Please and thank you!! Question 2 Find az az датда + if eBry2 = 1 +...
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Q7 Find the stationary points and determine their nature in each of the following cases (b) + y + 3x - 6y=-.
please include your process of getting to the
answer
Given the curve 2 + y = 1+ 3xy, we want to find the equation of the tangent line at the point (2, -1). Which of the following equation correctly characterizes the relationship between and y? out Select one: 3x2 + 3y2 () = 1 + 3y2 + 6xy (4) • 3x + 3yº ( 3 ) = 1 +6xy (6) e 3z2 + 3y2 (*) = 1+ 6xy ° 32°...
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13) [6;10] Given F(x, y, z)=(-2yz, y, 3x), and C is the curve of intersection of z = 3x² +3y2 and z=3. Sketch a representative drawing. Assume C has counterclockwise orientation when viewed from above. (a) SET UP the line integral (F. dr as a line integral with a parameter t. Your final integral should be a с single integral in terms of t only, including the bounds of integration....
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1. Find the cost minimizing amount of L and K to produce 60
units of output when w=1 and r=2.
2. Using the results from question 1, if the price of Q is
$10/unit, calculate your profits froproducing 60 units.
Q = 30L-3L2 + 60K-3K2
dy/ 1. Find 7dx by differentiating 2x2y = x - 3y2 implicitly. (8 pt) 2. Find dx if y = 4x -3x (6 pt) 3. Find dx if y = cos(x2) (6 pt)
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Find a particular solution, yp(), of the non-homogeneous differential equation d2 y (2) +6 (de y(x)) +9y (x) = -12 , d22 given that yn (r) = A e-31+B 1 e 30 is the general solution of the corresponding homogeneous ODE. The form of yp() that you would try is Yp = ax + 6 yp = 2040 O yp=0x2-32 Enter your answer in Maple syntax only the function defining yp()...
can y'all help with with these 3 please!! Thank you!! Question 1 Find the volume beneath z = f(x,y) and above the region described by the triangle with vertices (0,0), (4,0), and (0,4). f(x,y)= -x-y+c ; use c = 7. Hint: compute the double integral required to find the volume under f(x,y) using the limits of integration given by the region on the x-y plane. Question 2 Prove that F is a gradient field and determine the work of F...
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me 4-9 all of them please And thank you
a Take Test 7.04 Systems ofe id- 172783 x Test 3,02 Havel Got...-Take Test 606 E astern Eur ⓔAmazon.com-Online Sh." ■Priceline.com Question Status: QUESTION 4 Solve 3x + 2y-z=1 2x+y-3z =-1 o (-끔9-7) 8 O (11,-9,7) ○ (-11, 9,7) O (11 9 7 3 QUESTION 5 Solve 4x + y-2x=0 2x-3y + 3z = 9 0 (0, 9.0) 0(22-3) ○ (0,-9、0) QUESTION 6 Solve 4y6
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1. Use the limit definition of the derivative - lift+A) 6 to find the derivative of the following function: f(x) = 3x-2x? You must SHOW YOUR WORK: 2. Find the slope of the tangent line at x = 4 (using the derivative you just found) 3. Using the point-slope form of the line, find the equation of the tangent line at x=4. Isolate the y. 1. Find the derivatives using...
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QUESTION 15 Find the value of c+d if the angle between the vectors uz OA.2 O B.-1 OC.3 D. E.