1.5 Approximate f x*dx using Simpson's rule Select one: a. -1.3190104 b. 10.3190104 c. 1.3190104 d. 13.190104

Q: 18. Using the graph of f shown and the given areas of several regions, evaluate: 3 5 (a) f f(x) dx 0…

A: In this question , we will find the area of the region .

Q: Let the graph below represent the function fx). a. For what values of x is f'(x) = 0? b. Describe…

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Q: Answer this question Use the five-point endpoint formula to approximate f'(0.735) for the table data…

A: Introduction: The formula for the five-point iteration of the function f(x)is given by,…

Q: 5. The graph of f is shown below. Use the indicated areas (physical areas), in units?, of the…

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Q: For what value of e is the function defined below continuous on (-∞0,00)? C= 9. f(x) = [cx + 1,…

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Q: Sketch the graph of f' given the graph of f below. YA W. 0

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Q: 1 65. Is the function given by G(x) = continuous бх + 8 at x = 2? Why or why not? 2.

A: To check the function G(x) = 1x2-6x+8 continuous at x = 2. G(x) = 1x2-6x+8

Q: Įsin x cos^(3/2) x dx * O -2/5 cos^(5/2) x + C O None of the choices -5/2 cos^(5/2) x + C O -2…

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Q: Use the F-table and the reciprocal property of F-curves, if necessary, to find the required…

A: Given information: degrees of freedom=(9, 12). alpha=0.005 to its left.

Q: The graph of f is shown in the picture. Ул f 1. 4 Use the graph of f to calculate f(t) dt. Give a…

A: Area above x-axis is positive and below x-axis is negative. So, We will separately calculate area…

Q: = Let the graph of a piecewise-defined function f, from x x = 6, be the figure below. Evaluate So…

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Q: 3) It is desired to determine the value of x that corresponds to f(x) = 0.2 for the following…

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Q: [1.5 Marks] B1: Find the value of k that makes function continuous at x = 5 S7x? – k 3x2 + 8 x 5

A: Given: f(x)=7x2-k         x≤53x2+8         x>5

Q: 01: Graph the function and find the average value on interval 10, 1] for the following function:…

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Q: Using the given data. Compute f"(1.8) at O(h2). X Y 1.0 2.9170 1.2 9.2005 1.4 20.5173 1.6 38.0675…

A: The difference table is  x y △ △2 △3 △4 1.0 2.9170             6.2835       1.2 9.2005…

Q: Below is the graph of a function y = f(x). Estimate the area underneath the graph over [-3,3] using…

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Q: 1. The contour diagram for a function f(x, y) is shown below. Use it to answer the following…

A: Given a contour diagram as follows:   Local Maxima in a contour diagram is the critical point…

Q: Values of one function, f(x) is given by the following table: 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3…

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Q: What is the smallest number that can be represented as the sum of four positive squares (not…

A: Consider the given statement. Since we need to find a number, which is the smallest number of sum of…

Q: If f(x.y)=sin (2x+y) then the derivative f, Is 2 cos (2x+y) a. b. cos (2x+y) c. 2 sin (2x+y) d. 2…

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Q: A differentiable function f is given by the table. Estimate f'(4.3): X f(x) 3.7 4.3 4.9 5.5 6.1 1.8…

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Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.