Find the absolute maximum and absolute minimum values of f on the given interval. f(t) = t −√√√t, [−1,6] - absolute minimum value absolute maximum value

Q: R 12) Use a change of variables to evaluate the double integral f₂ 12xy dA over the square-shaped…

A: Step 1:Step 2:Step 3: Step 4:

Q: Generic Corp, a manufacturer of doodads, has a daily marginal cost function of C ' (x) = 0.57(0.08x…

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Q: Find f'(x) for the following function. Then find f'(8), f'(0), and f'(-3). f(x) = -2x²+6x f'(x) = ☐…

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Q: y= 5x + te x -5x

A: y=e5x+e−5xxdydx=ddxe5x+e−5xxQuotient Ruleddx[f(x)g(x)]=g(x)f′(x)−f(x)g′(x)[g(x)]2

Q: Find the coordinates of the local maximum of the function f(x) = −x³ + 2x² + 3x.

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Q: Find the volume of the solid of revolution obtained by rotating the region bounded by the curves y =…

A: Step 1: Step 2: Step 3: Step 4:  Thanks

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Q: Solve the initial value problem y' = 7y² sin x, y(0) = 7. y =

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Q: 4. Mixing Concentrations (Differential Equations) Consider a one-litre tank filled with a saline…

A: The objective of this problem is to find the mass of the salt in the tank and the concentration of…

Q: Let lim f(x) = 4. Use the limit rules to find the following limit. x+7 lim √f(x) x-7 lim √f(x) x+7…

A: Step 1: Step 2: Step 3: Step 4:

Q: 10. Sally reasoned that if she drove 30 km/hr in one direction over a 180 km distance, and then…

A: Approach to solving the question: Detailed explanation: Examples: Key references:

Q: I need help with this problem and an explanation for the solution described below:

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Q: 4. A particle with acceleration a(t) = − (t − 2)² + 1 m/s² is traveling in a straight line. If it…

A: Simply we are using calculs formulas for kinematics     So , distance will be 14 metre

Q: Make a graph of the third picture on the sun

A: Step 1:Its graph is  Step 2: Step 3: Step 4:

Q: 2) Change the order of integration for the triple integral (x² + In(y) + z)dx dy dz so that you are…

A: The objective of this question is to change the order of integration for the given triple integral…

Q: y x=f(y) x=g(y) x Consider the blue horizontal line shown above (click on graph for better view)…

A: Step 1:1. The result of rotating the line about the x-axis is: B.  a cylinder of radius 2+y and…

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Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 450…

A: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinderto hold 450…

Q: Please solve the following calclus 3 problem: show all work by hand and follow all the steps.

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Q: Give EXACT value

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Q: Evaluate the indefinite integral ∫sec^7x * tan^3xdx

A: SOLUTION

Q: 2) Change the order of integration for the triple integral ſ² √² √²³ (x² + In(y) + z)dx dy dz so…

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Q: Suppose the position of an object moving in a straight line is given by s(t) = 6t² + 5t +5. Find the…

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Q: - 11) Calculate the Jacobian, J, for the change of variables x = u cos(0) – v sin(0) and yu sin(0) +…

A: The objective of this question is to calculate the Jacobian of the transformation from the variables…

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A: The objective of this question is to calculate the distance between a robot and a potential obstacle…

Q: Convert the point (r, 0, z) = 3 (1, 2, 2) to 2 to Cartesian coordinates. Give answers either as…

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Q: Find the differential of the function. y = x² - 9x + 2 dy = Evaluate it at the given values of x and…

A: Step 1:To find the differential of the function y=x2−9x+2, we'll use the definition of the…

Q: Use Newton's method to approximate a root of the equation 3x7 + 4x4 + 2 = 0 as follows. Let x1 = 1…

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Q: (a) A four-person student council is elected each year consisting of one student from each of the…

A: The objective of this question is to find out the total number of different elected councils…

Q: Find the following limit. lim t 5 answer =

A: Please comment down for any doubt. I hope my answer helps you.

Q: Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it…

A: For this question, we have to analyze the given diagram. First analyze x axis. When moving along x…

Q: Suppose that y = f(x) is a particular solution to the differential equation condition f(2) = 3. A.…

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Q: f(x) = 3x² - x³ 3 [−1,2]

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Q: Consider the following graph on the interval -180° 13

A: As you have already able to figure it out amplitude and period , lets find out the equation, The…

Q: A migrating salmon heads in the direction N 45° E, swimming at 5 mi/h relative to the water. The…

A: Given:The direction of the salmon = The speed of the salmon = 5 mi/hThe current of the ocean = 2…

Q: Find the average rate of change for the given function. f(x)=√2x+3; between x=3 and x = 11 What…

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Q: Use the product rule to find the derivative. y = (3x2 + 4)(3x-4) II dx

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Q: ii. Find the length of the curve x = t³, y = 3t²/2 for 0 ≤t≤ √√3.

A: We know that  The arc length formula for parametric curves is given as   S=∫ab​(dtdx​)2+(dtdy​)2​dt…

Q: (4) Let C denote the following disconnected surface: C = {(x, y, z) = R³ | x² + y² = 1Ux² + y² = 4,…

A: Step 1:(a) To sketch the given surface C, we have a cylinder with radius 2 (inner cylinder) and…

Q: The region in the first quadrant enclosed by the curves y = 1 - x², x = 0 and y = 0, is rotated…

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Q: 1. Find all max/min and intervals of inc/dec. f(x)=3sin(2x). [0,π] 2. Find all POI and intervals of…

A: Answer 1)To find the maximum and minimum points as well as intervals of increase and decrease for…

Q: Consider the function f(x)=x³. (a) Find f(a + h). (b) Find f(a + h) -f(a) h (c) Find the…

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Q: Estimate the limit numerically or state that the limit doesn't exist: lim 2-1 h→0 h (Enter DNE if…

A: If you have any questions let me know in comment box thankyou for your question.

Q: Is this correct?

A: (a)Integrating the given velocity…

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A: Question (2) Part (a) Given that: f(x)=3x​ The cube root of the appropriate center to approximate…

Q: Please solve the following calc 3 problem (show all work by hand plz)

A: Step 1:Step 2:

Q: Find the x-coordinate of the point where the function f(x) = x5 5 - x4 7x3 13x² + - 6x 4 3 2 has a…

A: Given Find first derivative f'(x).Now equate f'(x) = 0.The x-coordinates of the stationary points…

Q: Find the intervals on which the graph of f is concave upward, the intervals on which the graph of f…

A: The objective of this question is to find the intervals of concavity and the inflection points of…

Q: Using L'Hôpital's rule one can verify that In x lim x-+x x XT == 0, lim x+x ln x = lim x ln x = 0…

A: (a)(a.1)(a.2)b.(b.1) Graph:(b.2) RELATIVE EXTREMUMTherefore, the function has a relative minimum of…

Q: 8 Ay 10- Compute the following estimate of f(x) dx using 0 8- y= f(x) the graph in the figure. 6-…

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