CALCULUS, EARLY TRANS. -WEBASSIGN ACCES
9th Edition
ISBN: 2819260099505
Author: Stewart
Publisher: CENGAGE C
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Chapter 4, Problem 25PP
To determine
To find: The time required to melt the snowball completely.
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An elastic rope is attached to the ground at the positions shown in the picture. The rope is being pulled up along the dotted line. Assume the units are meters.
9
ground level
Assume that x is increasing at a rate of 3 meters/sec.
(a) Write as a function of x: 0=
(b) When x=10, the angle is changing at a rate of
rad/sec.
(c) Let L be the the left hand piece of rope and R the right hand piece of rope. When x=10, is the rate of change of L larger than the rate of change of R?
○ Yes
○ No
4.1 Basic Rules of Differentiation.
1. Find the derivative of each function. Write answers with positive exponents. Label your derivatives with
appropriate derivative notation.
a) y=8x-5x3 4
X
b)
y=-50 √x+11x
-5
c) p(x)=-10x²+6x3³
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- Please refer belowarrow_forward(1) (16 points) Let f(x, y) = 2x + 3y + In(xy) (a) (6 points) Calculate the gradient field Vf(x, y) and determine all points (x, y) where ▼f(x, y) = (0, 0). (b) (4 points) Calculate the second derivative matrix D²f(x,y).arrow_forwardLet f(x, y) = 2x + 3y+ In(xy)arrow_forward
- (3) (16 points) Let D = [0, π/2] × [0, 7/6]. Define T: DCR2 R3 by → T(0, 4) = (2 sin cos 0, 2 sin sin 0, 2 cos x). Let S be the surface parametrized by T. (a) (8 points) Determine the normal, call it n(p), for the tangent plane TS at an arbitrary point p = T(0, 4). (b) (4 points) Show that n(p) parallel to the position vector T(0, 4) determined by p? Do the two vectors have the same direction or opposite direction? Explain. (c) (4 points) At which points p, if any, is TS parallel to the xy-plane?arrow_forward5:19 0 TEMU TEMU >>> 49 95% University at Albany - Single Sig... L Lumen OHM D2L HW4- AMAT100-Precal HW4 Score: 12.99/21 Answered: 18/21 × Question 16 Score on last try: 0 of 1 pts. See Details for more. > Next question Get a similar question You can retry this question below Find the inverse for the function k(x) = √√7x+12 k-¹(x) = Question Help: Video Message instructor Submit Question esc ||| F1 80 ୮ (x) = tarrow_forwarduse components when solvingarrow_forward
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