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

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…

A: Solution: Firstly let's find the limits of the Area since  y = x2 and y = 4x - x2

Q: 3. Give/Describe a generator, a directrix and the rulings of the given cylinder. Draw a sketch of…

A: GIVEN:- z=y^2

Q: y(t) = y" - 3y' = 8e²t - 2e-t, y(0) = 1, y'(0) = -1

A: Given

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Q: Evaluate 2 [²4x² - 4x³ - 2x + cos(x) dx. Note: If the answer is not an integer, round your answer to…

A: We need to evaluate the value of the following integral ∫024x3-2x+cosxdx

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: 1.Find the derivative of the following functions. 2 a) F(x) = ²* 5 √t³ + 8dt et -dt et +3 b) G(x)=…

A: Topic:- application of integration

Q: Integrate O O-√√25-x² + C O X 25 – x² 25 - x² + C 25 - x² 2 O √25x² 2 - + C + C dx.

A: Consider the integral  ∫x25-x2dx   Formula  ∫xndx =xn+1n+1+c

Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = 6t5 L{f(t)} Submit…

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Q: Answer true or false. The function f(t) = (e) 10 is of e O True O False

A: topic:- function       definition:- An exponential function f ( x ) = a x. where x is a variable,…

Q: H.w3: Used Newton-Raphson method to find solution accurate to with in 10-5 for the following…

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

Q: Please explain how to differentiate f(x)=5^secx

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Q: -1 Find the exact value of sin 2 sin sin (2 sin -1 2-0 (Simplify your answer, including any…

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Q: (True/False) Let F= Pi+Qj on an open region D. Suppose Py = Q₂. Then F is conservative.

A: Let F→=Pi→+Qj→

Q: Determine the integral of Int dt from t = 1 to t = e. C. 1 D. Ine² A. e B. O

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Q: 3dy √1-4y² xdx cos² (x²) 2 4. Solve - 5. Solve - 6. sinx dx secx

A: I am attaching image so that you understand each and every step.

Q: Find the limit of the sequence using L'Hôpital's Rule. bn = 6   n ln  1 +  1 n   lim n→∞ bn =…

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Q: Find the linearization of the function f(x): L(z)= ab a --4x-5 va a न 4x+3 at z=-1 sin (a) E

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Q: Sketch the plane curve. r(t) = ³ + 2₁, [0, 1] y 1.0 0.8 0.6 0.4 0.2 y 1.0 0.8 0.6 0.4 0.2 0.2 0.2…

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

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

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Q: A (a) Show that W is a subspace of R³. (b) What is the dimension of W? _. Let u = " and let W be the…

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Q: Solve for the roots   4x2-5x-2

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Q: The given family of functions is the general solution of the differential equation on the indicated…

A: By using the general solution and the initial conditions we can find the particular solution of the…

Q: Fill in the blank. (Enter your answer in terms of t.) ਤੇ s 2 S | 14s + 53 -

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

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Q: Find the unit tangent vector T(t). r(t) = 1²₁ + tj + 201 k, T(5) = P(25, 5, 20/3) Find a set of…

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Q: Find the following for the given equation. r(t) = (e-t, 3t², 4 tan(t)) (a) r(t) = (b) r(t) = (c)…

A: Topic = Derivative

Q: Use the definition of the Laplace transform to find L{f(t)}. (Enter your answer in terms of s.) 0,…

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Q: 7. The function f(x) has a critical point at x = 3. This could mean that A. There is a minimum at x…

A: Topic = Derivative

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -3, 9) Radius:…

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Q: Name the quadrant lies in if sec 0 >0 and tan 0 <0. a) Quadrant II b) Quadrant IV c) Quadrant I d)…

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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: M

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Q: Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

A: I have stated the used formulas in the solution

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: Question 4 Find the derivatives of the following: f(x)= (4x+7)(x-3) (x-2)

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Q: Approximate the definite integral using the Trapezoidal Rule and Simpson's Rule. Compare these…

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

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Q: -2x+1 if x0 f(0) = (0, -1) (d) Graph the function below. (b) f(-1) 2 f(-1) = −2 (-1) + ¥(-1)=3…

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Q: A conservation organization releases 15 Florida panthers into a game preserve. After 2 years, there…

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Q: . (True/False) Let C be a closed curve. Then for a continuous function f, we have fof ds = 0.

A: As per our guidelines i am supposed to answer only one question please repost remaining question

Q: How long will it take for the population to reach 65286528 fish, according to this model?

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Q: Find the general solution of the given higher-order differential equation. y"" + 4y" - 9y' - 36y = 0…

A: To find the general solution of the given differential equation.

Q: The cross section of a precast concrete beam for a building is bounded by the graphs of the…

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Q: Use a graphing utility to graph the function in part (b) and verify the maximum volume from the…

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Q: Find the derivative of y with respect to t: (2) (3) y = (sech t)(1-In (sech t)) (4) y = (t² + 2t)…

A: We need to find derivative.

Q: Find the volume of the solid obtained by rotating the region bounded by the curves y = x², x = 1 and…

A: Solved below

Q: let r be the region enclosed inside y=x2 and y=3x-2 a.sketch the region R. b.Compute the area of the…

A: Given the region R is enclosed inside  y = x2 and y = 3x-2. Interaction between both graphs  x2 =…

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

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