16:24 O* l 87%iHome wroke2.pdf(ans. : a )Vx,0 < y < 1; b)x20,y>0; c)x< 3, y > 0)16. Find the points of intersection of .x' = 4y and y= 4x. (ans.:(0,0,(16,64)17. Find the coordinates of the points at which the curves cut the axes :a) y=x' -9x' , b) y=(x'-1)(x* - 9) , c) y=(x+1\(x-5}(ans.a)(0,0;(,0,9,0;b)(0,9;(1,0,(-1,),(3,0),(-3,0;c/(0,25;(-10),50)poo0000000oooo000000ooo000000g20. If flx) = 1/x and g(x}=1/^x ,what are the domain of f, g , ftg , f-g, fg,f'g, g/f, fg and gf ? What is the domain of h(x) =g(x+4) ?(ans.: Vx + 0,Vx> 0,Vxr>0,Vx>0,Vx>0,Vx>0,Vx2 0,Vx 2 0,Vx> 0;Vx>4)21. Discuss the continuity of :x+-for x<0for Osx<1for 1sx<2for x=2-x'f(x)=-11forx> 2(ans.: discontinuous at x=0,2 ; continuous at x=1)22. Evaluate the following limits :x+ Sinx1+ Sinxa) lim-* 2x + 5b) limx. Sinxc) lim1-+* tan 3xd) limN (x+ Sinx )Vx +1- 2xf) lim1- Vxe) lim1-Xg) lim(Vn' +1 -n)x' -x(ans.:a)1/2, b)0, c)1/3, d)0, e)1/2, )-1/22, g)0)f(x)for x+ 323. Suppose that : flx) = x² – 3x² -4x +12 and h(x)={x- 3kfor x= 3)Find : a) all zeros of f.b) the value of k that makes h continuous at x=3.(ans.: a )x = #2,3;b)k = 5 )IIso0000000ooo00000oo000000ootso0000000r

My Dear student according to the rules of Bartleby we can solve only one question post others as a…

Answered: 16. Find the points of intersection of…

Math

Geometry

16. Find the points of intersection of x' = 4y and y= 4x. (as:(0,0,(16,64)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Concept explainers

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.

Question

16:24 O
* l 87%i
Home wroke2.pdf
(ans. : a )Vx,0 < y < 1; b)x20,y>0; c)x< 3, y > 0)
16. Find the points of intersection of .x' = 4y and y= 4x. (ans.:(0,0,(16,64)
17. Find the coordinates of the points at which the curves cut the axes :
a) y=x' -9x' , b) y=(x'-1)(x* - 9) , c) y=(x+1\(x-5}
(ans.a)(0,0;(,0,9,0;b)(0,9;(1,0,(-1,),(3,0),(-3,0;c/(0,25;(-10),50)
poo0000000oooo000000ooo000000g
20. If flx) = 1/x and g(x}=1/^x ,what are the domain of f, g , ftg , f-g, fg,
f'g, g/f, fg and gf ? What is the domain of h(x) =g(x+4) ?
(ans.: Vx + 0,Vx> 0,Vxr>0,Vx>0,Vx>0,Vx>0,Vx2 0,Vx 2 0,Vx> 0;Vx>4)
21. Discuss the continuity of :
x+-
for x<0
for Osx<1
for 1sx<2
for x=2
-x'
f(x)=
-1
1
for
x> 2
(ans.: discontinuous at x=0,2 ; continuous at x=1)
22. Evaluate the following limits :
x+ Sinx
1+ Sinx
a) lim
-* 2x + 5
b) lim
x. Sinx
c) lim
1-+* tan 3x
d) lim
N (x+ Sinx )
Vx +1- 2x
f) lim
1- Vx
e) lim
1-X
g) lim(Vn' +1 -n)
x' -x
(ans.:a)1/2, b)0, c)1/3, d)0, e)1/2, )-1/22, g)0)
f(x)
for x+ 3
23. Suppose that : flx) = x² – 3x² -4x +12 and h(x)={x- 3
k
for x= 3)
Find : a) all zeros of f.
b) the value of k that makes h continuous at x=3.
(ans.: a )x = #2,3;b)k = 5 )
II
so0000000ooo00000
oo000000oot
so0000000r

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