#1

This page lists questions and answers that were posted by visitors named #1.

Questions

The following questions were asked by visitors named #1.

Find the magnitude of the resultant force and the angle it makes with the positive x-axis. (Let |a| = 30 lb and |b| = 16 lb. Round your answers to one decimal place.) lal point upward as a 45 degree angle on the first quadrant lbl point downward as a 30 d...

A block-and-tackle pulley hoist is suspended in a warehouse by ropes of lengths 2 m and 3 m. The hoist weighs 340 N. The ropes, fastened at different heights, make angles of 50° and 38° with the horizontal. Find the tension in each rope and the magnitude...

Find the vector, not with determinants, but by using properties of cross products. k × (i − 8j)

Find a nonzero vector orthogonal to the plane through the points P, Q, and R.? Consider the points below. P(0,-3,0), Q(4,1,-3), R(5,3,1)

Find the volume of the parallelepiped determined by the vectors a, b, and c. a =(1,5,4) b =(-1,1,5) c =(4,1,4)

A crane suspends a 500-lb steel beam horizontally by support cables (with negligible weight) attached from a hook to each end of the beam. The support cables each make an angle of 60° with the beam. Find the tension vector in each support cable and the ma...

Suppose that a doesn't equal 0. a) If a.b = a.c, does it follow that b = c? b) If axb = axc does it follow that b = c? c) If a.b = a.c and axb = axc, does it follow that b = c?

Find symmetric equations for the line. (Use the parameter t.) The line through (−8, 4, 7) and parallel to the line x/2= y/3= z+1

Find an equation of the plane. The plane through the point(5,3,6) and perpendicular to the vecxtor (1,-2,5).

Determine whether the planes are parallel, perpendicular, or neither. them.(Round to one decimal place.) 9x-3y+6z=2, 2y=6x+4z

Reduce the equation to standard form, classify the surface x^2-y^2+z^2-4x-2z=0 I need step by step to the answer ((x-2)^2)/5 -(y^2)/5 +((z-1)^2)/5 =1

Find the limit. lim t-->∞ [(t^2 -t)/(t-1)I +√((t+8))j + sin(πt)/ln(t)k]

Find three different surfaces that contains the curve r(t)=2ti+e^tj+e^2tk.

Reduce the equation to one of the standard forms y^2 =x^2 +(1/9)z^2

Make a large sketch of the curve described by the vector function r(t)=<t^2, t >, 0 less than equal to 2, and draw the vectors r(1), r(1.1), andr(1.1)-r(1).

Find a vector equation for the tangent line to the curve of intersection of the cylinders x^2 + y^2 = 25 and y^2 + z^2 = 20 at the point (3, 4, 2).

Evaluate the integral.[0,pi/4]∫( sec(t)tan(t)+ tcos(2t)j+ ((sin(2t))^2) *(cos(2t))k) dt

Find the length of the curve correct to four decimal places. (Use a calculator to approximate the integral.) R(t)=(t^2,t^3,t^4) 0<=t<=2

Find the length of the curve correct to four decimal places. (Use a calculator to approximate the integral). r(t) = (cos π t, 2t, sin 2πt), from (1, 0, 0) to (1, 4, 0) This what I did. r'(t)=-πsin(πt),2,2πcos(2πt) lr'(t)l=√π^2sin^2(πt)+4+4π^2cos^2(2πt) L=...

At what point does the curve have maximum curvature? y = 5 ln(x)

Graph the curve r(t)=(sin(3t),sin(2t),sin(3t)) At how many points on the curve does t appear that the curvature has a local or absolute maximum? I don't know how to graph this by hand or calculator. Any suggest.

The graph r(t)=<t-3/2sin(t),t-3/2cos(t),t> . For which values of t is the curvature largest?

The graph of r(t)=<t- 3sin(t)/2,1- 3cos(t)/2,t> For which values of t is the curvature largest? I don’t know why my answer is not matching the answer key. Follow up for Oobleck R’(t)= 1-3cos(t)/2, 3sin(t)/2, 1 R’’(t)=3sin(t)/2,3cos(t)/2,0 This is what I d...

Use the formula in Exercise 42 to find the curvature. x=acos(ωt), y=bsin(ωt) Exercise 42 formula: k = l(x' y'' - y' x'')l / (x'^2 + y'^2)^(3/2) This is what I did but don't know why my answer not correct. x'=-aωsin(t), y'=bωcos(ωt),x''=-aω^2cos(ωt), y''=-...

