NAME : Georgia Southern University MATH 2243 Quiz 3 I You must show all work to obtain full credit. 1. Find the partial

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Name Georgia Southern University Math 2243 Quiz 3 I You Must Show All Work To Obtain Full Credit 1 Find The Partial 1 (48.59 KiB) Viewed 66 times

NAME : Georgia Southern University MATH 2243 Quiz 3 I You must show all work to obtain full credit. 1. Find the partial derivatives fr, fy, fars fyys fry, and fur of the following function f(x, y) =tan(x²y - x³ + y² + 7) + ln(x² + y² + 3) + e* sin(x). 2. The intersection of the surface z = 3x²y+8x+9y5 +1 with the plane y = 1 is a curve C. Find an equation of the line tangent to C at the point (1,1,21). 3. Find an equation of the plane tangent to the surface S at the point (1, 1,3), where S is defined by S: f(x, y) = 5x³y² - 2xy + x² + y -2. 4. Use your answer from the previous problem to approximate f(1.01,0.99). 5. (See Example 4.24) Show that the following function is differentiable f(x, y) = 3x²y-y².