A man starts walking north at 6 ft/s from a point P. Five minutes later a woman starts walking south at 7 ft/s from a point 500 ft due east of P. At what rate (in ft/s) are the people moving apart 15 minutes after the woman starts walking? (Round your answer to two decimal places.) ft/s

Q: Use logarithmic differentiation to find the derivative of the function y = 8x"("), wherer (x) = 5x ....

A:

Q: Please answer the last 3

A:

Q: Write the complex number in polar form with argument 0 between 0 and 2n. -1 - V3i

A: Given query is to write the expression in Polar form.

Q: Question 6 Find the derivative of the function y = 8ln(cos 2x)+ 5tan? (3x) Write the value of y' (0)...

A:

Q: 48. h'(x) if h(x) 2+9

A: Here, the given function is: h(x)=e2xx2+9 To find the first derivative of h(x), using the quotient r...

Q: (b) Given that = 3 in steps of 0.2, given that y = 4 at r = 2. dy = x+Vy. Use Euler's Modified Metho...

A: Given y'=x+yy(2)=4   , y(3)=?       h=0.2  modiefied euler method is yn+1=yn+hfxn+h2 , yn+h2f(xn ,yn...

Q: 8. A parallelogram ABCD has vertices A(1, –2,6), B(3, –3, 12), and C(6, –2, 1). a) Determine the coo...

A: The diagonals of a parallelogram will bisect each other. So the mid point of the two diagonals will ...

Q: 3. When a camera flashes, the intensity of light seen by the eye is given by the function: 100t I(t)...

A:

Q: dy/dx = 8y-1 a, Solve with separation of variables method b, Solve by integrating factor method c...

A: topic -  differential equation

Q: uestion 1| a) Evaluate the average rate of change for each function over the given interval: i. f(x)...

A: We are authorized to answer one question at a time, since you have not mentioned which question you ...

Q: Find b, given that LA = 500, 2C = 55º,a = 30. (Round to the nearest hundredth.) 55 b 30 50° A 37.8 2...

A:

Q: Find the exact value of the expression, if it is defined. (If an answer is undefined, enter UNDEFINE...

A:

Q: Select all vectors perpendicular to the vector (1,3, -5). (2, 1, 1) O (0, 5, 3) O (1, 1,3) O (4, 2, ...

A: Given query is to find the perpendicular vectors to the given vector.

Q: Find the area between the curves y = x2 - 8 and y = 4 - x.

A: Explanation of the answer is as follows

Q: x = -1 if y=u° +5u – 4 a

A:

Q: Eliminate the parameter to find a Cartesian equation of the curve. x(t) = t² + 5 y(t) = 40 – 8t (a) ...

A: We have to solve the given question

Q: For the graph shown, identify a) the point(s) of inflection and b) the intervals where the function ...

A: Given graph,

Q: The graph below shows the percentage of the parent atoms left vs. the number of half lives that have...

A:

Q: y- 12e, y- , x-0, x-1 Sketch the region and a typical shell. Rotating a vertical strip around the y-...

A: Given:-the region bounded byy=12e-x2, y=0,  x=0 and x=1rotating about the  y-axisusing cylindrical s...

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = T0 and then find the nth Taylo...

A: The given function 5x; x0=-1

Q: Find the exact value of the trigonometric function. (If an answer is undefined, enter UNDEFINED.) 19...

A:

Q: Determine whether the series converges or diverges. n + 2 Σ nvn n = 1 converges O diverges

A: Given ∑n=1∞n+2nn We need to find whether it converges or diverges If the sum of a series equals a ce...

Q: 10. Find the derivative of y with respect to x. y=(x^(6)lnx)^(4)

A:

Q: Solution of the given differential equation. Assume dy + 30y = 12; dt -30 When y 30t dy !3! dt Thus,...

A: We will find the solution for the given differential equation. 

Q: 1 1 f(x,y) = x² - 2xy + 3x +y? %3D 1. Compute the first- and second-order partial derivatives. 2. Fi...

A: Solution is given below:

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

A: ratio test 

Q: 5. For the parametric curve z = 1- tť, y =t – ť°,t € R find: (a) the points where the tangent line i...

A:

Q: 32. In y = 2y² - x; (2, 1)

A:

Q: Obtain the general and particular solution 1. 2ydx = 3xdy, when x= 2, y = 1.

A: The given differential equation,1. 2ydx=3xdy, when x=2, y=1 Note:     Multiple questions are given, ...

Q: A student attempted to use L'Hopital's Rule as follows. Identify the student error, if any, or state...

A:

Q: Differential equation A tank initially contains 10 gal of fresh water. At t= 0, a tap is opened, po...

A: Given

Q: What is the value of? df (0), dx xez²+1 ? where f(x) = 1+e-* Write your answer as an integer or as a...

A:

Q: 4 -4 -5- Find the parametric equations for the graph shown above given that when t = 0 the point on ...

A:

Q: Lograithmic Function Give 3 examples with solution and final answer. Make sure it is unique and not ...

A: To Solve Logarithmic Functions To solve the logarithmic functions, it is important to use exponentia...

Q: Find the equation for a quadratic function that has horizontal intercepts at t = -2 and t = 5 and pa...

A:

Q: Y zo when X-0 -h sin TRX

A: topic - integration 

Q: f(x) Find g(3) given that f(3) = -6, f'(3) = -4, and 9(x) = |3| 8 Answer: 5

A:

Q: Find the work done (in Joules) in pushing a car a distance of 8 meters while exerting a constant for...

A:

Q: For f(x)=(x^2+x−2)/(x+2) does the Mean Value Theorem apply on the interval [0, 2] and why?

A:

Q: (-1)" - 1 6" n = 1 3

A:

Q: Activity 3.2. Find the slope of the tangent line to the graph of the function defined by y = 4 + 2x ...

A:

Q: Use sigma notation to write the Taylor series about = xo for the function. In x; xo k =

A:

Q: Find the arc length L of the graph of the given equation from P to Q or on the specified interval. y...

A: Solution is written in below steps.

Q: 4. Find the equation for the line tangent to a. y=x²- 3 x + 5 at the point (2, 3)

A: We will find tangent equation. 

Q: Find the amplitude, period, and horizontal shift of the function. y = -3 sin(6(x +)) amplitude perio...

A: Given query is to find the period amplitude and the horizontal shift.

Q: Let the height of an object bef(t)=t2+2t−4f(t)=t2+2t−4. What is the instantaneous rate of change of...

A: Given query is to find instantaneous rate of change of the object at t = 2.

Q: Find the exact value of the trigonometric function. (If an answer is undefined, enter UNDEFINED.) ta...

A:

Q: 4 + sin(n) n2 00

A: The given series,         ∑n=1∞4+sin(n)n2

Q: Solve the given differential equation by undetermined coefficients. y"- 2y' + 2y e2*(cos(x) – 8 sin(...

A:

Q: Find the in ter vals on which f ( Increasing and dec reashng iU concareup and concave down are ? and...

A: Given: y=x2-5x+6 To Find:  To find the intervals on which the function is i Increasing and decreasin...