Car B is 30 miles directly east of Car A and begins moving west at 90 mph. At the same moment car A begins moving north at 60 mph. What will be the minimum distance between the cars and at what timet does the minimum distance occur ? A. 13.8 min. 25 mi B. 13.8 min. 23 mi C. 13.8 min. 28 mi D. 13.8 min. 30 mi

Q: Please

A:

Q: The position function of a particle is given by r(t) = ⟨-3t2, 5t, t2 - 4t⟩ At what time is the…

A: rt=-3t2, 5t, t2-4t To find the velocity, differentiate the position function with respect to t, we…

Q: Find the length of the curve. x = 4, y = 3/2, 0 st 0st <9 242 61 2

A:

Q: 1- Which of the following is the shortest distance from the point (15, 0) to the curve y = V6x ? a)…

A:

Q: O Find the shortest distance from (1, 2, 3) to the line x = 3+t, y = 1 – t, z = 6 - 2t.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the minimum distance from the origin (0,0,0) the line L: 1 +t -3 distance =

A:

Q: Let z and y be two positive numbers. If ry = 75, find the minimum value of 3ax + 4y. 87 O 75 60 65…

A: To find x and y

Q: A car leaves Smogtown at noon, heading west at a speed of 60 km/h. Another car heads south at a…

A:

Q: b) How far should we let 0 run to traverse the curves one time only?

A: To find how far θ needs to run in order to traverse the the the curve one time only, we need find…

Q: Find the lengthof the curve 」 9メ d S16 3_ %3D

A: Given curve is By fundamental theorem of calculus,

Q: Find the length of the curve. y = 3x3/2 from x = 0 to x = O 1 O 335 243 335 162 335

A:

Q: Find the minimum distance from the parabola a – y? = 0 to the point (0, 3). Minimum distance =

A: Find the distance using distance formula and then differentiate to get the minimum value equate the…

Q: 1 The length of the curve y = x³ + x¹ from x = 3 to x = 4 is: a. b. C. d. 145 16 257 12 99 8 593 48

A:

Q: Find the absolute minimum value of the function f (x, y) = 2x² + 2y? subject to the constraint 9x2 +…

A:

Q: Find the minimum speed of a particle with trajectory c(t) = (t3 – 4t, t2 + 1) for t > 0. Hint: it is…

A:

Q: If y = sin 0 + 5, what is the minimum value of y? a) 4 b) 5 c) 3 d) 8 e) 11

A:

Q: On a cosine function y=Acos(Bx)+C, which of the following expressions will always calculate the…

A: The cosine function is  y=Acos(Bx)+C

Q: Find the length of the curve. (2t + 1)3/2 2.y = Osts 16 x= 3

A:

Q: Find the minimum distance. a. Locate at 1:5 is_km away. b. Locate at 1: 7 is_km away. km away. km…

A:

Q: Find the minimum speed of a particle with trajectory c(t) =(t 3 − 4t,t 2 + 1) for t ≥ 0. Hint: It is…

A: Given a particle with trajectory : c(t)=(t3-4t , t2+1)    for t≥0 We need to find the minimum speed…

Q: Suppose vehicles are moving at 72 kph (kilometers per hour). Each car carries an average of 1.5…

A:

Q: In the following diagram, S represents the position of a power relay station located on a straight…

A: In the following diagram, S represents the position of a power relay station located on a straight…

Q: Find the lengths of the curve y = x^(1/2) - (1/3)x^(3/2), 1 … x … 4

A: Find the lengths of the curve y = x^(1/2) - (1/3)x^(3/2),    1≤ x ≤ 4

Q: Ship A is 50 nautical miles west of ship B. Ship A is heading east at 10 knots and ship B is heading…

A:

Q: Find the local minimum value of f(æ, y) = 4+17 +y17 – 17ry.

A:

Q: At what point is the following function a local minimum? f(x, y) = 8x²+5y? (5, 0) (8, 5) (8,-5) (8,…

A: Let f be a function with two variables with continuous second order partial derivatives fxx, fyy and…

Q: (d) Use calculus to determine the speed that minimizes T. What is the minimum value of T? Convert…

A: Part(d): For finding the minimum T we need to find first the value of a,b and c from the equation…

Q: If the power of the rocket handler is given by [(t – 11)(t2 + 1) + 5(7t – 5)]e-0.5t Where t is the…

A: Since, you have asked the multiple sub parts, we will solve the first three sub parts for you. I you…

Q: Find the length of the curve: - for 1< y<3. 3 4y 4. x=

A: As we know that the length of a curve x=f(y) is given by:- L=∫ab(f'(y))2+1dy

Q: 1. Find the length of the curve 4Y, 1<Y<2 8

A:

Q: Find the exact length of the curve. 36y =(x+4). 5 5 x s 6, y 20

A: Given: 36y2=(x2-4)3,  5≤x≤6,  y≥0 Arc length of curve y=f(x) on [a, b] can be calculated by…

Q: 1. Fit a (a) straight line (b) parabola to the given data points: X 1 3 4 6 7 8. y 1 1.5 2 3 4 5 8.…

A: (a) straight line

Q: For y> 0, find the minimum value of + 10 +5y2 5 y2

A:

Q: Suppose that the manufacturer of a gas clothes dryer has found that when the unit price is p…

A:

Q: The position function of an object is given by r(t) = (t2, 8t, t²- 28t). At what time is the speed a…

A:

Q: Find the minimum and maximum values of the function subject fCx.y) =6x?+Sy? to the given Constreant…

A:

Q: Find the minimum speed of a particle with trajectory c(t) = (t3 − 4t, t2 + 1) for t ≥ 0. Hint: It is…

A:

Q: Find the length of the curve. x = 4t, y =t3/2,0 st s9 122 242 3 3 O 3. seçenek 4. seçenek 61 61 3 2

A: Explanation of the answer is as follows

Q: The minimum value of Df(z, y) is ||Vf(z, y)||- Select one: O True O False

A:

Q: (C) f(r, y) = 4x2 – 5y2: maximum value = minimum value =

A: Given that  f(x,y)=4x^2-5y^2

Q: 6- Which of the following is the shortest distance from the point (15, 0) to the curve y = /6x ? a)3…

A: 5

Q: H し Owhat is the coordhinate point at the maxinmum? (一-) -5-4-3-2-11234 BWhat is the coordinate…

A: The point where a function takes the highest value is the maximum and the point where a function…

Q: Find the shortest distance from the given point to the line whose equation is given.

A: 6. The shortest distance from the point (0, 10) to the line y=13x is:…

Q: Determine the length of the curve y = x +x in the interval 1 <a <2. %3D 59 24 O 2.86 O 3.01 127 50

A:

Q: The minimum value of Duf(x, y) is ||Vf(x, y)||. Select one: O True False

A: The properties of gradient: If z is a function of two variables x and y then assume  fx and fy  are…

Q: t1, [ne*]dx. Find the minimum value of n for which [I] exceeds 2.

A: We have to solve given problems:

Q: The shortest distance from the point (5, 10) to the curve x2=12y is: a. 4.331      b. 5.127     c.…

A: Given curve : x2=12y Or y=x212…

Q: EX3\ Xi -- Xu iid B() ind sotE minimum sufficient

A: Given  X~Bin(1,θ)

Q: Please

A:

Q: Consider the line y = ax , where a is a positive constant. What is the shortest distance between the…

A: Here we use the general formula for calculating the shortest distance between line and point.