Find the domain for each function and express using interval notation. I + xS^ = (x)f b. x2-25 V3x+2 6-x

Q: Differentiate the functions.

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Q: Find the slope of the secant line to the function f(x)=x3 when x=1 and x=2.

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Q: Differentiate f (x) = x sech x².

A: ddxsech x = (-sech(x) tanh(x)) ddx(u(x)v(x))= u'(x)v(x) + u(x)v'(x). ( Cain rule of derivative)

Q: Determine where the function is concave upward and where it is concave downward. (In interval…

A: We find the point of inflections by solving f"(x)=0

Q: Differentiate the function using quotient rule. 3x y = 2х + x2

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Q: Express the set x 0 using interval notation.

A: topic - inequality

Q: Find where the function f(x) = 3x4 − 4x3 − 12x2 + 5 is increasing and where it is decreasing.…

A: increasing and decreasing intervals of fucntion  fx=3x4 − 4x3 − 12x2 + 5

Q: Determine the intervals where the function is positive and negative. Submit your solution in…

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Q: Use the definition of the derivative f 19. f(x)= 6x² – x 20. -

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: FX) = Secx

A: Given function to be differentiated is : F( X ) = sec X2 In order to differentiate above function,…

Q: 9. y = 3x2 – 2vx at (1, -9)

A: To find slope.

Q: Use interval notation to determine f(x)

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

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answers…

A: Givenfx=3x4−18x3+x−7

Q: The sum of two numbers is 50. Express the product of the numbers, P, as a function of one of the…

A: Let x and y be the two numbers. Given that the sum of two numbers is 50. That is, x+y=50⇒y=50-x   →1…

Q: Write the length L of the rectangle as a function of y.

A: The length L is bounded by two graphs x=2  &  x=2y3

Q: Express the area and perimeter of an equilateral triangle as a function of the triangle’s side…

A: Given Side’s length of equilateral triangle is x units.

Q: Differentiate the function y=1lnx.

A: Given function is y=1·lnx We know that any number multiply with 1 gives same number. So, function is…

Q: Differentiate the function with respect to the independent variable. f(x)=-7x+5x³-6 f(x) =

A: Given, f(x)=-7x4+5x3-6

Q: 5. y = 8x³ - 1 3 4 x 2 - 1 -

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Q: -4 -6 -2 4 -6

A: To find the interval where the function is positive first we  choose  some points in the given…

Q: Find where the function f(x) = 3x4 − 4x3 − 12x2 + 5 is increasing and where it is decreasing. show…

A: Topic = Functions

Q: =D2

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Q: sketch the graphof the function.y = 2−x2

A: Graph of the function can be drawn with the help of the points that lie on the curve. Substitution…

Q: Differentiate the function.

A: The function given is, y=xx-1 Differentiate the function,  Apply the product rule ,…

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x2 - 9, (0,…

A: I use second derivative test to find out where distance is minimum

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answers…

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Q: 3x y = 2х + x2

A: The given function is y=3x2x+x2 quotient rule: fg'=f'·g-g'·fg2

Q: Find the location of the absolute maximum and absolute minimum of the function on the interval [ -…

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Q: Find all points of intersection between the graphs of the functions. 5 =x+y 7 =x +y

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Q: a technician earns a salary of 37200 plus $40 for each hour of overtime worked. Write a function to…

A: Let y be the total salary of the technician and x be the overtime worked hours.Then amount he will…

Q: Based on the table that I did. Which quantity would be my independent variable? And which quantity…

A: Given, Number of mechanical pencils used per month 4 3 2 5 6 2 3 2 2 The total cost of…

Q: Express {x | −4 < x ≤ 8} in interval notation.

A: given x | −4 &lt; x ≤ 8

Q: Find a linear function that approximate f(x) : 27. = x 3 near x =

A: To Determine: find a linear function that approximate f(x). Given: we have function fx=x23 near…

Q: A paper airplane was thrown from the top of a 9 meter tall house and falls at a rate of 3 meters…

A: Given  The height of the paper airplane above the ground can be found using  the function  y  =…

Q: Differentiate the function y=sec(3x)+5-2

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Q: Differentiate: f(x)= cscx-1/secx

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Q: Find the derivative. 4. y = 3x 6x - 7

A: Given  y=3x4+6x3+7 To take derivative , we apply power rule for each term  ddxan=nan-1 Derivative of…

Q: for the Function Fc)-, find %3D

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Q: Find the points on the graph of the function that are closest to the given point. f(x) = x2 - 8, (0,…

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Q: Determine where the function is concave upward and where it is concave downward. (Enter your answers…

A: Given function,  f(x)= 3x4 − 18x3 + x − 5 The function f(x) is concave upward on an interval I if…

Q: Replace the variable t with -x in the function. + 10 q(-x) 2 9,

A: NOTE: Refresh your page if you can't see any equations. . the given function is

Q: Graph the function -2x^2-4 on [0,3] and find it's average sun over the interval    label answers…

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Q: 2(メy)=16-x-, R: %3D and y=4X- 2

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Q: 14x

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Q: Find the domain of the function. (Enter your answer using interval notation.) g(x) = /x+ 5 --

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Q: Write the domain and range of each function using interval notation. 3+ 2.5 -1.5 0.5 0.5 1.5 2.5 3.5…

A: We can find the domain and range as below.

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answers…

A: GIVEN

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x², (0,8)…

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