Suppose z = f(x, y) = (x² + 2) sin(y) + xy². By setting one variable equal to a constant (either x = c, y = c, or z = c), answer the following questions. The intersection of the graph of f with the plane x = C is a sine curve if c = The intersection of the graph of f with the plane y=c▾ line if c = is a The intersection of the graph of f with the plane y=c is a parabola if c = A

Q: Find the points on the curve c where the tangent is vertical C: x= t - 48t, y = t + 12t. ОА (-128,…

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Q: Find an equation of the tangent plane at the given point: (2,1) F(r.a) 3²-3,

A: Since you have posted a multiple question according to guidelines I will solve first question for…

Q: 2. At what point greatest angle. on the line y = b does the line segment from (0,0) to ( a,0)…

A: To find the point on the line y = b  that subtend the greatest angle on the line segment from (0, 0)…

Q: Determine the coordinates of the absolute extremes of y = 3sinx(cosx), 0 ≤ x ≤ 2pi

A: Determine the coordinates of the absolute extremes of y = 3sinx(cosx), 0 ≤ x ≤ 2pi

Q: 3 If f(x) = and g(x) = 4*, find: x-4

A: The given functions

Q: Let j = and i = Compute the distance from j to the line through u and the 9. origin.

A: Given that y→=-39 and u→=12. To find the distance from y→ to the line through u→ and the origin, we…

Q: A) Find the derivative of the following functions. 2. y°+3xy=5x+17

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Q: Let f(x, y) =y2 (5x² + xy). Then a standard equation for the tangent plane to the graph of f at the…

A: Given function isWe have to find a standard equation for the tangent plane to the graph of f at the…

Q: Which of the following lines is perpendicular to the tangent line of y= х-3 at the point (2, –2) ? y…

A: We have to solve

Q: The derivative of the function 5° is equal to Select one: a. 55* 5- (In 5)2 b. 5° 5 (In 5) c. 55 (In…

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Q: The force F (in pounds) on a person's back when he or she bends over at an angle e from an upright…

A: The given model is: F=0.6W sinθ+90°sin(12°) where W represents weight of the person in pounds.

Q: Assume t = 0.005 a.) Write a sinusoidal function V(t) to model the b.) Use your function to…

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Q: Find an equation for the line tangent to the following curve at the point (2, 1). 1 – y = sin (x + y…

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Q: 1. a) Find dy for the equation 4x²y ² - x ³y = 3 dx b) find the x-coordinate of each point on the…

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Q: Find the equations of the tangent lines to the circle (x + 2)² + (y + 2)² = 25 at the two points…

A: At x=2; (2+2)2+(y+2)2=25 16+(y+2)2=25 (y+2)2=9 y+2=±3y = 1 or -5Therefore two points at which…

Q: BEcbuse the derivative of a function represents both the slope of the tangent to the curve and the…

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Q: Q1. If the line y = mx + c passes through (3,4) and makes an angle of sin-1 (3) with the positive…

A: If the line  passes through  and makes an angle of  with the positive direction of -axis, then to…