I need help solving #13, #17 and #21. Only those three
In Exercises 13-22, sketch the graph described by the following spherical coordinates in three-di...
Only problem #18 In Exercises 13-22, sketch the graph described by the following spherical coordinates in three-dimensional space. 14. 17. ρ cos φ = 4 4 In Exercises 13-22, sketch the graph described by the following spherical coordinates in three-dimensional space. 14. 17. ρ cos φ = 4 4
PLE 2 The point (0, 5 3 , −5) is given in rectangular coordinates. Find spherical coordinates for this point. SOLUTION From the distance formula we have ρ = x2 + y2 + z2 = 0 + 75 + 25 = 10 Correct: Your answer is correct. and so these equations give the following. cos(φ) = z ρ = -1/2 Correct: Your answer is correct. φ = $$ Incorrect: Your answer is incorrect. cos(θ) = x ρ sin(φ) = θ...
A. Make a sketch of a vector F- (x,y, z), labeling the appropriate spherical coordinates. In addition, show the unit vectors r, θ, and φ at that point B. Write the vectors ŕ.0, and ф in terms of the unit vectors x, y, and г. Here's the easy way to do this 1. For r, simply use the fact that/r 2. For φ, use the following formula sin θ Explain why the above formula works 3. Compute θ via θ...
question 12 , please sketch it by your hand , do not use computer graph θ varies from 0 to 2 π. φ varies from 0 to π/4 while 0 is constant. find 9-10 Write the equation in spherical coordinates. 9. (a) :2-x2 + y2 10. (a) a-2r+y- (b) x2 +z2 = 9 (b) x + 2y+ 3:-1 11-14 Sketch the solid described by the given inequalities. 15. A solid lies above the cone:- + y and below the sphere...
15, 19, and 21 please! ill upvote best answer For the following exercises, sketch the curve and include the orientation. z(t) = t 12. ly(t) = ſt æ(t) = -vt 13. g(t) =t 14. { z(t) = 5 – 1t| g(t) =t+ 2 ſ e(t) = -t+2 ly(t) = 5 – 1t| 15. { 16. S x(t) = 4sint 17 ly(t) = 2 cost ſ «(t) = 2sint ly(t) = 4cost S x(t) = 3 cos? ly(t) = -3 sint...
B.2. The surface Sc of an ice-cream cone can be parametrised in spherical polar coordinates (r, 0, 0) by where θ0 is a constant (which you may assume is less than π/2) (a) Sketch the surface Sc (b) Using the expression show that the vector element of area on Sc is given by -T Sin where [41 (c) The vector field a(r) is given in Cartesian coordinates by Show that on Sc and hence that 4 2 (d) The curved...
22+ 24 only For the following exercises, consider the graph shown in Figure 1. 80 22. Estimate the intervals where the function is increasing or decreasing. ? , 23. Estimate the point(s) at which the graph of fhas a local maximum or a local minimum 100 Figure 16 For the following exercises, consider the graph in Figure 17. 24. If the complete graph of the function is shown, estimate the intervals where the function is increasing or decreasing. 25. If...
9,17,33 and ill like cos 22 14. 2+1 In Exercises 1-26 find the Taylor series for the function about the given point. In each case determine values of z for which the series converges to the function. 3 1. + about zo = 0 2. 1+2 about = 1 3. (1 - 2)2 about 20 = 0 4. e* about 20 = 1+i 5. sin z about 20 = i 6. cos z about zo = 2 - 7. sinh...
1) Sketch the graph of each of the following exponential functions. Make sure you label at least three points on the graph or include a t-chart with the coordinates. a. S(x)=3 b. y=213 c. g(x)= (3) 3 d. y e. f(x) = "+1
Save Problem #13: [2 marks] [2 marks] Sketch the graph of the function f(x, y) =9-22-y. (A) (B) 30 5 20 2 10 -5 -10 -15 20 A.202 1.21 - 2-4 2-2-4 C ) (D) -5 3 -10 15 (F) 0.5 1.0 04 0.7 0.3 3 -0.5 0.2 0.1 0.1 (G) (H) 15 10 5 0 16 14 12 10 28 -5 -10 -15