3. sin 2m 5. 17 20 M(x) KER 27 (2x+ 1)m 2m sin 10 * 17 xS 13 11(2x 20 37 33 7. 13

Q: bugh the point (1, 9/2). The function g(x) h es through the point (a, a + 1).

A: In this question, the concept of the exponential function is applied. Exponential Function Exponents…

Q: Suppose that |?′(30)|=1.8|f′(30)|=1.8 and ?(30)=52f(30)=52. Fill in the blanks (including units…

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Q: The function p(t)- 20 sin 2xt + 100 models a person's blood pressure while resting, where p(t)…

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Q: The wind speed W in meters per second at a distanc x kilometers from the center of a hurricane is…

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Q: The slope of the line tangent to the graph of f(x) = 12 – 2x? at the point x = -9 4 9.

A: Solution

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: The windchill index announced during the winter by the weather bureau measures how cold it "feels"…

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Q: f(x) = (2x − 1) (x³ — 2) ²

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Q: 6. Suppose we don't know the formula for the function y = f(x), but we know that f(2)=-3 and that x²…

A: Given: f'(x) =  x2 / ( √1+x2 ) f(2) = -3

Q: If a = 1 − v^2 and both x and v are zero when t = 0, show that x = −1/2ln(1-v^2) and hence find v^2…

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Q: The slope of the line tangent to the graph of f(x) = 18 – 5x² at the point x = -8 O 20 O 10 O 160 O…

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Q: A series of locks manages the water height along a water source used to produce energy. As the locks…

A: The given equation is, f(x)=-13cosπx60-5π12+24. To find the minimum height, and maximum height at…

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.