Find the minimum speed of a particle with trajectory c(t) = (t,14) for t 2 0.5. (Use decimal notation. Give your answer to three decimal places.)

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A: We have to find the linear function.

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A: Given that: a=<2, 0, 3> and b=<3, 1, 2>

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Q: Evaluate the following expression. arcsec (2) Provide your answer below: Radians

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Q: 20 18 16 14 12 10 8 D 6. 4 0 1 3 4 6 7 8 9 10 11 12 Quantity Suppose that supply and demand at a mar...

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Q: Test the series for convergence or divergence. 3"n! 13 · 18 · 23 ... (5n + 8) n=1 Use the Select v a...

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Q: 1. Find the values of x,4 and z that corvespond to the critical point of the funchion Z="f(x,4)= Sx?...

A: We have to find critical points of f(x,y).

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Q: -11m. ii. cos-1(cos()) CO 6.

A: Given problem:- cos-1(cos(11π6))=?

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A: Given:- A moving truck rental company charges $20.95 to rent a truck, plus 50.62 per mile. Suppose t...

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Q: The graph below shows the influence of the of the temperature T on the maximum sustainable swimming ...

A: Given:   Graph is given

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Q: Use the formula for the sum of a geometric series to find the sum or state that the series diverges....

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Q: 00 n Does the series (-1)"n*=| converge absolutely, converge conditionally, or diverge? n = 1 Choose...

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Q: If g = 1845°, simplify the expression sin- (sin g). If undefined, enter Ø. %3D

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Q: (a) Find the equation of the secant line joining the points (-1, –4), and (3, 0). y= (x+1) - 4 (b) U...

A: Given query is to find the equation of the tangent line at 1 and graph the function with tangent and...

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Q: 3 lim tan³ 2x x→0

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A: Given : (sinθ - θcosθ, cosθ + θsinθ);            0 ≤ θ ≤9

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Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the ...

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Q: 4- If the leng th of the edge of a cube IS Thcreasmg atarate of sem/s, hemtast is the volume of the ...

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Q: 1. f(x)=sqrt(x-5);x≠5 and g(x)=x+3. find the domain of (gof)(x) a. all real numbers greater than 5 ...

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Q: ven the side length b = 9 and the angle B = 43° on the triangle below, find the lengths of a and c a...

A: Given query is to find the value of a,c and A.

Q: cos 30 de

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Q: n(-7)" Use the ratio test to determine whether converges or diverges. n! n=7 (a) Find the ratio of s...

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Q: Use the images to determine the multiplicity (or power) for each root:

A: Given graph .               To find:- from graph find zeros with its multiplicity , Degree of f(x) ...

Q: 00 Does the seriesE(- 1)"n³ converge absolutely, converge conditionally, or diverge? n= 1 ... Choose...

A: Given series is  ∑n=1∞ -1nn323n To determine whether the series converges absolutely, converges cond...

Q: Use a linear approximation (or differentials) to estimate the given number. (1.999)5

A: Given problem:- Use a linear approximation (or differentials) to estimate the given number. (1.999)5

Q: Evaluate the integral. Show all your work. dx (x² – 1)3/2

A: Given that: ∫dx(x2-1)3/2

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Q: dy (c) -y = e* sin(2x) Integrating Factor Marks] y = 1 when x = 0

A: This question is based on solution of linear differential equation.

Q: Determine whether the improper integral converges and, if so, evaluate it. (Express numbers in exact...

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Q: Sy²e3»dy

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Q: S tan -) dx = a) x tan-1 (-) +÷In(x² + 1) + C b) x tan-1 () +글x2-글In(x2 + 1) + C c) x tan-1 (는) +글x2...

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Q: Find the abs extrema as well as all values of x where they occur for the domain.   f(x)= x/12 + 1/...

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Q: Evaluate the integral. dx (х — 4)(х — 8) (Use symbolic notation and fractions where needed. Use C fo...

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Q: ind the (explicit if possible) general solution of thls ODE: dy + x2 + y? 0. x2 + y? dx

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Q: Calculate the first four terms of the sequence, starting withn = 1. bj = 2 1 b, = bn-1 + bn-1 (Give ...

A: b1=2bn=bn-1+1bn-1

Q: Determine whether the series converges, and if so find its sum. 4k+2 Σ 7k-1 k=1 1) You answered corr...

A: The given series,     ∑k=1∞4k+27k-1

Q: Find the Taylor series at the given center. f (x) =x³- 5x, a=2

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Q: Evaluate the integral. Show all your work. 3 sin? xcos' xdx

A: Given that: ∫sin2x.cos3xdx