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3 years ago

NCERT SOLUTIONS FOR CLASS 7 MATHS ALL CHAPTERS

Mathematics

1 answer:

Galina-37 [17]3 years ago

5 0

Answer:

https://www.learncbse.in/ncert-solutions-for-class-7-maths/

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Consider F and C below. F(x, y, z) = yz i + xz j + (xy + 6z) k C is the line segment from (2, 0, −2) to (5, 4, 2) (a) Find a fun

WITCHER [35]

Answer:

Required solution (a) $f(x,y,z)=xyz+3z^2+C$ (b) 40.

Step-by-step explanation:

Given,

$F(x,y,z)=yz \uvec i +xz\uvec j+(xy+6z)\uvex k$

(a) Let,

$F(x,y,z)=yz \uvec i +xz\uvec j+(xy+6z)\uvex k=f_x \uvec{i} +f_y \uvex{j}+f_z\uvec{k}$

Then,

$f_x=yz,f_y=xz,f_z=xy+6z$

Integrating $f_x$ we get,

$f(x,y,z)=xyz+g(y,z)$

Differentiate this with respect to y we get,

$f_y=xz+g'(y,z)$

compairinfg with $f_y=xz$ of the given function we get,

$g'(y,z)=0\implies g(y,z)=0+h(z)\implies g(y,z)=h(z)$

Then,

$f(x,y,z)=xyz+h(z)$

Again differentiate with respect to z we get,

$f_z=xy+h'(z)=xy+6z$

on compairing we get,

$h'(z)=6z\implies h(z)=3z^2+C$ (By integrating h'(z)) where C is integration constant. Hence,

$f(x,y,z)=xyz+3z^2+C$

(b) Next, to find the itegration,

$\int_C \vec{F}.dr=\int_C \nabla f. d\vec{r}=f(5,4,2)-f(2,0,-2)=(52+C)-(12+C)=40$

3 0

3 years ago

You deposit $1500 into a savings account that pays 6% interest compounded yearly. How much money is in the account after 10 year

OlgaM077 [116]

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3 years ago

Read 2 more answers

Graph the equation below by plotting the y-intercept and a second point on the line. (Zoom in if blurry)

storchak [24]

Answer:

The coordinates I chose are (0,-5) and (2,-4)

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A market sells strawberries for $5 per pint. Yesterday the market sold $46 worth of strawberries and today $52 worth. Which of t

aliina [53]

Answer:

yesterday 9 today 10

Step-by-step explanation:

46/5= 9.2

52/5= 10.4

5 0

4 years ago

6x2 - 5x - 4 is equivalent to:

Sophie [7]

Answer:

(2x + 1) (3x - 4)

Step-by-step explanation:

Solution:

6x² - 5x - 4
6x²- (8 - 3)x - 4
6x²- 8x + 3x - 4
2x (3x - 4) +1 (3x - 4)
(2x + 1) (3x - 4)

4 0

2 years ago

NCERT SOLUTIONS FOR CLASS 7 MATHS ALL CHAPTERS​

NCERT SOLUTIONS FOR CLASS 7 MATHS ALL CHAPTERS