Let f(x) = V9 – x², 0sxs 3. (a) Find f-1. f-1x) = (for 0 s x < 3) How is it related to f? O t is the same function. O It is a different functions.

Q: Differentiate the function f(x) +5r DO NOT simplify or factor %3D (7-z)31 quotient 012 Your answer…

A: We have to find derivative

Q: Q3: Classify the following as even or odd functions: x3, cos x, x5 - 3x3 + 2x, 2x6 - 4x2 +

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Q: Find where the function is increasing. 2 y = x² - 3lnx, (x > 0)

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Q: Let f be the function given by f (x) = 5x³ - 3x - 7. What is the value of f' (-2) ? B D -114 17 50…

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Q: x2 Let f(x) be the function f(x) : 1. Find f(3) . - x + 3 f(3) = Please write your answer to 3…

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Q: f(x) = 1– 2x +xs

A: Given, function f(x)=1-2x+1/3x^5 By using the formula of differentiation d/dx(x^n)=nx^(n-1)

Q: If f(x.y)=x+6/y-10 Then fy= 6Vy

A: Given : fx, y=x4+6y-10 Differentiate the above function w.r.t 'y' fy=ddyx4+6y-10fy=ddyx4+ddy6y-ddy10

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

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Q: Write a function in any form that would match the graph shown below

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Q: Given the following function notations, find h(x) = f(x) + 2g(x). * f(x) = 7x – 5x + 2 and g(x) =…

A: Given the following functions                                      f(x)=7x3-5x+2  and  g(x)=3x2-1…

Q: d) Find the value of the constants ' a’ and b ’ that makes the function continuous at x= 3 ах + b ;…

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Q: Assame that fis a cme-to-one function. (2) If F(6) – 17, what is f(17)? (b) IfF (3) - 2, what is…

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Q: Refer to the function below and evaluate it where f (7). /(t) = -3 (-3 ( +-1))' + -1

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Q: Can you specify how you got the F=(y-x, x, y+x) on step 2?

A: The vector field F =(y-x, x , y+x) is given .

Q: Find f" if X+JJ = |

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Q: What happens to the function f (x) = x² when it becomes f'(x) = x² – 3? It moves 3 units to the…

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Q: Let f(z) = 2z? – 3–ze" +e**. Describe this function in detail.

A: A function is an equation that relates an input to an output. A function can be written as…

Q: Q1. Fill in the chart based on the graph of the given function f(x): 2 -4 -3 -2 -1 2 7 -1- 1 2 x -2…

A: We have given a graph of f(x) and we have to find the values of f(x), f'(x) and f''(x).

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Q: The function f graphed here consists of two straight line segments and two quarter circles. Find…

A: Consider the equation

Q: Differentiate the function. 2 f(s) : (2s7 + 5)8 f'(s) =

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Q: 2x + Vx. 4. Determine a function f (x) knowing that f"(x) = 16e¬

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Q: Let n be a positive integer. Define the function fn(z) by dzn (2²+2x+2)". Find the value of fn(-1 +…

A: Solution:Given: Let be a positive integer. the function is defined bywe have to find the value of

Q: J 3(x)is even function 0 صواب ihi O

A: We will use the fact that j_-n(x) =(-1)^n j_n(x) to decide whether j_3(x) is even or odd function.

Q: For the function f(x) = 3* find fx-2)

A: Given that: f(x)=3x.   NOTE: As per our answering guidelines, we can only answer 1 question or 3…

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A: A function is given by, fx=7sinx+5cosxtan-1x and the objective is to find the first derivative f'x…

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.