(a) If e19z f (2) = z10 + 49 at how many points the function f (z)is discontinuous ?

Q: A soccer ball manufacturer is planning to expand its workforce. It estimates that the number of…

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Q: The solution of the equation d'y -y=k(k = a non zero constant) dx² which vanishes when x = 0 and…

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Q: Suppose m and b are constants. What is the linearization of the function f(x) = mx + b at any given…

A: Given function f(x)=mx+b where m and b is constant our aim To evaluate linearization of f(x) at…

Q: Find a point c satisfying the MVT for the given function and interval. 2 y = x3 [0,8]

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Q: Find the length of the curve e^x / 2 + e^-x /2 between x=0 and x=1

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Q: If f(x) = x – kx-1 has a relative maximum at x = -2, then the value of k is %3D

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Q: Suppose m and b are constants. What is the linearization of the function f(x) = mx +b at any given…

A: Givenf(x)=mx +b where m and b are constantsTo find linearization of f.

Q: If f'(x) = x - 2x-x +2, thenf has a relative minimum at x= -2 O0 0 O0

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Q: If y(t) is a function s e problem

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Q: Suppose a company wants to introduce a new machine that will produce a rate of annual savings (in…

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Q: 1) 3 Find the orthogonal trajectories of the family of curves y = 2x+k

A: Please see the explanation below

Q: Зх +1 5. Determine the critical point/s of the function f(x) %3D V3x2 + 2

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Q: Question 1 Find and classify the critical points of the function f(x, y) = y* – 2y² – x³ + 3x.

A: The given function is: f(x,y)=y4-2y2-x3+3x

Q: Given f(X)=−xe^x whats the root of the linearization of f(x) at a = 4.3?

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Q: Given this graph of y = f(t): -1 -2 -3 if A(x) | f(t) dt then: А(1) А (1) -

A: In this question we have to find A(1) and A'(1)

Q: Find the absolute maximum value of f(a) = x2- 2x +9 over the interval [0,5] The value C for the…

A: Use derivative and integration for the following question.

Q: 9.03 6. Vse the linear anproximation of the function (x)= V9-x at a = 0 to approximate the number

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Q: If f(x)=1/5x^5 - 3/4x^4 - 4/3x^3 +60, then what is the set of c value for which f has a relative…

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Q: Suppose a company wants to introduce a new machine that will produce a rate of annual savings​ (in…

A: Given that

Q: If f(x) = x -kx^-1 has a relative maximum at x = -2, then the value of k is

A: We have to find value of k.

Q: Suppose we have a function z = a > 0. f(x, y) = -x² – y² + a(x +y) where a is exogenous and a.…

A: The given equation is z=fx,y=−x2−y2+ax+y Where a is exogenous and a > 0.

Q: Find the Quadratic approximation of the function at the given value f(x) = 1n(x + 1)     near a = 0

A: Given  The function is f(x) = ln(x + 1)     near a = 0 .   Formula for Quadratic approximation :-…

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: 1. Suppose that f(x) = -ar/2 + bæ/2. Reparameterize this function in terms of the location of the…

A: given fx=-ax32+bx12 differentiate the function with respect to x f'x=-32ax32-1+12bx12-1…

Q: a) Find a function y whose graph passes through the point (1, -) and satisfies x²y' = y. b) Solve…

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Q: 1 Find the linearization of the function f(x) = 5x+4 atz-1.

A: The given function fx=15x+4 at x=-1

Q: Find the critical point of the function f(x, y) = – 7 2x + 5x2 - 8y – 5y? |

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Q: 11. If f(r) = rª and g(r) = r³, then f' (x) = 4x³ and gʻ(x) = 3x². The Chain Rule multiplies…

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Q: Find the minimum value(s) of the function f(x) = e* – 2x

A: NOTE: Refresh your page if you can't see any equations. . take derivative

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: 3. Find the fixed point(s) of f: [1, ∞)→→ [2, ∞) defined by f(x) = √²+x.

A: 3) To find: fixed points of f:[1,∞)→[2,∞) defined as f(x)=x2+x.

Q: The function f(x) = x^3 + bx^2 + c has a critical point at (-2, 6). Determine the value of b and c.

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

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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: Suppose m and b are constants. What is the linearization of the function f(x) = mx + b at any given…

A: The given function is: f(x)=mx+bSo,f'(x)=m

Q: II- Find the local maximum and minimum values and saddle points of the 3y? 3xy - 2 function f(x, y)…

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Q: 4. The function f(x) = x³ – 6x² + 9x – 4 has a relative maximum at (A) x = 0 (B) x = 1 (C) x = 2 (D)…

A: Let f(x) = x3 - 6x2 + 9x - 4 Suppose the function has critical point at x = c then If f'(x) > 0…

Q: Find f(x) by solving the initial-value problem. f'(x) = 3e*- 10x; f(0) = 5 %3D f(x) %3D

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Q: If f and g are functions of time, and at time t = 2, f equals 2 and is rising at a rate of 3 units…

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Q: If f(x) = x - ka 1 has a relative maximum at r = -2, then the value of k is

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Q: Suppose that f(x, y) = e e-x² - 2y² + x Then the maximum value of f is

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Q: S1 xe [0,1] f(x) 0 x¢ [0, 1]

A: The given piecewise function can also be represented as, fx=10≤x≤10otherwise Solve for the mean as,…

Q: d. If x=c is an inflection point for f, then f(c) must be a local maximum or local minimum for f.…

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Q: Find the absolute maximum and minimum values of f(x) = e * – 3x on [0,5].

A: f(x)=ex-3x Take derivative wrt to x f'(x)= ex-3

Q: Let y : R → R be the real-valued function defined on the real line, which is the solution of the…

A: The differential equation is given as Y’  = -xy + x , y(o) = 2 From the type of the problem we can…

Q: 9. An equation of the line normal to the graph of f(x)=, at (1,–1) is (a) 2x - y -3 -0 (b) 2x + y…

A: Explanation: Given that  f(x)=xx-2 at (1,-1)   Concept Used: To find the normal firstly find the…

Q: At what x-value(s) on the interval [-2, 3] does the graph of f (x) = x² + 2x – 1 satisfy the M.V.T.?

A: According to mean value theorem,Let f be continuous on [a,b] anddifferentiable on (a,b). Then…

Q: Find the critical point of the function f(x, y) - 4+ 7x – 5x² + 6y + 7y?

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Q: Find the extremum and saddle points of the function f(x; y) = x^3 -3xy + y^3 if any.

A: we use second order partial derivative test to find out minimum, maximum and saddle point