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3 years ago

Somebody help I’ve tried this question many times and still get it wrong

Mathematics

1 answer:

Troyanec [42]3 years ago

4 0

Answer:

$480 in interest to make a total of $1,480. She will not have enough money

Step-by-step explanation:

I=P.r.t

=1000*0.02*24

=$480

Total after 2 years: 1000+480=$1,480

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Find an equation for the plane tangent to the surface given by z = x^2 + y^4 + e^xy

aivan3 [116]

Answer:

z = 2x + y - 2

Step-by-step explanation:

To find an equation for a plane tangent to a surface, we need two things:

1) A surface Z = f(x,y)

2) A point P(x0,y0,z0)

The equation for the plane tangent to the surface Z at the point P is given by the equation a)

a) Zx(x0,y0,z0)*(x-x0) + Zy(x0,y0,z0)*(y-y0) -(z-z0) = 0

Where Zx is the partial derivative of Z in relation to x and Zy is the partial derivative of Z in relation to y

In your problem, we have that Z = x^2 + y^4 + e^(xy)

So Zx(x,y,z) = 2x + ye^(xy)

We have that (x0,y0,z0) = (1,0,2), so Zx(1,0,2) = 2

Zy(x,y,z) = 4y^3 + xe^(xy)

Zy(1,0,2) = 1

According to equation a), we have

Zx(1,0,2)*(x-2) + Zy(1,0,2)*(y-0) -(z-2) = 0

2*(x-2) + y - z + 2 = 0

z = 2x + y - 2 is the equation for the plane tangent to this surface at this point.

7 0

4 years ago

The point-slope form of the equation of the line that passes through (-4, -3) and (12, 1) is y-1 = 1/4(x – 12). What is

HACTEHA [7]

I think it’s y = 1/4x + 4

3 0

3 years ago

Two bikers, Derek and Tina, start riding from the same location. Derek rides due west for x miles. Tina goes due south and cover

kirza4 [7]

Answer: Tina rides 4 miles and Derek rides 3 miles.

Explanation:

Since we have given that

Distance covered by Derek in west direction be x

Distance covered by Tina in south direction be x+1

Distance between the bikers when they both stop is x+2

Since it forms right triangle, so we will apply "Pythagorus theorem":

$H^2=P^2+B^2\\\\(x+2)^2=x^2+(x+1)^2\\\\x^2+4x+4=x^2+x^2+1+2x\\\\x^2+4x+4=2x^2+2x+1\\\\x^2-2x^2+4x-2x+4-1=0\\\\-x^2+2x+3=0\\\\x^2-2x-3=0\\\\x^2-3x+x-3=0\\\\x(x-3)+1(x-3)=0\\\\(x+1)(x-3)=0\\\\x=-1,3$

Since distance can't be in negative sign, so we take x=3 miles

Derek rides 3 miles

Tina rides is given by

$x+1=3+1=4\ miles$

Hence, Tina rides 4 miles and Derek rides 3 miles.

3 0

3 years ago

Read 2 more answers

Multiple choice question

Law Incorporation [45]

Answer:

B, C, and D

Step-by-step explanation:

6 0

3 years ago

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The shortest board available at the lumber yard is 3 feet long. How many 4 inch lengths can a carpenter get from the available b

MrRissso [65]

Answer:

Total of 9 lengths of 4 inches can be taken out from a board of 3 feet

Step-by-step explanation:

length of board in feet = 3 ft

1 ft = 12 inches

Length of board in inch = $3\times 12$

= 36 inches

Let no of 4 inches length be = x

The equation become

$x \times 4= 36\\x= \frac{36}{4} \\x= 9$

Total of 9 lengths of 4 inches can be taken out from a board of 3 feet

5 0

3 years ago