Let f(x, y) = e(2x + 3y) (a) Find the tangent plane to f at (0, 0). (Let z be the dependent variable.) (b) Use part (a) to approximate f(0.1, 0) and f(0, 0.1). f(0.1, 0) = f(0, 0.1) = (c) With a calculator, find the exact values of f(0.1, 0) and f(0, 0.1). (Round your answers to two decimal places.) f(0.1, 0) = f(0, 0.1) =

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A: Explanation of the answer is as follows

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A: Given differential equation is  x2y''+15xy'+49y=0 given y(1)=-5,y'(1)=4

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A: Given that ψ=xz+y2and the direction vector2x⏞ -y⏞+3z⏞The point p0=(2,0,-1) To find the directional…

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Q: 2.(2.3) Let f(x, y) = xy(e² + e³) for (x, y) = R². (1) Find fx and fy. (2) Find an equation of the…

A: (1) fx​=yex+yey+xyexfy​=xex+xey+xyey (2)(3e)x+(3e)y−z=4e  Explanation:

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A: Approach to solving the question:To find the directions in which the…

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Q: Write the function f(x,y) = xcosh(x)cos(y) - ysinh(x)sin(y) + i(xsinh(x)sin(y) + ycosh(x)sin(y)) in…

A: f(z)=Re(z)cosh(Re(z))cos(Im(z))−Im(z)sinh(Re(z))sin(Im(z))+i(Re(z)sinh(Re(z))sin(Im(z))+Im(z)cosh(Re…

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