Similarly, approaching along the y-axis yields a limit equal to 0. since these two limits are the same, we will examine another approach path. approach (0, 0) along the curve y = x2. when x is positive, we have lim (x, y) → (0, 0) xy x2 + y2 = lim x → 0 x 3 correct: your answer is correct. x2 + x4 = lim x → 0 x2 incorrect: your answer is incorrect. when x is negative, we have lim (x, y) → (0, 0) xy x2 + y2 = lim x → 0 x 3 correct: your answer is correct. x2 + x4 = lim x → 0 x2 − incorrect: your answer is incorrect.

step-by-step explanation:

a child is 12 years old, and his father is 32 years older. in how many years will the age of the father be 2 times the age of the child?

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this needs to be the answer format, or else your answer is incomplete.

if the number of years is x, then the equation is

in __ years

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.

there is no picture in order for this question to be answered

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