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1512Cross-Asset Log Ratio Curvature 2Compute the x 2 coefficient in ln(1+4x) - ln(1+-1x) - (5)x.数学简单数值题未尝试免费1516Levered Book Approximation 1Use a second-order Taylor approximation around 0 to estimate (1+2x) (3/2) * (1+-1x) (-1) at x=1/20.数学简单数值题未尝试免费1517Convex Funding Approximation 2Use a second-order Taylor approximation around 0 to estimate (1+1x) (1/2) * (1+3x) (-1) at x=1/50.数学中等数值题未尝试免费1518Skewed Ratio Approximation 3Use a second-order Taylor approximation around 0 to estimate (1+4x) (-1) * (1+-2x) (1/2) at x=1/25.数学中等derivation未尝试免费1519Adjusted Gross Multiplier 4Use a second-order Taylor approximation around 0 to estimate (1+3x) (2) * (1+1x) (-1) at x=1/40.数学困难derivation未尝试面试订阅1520Local Hedge Multiplier 5Use a second-order Taylor approximation around 0 to estimate (1+-2x) (1/2) * (1+5x) (1/2) at x=1/100.数学困难derivation未尝试面试订阅1521Quadratic Stress Calibration 1Choose c so that exp(2x + c x 2) - 1 - 2x has quadratic coefficient 5.数学简单数值题未尝试免费1523Asymmetric Buffer Calibration 3Choose c so that exp(-1x + c x 2) - 1 - -1x has quadratic coefficient 4.数学中等数值题未尝试免费3241Directional Derivative Along a Unit DiagonalLet f(x,y)=1x 2+2y 2. Compute the directional derivative of f at (1,1) in the direction of the vector (1,1).数学中等derivation未尝试面试订阅3242Directional Derivative of a Quadratic BowlLet f(x,y)=2x 2+1y 2. Compute the directional derivative at (1,-1) in the direction of (3,4).数学中等derivation未尝试面试订阅3243Directional Derivative of a Product SurfaceLet f(x,y)=xy. Compute the directional derivative at (2,3) in the direction of (0,1).数学中等derivation未尝试面试订阅3244Directional Derivative of an Exponential PlaneLet f(x,y)=e x-y . Compute the directional derivative at the origin in the direction of (4,3).数学中等derivation未尝试面试订阅3245Directional Derivative of a Log LevelLet f(x,y)=\ln(x+y). Compute the directional derivative at (1,2) in the direction of (1,0).数学中等derivation未尝试面试订阅3246Jacobian of a Scaling MapFor the transformation x=2u,\ y=3v, compute the absolute Jacobian determinant | \partial(x,y) \partial(u,v) |.数学中等derivation未尝试面试订阅3247Jacobian of a Shear-Rotation Style MapFor x=u+v,\ y=u-v, compute | \partial(x,y) \partial(u,v) |.数学中等derivation未尝试面试订阅3248Polar Coordinates JacobianFor x=r\cos ,\ y=r\sin , compute | \partial(x,y) \partial(r, ) |.数学中等derivation未尝试面试订阅3249Jacobian of a Triangular MapFor x=u,\ y=u+2v, compute | \partial(x,y) \partial(u,v) |.数学中等derivation未尝试面试订阅3250Jacobian of a Simple Nonlinear MapFor x=u 2-v,\ y=u+v 2, compute \partial(x,y) \partial(u,v) symbolically.数学中等derivation未尝试面试订阅3251Tangent Plane to a Quadratic SurfaceFind the tangent plane to z=x 2+y 2 at the point (1,2,5).数学中等derivation未尝试面试订阅3252Linearization of an Exponential SurfaceFind the linearization of f(x,y)=e x+2y at (0,0).数学中等derivation未尝试面试订阅