A.INSTRUCTION: Evaluate the following Functions (2): fx)= 2x - 6x + 5 /(- 6): f(x) = V3x – 5 S(4): /()= 1. 2. 3.

Q: Differentiate the following function. y= Vx+ 1 (4x + 1)2

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Q: Find b, if the function f(t) = t?.

A: This is a Fourier analysis question. Lets solve it.

Q: Does the function y = e-3t satisfy the following differe y" + y' + 12y = 0

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

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Q: nd the points where the function f(x) = (x² – 1)³ is decreasing, -

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Q: find all possible functions with the givenderivative. y' = 1 - 1/x2

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Q: Plot the function f(1) for -10 <xs 10. %3D 1+e5.5 – 1.5x 20

A: Graph of any function can be plotted by joining the points from which the function passes. So to…

Q: -Which of the functions below has a range of y<-2?

A: Idea: Construct the line y = -2. If the graph remains below the line y = -2 then the function have…

Q: If f is a function defined by the equation y = f1x2, then x iscalled the variable, and y is…

A: Given: If f is a function defined by the equation y = f(x), then x is called the _________ variable,…

Q: Find the equation of the line that is tanget to f(x)= 1/x at the point (2,1/2).

A: We need to find the equation of the line that is tangent to f(x) = 1/x at the point (2,1/2).

Q: Suppose that f is a linear function with slope -3.2 and that f (3) = 6. What value of x gives f(x) =…

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Q: Find f'(2) if y = f(x) is the nonnegative function defined for x, y > 0 by the equation x" = y?.

A: To find f’ (2), if y = f (x).

Q: Suppose that f is a linear function with slope -3.6 and that f (2) = 8. What value of x gives f(x) =…

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Q: Differentiate f (x)  = e(1+x)3

A: Given: f(x) = e(1+x)3 To find: The derivative of the given function.

Q: Find f" (1) when f(x) = x² − 3x³ + 2x² +10. Round your answer to three decimal places, if necessary.

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Q: Let f (x) = 5* – 7x - , for what value of root that the relative error would be equal or less than…

A: Given that f(x)=5x-7x2 The newton method formula is, xn+1=xn-f(xn)f'(xn) Take the derivative for f,…

Q: Find the net change in the value of the function between the given inputs. f(x) = 3x - 2; from 1 to…

A: f(x)=3x-2now we have to find the net change in the value of function from 1 to…

Q: Suppose that f is a linear function with slope 4 and that f(2) =  4.   Find the equation for f and…

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Q: 1. f() 3 2х + 3

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Q: If 10x³y* + e*Y = 5 defines y implicitly as a function of x, find y.

A: Using derivatives of implicit function.

Q: Suppose that f is a linear function with slope 4 and that f(4) = 4. Find the equation for f. (Use x…

A: Given : Suppose that f is a linear function with slope 4 and that f(4) = 4.

Q: find all possible functions with the givenderivative. y' = 2x - 1

A: Given y'=2x-1 that is  dydx=2x-1 Integrating with respect to x, ⇒y=x2-x+C Where C is the constant of…

Q: y = V4x3 –6

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Q: Find the net change in the value of the function between the given inputs. f(x) = 4 - 5x; from 3 to…

A: To find net change in the value of function: f(x)=4-5x;from 3 to 5. Solution:…

Q: 1. Plot the function f(t): (x+5) for -35 x 5. 4+3x2

A: Plotting graph by finding slope.

Q: Match f(x) with its graph without using a calculator. -… (x)

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Q: Apply the definition to differentiate the following functions: 1- y = ₁

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Q: Differentiate the function. f(t) = 7 - 글

A: We have to differentiate of the  function

Q: Differentiate the following function. f(x) = -3e-3x d -(-3e-³x) = dx

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Q: (d) Differentiate the implicit function below. y 3 + y = 2x2 +4

A: dy3+ydx=d2x2+4dx dy3dx+dydx≡d(2x2)dx+d(4)dx 3y2dydx+dydx=4x.

Q: 9. If y varies directly as x, and y is 42 when x is 12 A) Write a function that represents this…

A: NOTE: Refresh your page if you can't see any equations. . to remove the proportionality sign we…

Q: Consider the function f(x) = z + 6

A: Givenf(x)=1x+6

Q: Find the relative extrema for f(x) = x* + 32a²

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Q: What is the equation of the function that is obtained from f (x) = | x | by reflecting about the x…

A: Given information:The given function is

Q: Plot the following functions 1. y = - V2x +1 2. y = (x - 1)3 + 2 3. y =-1 2x

A: As per our guideline we are allowed to do 1 question or 3 subparts at a time. Please post other…

Q: 14х y = Зх-6

A: Given:   To determine: excluded x value for the function.

Q: 1. Make two separate plots of the function f(x)=0.6x-5x +9x+2; one plot for -4 sxS4, and one for…

A: The given function is fx=0.6x5-5x3+9x+2.

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

A: we will find slope of secant line by two point slope formula

Q: Produce the linear approximation of the given function at the specified value. f(x) = sqrt(x); x =…

A: fx=x,  x=2 Differentiating with respect to x, we get f'x=12x Now at x=2, f2=2  &amp;  f'2=122

Q: Q1/ Find the local extreme value of the function F(x.y)=4xy – x* – y*

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Q: Suppose that f is a linear function with slope 4 and that f(2) = 7. Find the equation for f with…

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Q: 1. What linear function,  y has f(0) = 8 and  f(7) = 14?

A: Linear function

Q: DiFferentiate Hthe function Inx Fx)=InZ+3, X70

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Q: f(x) = 6x5 – 4x3 + 10

A: To classify the stationary points of the function: f(x)=6x5-4x3+10

Q: Find an equation for the linear function which has f (0.5) = 0.8 and f (0.8) = -0.3. f (x) =

A: We have to find the linear function where, f0.5=0.8 and f0.8=-0.3 We know linear function form,…

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

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Q: Find the net change in the value of the function between the given inputs. f(x) = 4-5x; from 3 to 5

A: We want to calculate net change in given function from 3 to 5.

Q: Suppose that f is a linear function with slope 2.4 and that f(5) = -1. What value of x gives f(x) =…

A: Consider a linear function f with slope 2.4 and f(5)=-1 .

Q: #2: Differentiate the following functions. y= 3V3x

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Consider the function f(x, y) = 4x² – 8y² subject to the condition x + y = 25.

A: