Find dx dt dx dt at x 2 if y= = - 2x² - 1 and dy dt = - 3.

Q: 38. If the velocity of a particle is given by the equation v(t) = r²- 5t \mbox{and the…

A: Topic = Algebra

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A: greens theorem

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Q: Evaluate the definite integral. Use a graphing utility to verify your result. 6² × Step 1 x sin 2x…

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Q: box the final answer

A: This question is related to error in area of triangle, we will solve it using given information.

Q: Find the indefinite integral using integration tables and using the given method. (Use C for the…

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Q: A particle moves along a line so that its velocity at time t is v(t) = t²-t - 6 (measured in meters…

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Q: Compute for the arcsinx dx

A: NOTE: As per our guidelines, I have solved one problem. If you want the answers of rest, kindly post…

Q: Sketch the plane curve. r(t) = 2ti - tj, [0, 2] -1 -1 y 2 1 -1 -2 y 1 -1 -2F 1 Need Help? Watch It…

A: The objective of the question sketch the given curve and determine its length.

Q: Question Given f(x)=√x+8, find f'(-7) using the definition of a derivative. Provide your answer…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: To find inverse Laplace Transform:

Q: 3. Let R be the region between the functions y 2² and y = 8 - 2². Set up the iterated double…

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Q: 2. The slope of the tangent to a curve at any point (x, y) on the curve is. Find the equation of the…

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Q: mine the value of c for which a given ass function. Determine the value of c such that the function…

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Q: f(2)-f(-1) 2-(-1) Let f(x)= |x|. Is there a value c in [1,2] such that f'(c)=- If yes, find such c.…

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Q: (16x² − 16 x + 4)D²y = 4x² − 4x + 4

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Q: Find the unit tangent vector T(t). r(t) = t²i + tj + 20 T(5) = (10, 1) ✓101 eBook k. P(25, 5, 20/3)…

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Q: Solve for the roots 16x4-1

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Q: Fill in the blank. (Enter your answer in terms of t.) 1 ={} 2 =

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: sketch and find the area of the region enclosed by the graph of the equation r=3 cos Θ....

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Q: f(t) = - (8, 10, 0 < t < 4 t24

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Q: 17. If the function x² - 4 constants A and B respectively are: A. A=- B: B. A 11 1 4 B is resolved…

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Q: Use the integration capabilities of a graphing utility to approximate the volume of the solid…

A: we know that Volume of solid generated by revolving thr region about  x axis =∫ab  π y2 dx

Q: An inverted pyramid is being filled with water at a constant rate of 60 cubic centimeters per…

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Q: t = 0, a bacterial culture weighs 4 grams. Three hours later, the culture weighs 5 grams. The…

A: We have to solve the logistic model equation with given data.

Q: 2. Set up the triple integral to find the volume inside x² + y² = 9, above z = 0, and below x+z = 4.…

A: Solution is given below:

Q: Consider the function f(x) and its derivatives:

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Q: Find the volume of the solid generated by revolving the shaded region about the x-axis. 10+ 0…

A: Given that, the function is 3x+4y=24. Rewrite the given function as follows,…

Q: You invest $10,000 in Rapid Growth Funds, which appreciate by 3% per year, with yields reinvested…

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Q: . Find the partial fraction decomposition for: 8x²-11x+14 x3-x²-4

A: The objective of the question is determine the partial fraction.

Q: The linear approximation at and where B is: = = 0 to sin(9x) is A + Bx where A is:

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Q: Explain the meaning behind the expression foF-dr, for a curve C and vector field F.

A: To explain: The meaning behind the expression ∫CFdr for a curve C and vector field F.

Q: 11./ a) b) c) 1 1 1 ) Consider the relation on A={1,2,3) represented by the matrix 0 10 1 Determine…

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Q: 7

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Q: 2.: Select the correction choose. A) Using two iterations of the Simple Iterative Method, find the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then the integral L{f(t)} =…

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Q: Find the area of the region bounded by the curves y = x² and y = -x² + 4x. 9/4 11/3 12/15 8/3 none…

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Q: If we want to find the area under the curve of y = sin(x) + cos(2x) when x is between 0 and , what…

A: In this question, we want to know the formula to find the area under the given curve.

Q: H.w3: Used Newton-Raphson method to find solution accurate to with in 105 for the following…

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Q: e volume of the solid generated by revolving the shaded region about the x-axis. 3x + 4y = 24 10 The…

A: Topic:- application of integration

Q: 2 p4 p2 0 -1 (8x-2y+z)dxdydz

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Q: it got marked wrong. how am is upposed to type it in.

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Q: Consider the following function and closed interval. f(x) = x²/3 - 3, [-8, 8] sf continuous on the…

A: Given f(x)=x^(2/3)-3 on interval [-8,8]

Q: The number of books in a library increases at a rate according to the function B'(t) = 360 e the…

A: Solution of given question is written in below steps.

Q: Fill in the blank. (Enter your answer in terms of t.) 15² 1

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Q: Find the volume of the solid of revolution formed when the region under the curve y = x over the…

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Q: n3 e the following: i) ii) (7x² + 5x+)dx (8x³+2√x++)dx Given that f'(x) = 3x² - 4x + 10x6 and y=f(x)…

A: Topic:- application of integration      Note :- as per our guideline if more than three subparts…