Car 1 is heading due south from Mathtown at a rate of 41 miles per hour. Car 2 is heading due west from Math town at a rate of 51 miles per hour. How fast is the distance between the cars increasing when Car 1 and Car 2 are 3 miles and 4 miles from Mathtown respectively? Write your answer, in miles per hour, in the box and upload your work in the next question.

Q: Question 1 Do the following series converge or diverge? Find the sum of any convergent series. For (...

A: (a) is converge  (b) is diverge (c) is converge see below the explanation  as per bertleby guideline...

Q: 1 Find the equation of the tangent line to the curve y = 3 11 5r3 - a2 + 6x – 6 at its point of inte...

A:

Q: On] and g. Be sure to put a scale on your graphs. 1)f(x) = -2", g(x) = 5-2" 2) f(x) = 3", g(x) = -.3...

A:

Q: Question 8. Compute the indefinite integral using integration by parts. In xdx

A:

Q: D(10.0 m) 30° 53° 25° C(12.0 m) A (8.00 m) Figure A1-1. Displacements on a Cartesian plane B (15.0 m...

A:

Q: value, moving from left to right on the graph, is a Select an answer v Select an answer minimum maxi...

A:

Q: 8) A table of values for h(t) on the interval [0, 10] is shown below. Use a left-endpoint rectangle ...

A: Explained below

Q: Find the radius of convergence, R, of the series. n = 1 5,יל R = Find the interval, I, of convergenc...

A:

Q: Graph the inverse of the given one-to-one function. Choose the correct graph below. Ay OA. OB. Oc. O...

A:

Q: Consider point P and vector v. Let L be the line passing through point P with direction v. P(4, 5, 3...

A:

Q: Use the Ratio Test or the Root Test to determine whether the following series converges absolutely o...

A: This is a problem of series calculation. Based on the root test we will determine the nature of seri...

Q: Enter the value rounded to the nearest thousandth in the box and upload your work in the next questi...

A:

Q: Question 1: The 3x3 matrix A is given below: [3 A = |1 [4 01 1 1 -1 3] a) Show that A only has two e...

A: The given matrix,A=3001114-13

Q: a ctused Kectangutar box with a squar bare If base side is measured with evror at and the height is ...

A: We have to find error percentage. 

Q: Determine the Equation from the information below: HA: none X-Int: (0, 0) VA: none Y-Int: (0, 0) Hol...

A: Given data÷

Q: Given: 1. v = 2i – 4j + vV5 k, u = -2i + 4j – V5 k 4 2. V = i+k, u= 5i + 12j Find: |n| Ja| 'a.n b. t...

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any sp...

Q: Find the derivative of y=ln[x^3(x^2-5)^3/4]

A:

Q: y y = f(x) a Let a = 5 and b= 6. If the average value of f(x) on the interval [5, 6] is 16, what is ...

A: Let a=5 and b=6the average value of fx on the interval 5,6 is 16

Q: Find the limit of the following sequence or determine that the sequence diverges. 2n 9n2 +8 Select t...

A: To find the limit of the sequence

Q: Find the general solution of the equation: y" - y' - 6y = exp(-x) - 7 cos x %3D

A: Given : y"-y'-6y=exp(-x)-7cosx

Q: f(x) = %3D n = 0

A:

Q: 2. In 3-space the distance d from a point P to the line L through points A and B can be expressed as...

A:

Q: 3. Find the angles between the vectors: a. u = 2i + j, b. u = 2i – 2j + k, v = 3i + 4k v = i + 2j – ...

A:

Q: x²y" + 2xy' – 6y = 0 , Y1 = x²

A:

Q: f(x ) = x -3 х 2—9

A: Simplify the function then take derivative and draw the graph. 

Q: Find two unit vectors in 2-space that make an angle of 45° with 8i + 5j. NOTE: Enter the exact answe...

A:

Q: Determine whether the following series converges. 00 (-1*1 Ink k=1

A:

Q: Consider the image below y = f(x) a b Let a - 5 and b- 6. If the average value of f(z) on the interv...

A: Given query is to find the value of the expression.

Q: m If f is a probability density function of a continuous random variable x over [a,b], then the medi...

A:

Q: * 1 For the next exact solution: y(t) -te*- y(0.2) is equal to- 25 25 0.2681280184 ) 0.1507778355 ) ...

A: We have to find value of y(0.2)

Q: Find the limit of the sequence an={sin(n)/n}..if it exists.

A: Take limit n tends to infinity for finding the limit.

Q: Cones ider funcho s fa)= 4/x-2J two important opeN intervals There are -0,A) and (A, ) where A is a ...

A: Solution is given below..

Q: 48-51 Find the horizontal asymptotes of the curve and use them, together with concavity and interval...

A:

Q: 1- 10 Consider the function defined by (x3 -3 f(x) = {? +1 if x 2 Is it continuous at x = 2? Differe...

A:

Q: S sin*3xcos*3xdx

A:

Q: Ser sed d tanr dy

A:

Q: Find all relative extrema. Use the Second Derivative Test where applicable. (If an answer does not e...

A:

Q: 5. 7.G.2.6 What is the volume of the figure that can be formed by the net below?

A: Given: - The figure is, To find: -The volume of the figure that can be formed by the net below.

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflect...

A:

Q: ax+b The function f is defined by f (x) = , for x E R, x # - %3D cx+d' Find the inverse function f1,...

A: Given: Now,               y=ax+bcx+d⇒ycx+d=ax+b⇒cxy+dy=ax+b⇒cxy-ax=b-dy⇒xcy-a=b-dy⇒x=b-dycy-a;   a≠...

Q: dV E = dx d(a+bx) E = - dx E = -(b)

A: Consider  V=a+bxE=-dVdx

Q: Q find the Pur Pose of the f =)ی £ f(x)= a 义く2 lim ×+2文+3X+ x²+1 9. メ→

A:

Q: 424

A:

Q: S 2tanzx

A:

Q: Are 2x – 4y = 3 and 2x + 4y = -3 parallel, perpendicular or neither?

A:

Q: Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time pass...

A:

Q: A 6.2 ft tall man is walking away from a 21 ft tall lamp post. If he is walking at a rate of 4 ft/s,...

A:

Q: би Compute Rw for R(u, v, w) = u + w (Give an exact answer. Use symbolic notation and fractions wher...

A: Here, the given function is: R(u,v,w)=6uv+w

Q: Use the method of shells to find the volume of the solid obtained by revolving the region bounded by...

A:

Q: c) Suppose a car drives at a speed of (5+ 3t ) m/s where t is time in seconds. How far did the car g...

A: