eft R3= f(1) + f(2) + f(3) = 1² +2²+3² 7/14/ 6. Find the derivative of x² + xy + y² = 27 d 2x (x² + xy + y2 =27] = 2x+ [l³y+xdy ] + ay dy ay ax =O=X 22x+y+xay 20 erx A conical tank 20 feet in diameter and x+y+ cx-o dy auf dy axta you I-2x-4 21-24- Jy y to 30 feet tall is leaking water at a rate of 5 cubic feet per hour. At what rate is the water level dropping when the water is 15 feet deep? (Show a complete solution on

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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3 left
rea.
d
CO
GE
MN
-3
A
Dal,
Q
R3= f(1) + f(2) + f(3) = 1² +2²+3
= 141
6. Find the derivative of x² + xy + y² = 27
dy
d
2x (x²+xy + y2 =27]
tháng xe
= 2x + y +
ACAS
70-5=25
= 2x + [ly+xdy 3+2y²
ax
dy
alx
детс
CH
ax+ayer = -2x-y
douf
2(x)=-21-4
хочу уна!
at-65
65 X-
-axtay ay =0=
dy
ہے sui sty
10. Find the area between the curve
y = x³-4x²-7x+10 and the x-axis over the
interval from [0, 1].
A conical tank 20 feet in diameter and
30 feet tall is leaking water at a rate of 5
cubic feet per hour. At what rate is the
water level dropping when the water is 15
feet deep? (Show a complete solution on
the back.) dn
3
чу
√6 x ²³-4x² - 2x+10=X²-4x².
=1
7
24-01-23 +10=
니
E h
x10
(1
3
ات
har
2-4X-7x+10x10
3.2
6-xez
25-1.33-3.5+10
xtay
Transcribed Image Text:3 left rea. d CO GE MN -3 A Dal, Q R3= f(1) + f(2) + f(3) = 1² +2²+3 = 141 6. Find the derivative of x² + xy + y² = 27 dy d 2x (x²+xy + y2 =27] tháng xe = 2x + y + ACAS 70-5=25 = 2x + [ly+xdy 3+2y² ax dy alx детс CH ax+ayer = -2x-y douf 2(x)=-21-4 хочу уна! at-65 65 X- -axtay ay =0= dy ہے sui sty 10. Find the area between the curve y = x³-4x²-7x+10 and the x-axis over the interval from [0, 1]. A conical tank 20 feet in diameter and 30 feet tall is leaking water at a rate of 5 cubic feet per hour. At what rate is the water level dropping when the water is 15 feet deep? (Show a complete solution on the back.) dn 3 чу √6 x ²³-4x² - 2x+10=X²-4x². =1 7 24-01-23 +10= 니 E h x10 (1 3 ات har 2-4X-7x+10x10 3.2 6-xez 25-1.33-3.5+10 xtay
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