V ss Vst Vts Vtt || || 11 11 V sin(2s² - 4t²)

Q: Find the area of the region enclosed by one loop of the curve. r= sin(20)

A: The given curve equation is

Q: Discuss the continuity of the function.

A: The objective of this question is to determine the continuity of the function f(x, y) = sin(x² - y²)…

Q: Directions: Solve the initial value problem. Solution: y y' = 3t²y² and y(0) = 6

A: we are given the differential equation and we need to find its particular solution.

Q: Consider the following function. 1 f(x) = x=²= 1 etermine whether f(x) approaches or - as x…

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Q: Evaluate the following limits. If necessary, enter INF for ∞ and -INF for -∞. a) lim →∞0 b) lim 4 60…

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Q: Find the distance from the point to the line. P(-9, -7,3); x = -9+3t, y = - 7 + 8t, z = 3 The…

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Q: do b and c.......

A: The given differential equation b)  , c) ,

Q: An insect is discovered suspended in amber. A specimen is drawn from the insect, converted to…

A: We need to use the ratio of carbon-14 (C-14) to carbon-12 in living organisms. The ratio in living…

Q: We create a solid of revolution by revolving R about the line y = 12. Set up an expression with…

A: Given that the region R bounded  by the lines

Q: Consider the following function. 1 f(x) = x²-25 Complete the following table. (Round your answers to…

A: x-5.5-5.1-5.01-5.001-5infinite-4.999-4.99-4.9-4.5

Q: The acceleration of an object moving along a vertical path is given by a(t) = 12- 7 cost meters per…

A:

Q: List atleast three integration techniques (preferably 4+) that can be used to solve…

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Q: Task 1 The variation of resistance R ohms, of an aluminium conductor with temperature 0° C is dR…

A: The variation of resistance R ohms, of aluminium conductor with temperature  is given by

Q: Lawrie, Gavin, and Alan are building a shed in the shape of a rectangular prism. The volume of the…

A:

Q: A particle moves along the x-axis so that its velocity at time 0 < t < 18 is given by v(t), whose…

A: Given: The graph of the velocity function  for  is shown below.To Find: To determine all intervals…

Q: a. Use the product rule to find the derivative of the given function. b. Find the derivative by…

A: The given function is .The aim is to find the derivative of the function.

Q: For f(x) = x² − 6x² + 9x, Find Local Maximum, Local Minimum, and Point of Inflection. {Your answer…

A: For , to find local maximum, local minimum, and pointof inflection.

Q: A quarterback is standing on the football field preparing to throw a pass. His receiver is standing…

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Q: The force on an object is F= -14 j. For the vector = -2+ , find: (a) The component of parallel to :…

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Q: if f(1) = 10 and f'(x) = 2 for 1≤ x ≤4, how small can f (4) possibly be?

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Q: the x-axis so that at time t≥ 0 its position is given t. Determine all intervals when the speed of…

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Q: Find the equation of the tangent to the curve f(x) = (x − 217 ) (3x + 5x²); − (x− ²2²2² )(3x + 5x²)…

A: .Given point is (1,4).

Q: Graph each function and give its key characteristics. Use a graphing calculator for turning points…

A: A relative maximum point is a point where the function changes direction from increasing to…

Q: Three forces with magnitudes of 65 pounds, 80 pounds, and 135 pounds act on an object at angles of…

A:

Q: -5 Let g(x) = fª f (t) dt where the graph of y = f (t) is shown below in the closed interval [-9,…

A: Given function is We have to find the interval of concave down

Q: Calculate the volume of the space that is bounded below by region R and above by the graph of f(x,…

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Q: 80000 10+6e-02 where P(t) is the number of insects in this colony after t months. Determine the…

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Q: Let g (x) = fª f (t) dt where the graph of y = f (t) is shown below in the closed interval [-9, 15].…

A: Given that We have to find the interval of concave up of the function g(x)

Q: If it costs Microsoft $4,110 to manufacture 8 XBox Series X consoles in an hour and $8,190 to…

A: If it costs Microsoft $4110 to estimate 8 XBox series conspoles in an hour and $8190 to manufacture…

Q: Q9) Find the volume V of the solid in the first octant whose graph on the right. a) V= c) V=2 b) V =…

A: Given that, the solid graph bounded by      We need to find the volume of the given solid.Limit of…

Q: Suppose that u and v are two vectors with |u| = 1, |v| = 4 and u · v = −2. a. Compute |u + v|. b.…

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Q: Let Xn=cos пл 2 then limit supremum of the sequence is

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Q: Use graph transformations to draw a graph of the function P(x)=4-3 Show any additional work needed…

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Q: Find the slope and equation of line tangent to the curve 8x1x16x² at x = 4 Y = 3

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Q: x-5 x³+x² dx

A: To evaluate the following integral.

Q: Directions: Calculate the following indefinite integral (make sure you include +C as part of your…

A: Re

Q: / (sec. sec u tan u -1) du

A:

Q: solve the single unknown

A: Given expressionTo find:Evaluate the value of xUsing Cross multiplication methodIt is defined as the…

Q: = Consider the function f(x) = 100 x +² , x < 0. Determine the local extreme point 4

A: f(x)= 100/x + x/4

Q: Find an equation of the line tangent to the circle with center C = (3, 1) at point P(8.13)

A: Solution;The circle with center C = (3, 1)at point P(8,13)

Q: A graphing calculator is recommended. The displacement (in centimeters) of a particle s moving back…

A: The objective of the question is to find the average velocity of a particle moving along a straight…

Q: P(x, x2) and Q(x+h, x² + 2xh+h²)

A: The slope of the line passes through points  is

Q: Question 2. Chun starts with numbers a, b 20 and puts them on a line. Then they draw a semi-circle…

A: from the figure

Q: Find each limit. Use -∞o or ∞o when appropriate. 4x-8 (x-8)² f(x) = (A) lim f(x) X→8 _8+x (B) lim…

A: Given function isWe have to find the value of the following limits

Q: Directions: Both first partial derivatives of the function f(x, y) are zero at each of the given…

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Q: Directions: Calculate the following indefinite integral (make sure you include +C as part of your…

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Q: (a) State Rolle's Theorem. (b) Verify that the function f(x) = x³ - 2x² - 4x + 3 satisfies the…

A: (a) To state the Rolle's theorem.(b) To verify that the function  satisfies the hypotheses of…

Q: The perimeter of this quadrillateral is 14√7. the missing messure? X metres 3+Tm 4√7m is 14√7 m.…

A:

Q: a. Using three approximating rectangles and midpoints, find the approximate area under the curve of:…

A: The given function  , The midpoint rule

Q: Use the Limit Properties to find the following limit, if it exists. 9x + 4 4x-9 lim ∞0←X Select the…

A: