Let T(x,y)=(x+4y,−8x−4y)T(x,y)=(x+4y,−8x−4y). Find x⃗ x→ such that T(x⃗ )=(6,3)T(x→)=(6,3).
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Let T(x,y)=(x+4y,−8x−4y)T(x,y)=(x+4y,−8x−4y). Find x⃗ x→ such that T(x⃗ )=(6,3)T(x→)=(6,3). EXPLAIN STEP BY STEP PLEASE!
(1 point) Consider the function f(x, y) = e-8x=x2-4y—y2 Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. fx = fxx = fxy =
A curve is defined by the equation 4x* +8x*y? – 25x*y+4y* =0. Find the equation of the line tangent to this curve at the point (2, 1). Clearly show your process. Confirm your answer using Desmos and attach this graph (or at least a sketch) to your submission.
Please do it step by step and explain it. If a wave y(x, t) =(6.0 mm) sin(kx + (600 rad/s)t +phi) travels along a string, how much time does any given point on the string take to move between displacements y = + 2.0 mm and y= - 2.0 mm? Thank you!
Consider the vector field F(x, y, z) = 8x^2 + 3y, −5x^2y − 4y^2, 6x^2 + 7y − 8 which is defined on all of double-struck R3, and let F be the rectangular solid region F = {(x, y, z) | 0 ≤ x ≤ a, 0 ≤ y ≤ b, −1 ≤ z ≤ 1} where a > 0 and b > 0 are constants. Determine the values of a and b that will make the flux of F...
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1. Let Q1 = y(7), where y solves dy dx + 8x 2 = 5x, y(6) = 4. Let Q = ln(3 + |Q1|). Then T = 5 sin2 (100Q) satisfies:— (A) 0 ≤ T < 1. — (B) 1 ≤ T < 2. — (C) 2 ≤ T < 3. — (D) 3 ≤ T < 4. — (E) 4 ≤ T ≤ 5. 2. Let Q1 = y(1), where y solves dy dx + 1.7y = 5e 1.2x...
Determine the equilibrium, classify each equilibrium, draw a phase line. If y(0)=1 then lim y(t) = ? If y(0)=2 then what is the solution y(t) =? 3/3-4y Let dt 3/3-4y Let dt
Write down the equation of given parabola x? +8x+4y+12 =0 in standard form. State the vertex, focus and the equation of the directrix. Hence, sketch its graph. 4. Show that y² + 4y +8x + 12 = 0 represents a parabola. Hence, determine its focus, and directrix. [4 marks]
Laplace transform of the unit step function y" + 4y = ſi, if 0 <t<, y(0) = 0, y'(0) = 0. 10, if a St<oo.'