1. Find the intercepts of the function. f(x)-x* +2 а.

Q: Suppose (P. O) is the point on the graph of y =Vx closest to (1. 0) - What is the value of P+ 1-

A:

Q: Find the values of x for which  f(x)=(1/3)x3 +(5/2)x2 +6x-17 Has a tangent line that is parallel…

A: As the line is parallel, slope of them will be equal. Slope of f(x)=x33+5x22+6x-17 will be :…

Q: ) Find a function ƒ such that f'(x)= x³ +3 and such that the line y+5x O is tangent to the graph of…

A: Given, f'(x) = x3+3  and the line  y +5x =0 is tangent to the graph of f   Let's assume the function…

Q: This function has: 1) A y intercept at the point 2) x intercepts at the point(s)

A: Given,  fx=2x2+11x+123x2+10x+3 The x-intercept, y-intercept, and vertical asymptotes are to be…

Q: The domain of the function ,y) = In[x* +y² – 1) is:?

A:

Q: a) Find the points on the graph of f(x) = 2x- 3r²- 12x + 8 where the tangent is 3. horizontal.

A:

Q: For what values of x does the graph of f(x)=2x^3+15x^2−36x−5 have a horizontal tangent line?

A:

Q: The graph of the linear function f(x) passes through the point (x, y) = (1, m), where m is the slope…

A: Given:Graph of f(x) passes through the point (x, y) = (1, m), where m is the slope of the line.

Q: he average cost function is defined in economics as C¯(x)=C(x)x, where C is the cost of…

A: Given:  C(x)=0.01x3−0.4x2+13x+400,

Q: 4. Find the values of x for which the line tangent to the graph of f(x) = 3x2 – 4x + 8 has a tangent…

A:

Q: 22 If Sx) is an odd function, the second difference [SSAx) – 2(0) +-Ax)]/(Ax)? exactly equals f"(0)…

A: Please check step 2 for the solution.

Q: 2 Z= 22,

A: Given  z=2x12+x1x2+4x22+x1x3+x32+2

Q: If the critical point of the function f(x.y)-x- y- 2xy +6 is (0.0). test this point whether it is:

A: We use second order partial derivative to know about critical point behaviour

Q: B. Find and classify the extreme points of function f(x, y) x* +y-4xy-1.

A: Maxima minima of two variables function

Q: 4. Find the values of x for which the line tangent to the graph of f(x) = 4x2 – 8x + 4 has a tangent…

A:

Q: Find the slope of the tngent line to the graph of the given function at the given Value of X.…

A:

Q: Find all critical points of the function y= x^4 - 8x^2.

A:

Q: The slope of the line tangent to the graph of f(x) = 12 – 2x? at the point x = -9 4 9.

A: Solution

Q: Find the point on the graph of the function that is closest to the given point. f(x) = Vx - 6, (15,…

A:

Q: 4. Use the linearization of the function f(x)%= at an appropriate x=a value to approximate 4.002

A: Given: The function f(x)=1x

Q: find all critical points of the function. f (x) = x2 − 2x + 4

A:

Q: Use a formula to express y as a function of t if y = 6x + 4x and x = t- 1.

A:

Q: Show your step-by-step solution. Find all the relative extrema and saddle points, if any, of the…

A: To find out the relative extrema and saddle points.

Q: Find k such that the line is tangent to the graph of the function.…

A: To Determine: Find k such that the line is tangent to the graph of the function.…

Q: 1. Come up with the equation of any function f (x, y) satisfying fx = x + y and fy = x + 3y³

A: The objective is to find the function f(x,y) satisfying fx=x+y and fy=x+3y3 Now take, fx=x+y Now…

Q: If (0,8) is the y-intercept of f(x) and the slope of f at x is m(x)= 4x/(x^2+1)^3, then what is…

A:

Q: Find the slope of the secant line between x=−1 and x=2 on the graph of the function f(x)=−3x3+4x2+2.

A:

Q: 5. Determine the area of the largest triangle that can be formed in the first quadrant by the…

A: The area is found by making a function of area into a variable and finding the values at which…

Q: Let f(x) = x2. Give an equation of the line that intersects the graph of f(x) at x = 0 and x = V2.

A: Given data:     The given function is: f(x)=x2. The first value of x is: x1=0. The second value of x…

Q: Find the function whose tangent line has the slope 3x² + 1 for each value of x and whose graph…

A: We have to find the function whose tangent line has the slope 3x2+1 for each value of x and whose…

Q: Consider the function f(x,y) - x-44x- 4y and determine if, at the point (4,0) if the function is a…

A: Note: Since you asked multiple questions I solved one. For solution of other problem please post the…

Q: Find the extreme values of the function f(x; y) = x2 + y2 + xy on the curve x2 + 2y2 = 1.

A:

Q: Suppose g(-2)=3 and g'(-2)=-4. Let f(x) = x3 + g(x). Find the equation of the line tangent to y =…

A: Given,     f(x)=x3+g(x)

Q: 12. If f(x) is a non-constant linear fucntion and g(x) is a quadratic function, then what type of…

A: f(x) is linear function so f(x) can be expressed as  f(x)=ax+b, where a≠0 and b are constants. g(x)…

Q: Find the extreme values of the function x²y with respect to x + y = 5

A:

Q: Find the function whose tangent line has the slope 3x² + 1 for each value of x and whose graph…

A:

Q: The interval in which the given function is decreasing is at y = x3 – x2 – 5x – 4

A:

Q: If f (x) - 2x - kex has a relative maximum at x = -2, then the value of his

A: Given  f(x)=2x-k.exNote: As there is no h in the equation it is assumed that we need to find…

Q: Find the point on the graph of f(x) = Vx that is closest to the point (5, 0). (x, y) =

A: Use distance between point concept and then differentiate

Q: Find and classify the extreme point of the function f(x, y) 3y2x + x³ - 3y3 - 3x? + 2.

A:

Q: What is f (2) if the linearization of f (x) at a = 2 is L(x) = 2x + 4?

A:

Q: From the function f(x)= x3 -6x2 +9x -3 Determines monotony, maximum and minimum points, inflection…

A: From the function fx=x3-6x2+9x-3,To determine the monotony, maximum and minimum points, inflection…

Q: Find the critical points of the function f(x)=x2−4x+3x−2.

A:

Q: B. Find and classify the extreme points of function f(x, y) = x + y - 4xy-1.

A:

Q: 4. a) Find the value of x where the function f(x) = (x – 4)3 is not differentiable.

A: According to power rule of differentiation , .

Q: Find the following characteristics about the linear function 2 f(x) = ²/x + 18 x-intercept:…

A:

Q: Find the slope of the line tangent to the graph of the function at the given value of x. y = x4 + 2x…

A: Given : y = x4+2x3+2x-2

Q: determine all critical points for the function: y = x^3 + 9x^2 - 48x + 10

A:

Q: 8. The y-intercept is -4. The function has no x--00, f(x) → -0∞, x-intercepts. As x→ 0, f(x) → -∞…

A: 8.  The y-intercept is -4.   The function has no x-intercepts.  As x→∞, f(x)→-∞ and as x→-∞, f(x)→-∞

Q: The population of the United States can be modeled by the function p(x) = 80.21e131x where x is the…

A: We have to graph P(x) and predict population in given years.   According to our guidelines we can…