.Find extrema for a function y=f(x)%3D2X² - 8x on an interval [0, 6].

Q: Compare the values of delta y and dy for the function f(x)= x^3 - 3 at x=3and delta x= 0.2

A:

Q: Find the area of a triangle bounded by the yy axis, the line f(x)=7−(6/7x) and the line…

A:

Q: Examine f(x,y) = 2x2 - 4x +xy2 - 1 for relative extrema?

A: Calculate fx, fy , fxx , fyy , fxy for f(x,y) = 2x2 - 4x +xy2 - 1 as follows. f(x,y) = 2x2-4x+xy2-…

Q: The graph of y = f (x) is given below. y= f(t) 1 If F(x) = f(t)dt, what is the largest value and…

A: Given that  Fx=∫2xf(t) dt Now, F'(x)=∫2x∂∂xftdt+ddxx.f(x)-ddx2.f2         =0+f(x)+0F'(x)=f(x) Since…

Q: A factory selling cell phones has a marginal cost function C(x) = 0.01a? number of cell phones, and…

A: First graph the curve and their intersection point. In the graph we can see clearly that…

Q: Find the value of x for which the marginal profit is zero. C(x) = 2x, R(x) = 6x - 1,000 О а. х33,000…

A:

Q: find the absolute extrema of thefunction on the closed interval y=x \ln (x+3),[0,3]

A: A function is usually represented as f(x) where x is the input to the function and f(x) represents…

Q: Find the marginal revenue function. R(x) = x(18 - 0.04x) R'(x) =D

A:

Q: Find the linearization of the function given below at the specified point. f(x) 4 In(x) at a = 1…

A:

Q: f(x, y) = x² – y²

A: f(x,y) = x2 - y2 Let us firstly find the first order partial derivatives of the given function.…

Q: 4. Find the absolute extrema of the function f(x, y) = ry-x-3y on the triangular region with…

A: To find the absolute extrema of the function f(x,y).

Q: - Integrate the function f orgy) =y-Vx over triangle cut from the first quadrant by Line X+y=1

A:

Q: 1. Any function y = f(x) can be expressed as x = f(y) in standard mathematical methods for solving…

A: Given: For any function y=f(x) can be expressed as x=f(y) in standardmathematical methods for…

Q: f(x, y) = 4x² – y²

A:

Q: find the local extrema for the following function  f(x,y)= x^2 +y^2+xy-7x+4y+9

A:

Q: Find all local extrema for 4 f(x, y): * - 4xy + y.

A:

Q: Find the relative maximum and minimum values. f(xy) = e 6x2 + 4y2 + 8

A:

Q: Find the marginal profit function if cost and revenue are given by C(x) = 232 + 0.7x and R(x) = 4x -…

A: Given: C(x) = 232+0.7x R(x)= 4x-0.06x2

Q: Find the marginal profit function if cost and revenue are given by C(x) = 151 + 0.5x and R(x) = 8x –…

A:

Q: The student should determine the minimum rate of change of the function g(x, y) = y²e*Y on the…

A: First I have written the rule of minimum rate of change of a function at given point and then find…

Q: xy The level curves of the function f (x, y) x2 +1 O optio O option

A: A level curve of a function is curve of points where function have constant values. Z=f(x,y)  then…

Q: Find relative extrema for f(x,y)=x^3 - 6xy + 8y^(3) - 2.

A: Question- Find relative extrema for  f(x,y)=x^3 - 6xy + 8y^(3) - 2.

Q: 1. The area of the region enclosed by the x-axis, the curve y = f(x) > 0, and the lines x = to f³(b)…

A:

Q: The region in the first quadrant bounded by the x-axis and f (x) = 3x – x² is

A: The graph of region bounded by curves y=3x-x^2 and x-axis is

Q: Find the linear approximation L(x) to y = f(x) near x = a for the function. f(x) L(x) =

A:

Q: f(x, y) = e* (5– 2x+y)

A: Introduction: Like a single variable function, a multivariable function also does have extremum. In…

Q: 5. Find each of the two areas bounded by the curve y = x3 – 4x and y = x² + 2x. Solve in two ways.

A: Consider the two curves: y=x3−4x and y=x2+2x. The area of the region bounded in interval x∈a,b by…

Q: Find all the relative extrema of the given function below: f(x, y) = 3y² – 2y³ – 3x² + 6xy.

A:

Q: Find the marginal profit function if cost and revenue are given by C(x) = 157 +0.7x and R(x) = 8x…

A:

Q: If y = x(x – 1)* then y' at z = 2 is equal to

A:

Q: 1. Find the extrema of the function f(r, y) = y(x² + (ln y)²), y > 0.

A: fx,y =y x2+lny2 ,y>0 first we need to find critical point of given function  so first find first…

Q: Find the marginal profit function if cost and revenue are given by C(x) = 184 +0.3x and R(x) =…

A: Given: Cost function=Cx=184+0.3xRevenue function=Rx=4x-0.05x2 To find Marginal Profit function=P'(x)

Q: Find all local extrema for the function f(x,y) = - 6x - 9xy - 4y + 72x+54y+ 6.

A:

Q: Find an equation for the level surface of the function f (x, y) = ln (x² + y²+ z²) that passes…

A:

Q: 5 B) Find y" for the function y = x + Vx at p(1,3)

A: Given query is to find the double derivative of the expression at point p.

Q: 11) Find a function y-f (x) that satisfies both conditions: d - 6x -4x+5,f(-1) =3 dx %3D dy 2 3 ==+…

A:

Q: Find the level curve of the function at c=2 for g(x,y)=(x^3-y)

A: A scalar function g(x,y) is a rule that is used to associate a number or quantity with a particular…

Q: 1. Any function y = f(x) can be expressed as x = f(y) in standard mathematical methods for solving…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 5. Find the local extreme values of f(x, y) = x²y on the line a +y = 3.

A:

Q: Test the following function for relative extrema. S(x, y)-+y -2x +2y-2xy

A:

Q: 3. The temperature on a portion of the surface of a metal plate is given by T(x, y) = 4 x² + 2y3 +…

A:

Q: Find the value of x for which the marginal profit is zero. C (x) = 2x, R(x) = 6x – 1,000

A:

Q: C(x) = 5x; R(x): 8x – 0.001x? %3| Find all values of x for which the marginal profit is zero.

A: Given : Cost function, C(x)=5x Revenue function, R(x)=8x-0.001x2

Q: Locate and classify all the critical points of the function.(If an answer does not exist, enter…

A: We need to classify all the critical points of the given function.

Q: Find the marginal profit function if cost and revenue are given by C(x)= 185 +0.3x and R(x) = 3x…

A: Recall: Profit, P(x)=Revenue-Cost Marginal profit=P'(x) We have, R(x)=3x-0.02x2, C(x)=185+0.3x

Q: Find the absolute maximum and minimum values of f(x, y) = x^2 +xy + y^2 - 3x + 3y on the triangular…

A:

Q: 4 Use global extrema to find constants m and M such that m < dx < M. x3-2 1.5

A:

Q: Find the local extremum of the function • f(x,y) = xy² – 6x² – 3y²

A: Find the local extremum of the function f(x,y) = xy2 - 6x2 - 3y2