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3 years ago

Which expression is equivalent to 4 square root 24x6y/128x4y5? assume x=0 and y>0

Mathematics

1 answer:

erik [133]3 years ago

4 0

the answer is in the pic

correct me if I'm wrong

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Find the product.<br> орол<br> (5)(1).<br> (6)(7)

polet [3.4K]

Answer:

a) 5

b) 42

Step-by-step explanation:

a) any number multipled with 1 is the number itself

b) if you add 6 seven times you get 42

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3 years ago

Simplify the expression

Andrew [12]

Answer:

the answer would be option 2

Step-by-step explanation:

when multiplying #'s with exponents, all you have to do is add the exponents together

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3 years ago

Identify the area of the trapezoid.

mina [271]

Answer:I'm not sure but I can either divide or multiple

Step-by-step explanation:

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3 years ago

Read 2 more answers

(a) Show that a differentiable function f decreases most rapidly at x in the direction opposite the gradient vector, that is, in

Sophie [7]

Answer:

Step-by-step explanation:

$\text{Show that a differentiable function f decreases most rapidly at x in the }$

$\text{direction opposite the gradient vector, that is, in the direction of}$ $-\bigtriangledown f(x)$ $\text{. Let}\ \theta \ \text{be the angle between} \bigtriangledown f(x) \ \text{and unit vector u. Then } D_u f = \mathbf{|\bigtriangledown f| \ cos \ \theta }}$

$\text{Since the minimum value of} \ \ \mathbf{cos \ \theta} \ \ is \mathbf{-1} \ \text{occuring \ for \ 0} \le \ \theta \ < 2x, \\ \\ when \ \theta = \mathbf{\pi} , \text{the mnimum value of} \ D_uf \ is} -|\bigtriangledown f|, \text{occuring when the direction of u is } \\ \\ \ \mathbf{the \ opposite \ of} \ \text{the direction of } \ \bigtriangledown f (assuming \ \bigtriangledown f\ is \ not \ zero)$

b) $\text{From part A:}$

$If \ f(x,y) = x^4y -x^2y^2 \ \ decreases \ fastest \ at \ the \point \ (2,-5)\\ \\ F(x,y) = x^4y -x^2y^3 \\ \\ f_x = \dfrac{df}{dx}= \dfrac{d}{dx}(x^4y-x^2y^3) \\ \\ f_x = \dfrac{df}{dx}= y4x^3 -2y^3x \\ \\ For(2,-5) \\ \\ f_x = (-5)4(2)^3 -2(-5)^3(2) \\ \\ \mathbf{ f_x = 340}$

$However; f_y = \dfrac{df}{dy} = \dfrac{d}{dy}(x^4y - x^2y^3) \\ \\ f_y = x^4 -3x^2y^2 \\ \\ Now, for (2, -5)\\ \\f_y = (2)^4 -3(2)^2(-5)^2 \\ \\ f_y = -284$

$So; \bigtriangledown = < 340,-284> \text{this is the direction of fastest decrease}$

6 0

3 years ago

Solve the equation y=10x + 28.75

Alex17521 [72]

Answer:

x=y/10-2.875

slope=10

y= (0,28.75)

Standard form; 40x-4y=-115

Step-by-step explanation:

Not sure which answer you're looking for, but hope this helps!

5 0

3 years ago