The definite integral f(r) dr can be interpreted as

Q: Evaluate the definite integral

A:

Q: Give me an example of Properties of Definite Integral.

A: We have to give an example of definite integral using property

Q: Differentiate the following function In z I y = 0 - 1/1/(x-²) I 1-ln z O O 1-r ln r r³ 0 1 I

A:

Q: 3. Check for monotonicity for the following functions. TR = -20² + 14Q %3D TC = 20 + 10 100 AC = Q +…

A:

Q: Suppose the temperature of tea, R, changes with time t (minutes after boiling) as R = 67 + 131 *…

A: Suppose the temperature of tea, R, changes with time t (minutes after boiling) as R = 67 + 131 *…

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

A:

Q: given the function h(x)=2/3-x, find f(1/2)

A: Note f=h. Given: h(x) = 2/3-x. So,       h(1/2)=2/3-(1/2)                =1/6

Q: How many real roots does the function f(x) = x 9 - 20x + 1 have? Find their approximate locations.

A: The best way to locate the number and nature of real roots will be to plot the equation.

Q: For what value(s) of x is f(x) = 3?

A: given :  f ( x ) = 3  find value(s) of x = ?

Q: By carefully showing all your steps, differentiate the function f(x) = (tan−¹(x + √√x)) 4

A:

Q: Differentiate the following function with respect to x, fully simplifying the answer: y = 3sin(2x)/…

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Q: How does the method of substitution work for definite integrals? Give examples.

A: To elaborate the use of substitution for computing the integrals with example.

Q: Suppose a car drives north on I-95 starting from Miami. Let f(t) denote thenumber of miles from…

A: f(5) − f(3)/5 − 3 represent displacemennt/time taken from 3hours to 5 hours i.e. 2 hours

Q: [22] Express the function as a product by factoring the right-hand side: f(x)= x' +x² – 4.x - 4.

A: We have to express the given function as a product by factoring the right hand side: fx=x3+x2-4x-4…

Q: ex - 32 √x +x 22

A: