A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft...
6 ft tall walks away from the pole with a speed of 5 ft!s along
a straight path. How fast is the tip of his shadow moving when
he is 40 ft from the pole?
The answer is 25/3.
I let x be the length of shadow, y be the distance between man and pole.
I did 6/15=x/(x y)
then i got x=2/3y
dx/dt=dy/dt(2/3)
Then I got (2/3)5= 10/3
What did I do wrong. Please don't just give me the answer. Explain to me what I did wrong
Homework Answers
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A street light is mounted at the top of a 15-ft-tall pole. A
man
6 ft...
(1 point) A street light is at the top of a 17 ft pole. A 6 ft tall girl walks along a straight path away trom the...
(1 point) A street light is at the top of a 17 ft pole. A 6 ft tall girl walks along a straight path away trom the pole with a speed of 7 ft/sec At what rate is the tip of her shadow moving away from the light (ie away from the top of the pole) when the girl is 35 ft away from the pole? Answer How fast is her shadow lengthening? Answer
A 6-foot-tall wpman walks. t 6 ft/s toward light that is 30 ft above the ground....
A 6-foot-tall wpman walks. t 6 ft/s toward light that is 30 ft above the ground. What is the rate of change a street f the length of her shadow when she is 5 ft from the street light? At what rate is the tip of her shadow Let L be the length of the woman's shadow and tx be the woman's distance from the street light. Write. n equation that relates L and x. Differentiate both sides f the...
A man 6.50 ft tall approaches a street light 17.0 ft above the ground at the...
A man 6.50 ft tall approaches a street light 17.0 ft above the ground at the rate of 5.00 ft/s. How fast is the end of the man's shadow moving when he is 8.0 ft from the base of the light? 17.0 ft 6.50 ft 5.00 ft/s The end of the man's shadow is moving at a rate of ft/s (Round to two decimal places as needed.)
Tutorial Exercise A spotlight on the ground shines on a wall 12 m away. If a...
Tutorial Exercise A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks along the x-axis from the spotlight toward the building at a speed of 1.2 m/s, which is taken as the given dx/dt, how fast is the length of his shadow on the building decreasing when he is 4 m from the building? Step 1 Using the diagram below, find the relation between x and y.
Its question 15 that i am stuck with. I want to know how the model looks like and how to make it. 8.2 HC 15. As shown i...
Its question 15 that i am stuck with.
I want to know how the model looks like and how to make it.
8.2 HC 15. As shown in Figure 8.2.6 two large connected mixing tanks A and B initially contain 100 1liters of brine. Liquid is pumped in and out of the tanks as indicated in the figure; the mixture pumped between and out ofa tank is assumed to be well-stirred. (a) Construct a mathematical model in the form of...
By 5. (a) Verify that y = {24 sin x is a solution to the differential...
By 5. (a) Verify that y = {24 sin x is a solution to the differential equation dx2 dy + 5y = 0. dc [10 marks) (b) Differentiate the following functions with respect to c: (i) In(1 + sin? 2) (ii) * 2x3 - 4 - 8 dc. (c) Evaluate the integral / 272 * +432 – 4.7" [15 marks] [25 marks] 6. (a) let f: R+R be a function defined by f(x) 3 + 4 if : 51 ax+b...
Please help me with these questions, show working. thank you I-(8z2+3e3rcos(5y) i-( 5e3rsin(5y)) j+16xz k The vector fi...
Please help me with these questions, show working. thank you
I-(8z2+3e3rcos(5y) i-( 5e3rsin(5y)) j+16xz k The vector field I is conservative, find a scalar potential function f(x.y,z) such that I grad f and f(0,0,0) 1 Your answer should be expressed using the correct Maple syntax; for example, it might be: 2*x^2"y+5*z*exp(-9*y) cos(4*z) Do not use decimal approximations all numbers must be correct Maple expressions. The scalar potential is f(x,y,z) Skipped Change the order of integration and evaluate the following double...
Can someone please tell me where i went wrong? i got (6,-7,-1) as my answer but...
Can someone please tell me where i went wrong? i got (6,-7,-1)
as my answer but it is wrong....
Homework: Chapter 11 Homework (Sec Score: 0 of 1 pt X 11.1.45 Solve the given system of equations. If the system has no solution, say that it is inconsistent. x - 2y + 3z = 17 2x + y + z = 4 - 3x + 2y - 2z = - 18 Select the correct choice below and fill in any...
1. A ferris wheel has a radius of 12 m. The center of the ferris wheel...
1. A ferris wheel has a radius of 12 m. The center of the ferris wheel is 14 m above the ground. When it is rotating at full speed the ferris wheel takes 10 s to make a full turn. We can track one seat on the ferris wheel. Let’s define t = 0 to be a time when that seat is at the top of the ferris wheel while the ferris wheel is rotating at full speed. (a) Write...
please thank you! GROUP WORK 1, SECTION 11.10 Find the Error It is a beautiful spring morning. You are waiting in line to get your picture taken with a man in an Easter Bunny costume, as an amus...
please thank you!
GROUP WORK 1, SECTION 11.10 Find the Error It is a beautiful spring morning. You are waiting in line to get your picture taken with a man in an Easter Bunny costume, as an amusing gift for your friends. When you get to the head of the line, the bunny says "My! You are a very big child. "Oh you laugh, "I am not a child. I am just doing this as an amusing gift for my...
(1 point) A street light is at the top of a 17 ft pole. A 6 ft tall girl walks along a straight path away trom the pole with a speed of 7 ft/sec At what rate is the tip of her shadow moving away from the light (ie away from the top of the pole) when the girl is 35 ft away from the pole? Answer How fast is her shadow lengthening? Answer
A 6-foot-tall wpman walks. t 6 ft/s toward light that is 30 ft above the ground. What is the rate of change a street f the length of her shadow when she is 5 ft from the street light? At what rate is the tip of her shadow Let L be the length of the woman's shadow and tx be the woman's distance from the street light. Write. n equation that relates L and x. Differentiate both sides f the...
A man 6.50 ft tall approaches a street light 17.0 ft above the ground at the rate of 5.00 ft/s. How fast is the end of the man's shadow moving when he is 8.0 ft from the base of the light? 17.0 ft 6.50 ft 5.00 ft/s The end of the man's shadow is moving at a rate of ft/s (Round to two decimal places as needed.)
Tutorial Exercise A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks along the x-axis from the spotlight toward the building at a speed of 1.2 m/s, which is taken as the given dx/dt, how fast is the length of his shadow on the building decreasing when he is 4 m from the building? Step 1 Using the diagram below, find the relation between x and y.
Its question 15 that i am stuck with.
I want to know how the model looks like and how to make it.
8.2 HC 15. As shown in Figure 8.2.6 two large connected mixing tanks A and B initially contain 100 1liters of brine. Liquid is pumped in and out of the tanks as indicated in the figure; the mixture pumped between and out ofa tank is assumed to be well-stirred. (a) Construct a mathematical model in the form of...
By 5. (a) Verify that y = {24 sin x is a solution to the differential equation dx2 dy + 5y = 0. dc [10 marks) (b) Differentiate the following functions with respect to c: (i) In(1 + sin? 2) (ii) * 2x3 - 4 - 8 dc. (c) Evaluate the integral / 272 * +432 – 4.7" [15 marks] [25 marks] 6. (a) let f: R+R be a function defined by f(x) 3 + 4 if : 51 ax+b...
Please help me with these questions, show working. thank you
I-(8z2+3e3rcos(5y) i-( 5e3rsin(5y)) j+16xz k The vector field I is conservative, find a scalar potential function f(x.y,z) such that I grad f and f(0,0,0) 1 Your answer should be expressed using the correct Maple syntax; for example, it might be: 2*x^2"y+5*z*exp(-9*y) cos(4*z) Do not use decimal approximations all numbers must be correct Maple expressions. The scalar potential is f(x,y,z) Skipped Change the order of integration and evaluate the following double...
Can someone please tell me where i went wrong? i got (6,-7,-1)
as my answer but it is wrong....
Homework: Chapter 11 Homework (Sec Score: 0 of 1 pt X 11.1.45 Solve the given system of equations. If the system has no solution, say that it is inconsistent. x - 2y + 3z = 17 2x + y + z = 4 - 3x + 2y - 2z = - 18 Select the correct choice below and fill in any...
please thank you!
GROUP WORK 1, SECTION 11.10 Find the Error It is a beautiful spring morning. You are waiting in line to get your picture taken with a man in an Easter Bunny costume, as an amusing gift for your friends. When you get to the head of the line, the bunny says "My! You are a very big child. "Oh you laugh, "I am not a child. I am just doing this as an amusing gift for my...
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