Let f(x, y, z)= y³z + ln(xy + 1) + ye*. Then the maximum rate of change off at the point A (0, -1, 1) is: This option √21 None of these O This option -√√2

Q: Find F as a function of x and evaluate it at x = 2, x = 4 and x = 9. F(x) = (t° + 8t – 4) dt F(x)…

A:

Q: f(x,y) = e (3x² + 3y2)

A:

Q: Use e – 6 definition and show that the function 4x² – y? if (r, y) # (1, –2) 2r + y f (r, y) = • 4,…

A:

Q: The functions f(x) = 1 and g(x) = 5x are orthogonal on the interval [-1, 1]. %3D %3D

A:

Q: A particle is traveling along the x-axis so that its position at all times x(t) is given by the…

A:

Q: Find f(X) and then evalvate f at X =2 3メ+1 3x2+ 1 f(x) = %3D f (2) つ. ニ

A:

Q: of Find (1.-7) if f(x.y) = 2x2 + 4xy - 5y? + 4x - 9y - 9. dx of (1, -7)-O (Simplify your answer.)

A:

Q: A certain rumor spreads through a community at the rate = 3y(1+y) , where y is the portion of the…

A:

Q: (2xy + 3x²)e, + (x² – 2yz + 2y)e,- (e2 +y²)e, olan f(x,y,z)

A:

Q: Use Linear Approximation to estimate Af f (2.05)-f(2) for f(x) = %3D x+I (Use decimal notation. Give…

A:

Q: (2 Ost<3 If f(t) = - -2 t23 then f(t) in terms of unit step function equals Select one: a. -2+2uz(t)…

A: You just need the definition of the unit step function.

Q: The windchill index announced during the winter by the weather bureau measures how cold it "feels"…

A:

Q: The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug crawls so that its…

A:

Q: Find Df,Rf/f(x). X 3 √x + √ X

A:

Q: Let f(x) = = a) 9x +4 following. Simplify if possible. f(x) = f(a) a - X = . Evaluate the 4 A' for x…

A: The given function fx=x9x+4. We have to simplify the expression fx-fax-a and find the value of A.

Q: Calculate L6 for f(x) = V9x + 3 over [1,3]. (Give your answer to three decimal places.)

A: Find the approximation L6 for the function fx=9x+3 over [1,3].

Q: Linearize f(x)=√√√2-x for a = 1 and use it to approximate the value of √1.6. L(x) =

A:

Q: Find the value for X, such that the function f(x, y) = x ln(x+y) satisfies f X fa- fy+Xfay - fax -…

A: Consider the function fx, y=xlnx+y. To find the value for λ such that the function fx, y=xlnx+y…

Q: Find the values of a and b such that a = b + [¹ f(x) dx − [*f(x) dx = f*f(x) dx. - 11

A: Given,