The trajectories of two particles are given by the vector functions r1(t) = and r2(t) = <1+2t,3+t,4+3t.> Do the particles collide?

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Q: Find all values of x such that f(x) = 0. f(x) = 2x − 3 9 X=

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Q: r(1)=2 13. y'=xy³(1+x²)-1/2, y(0) = 1

A: given  y'=xy3(1+x2)-12  dydx=xy3(1+x2)-12dyy3=x(1+x2)-12dx

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Q: Find the derivative. f(x) = (x¹+x) -95

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Q: Find the derivative of ƒ (x) = (x7 − 7x) (x² + 8x − 10). f'(x) =

A: Topic - Derivative of a function We are given that f(x) =(x7-7x)(x2+8x-10) we know…

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Q: The masses m, are located at the points P₁. Find the center of mass of the system. m₁1, m₂ = 2, m3 =…

A: Given: m1=1, m2=2, m3=3And P1=(-5,6), P2=(3,-8), P3=(-3,5)

Q: 4. Which line passes through the origin? O A y=3 OB y=x-3 O cy=-3r ODY 2r 1

A: standard form of line is y=mx+cwhere m is slope of line

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Q: [5x(4-2x²) dx

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A: Please see the below answer.

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Q: Find all the second-order partial derivatives of the following function. 74 f(x,y)=x²y²-x+y° 6 8

A: according to bartleby policy we do only first part of multiple questions there for please re post…

Q: K For the function, find the points on the graph at which the tangent line is horizontal. If none…

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Q: (a) Find the slope of the curve y=x²-3x -4 at the point P(3,-4) by finding the limit of the secant…

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Q: n equation of the line that passes through the given point and has the indicated slope m. Point…

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Q: Use differentials to estimate the amount of metal (in cm³) in a closed cylindrical can that is 22 cm…

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Q: For the given function, find (a) the equation of the secant line through the points where x has the…

A: y=f(x)=x2+xat x=1 , x=4 (a)  equation of secant line is y=mx+c,  where m is slope

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Q: What is the range of the function? y=log_(5)(x-1)

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Q: Evaluate the function f(x) at the given numbers (correct to six decimal places). f(x) = x² - 8x…

A: The function is given as , fx=x2-8xx2-x-56

Q: If f is a function that is continuous at x = 5 and x = 7, then f is continuous at x = 6. True False

A: Topic - Continuity We are given that f is continuous at x=5 and x=7 , then f is continuous at x=6.

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Q: (1-sin9x)²dx

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Q: Find T, N, and k for the space curve r(t) = (7e'cos t)i + (7e'sin t)j + 4k.

A: Given data:  r(t)=(7et cost) i +(7et sin t) j+4k

Q: Example 1: Determine the average rate of change between the points (-6,-2) & (3,8).

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: +68. Use L.T. s to solve the following D.E. d²v(t) + 5 dv(t) + 6v(1) = 40e^u(t) dt² dt v(0) = 5,…

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Q: (a) Approximate the definition of the derivative with small values of h. (b) Use a graphing…

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Q: For what value of x does the graph of the function f(x) = x² – 3x have a horizontal tangent line?

A: f(x)=x2-3xfor horizontal tangent line slope is zero slope is df(x)dxdxndx=nxn-1

Q: 1. Is the function g(x) continuous at x = 5? If so, why, if not, classify the discontinuity.…

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Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

A: To integrate: ∫x2+2x-25(x+2)(x+10)(8x-2)dx

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Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. an n! 24n

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