For the functions f (x)%3= x+3 13 find the composition f °g and simplify your answer as much as possibl and g (x) = x+3 using interval notation.

Q: If f(3) = 14, f 'is continuous, and | f (x) dx = 19, what is the value of f(7)? f(7) =

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Q: Find the value of k that makes the function continuous. Justify your answer. 2x – 1, x 2

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Q: The graphs above are approximate graphs of f and f' for f(x) = x°(x – 12). So f is decreasing (and…

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Q: How are the functions f and g given by f (x) = (1.05)ª and g (x) = eº.05z similar? How are they…

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Q: For what value(s) of x is f(x) = 4?

A: The first thing we must do for this case is observed the y coordinates for a given value of x…

Q: 2z et f(æ) = 4(). Which is equal to f(1)? %3D Select the correct answer below:

A: Given:fx=4132xf1=?

Q: 2. (a) Define what it means by for y = f(x). %3D

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Q: If f(5) = 13, f 'is continuous, and f '(x) dx = 17, what is the value of f(7)? %3D f(7) =

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Q: For the linear function y = f(x) = 2x + 9: df at x = - 5. dæ a. Find f'( – 5) b. Find a formula for…

A: Given function  f(x) = 2x +9

Q: Determine the range of the following functions. Express your answers using interval notation y =…

A: The graph of y=3x2, -2≤x≤2 is shown below:

Q: "( -y is 16. If f(x, y) is harmonic, show that f 12 + y2 x2 + also harmonic.

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Q: of Find - for the following function. and 5xy f(x.y) = e In (3y)

A: Given: Now,        ∂ ∂ xe5xyln3yTreat y as a constant=ln3y∂ ∂ xe5xy=e5xy∂ ∂ x5xy=ln3ye5xy· 5y

Q: Given the functions fz) = 3* and g(x) = sin x, determine the domain of the combined function y=…

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Q: Suppose, f'(x)=2cosx+ sec x, -7<x<7½, and it is known that f(T) =D4. Find the function f(x). IT

A: Integrating on both sides, we get

Q: (e) For wi at numbers x, - 2SXS 2n, does f(x) = 4? Where does f(x) = -4? f(X) = 4 for x =

A: The given function is: f(x) = 4sin(x) In the interval -2π≤x≤2π

Q: # Find a and b so that the function e-ax, x ≤ 0 f(x) = {₁² + 5x + b,x>0 is differentiable…

A: To find out the sum a+b.

Q: Determine the concavity and the x values where the points of inflection occur for :  y = x + 1/x -…

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Q: Differentiate the function In e* 8.) y = ex 7.) f(x) = e** – In :

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Q: For the function f(x.y.z)= 3+5xy"-2z*, find f,, f, and f. -口 fx = 5-口 fy=

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Q: If f(4) = 14, f' is continuous, and f'(x) dx = 16, what is the value of f(7)? %3D f(7) = %3D

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Q: f(x) = 9te3t dt

A: Given function is: fx=∫0x9te3tdt Integrating it: fx=∫0x9te3tdtfx=9∫0xte3tdtIntegrating by…

Q: Pls help on this question. ASAP

A: Given the function f(x) = -x2 + 5 We need to find slope of the secant of f(x) between x= -2 and x =…

Q: For the function f(x), defined graphically, state the value(s) of x where the function is not…

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Q: of af For the function f(x.y)= 7x-9y- 3, find and dy

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Q: The relationship between y and z is given by the formula: z=y4-1.Are both quantities functions of…

A: z=y^4 -1 . For one value of y, there is only one value of z. So z is a function of y.

Q: For what values of  r does the function satisfy the y =  e rxequation  y"  + 6 y'   + 8y  =0?

A: Given function y=erx To find value of r which satisfy the equation y"+6y'+8y=0 Solution:…

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

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Q: Consider the following. f(x) = 10/x; a = 7, b = 9 Use the algebraic method to evaluate f(x) dx. Give…

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Q: For the function f(x)=e5x+e−x defined on the interval(−∞,1], find all intervals where the function…

A: Find all the intervals for where the function is increasing and decreasing

Q: What is the correct expression for L[f"](s) when L[ƒ] = 5e-³², f(0) = 5 and f'(0) = 0?

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Q: Below is a graph of y = f(x): -1 -2 -3 1 2 3 45 67 8 Use this to compute 8 f(x)dx 321

A: Alternate way to find integration in the given interval is to find area under the curve in that…

Q: Next, differentiate the given function y = X 8x + 37 and write as a single fraction completely…

A: Derivative of function

Q: For what x-value is the function y = |x+5| not differentiable?

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Q: For the function whose graph is shown, list the following quantities in increasing order, from…

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Q: How do you find the domain and range for f(x,y) = ln(x+y)?

A: The given function:

Q: (1) For the function f(x) x +1 ,evaluate and simplify the following: x² + 3 a (c) f(x² + 3) (d) fE –…

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Q: Find f'(x).

A: The given function is,

Q: 42. For f(x) = cosxsinx, determine all of the values of x for which f(x) 0

A: Recall the trigonometric identity shown on the white board.

Q: Use Desmos to graph 1) y= Vx, 2) which is -f(x) 3) which is f(-x)

A: Hello! Thank you for the question. We will answer the first question since the exact one wasn't…

Q: Find f"(0) for the function f(x) = (x+1)e².

A: Given query is to find the Indicated derivative

Q: Calculate L6 for f(x) = x² + 7|x| over [–3,4]. (Use decimal notation. Give your answer to three…

A: Given f(x)=x2+7x over [-3,4]

Q: If f(1) = 13, f' is continuous, and F'(x) dx = 18, what is the value of f(6)?

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Q: For f(t)= 0, cost, 0≤t<π/2 ΙΣπ|2 use the definition to find L{f(t)}

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Q: For the function y = x² + 2x, the value of dy when x=3 and dx=0.1 is (А) 0.15 B - 0.8 -0.15 D 0.8

A: The given function y=x2+2x  ;  x=3 and dx=0.1

Q: 5. Use the product rule to find f'(1) where f(x) = e*(x³ + 1).

A:

Q: If f(1) = 11, f' is continuous, and f(3) = f '(x) dx = 18, what is the value of f(3)?

A: Given

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

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Q: If f(5) = 14, f' is continuous, and f '(x) dx 20, what is the value of f(7)? %3D f(7) =

A: Consider the given integral is, I=∫57f'(x)20=f(x)5720=f(7)-f(5)f(7)=20+f(5)f(7)=20+14f(7)=34

Q: If f(1) = 14, f'is continuous, and f '(x) dx = 19, what is the value of f(5)? %3D f(5) =

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.