The finite difference approximation of the first derivative in the explicit method used to solve parabolic PDES a?u _ du %3D can be approximated as O a. aT(x, t) At O b. ôT(x,t) Tj- . j-1 ij+1 At Ос. aT(x,t) Ta-T ij-1 At O d. ƏT(x,t) T-1-27+T, j-1 Ar

Q: The graph of y = f(x) has a y – intercept of 3 and the tangent line at the point (x, y) has an x-…

A:

Q: Let f(x) = 8x + 14 - 17e. Then the equation of the tangent line to the graph of f(x) at the point…

A: Let . To find the equation of the tangent line to the graph of  at the point .

Q: NO_ANSWER NO_ANSWER NO_ANSWER NO_ANSWER 1. f(x) = x³, g(x) = |x|³ 2. f(0) = cos(30) 3. f(t) = 4t² +…

A:

Q: Find the equation of the tangent line to the curve y = ○ y = 1/2 x 1/²/20 ○ y = x O O y = -2x - 5…

A: The slope of the tangent line to the given curve is equal to the derivative of the function at a…

Q: Find all value of x for the given function defined by y=2x³ – 6x where the tangent line is…

A:

Q: Solve for d) and e). The answers for a) b) c) I have posted on barterby previously and received.

A: Step 1: Step 2: Step 3: Step 4:

Q: Find y as a function of t if y(0) = 4, y(0) = 1. y(t): = 64y" - 144y + 81y = 0,

A: Given: The characteristics equation is             64m2-144m+81=0⇒m=--144±-1442-4· 64· 812·…

Q: Find the maximal directional derivative of function f(x,y) = xln(x+y)+x²y at the point (-1,2).…

A: To find -

Q: Find the approximation for the Green's function of the one-dimensional acoustic wave equation in the…

A: Given function is, cx=aebx Here, a>0 and it's constant here we have to see the effect of b so,…

Q: Differentiate the function. ((5y + 1)3 Vy2 + 1 G(y) = In G'(y) =

A: Solve the following question

Q: The equation of the tangent line for the function f(x) = -3 – 6x at r = 6 is %3D

A: The given function is, fx=-3-6x We need to find the equation of the tangent line to the function at…

Q: maximum point of y x – 2

A: Condition for Extreme Value: A continuous function fx, y has extrema at a, b if fx=fy=0 at a, b…

Q: Q4: A. . Find the derivative of the function at Po in direction of A. g(x, y) = x - + V3sec-1 (2xy),…

A:

Q: Please find the requested derivative of the following functions. s²-4st+t² = 4, find 25 ds dt - ds…

A:

Q: Find the equation of the parabola osculating with the function f(x)=cosx at x0=0

A:

Q: Find y as a function of a if y(0) = -2, (0) = 9, '(0) = -62. y(x) = y" - 4y" -y + 4y = 0,

A: Given that y''' -4y'' - y' + 4y = 0 ,   y(0) = - 2 y(0) = 9 '(0) = -62.

Q: Suppose the velocity of a ninja is given by v = ft, 3t², sin(π) at time t. If the position of the…

A:

Q: Find the orthogonal trajectories of the family of curves y = kx'. = C (C) 3 y³ +x? = C (D) 3 y³ + 3…

A: Given y5=kx5 To find the orthogonal trajectory

Q: Find an equation of the tangent plane to the graph y = x² + 2xz at (1,3, 1). (Possible Answer: 4r –…

A: We have to find an equation of the tangent plane to the graph y=x2+2xz at 1,3,1.

Q: Solve the following calc 3 problem: Find the derivative of the function at the given point in the…

A: The objective of this problem is to find the derivative of the function f(x, y) = -7x²+4y at the…

Q: The finite difference approximation of the first derivative in the simple implicit method used to…

A: given  ∂2u∂x2=∂u∂t to find the finite difference approximation of the first derivative in the…

Q: Find an equation of the tangent line for the following functions at the given points x-2 a. y= at a…

A:

Q: 16. r(0) = sec 0 tan 0 – 2eº -

A: