Srk to justiry a STAE Find the equation of the tangent plane to f(x, y) = In(/x² + y²) at the point (3,4). (Write your answer in the formz = ax + by + c.) いven *f(x,y) = en (ふこye) •(3,4) Formula Formula = fx(xoiYo) (x-X) +fy (x Y) (y-yo) +f(x,0,y.o)

Q: xy2+5x2-3y2+45=0  (1,5)   Evaluate the derivative at the given function point.

A: We have to find derivative

Q: Find the formula for a function of the form y=be^((-(x-a)^2)/2) with its maximum at the point (0,5).…

A:

Q: Find an equation for the tangent line to y = g(x) at the point (2, g(2)). Write your result in…

A: From graph we have g(2)=4 and therefore we compute the tangent of the graph y=g(x) at the point…

Q: Explain how to write an equation of the tangent line to the graph of f(x) = x2 at (2, 4).

A:

Q: A rocket is fired into the air from a table that is 3 feet above the ground with an initial velocity…

A: Given, Position function : h(t) = -16t2 +100t+3 a) Velocity function : v(t) = h'(t) = -32t + 100…

Q: At the point (1, −1), the function (x, y) has a derivative of 5 in the direction toward (3, 1) and a…

A: Consider the given information.

Q: Find the slope of the curve x^2 + y^2 = 3 + xy at (0,√3). (Simplify your answer.)

A:

Q: Find the value of a and b in the function f(x)=ab^x, if f(-1)=15 and f(2)=5/9

A: Given function,                               f(x)=abx                               And  f(-1)=15…

Q: Find p′(t), p′′(t), and p′′′(t) for the function p(t) = t^(100)+ 4e^(t)+ 16. (You can use rules or…

A: The function is p(t)=t100+4et+16

Q: Given h(x)=x^3+3, find the equation of the secant line passing through (-4,h(-4)) and (2,h(2))

A: