Verify that the two planes are parallel, and find the distance between the planes. (Round your answer to three decimal places.) 2x - 4z = 4 2x - 4z = 2 eBook

Q: lease answer the following questions about the function f(x) = 3x5 - 6x¹. structions: If you are…

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Q: Find f'(x) and f"(x). f'(x) = f"(x) = f(x) = (x³ + 6)ex

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Q: An accessories company finds that the cost and revenue, in dollars, of producing x belts is given by…

A: I have appended the formula used in the solution part of the question

Q: (5) If y = sin(3x) the find y"

A: We have given trigonometric equation  y=sin3x y'=dydx y'=ddxsin3x y'=cos3x·ddx3x y'=3cos3x…

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Q: Show that the lines L₁ : x = 1 -t, y = 2t, z = 5 + t and L₂: x=1+3t, y = 3-6t, z = 5-3t are parallel…

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Q: Let r(t) = (5t51, - 4e5t, 2 sin(t)) Find the unit tangent vector F(t) at the point t = 0 T(0) =

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Q: Find the derivate of the functions: 2) F(x) = 5x²₂² f'(x) = f(x) = x²(x³²-₂) f'(x) =

A: Since, the student has mentioned to solve multiple questions with multiple sub-parts. But according…

Q: 2. Find dy/dx and d'y/dx² at the given point without eliminating the parameter : x = 6s², y=-25³ 3…

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Q: Given z = x + y6, x = ue", y = ve". Find (Use symbolic notation and fractions where needed.) du дz…

A: Given that , z=x5+y6 , x=uev , y=veu find ∂z∂u and ∂z∂v using chain rule II.

Q: Consider the function g(t) = = t 7+t²

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Q: Two vertical poles of heights 60 ft and 80 ft stand on level ground, with their bases 100 ft apart.…

A: Given : their bases 100 ft apart BD = 100 ft let BC = x  CD = 100 - x

Q: Consider the following planes. -2x + y + z = 2 10x - 5y + 2z = 4 (a) Find the angle between the two…

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Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

A: I have done solution step by step in detail ....go through the solution

Q: Graphs of the position functions of two particles are shown, where t is measured in sec notation.)…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Where does the line x = 5+1, y = 9-1, z = 21 intersect the cylinder x² + y² = 196? Enter your…

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Q: 1) Find the radius of convergence for f(x) =(-1)^4+1 ²n+1 n=0 4n+2

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Q: Bernoulli Equations des 4 1/3 y²-³ y=x²y²²

A: y'-3xy=x4y13divide both side by y13

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Q: Solve the separable differential equation dx 1 x² + 25 dt and find the particular solution…

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Q: Differentiate the function. g(t) = 4t-1/8 g'(t) =

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Q: What is the minimum value of f(x) = e-x + x on the interval [-2,3]

A: Given; f(x) = e-x + x , [-2,3].

Q: Evaluate the iterated integral In 3 In 5 Ţļ 3y dy dx

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Q: A class of fourth graders walks to a park on a field trip. The function y = f(t) graphed below gives…

A: The graph of function y=ft is given as ,

Q: Find an equation of the tangent line to the graph of the given function at the specified point. x²-1…

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Q: Find the critical points for the function f(x,y)=5x^2−10xy+6y^2−4y and classify each as a local…

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Q: Find the exact absolute maximum and absolute minimum of h(t) = cos(2t) + √3 sin(2t) on [0,1]. Show…

A: h(t)=cos(2t)+3sin(2t)for critical points, put h'(t)=0d dt(sint)=costd dt(cost)=-sint

Q: 4. Find the exact arc length of the curve over the stated interval: x=3t², y=t³,0 ≤t≤2

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Q: Solve the equation for x given that 1 ≤ x ≤ 8: ln x = sin x, using 5 iterations of Newton's method.

A: To find the solution of the following equation ln x = sinx by using Newton's method For the…

Q: 9. A ladder 25 feet long is leaning against the side of a house. The base of the ladder is pulled…

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A: We have to find the integral.

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Q: X -4 -2 0 2 4 36 6 10 0 -10 -6 ind h(f(g(0))) X ind k(3) if k(x) = . -3 -1 0 1 3 x²g(x). g(x) -7 -5…

A: f(-4)=6 f(-(-4))=f(4)=-6=-f(-4) same for other values of f(x) hence f(x) is odd function    g(x) is…

Q: Use the function below to answer the following questions. f(x) = x 12ln(x + 3) on the interval 0 ≤ x…

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Q: you have to round it off and it will become 2.21

A: The final answer  A = 2.21875 sq units

Q: Find the derivative of g(x) = x² ex

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Q: Consider f(x) = x²(7 - x)5. (a) Find f'(x) and factor your answer completely. f'(x) = 67228x³ -…

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Q: Find the general solution for the differential equation. dv 6- - 12xy - x = 0 y = = 1/2 + Ce=x² y =…

A: Given differential equation:- 6dydx-12xy-x=0

Q: 2. When a particle is located a distance x meter from the origin, a force of f(x) = 3x² + 4x…

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Q: Revenue The following spreadsheet gives annual production costs and profits at Gauss-Jordan…

A: To find the revenue in each sector in each year.