Find the derivative of the function. y = sin ¹(cos ¹(t))

Q: Consider the integral [32² In(x) dx: Applying the integration by parts technique, let u and dv Then…

A: To evaluate the integral ∫3x2 lnx dx by using integration by parts technique.

Q: If sin e = V2 and cos e = 4 what is tan 0? 430 O_√7 - 3 4 حرا من 3 O vi 3 - 3 4

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Q: X Find the point of inflection of the graph of the function f(x)=2sin on the interval [0, 147]. ○ (7…

A: Given query is to find th point of inflection.

Q: The roots of the auxiliary in y (4) + 3y"- 4y=0_ Om= ±2 Om=+1,i Om= + 2i Om= ± 1, ± 2i

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Q: 24. Below is the graph of f(x) lim f(x) = x-1 f(-1)=

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Q: Part b pls

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Q: 23. lim 848 5√√x+3 1 - 17x²

A: Solve limit

Q: If a principle of $4000 is invested at an interest rate of 6%, how many years will it be until the…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Differentiate the function. g'(x) = g(x) 에너 1 VX +x

A: Given:g(x)=1x+x5

Q: Write Sk 1.13+2 14+3•15+...+ Write SK+1- (Type your answer in factored form.) 1.13+2+14+3•15++=…

A: To evaluate:  ------------------------------------------------------------------------------- Basic…

Q: 3. Let's study the ODE y" -y=t, y(0) = 0, y'(0) = 0. Find the transfer function (so, the form in the…

A: Given that,         y"-y = t ,  y(0) = 0,  y'(0) = 0 taking the Laplace transformation, we get…

Q: 3. Under what condition is the tangent to f(x) at (a, f(a)) horizontal? c. f'(a) = 0 a. f'(a) > 0 b.…

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Q: If f(x) x = √₁² (2²³ + Sº (t³ + 5t² + 2), dt then ƒ''(x) = =

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Q: Let f(x) = sin(z))". Find (1). (1).

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Q: 6x. Using the formal limit definition of the derivative, prove that 3x² =

A: Using the formal limit definition of the derivative  we have to prove that derivative of 3x^2 is 6x.…

Q: Let f(x)=2 ta(a), Find f'(z). f'(z) -

A: Given query is to find derivative.

Q: Differentiate. f'(t) = f(t) = 8t t³t-1

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Q: (c) At what points is the height 40 m? (Round your answers to two decimal places.) (x, y) = -52.825…

A: The given equation of the arch:y=211.49-20.96 cosh0.03291765x

Q: Suppose u and v are functions of x that are differentiable at x=0 and that u(0) = - 4, u'(0) = - 6,…

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Q: 1. (6413 #4 p. 351) The cross section of a large tank is a trapezoid. The short side of the…

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Q: Topic: Time Rates: Inverse trigonometric functions A balloon leaves the ground 500 feet away from…

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Q: If f(x)= f'(x) = = tan z sec x -4

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Q: 4 Suppose that f(x, y) = 2x² + 2y¹ − 1xy Then the minimum is

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Q: ) The derivative of y=e¹4x, x>0 is: a) b) x√16x¹-1 243-1 c) RV168--1 d) None of the above

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the Binomial series for 1 (1+x)²

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Q: Find the sum of the series 65+ 513 5/9 + LO 5 27 - 5 81 +

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Q: 15

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Q: The graph off is shown below. For which values of x is f'(x) zero? -6 -4 2 15 10 5 -5 -10 15 2

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Q: -X d) xy' + (1 + x)y = e¯* sin(2x)

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Q: Determine the solution of the following differential equations. c) (D¹ + 2D6 + 7D5 + 14D4 + 8D³ +…

A: To determine the solution of the following differential equation.D7+2D6+7D5+14D4+8D3+16D3-16D-32y=0…

Q: A population is modeled by the differential equation dP P d = 1.2P(1 - 2200) dt (a) For what values…

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Q: The cost function for a particular product is given by Cx) - 0.0001x³ +0.018x² +26.7x + 190 dollars,…

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Q: The indefinite integral ſ(4x – 4)e¹ª dx can be evaluated using integration by parts. Even though you…

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Q: Find the standard form of the equation of the ellipse and give the location of its foci. Ay Q Q…

A: we need to write down the equation of ellipse from the given graph.

Q: Find the sum of the first 30 terms of the sequence. 3, 12, 21, 30, ... S30

A: given  3,12,21,30,.....the difference between numbers is 9we know that sum of nth term of a.p. is…

Q: f(x) = (2x³ + 8), (1, 100)

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Q: Determine the solution of the following differential equations. a) (D² +9) y = 81x² + 14cos3x

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Q: Find the Equation for the Graph of a Logarithmic Function (-4,3) (2,4)

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Q: Sketch the graph of the following function and determine whether the function has any absolute…

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Q: Transform the given differential equation into an equivalent system of first-order differential…

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Q: Use area to evaluate the integral 7x • ! 0 dx = dx, b>0. ...

A: NOTE: Refresh your page if you can't see any equations. . the given function is  which is the…

Q: Differentiate the function. F(t) = tº + e⁹ F'(t) =

A: Here is the solution:

Q: sin(2x) x y = if x = л, dx = 0.25 find the differential. Round your answer to three decimal places.

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Q: enclosed

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Q: 25) A) C) D) F) Suppose h(x) = f(x) g(x). Working with the values given in the tables shown at the…

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Q: (D² + 6D + 9)y = 17e²

A: To solve the given differential equation

Q: 36. Evaluate cos 20, given cos 4 sin == 0 5 = 3/5 ar

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: d²y y = cos xtanx 18.Determine dx2 for

A: The function is given as y = cos(x)tan(x) Simplifying the given expression, Substitute tan(x) =…

Q: Consider the function f(x, t) = x³e-, where c is a constant. Find the indicated partial derivatives,…

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Q: Current Attempt in Progress X Your answer is incorrect. Consider each function to be in the form y =…

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