A batter hits a baseball 3 ft above the ground toward the center field fence, which is 10 ft high and 400 ft from home plate. The ball leaves the bat with speed 115ft/s at an angle 50 above the horizontal. Is it a home run? (In other words, does the ball...

A ball with mass 0.8kg is thrown southward into the air with a speed of 30m/s at an angle of 30 to the ground. A west wind applies a steady force of 4N N to the ball in an easterly direction. Where does the ball land and with what speed?

Find the tangential and normal components of the acceleration vector. (r)= (t^2 +1)I +t^3 j, t>=0? I need to know what are the formulas to solve for them if I got stuck, I will ask later.

Find the tangential and normal components of the acceleration vector. (r)= 2t^2i + (2/3t^3 -2t)j These are what I did.There are just too many steps so I just show the important one r'(t)=4ti+(2t^2 -2)j r''(t)=4i+4j llr'(t)ll=√(4t)^2 +(2t^2 -2)^2 =2(t^2 +1...

Find the set on which h is continuous. h(x,y)=(5-xy)/(2+x^2 y^2) +ln((5-xy)/(2+x^2 y^2))

Find the indicated partial derivative. (Assume a, b, and c are greater than three.) u = x^(a)y^(b)z^(c) [∂^(6)u]/[∂x ∂y^(2)∂z^(3)]=

The length ℓ, width w, and height h of a box change with time. At a certain instant the dimensions are ℓ = 7 m and w = h = 2 m, and ℓ and w are increasing at a rate of 3 m/s while h is decreasing at a rate of 1 m/s. At that instant find the rates at which...

The temperature at a point(x, y, z)is given by T(x, y, z) = 100e^−x^2 − 3y^2 − 9z^2 where T is measured in °C and x, y, z in meters. (a) Find the rate of change of temperature at the pointP(4, −1, 5) in the direction towards the point (5, −2, 6). (b) In w...

Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function. (Enter your answers as a...

How do I take the x-partial derivative of -5e^(-x^2 -y^2)(-2x^2 +2xy+1) fx= These is what I have tried: fx= [-5e^(-x^2 -y^2)(-4x +2y)] +[(-2x^2 +2xy+1)-5e^(-x^2 -y^2)*-2x] -fx= [-5e^(-x^2 -y^2)(-4x +2y)] +[(-2x^2 +2xy+1)10xe^(-x^2 -y^2)] -fx= [-5(-4x +2y)...

Answers

The following answers were posted by visitors named #1.

How does you get 250-lb?

I don't under even after looking at the site.

Igot to the website but don't know how to enter the three equations to get a 3d graph.

I did that and my answer is wrong.Here what I did. (0,2)∫▒〖(√16t^4+9t^2+4t^2)dt (0,2)∫▒〖(t(16t^4+9t^2+4)^(1/2)dt u=16t^4+ 9t^2+ 4 du=64t^3+18t^2+9dt du=2t(32t^2+ 9)dt dt=du/2t(32t^2+ 9) (0,2)∫▒〖(t(u)^(1/2)(du/2t(32t^2+ 9)) [(3/2t(16t^4+ 9t^2+ 4)^(3/2)(...

Could you show the steps of how you solve for it to get to the answer. I try without u and got over 300.

I don't get how you get 0,2. can you explain further ?

How do I do part b. Use a CAS to find and graph the curvature function. Does this graph confirm your conclusion from part (a)?

Is this problem can only be solved by calculator or also by hand and what other graphing software? All I have is a Ti84 calculator.

typo at these parts [1+(f’(t))^2]^(3/2)= [1+ (1-3cos(t)/2)^2+ (3sin(t)/2)^2+( 1)^2]^(3/2) =[1+1 -3cos(t)/2 -3cos(t)/2+ 9cos^2(t)/4+ 9sin^2(t)/4) + 1)]^(3/2) =[-6cos(t)/2+ 9/4cos^2(t)+sin^2(t))+ 1+1+1)]^(3/2) =[-6cos(t)/2+ 9/4 + 3)]^(3/2) =[-6cos(t)/2+ 21/...

It was a typo. For r''(t), I got 4i+4tj. How about the answers? Are they correct or not?

uhh, There is a typo with the function. It suppose to be 5e^(-x^2 -y^2)(-2x^2 +2xy+1). Still use Bosian same method to solve and end with oobleck answer right?