 dx X³- 2x²-7X-4

A: The given integral is: I=∫x4x3-2x2-7x-4dx   As we know the common integral.…

Q: Problem3 Find a curve in the xy-plane passing through the point (1, 2) and for which the normal line…

A: Here we have to find the equation of curve.

Q: A particle in R2 has a velocity function of v(t) = (3t²-4, 6t + 2) (given in m/s). After moving for…

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Q: رح 3 2 + + + + 32 - 2 -3x+2) 22م dx

A: I have stated the used formulas in the solution

Q: The line L with symmetric equations I+3 y-3 2-2 3 3 2 P(3,-3,-2). = passes through the point

A: Given line , x+33=y-33=z-22=k                                                     (1) If given line…