Determine whether the lines given by the symmetric equations x - 1 y - 2 z - 3 %3D 2 3 4 and x +1 y - 3 z +5 6 are parallel, skew, or intersecting.

Q: A farmer finds that if she plants 75 trees per acre, each tree will yield 45 bushels of fruit. She e...

A: Question- A farmer finds that if she plants 75 trees per acre, each tree will yield 45 bushels of fr...

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two po...

A: Answer is given below. C option is correct  

Q: explain

A: We have to choose the correct option from the given options

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

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A: Given that        y = ln(x7+3x-9)

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A: Given:       L-1se-π2ss2+4 Apply inverse transform rule:       if L-1Fs=ft then L-1e-asFs=Ht-aft-a w...

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A: Topic = Functions

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A: The given integral is: I=∫(2x-3)e2x2e6xdx=∫(2x-3)e2x2-6xdx  

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A: Given query is to find the cost function.

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A: Given: The graph of the polynomial K(x) is shown as:

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: If f(x) = x' = 4x² + 10 determine the contavity when x=1. Hint: First find the second derivative O[®...

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Q: b. g(b) Use the Substitution Formula, f(g(x) • g'(x) dx = | f(u) du where g(x) = u, to evaluate the ...

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A: By using the fact that the volume of a tetrahedron with adjacent edges given by the vector u,vand w ...

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Q: The functions f and g are continuous and differentiable with g' (x) = f(x). Selected values of the f...

A: Find your answer below 

Q: 1- x evaluate the improper integral dx. Does it converge V1 – x2 diverge? Justify your claim.

A:     ∫-111-x1-x2dx=∫-1111-x2-x1-x2dx=∫-1111-x2dx-∫-11x1-x2dx=arcsinx-11-0=π

Q: S(can - cot)*dz 6.

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Q: Evaluate the given integrals. 7x-4Vx 1. S S VE () dx

A: Let's find. 

Q: Let R be the region bounded by the functions f(x) = -3x2 g(x) = 2x2 as shown in the diagram below. F...

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points (4...

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Q: tan (n) – tan (n + 1) n=1 b) 2" + 3" 4" n=]

A: We have to find the sum of the given series

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Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, –1). v= (0, 24) a = %3D

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

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Q: ~3 1 (c) dx (x 1) 3. -

A: Given query is to find the integral.

Q: Use logarithmic differentiation to find the derivative of the following functions (y ′ ). Hint: Take...

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A: topic - implicit differentiation

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Q: cos s 40 d0

A: Let's find. 

Q: Use implicit differentiation to find y' and then evaluate y' at (- 2,0). - 32 ey = x5 - y3 y' = D y'...

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Q: Find the area of a sector of a circle with a radius of 5 ft with a central angle of 4

A: Given query is to find the area of the sector.

Q: Determine the coterminal angle of 0 that is in the interval [0, 27) -29T 0 = 4

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Q: Find the equation(s) of the tangent line(s) to the graph of the indicated equation at the point(s) w...

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Q: A particle travels along the x-axis such that its velocity is given by v(t) = (t25 + 4t) cos (3t). W...

A: The velocity of the particle is given by: v(t)=(t2.5+4t)cos(3t)

Q: Describe the transformations that must be applied to the graph of y = cosx to obtain the graph of y ...

A: Given query is to find the transformation applied.

Q: Let R be the region bounded by the functions f (x) = 3x2 as shown in the diagram below. Find the are...

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Q: If g' (x) = f(x) with g(-12) = a, g(-3) = 6, g(2) = c, and g(8) = d., %3D %3D BERVED express the val...

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Q: Find an equation of the plane with the given characteristics. The plane passes through the point (14...

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Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 16 eX + ...

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Q: A right circular cylinder has a fixed height of 4m. Find the rate of change of its volume V with res...

A: Let h and r denote the hieght and radius of base of the cylinder.1

Q: 1. A piece of string is wrapped three times around an empty paper towel tube. The tube is 9 in long ...

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Q: Find dy/dx at the point (0,1) using implicit differentiation given that xy + e y = e.

A: First we find dy/dx then put x=0 and y=1

Q: The shaded region shown below is bounded by the functions f(x) = -a² – 1.5x = 2.5. Find the area of ...

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Q: a) x-intercepts

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A: Explanation of the answer is as follows

Q: Determine if the series is convergent or divergent. Show your work, and clearly state the test used ...

A:     ∑n=1∞1(n+1)!-n!=∑n=1∞1(n+1)n!-n!=∑n=1∞1n(n!)≤∑n=1∞12n And the above series converges.