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Q: Time and Temperature Data for Water Data Point Time (min) Temp (°C) Data Point Time (min) Temp (°C)…

A: 1) The data in the table below to fill in the graph

Q: Explain about F and squaring the t.

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Q: The straight line beams between the radar dish and the drone registers a distance of 32 km. What is…

A: Given: the triangle ABC in which there is 90 degree angle at A      Use: sin(θ)=…

Q: Use the graph to estimate the velocity of the airplane at t= 0, 2, 4, 6, and 8 hours. Put your…

A: The given graph of a position function is, The slope of the position versus time graph is the value…

Q: Write the equation for the graph of y=x^3 that is shifted 5 units to the left, reflected across the…

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Q: A. y = 2x B. y =x C. y = x

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: It is time to clean the water tank. The process requires draining a 75-gallon tank. To siphon the…

A: The objective of this question is to understand the relationship between the elapsed time and the…

Q: Identify, sketch and name the graph of the equation in R³. Z = 1 – lny

A: Solution:Z = 1-ln(y)ln(y) = 1-Zy = e1-zy - e1-z = 0f(x,y,z) = y - e1-z = 0Traces xy plane (Z= 0) y -…

Q: Find the midpoint of the line segment from (4,-5) to (2,-1) Midpoint %3D

A: We have to find the midpoint of the line segment from (4,-5) to (2,-1) Formula Used -  The midpoint…

Q: The radius r of a circle is increasing at a rate of 5 inches per minute. Find the rate of change of…

A: Solution

Q: What is the slope of segment AB? A B

A: So point A is (3,4) Point B (-5,1) Slope is given by y2-y1/x2-x1

Q: Plot the following functions y? = 6 – a

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Q: A circle of pollution is spreading from a broken underwater waste disposal pipe, with the radius…

A: For a circle of radius r its area is given by the formula πr2. For a function say f(x) of a variable…

Q: filustration 12.20. A.straight line trend fitted to pig iron pro- duction for the year 1930 was…

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Q: y = -3x – 2 m =

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Q: the area of a circle is decreasing at a rate of 3 meters-squared per second. find the rate of change…

A: Area of circle is πr^2. Differentiate area with respect to time and evaluate rate of change of…

Q: Use H for the Heaviside function

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Q: Find an equation to model the vertical motion of the tip of a second hand on a clock, if the second…

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Q: 6. parallel to y%3D through (-3, 6)

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Q: A Ferris wheel at Charlotte's Amusement Park has a diameter of 18 m and travels at a rate of 6…

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Q: Find the distance between the following two points: (0, -2) and (-5, -1) O 5 O 21 O 26 O 11

A: Distance formula: Distance between two points P(x1,y1) and Q(x2,y2) is given by: d(P, Q) = √ (x2 −…

Q: A water wheel has a broken bucket like in the diagram below. The height of the broken bucket, in…

A: Note: According to the guidelines we are allowed to solve three subparts at a time. Please post rest…

Q: NAME 12. Find the slope and the y-intercept of y =-x-5 a) Slope: y-intercept: (0,5 4: y-intercept…

A: Calculation:The given linear function is y = 1/2 (x) – 5.The y intercept of the above function can…

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.