Solve using variation of parameters: y" - 2y + y = e/(1+1²) + 3et Type the letter of your answer. Yc = C₁ A+ C₂ Bekt

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: Evaluate the integrals: i) ² ²2 xe dy dx **² -xz

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

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

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Q: Evaluate xdx A√²+x+1-³x+2+ √(x + 2)² +²1+C B. √² + x + 1 - ² 1 x + ³ + √(x + 2)² + ² 1 + C…

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Q: 1 a. Determine whether the Mean Value Theorem applies to the function f(x) = x + on the interval…

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Q: Find the arc length of the graph of the function over the given interval. y = In x, [1, 8]

A: We have to solve given Questions.

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

A: We have to find r(t).

Q: Let R be the region bounded by the following curves. Find the volume of the solid generated when R…

A: Here we have to find the volume.

Q: The force exerted by an electric charge at the origin on a charged particle at the point (x, y, z)…

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Q: lim 0-4 In[(1 + h)² + 1] - ln(2) y

A: To evaluate the given limit .

Q: Use identities to find values of the sine and cosine functions of the function for the angle…

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Q: Represent the plane curve by a vector-valued function. x² + y² = 36 r(t) = (No Response) Need Help?…

A: The plane curve x2+y2=36

Q: 8. [ V4 – x? xdx

A: The given integral is: I=∫4-x2xdx  ...1   As we know the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: Sketch the plane curve represented by the vector-valued function and give the orientation of the…

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Q: Find normal line and parallel plane to the function f(x, y, z)=√xyz - 4 At point (1,2,8).

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Q: Graph of the function. Show all 7 steps. h(x)=(x+1)2-2

A: I am attaching image so that you understand each and every step.

Q: 7. Which of the following statements is true? The volume of the solid formed by rotating the region…

A: Volume

Q: Sketch the region enclosed by the curves and find its area. Enter the exact answer. Area = y = 5x²,…

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Q: Find r'(t). r(t) = (3 cos(t), 4 sin(t)) r'(t) = (No Response) Need Help? Read It Watch It

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Q: performance-enhancing Suppose that a test for drugs is 85% accurate (It will correctly detect 85% of…

A: Given that a test for performance-enhancing drugs is 85% accurate. Suppose that 5% of the 1600…

Q: Find r'(t), r(t), and r'(to) for the given value of to. Then sketch the space curve represented by…

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Q: 4 Determine -2 u tv and Give a is i and v и So Keat orthogonal to ²-5²³ lutô| = |a²|+12²1…

A: Given the vectors u+v and u-v are orthogonal and  u+v=u+v To find u and v .

Q: Find the equation of the curve that passes through the point (3, 2) if its slope is given by y =…

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Q: T Find the net area and the area of the region bounded by y = 2 cos x and the x-axis between x = -…

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Q: 3 여 x 3

A: Given: 121-111231X=0-21

Q: Determine the location and value of the absolute extreme values of f on the given​ interval, if they…

A: To determine the location and value of the absolute extreme values of f on the given interval, if…

Q: 7. The points of inflection are found by solving the first derivative equal to zero. 8. When the…

A: You must have idea about Calculus in order to get the answer for these questions.

Q: Question 2 a) [ ] Show that the equation 4x - 8y + 12z + 2x² + 2y² + 2z² = -20 represents a sphere,…

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Q: Find the radius of convergence, R, of the series. R = n = 2 I = (x + 4) 4" In(n) Find the interval,…

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Q: The masses m, are located at the points P₁. Find the moments Mx and My and the center of mass of the…

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Q: No calculators. Find the exact length of the curve. 0≤x≤l y=2+2x³/2,

A: Length of the curve  =∫ab 1+f'(x)2 dx .

Q: Consider the given function, h(x) = -x² +6x-13. (a) State whether the graph of the parabola opens…

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Q: Locate the absolute extrema of the function on the closed interval. g(x) = x² - 2x, [0, 9] minimum…

A: Given that      g(x) = x2 - 2x ,    [0,9]

Q: 2. J īdx 3 (x+2)+-(x+2)²

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Q: Find the curvature and radius of curvature of the plane curve at the given value of x. 32 y = 9x, x…

A: Given that Y= 9x - 32/x ; x= 4. And we find curvature and curvature of the plane at give x value.…

Q: Show that for each positive integer n the polynomial (x-1)2 is a divisor of q(x)=nxn + 1 -(n + 1) xn…

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Q: Solve the differential equation by variation of parameters. 3y" 6y' + 6y = ex sec x y(x) =

A: We have to solve the differential equation.

Q: Let g(x, y, z) = xy + yz + zx. Find a nonzero vector perpendicular to the level surface g(x, y, z) =…

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Q: Problem 4. A particle moves back and forth along a straight line with a velocity of v(t) = 1-²…

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Q: 25 x4+X'+2x х4 +X3+2x2+3x-2 x2-3х +2

A: We need to evaluate: ∫x4+x3+2x2+3x-2x2-3x+2…

Q: (a) Use the Midpoint Rule with n = 6 to approximate integral 8 x-6 S8 dx 6 x+8 ?

A: As per the instruction, we will be answering the first question. Given:

Q: Suppose that a particle moves along a straight line with velocity v(t) = 15 – 2t, where 0 ≤ t ≤ 3…

A: Here, the displacement is: S(t)=-t2+15t

Q: 3x 9. fxdx A.ln(e6x + 1) + c ₂-6x + c 3x c.exe Barctan (e6x) + c D.†arctan(e3x) + c

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Q: Total expenditures in a country (in billions of dollars) are increasing at a rate of f(x) =…

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Q: Find the partial fraction expansion of the rational expression 2x³ + 3x²2 - 22x - 60 x² x - 12 -

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Q: Problem 1 Find a linear differential equation with constant coefficients satisfied by e²x, e*, e³x,…

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Q: Use the Second Derivative Test to find the location of all local extrema in the interval (-2, 8) for…

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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: Q3 Let A(1,0,-1), B(-1,2, 1), and C(1,2,-2) are the three points in a 3D coordinates system. a)…

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