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CALCULUS+ITS APPL.,BRIEF-MYLAB MATH
- Find ∂f/∂x and ∂f/∂y.arrow_forwardLet f: R² → R be defined by f(x, y) = 3x¹ + 7y³ +7 and set z = f(x, y). Find an equation for the contour line (level set) of f at level z= 9. help (equations)arrow_forwardSuppose that f(x, y) = -2z4+3 zy2 + 3y2, z=rcos (t) and y=rsin(t). Find af af and (write your answers as functions of the pair r and t). Ot Or af Or af ICHarrow_forward
- af af H.W: Find and for the functions: əx ду bun 2 2. f(x, y) = x² - xy + y² 1 4. f(x, y) = (x² broosa ati soubory wow (x)\ noitomut X (x² + y²) & Isiinorent vd botonob yllBueu 916 esvinsvineb seedT svitearrow_forwardLet f(x, y) = 3x2 + xy + 5y2. Find ∂f/∂x and ∂f/∂y.arrow_forwardq2) Let f(x,y,z) be a function that satisfies fx(1,-2,3)=1, fy(1,-2,3)=-3 and fz(1,-2,3)=2. What is the value of the directional derivative Duf(1,-2,3) where u=4i+3k ? a. 2 b. 10 c. 0 d. -5arrow_forward
- b) Let f be a differentiable function of one variable, and let z = f(3x² – 5y²). Show that az əz 5y-+ 3x-= = 0. ду əxarrow_forwardaf Let f(x, y) = 3x – y4 + 1. Find of and əx дуarrow_forwardLet f(x.y.z) be a function that satisfies fx(1,-2,3)=1, fy(1,-2.3)=-3 and f,(1,-2,3)=2. What is the value of the directional derivative Duf(1,-2,3) where u=4i+3k ? а. 2 O b. 10 O.O O d.-5arrow_forward
- Let Compute dw Əs dw Ət -(-5,-2)= -(-5,-2)= w = xy + yz - 5xz, x=st, y=est, z = t²arrow_forwardSuppose that F(x, y, z) = 0 defines z as a function of x and y and F is differentiable.Prove that ∂x/∂y .* ∂y/∂x = 1arrow_forwardLet f(x.y.z) be a function that satisfies fx(1,-2,3)=1, fy(1,-2.3)=-3 and f-(1,-2,3)=2. What is the value of the directional derivative Duf(1,-2.3) where u=4i+3k ? O a. 2 Ob. 10 O.O O d.-5arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage