If f(x) is a linear function, f( – 4) = 5, and f(5) = 1, find an equation for f(x). f(x) = (For best results, express your answer with fractions, not decima

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: Suppose that f is a linear function with slope -3.4 and that f (3) = 4. What value of x gives f(x) =…

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Q: 9x3 + 7x + 1 y = 2х — 1

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

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Q: Given that f(3) -2 and f'(3) = 4, estimate f(3.5) using a linear approximation.

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Q: Find the derivative of  C(x)=(2x3)/(3x4+2)

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Q: Find the derivative of the function y=1x+2x2+3x3.

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Q: The function f(x) = 2x3 – 39x? + 240x + 9 has derivative f'(x) = 6x? – 78x + 240. %3D f(x) has one…

A: Given data:   The expression for the given function is f(x)=2x3-39x2+240x+9. The expression for the…

Q: Find the derivative of the function. y = (2x – 5)*(8x² – 5)-3

A: Derivative denotes rate of change. According to product rule, ddxf(x)g(x)=ddxf(x)g(x)+ddxg(x)f(x)

Q: Suppose that f is a linear function with slope -4 and that f(1) = 7. Find the equation for f. (Use x…

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Q: f the total revenue function for a blender is R(x) = 76x – 0.01x² where x is the number of units…

A: Given that

Q: Does the given equation define an implicit function around the point (y=3, x=1) and why?

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Q: Find the third derivative of the function f(x)=2x5-7x4+4x2-8x+11.

A: on doing diffrentiation with respect to x we will get

Q: Find the derivative of the function. y = 3√(6x2 + 1)

A: y=36x2+1

Q: Find the first and second derivatives of y = 2(3x³ + 5x² – 2)13

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Q: The linear functions m(x) and n(x) are perpendicular to each other and intersect on the x-axis. If…

A: Two lines with slope m1 and m2 are perpendicular to each other if m1m2=-1 Given: m(x)=4x+48 Let the…

Q: Find the zero of the linear function  f(x)= x+4

A: fx=x+4

Q: For the function f (x) = 2x° – 3x2 – 12x, use the First Derivative Test to find the location of any…

A: The given function is- fx=2x3-3x2-12x To find the critical points of a function- dfdx=0…

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 first derivative of f(x) = e5x*-6x will be A. (6-20x)e**-6x B. (20x 6) e5x*-6x C. (6+ 20x)…

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Q: iven the function y=2x³-4x²+5,

A: Given, the function               y=2x3-4x2+5

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: If the total revenue function for a blender is R(x) = 84x − 0.01x2 where x is the number of units…

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Q: Find the derivative.  f(x)=5x^2e^3x options  - 5xe^3x(2x+3) - 10xe^3x(2x+3) - 10e^3x(3x+3) -…

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Q: Find the function f whose graph has slope 2x2 + 4 df dx and which passes through the point (1, 1).

A: Given: The slope of the function is, dfdx=2x2+4x

Q: Find the linearization of the function at x = 1.* f (x) 2x - 3x + 7 %3D

A: From the given problem:   fx=2x3-3x+7 ; x=1   As we know that the expression for linear…

Q: Find the third derivative of the function f(x)=2x^(5)-6x^(4)+7x^2-9x+20

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Q: Find the slope of the curve given by f(x)=x3e4x at the point (-1,-e-4)

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Q: Find the local minimum and local maximum values of the function g(x) = 6x2− 4x3 using both the First…

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Q: Find the point on the graph of the line f(x)=3x+4 that is closest to the point (6,3) x= y=

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Q: If f(x)=3x^2-2, and g(x)=f−1(x), what is the slope of the curve g(x)=f−1(x) at the point (10, 2)

A: Given f(x) =3x²-2  And g(x)=1-f(x) =1-(3x²-2) =1-3x²+2 g(x)=-3x²+3 For slope of curve g(x)…

Q: Find the value of x for which the derivative is zero. y=x3+4x2-3x-5

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Q: Find the second derivative of the polynomial function y=3x4−2x3+4x2−5x+1.

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Q: The higher derivative of y = 5x³ – 2x is O 15x2 – 2 О 30 O 30x

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Q: If fx) =vx+2, and g(x) =f(x), find the slope of the curve g(x) = f -1 (x) at the point (2, 2).

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Q: Find the slope of the curve f(x)= x2 at the point P(2,4)

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Q: As a result of urbanization, the temperatures in Paris have increased. In 1891 the average daily…

A: Average temperature is calculated by the total sum of temperatures divided by number of observations

Q: Find the value of x for which the derivative is zero of Y =x +4x - 3x – 5

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Q: Choose two choices whose equation shows a nonlinear function. A y = 3x - 7 By = 2x + 1 D y = x + 3 E…

A: We have to choose two choices whose equation shows a non-linear function from the given options: A…

Q: Find the equation of the function f whoseg 3 f'(x) = (0, 4) %3D -- 1 + e

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Q: Find the first and second derivatives of the given function. f(x) = 5x3 − 6x2 + 6

A: The given function is f(x) = 5x3 − 6x2 + 6. The derivative of xn is given by: ddxxn=nxn-1 and…

Q: y is a linear function of x with slope −4. If y is −3 when x is −1, what is y when x is 8? You do…

A: Linear Function  Y= mX+c  m= slope of function  c = Y intercept

Q: 2. Estimate the slope of ffx) at the point: a) where x = 3 b) where x = 2 f(x) 4 2 1 2 3 4 5 6 3. 1.

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Q: If f(x)=x* and g(x)= x³, then f'(x) = 4x³ and g'(x) = 3x². The Chain Rule multiplies derivatives to…

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Q: The function f(x) = 2x³ – 27x² + 108x + 9 has derivative f'(x) = 6x² – 54x + 108. f(x) has one local…

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Q: If f(x)=5x2, and g(x)=f−1(x), what is the slope of the curve g(x)=f−1(x)g(x)=f−1(x) at the point (5,…

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.