The function f (x) is defined below. What is the end behavior of f (x): f (x) = 5x° + 180x + 160 + 60x?

Q: Find a possible equation for the linear function g(x, y) shown in the graph below

A: Solution -  g(x,y) is a linear function. let g(x,y) = ax+by+c from graph of g(x,y). The graph…

Q: Given 3y = x^3 + 3x^2 - 9x + 3, Find the relative extrema of f by applying the second-derivative…

A: Given ,  3y=x3+3x2-9x+3. Let y= f(x) Above equation can be written as     y=x33+x2-3x+1     or…

Q: Find the local extreme values of the function: f(x,y)=xy-x^2-y^2-3x-3y+12.

A: It is given that, fx,y=xy-x2-y2-3x-3y+12We have to find the local extreme values.

Q: I) Consider the function: y = + C,e2x + C,e-5x + Czxe-5x

A:

Q: Find the inflection point of the curve f(x)=2x³ – 18x²+ 30x. О а.3 O b. 3/2 С. 9 O d. None

A: We have to find out point of inflection

Q: For the function y = -2+5 sin (x-2), what is the maximum value?

A: Given,Function y =-2+5sinπ12(x-2)

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

A:

Q: The function y=f(x) satisfies the conditions y(0) = 1 and y'=xy³/4. What is y(1)?

A:

Q: Find d2y/dx2 as a function of t if x = t - t2 and y = t - t3

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Q: Find the linearization of the function f(x) = x^8 at x = 1

A:

Q: Find the linearization of the function at a . f(x) = x 4 + 3 x2    , a = -1

A: We know that ,The linearization of the function at v=ais given by fa+f'ax-a

Q: The Range of y = [2x + 1] is Z, F O

A:

Q: 2 Z= 22,

A: Given  z=2x12+x1x2+4x22+x1x3+x32+2

Q: The range of function y=(x² – 1) is

A: on solving this we get the

Q: The function f(x, y) = -3y + 2√√ry is a

A:

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: Find the equation of the secant line on the curve f(x) = -x²+2 passing through the points xo = -1…

A:

Q: Q3): Does the function r(x, y) = xs -xay² is harmonic?

A: As we know that; the function fx,y is harmonic. If ∂2f∂x2+∂2f∂y2=0 or fxx+fyy=0 Given:…

Q: A3) Find the equation of the line tangent to the graph of f(x) = 4x° + 4x² – 3x – 3 at x = -4.

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Q: (B) Use the second derivative test to find the maxima and minima for f(2) = 22 - 15x + 1. 3 %3D

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Q: Find the linearization L) of the function at a. f(x) = {, 8 = 125

A:

Q: Find all possible functions with the given derivatives. a. y'=7x^6 b. y'= 7x^6 c. y'=8x^7-7x^6-7

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

A:

Q: Find the linearization L(x)  of the function f(x)=x^3/4  at x=16

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Q: The point of the given function at (2, -7) is found to be y = x3 – 2x2 – 4x + 1

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Q: The function f(x,y) = 3x2 - 2xy + y2 + 8y has one stationary point. What is the location and…

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Q: Consider the function f(x) = - 2x + 24x2 42x +4. %3D - Find the critical points.

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Q: Find the domain of the function:f(t) =∛(t + 4)

A: Given function is: ft=t+43 We have to find the domain of f(t).

Q: The range of the finction f (x, y) = lIn(-x²- " + 1) is (0: +00)

A:

Q: Consider the function f(x)=x^2+2x+2  what is the equation of the line of symmetry of f?

A: To find equation of line of symmetry of function fx=x2+2x+2

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

A:

Q: The profit function of a company is P(x) = x² – 400x + 40000, then the break-even poi is %3D

A: The break-even point point occurs when the total revenue is equal to the cost. At that point, the…

Q: f(x)=-2x^2+11x+16/e^x (i) Make the standard analysis of the function f(x), that is: (ii) Use (i)…

A: the given function is f(x)=-2x2+11x+16ex the domain of the function is -∞,∞ the function has no…

Q: if i have the function how would i use FTC(1) and the chain rule to find g'(x)

A:

Q: Find the domain of the function. s - 1 f(s) = s - 5

A: Given : fs = s-1s-5

Q: The function f(x) = x3+Ax+B has a stationary point at (-2,3). Find the values of A and B .

A:

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

A:

Q: f(x) = 4x^2-12x+7   how is this function concave wherever it is defined?

A: Given:

Q: Use the graph of y = f(x) to graph the function g(x) = 2f(x- 1) + 1. y- f(x) AY

A:

Q: Please

A: The given function is

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

A:

Q: Consider the function y= g(I)= -z² + 3c + 6,

A: The derivative of the function f(x) with respect to x is given as .

Q: The function y = x³ + ax? + bx + c has a stationary point at (-3,12) and it passes through the point…

A: Since, the function y=x3+ax2+bx+c passes through the point (0,2)⇒2=0+0+0+c⇒c=2-(i)Also, we have been…

Q: 2. f(x) = 6x - 1 slope: of f = of g y-intercept: of f= of g=

A:

Q: The function y is discontinuous at x equals? x+2

A: Given function is: y=x-4x+2

Q: For the function y = (f ¹)'(-4)= f(x) = x² + 4x - 3, x ≥ - 2, find df-1 dy y=-4

A: Introduction: For a function y=fx, its inverse function is represented as x=f-1y. It is not…

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

A:

Q: Find the absolute maximum value of the function f(x) =-z² – 4x – 2 on the interval [3, 3 ]. a) О-2…

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Q: For the following function, find appropriate function g(x) of fixed point method: f (x) = xe* – 1 -

A: g(x)=

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: