Compute the indicated derivative. U(t) = 5.1t2 – 1.7t; U'(3) U'(3) =

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Q: Given the following differential equations, use an appropriate method to find for the solution.

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A: Given:        ∫0π2cosθ1-sinθdθ substitute u=1-sinθ→dudθ=-cosθ→dθ=-1cosθdθ      =∫10-1udu       =-∫01...

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A: Solving as per the instruction given in the question we get.

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Q: Activity 1. What's My Extrema? Identify the extrema (both minimum and maximum) of the given graphs b...

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A: Given equations are:  x2+y2-2ax=0x+y=2a

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Q: Let a = ci + jand b = 8i + 15j. Find c so that the angle between a and b is. Round your answers to f...

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Q: Consider 5 28 +2 x2 +2 sin(x)–2 -28+5x+5 f(x) = Find the behaviour of f(x) as x → 0. • If lim f(x) e...

A: Here, f(x)=5x8+2x2+2sin(x)-2-x8+5x+5

Q: y = 6+4 Vx csc x

A: Topic = Derivative

Q: Find the length of the arc of the curve 9y? 4x3 from the origin to the point (3,2v3).

A: Here, the given curve is: 9y2=4x3⇒y2=4x39⇒y=23x32 Now, the length of the curve on [a,b] is given by:...

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A: To evaluate the given integral.

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Q: Consider the power series rvn(5– 2x)" 2n + 1 Vn(5 – 2x)* n=1 a. Show that the series is conditionall...

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Q: f) {1,0,–1,1,0, –1,1,0,...}

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Q: Use the given graph of f over the interval (0, 6) to find the following. y -1 1 (a) The open interva...

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Q: Evaluate fx Vx + 10 dx

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A: answer is following-

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Q: ind the centroid of the volume formed by revolving about the x- axis the area bounded in the first q...

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Q: onsider the points A(3, -3,3), B(4, –5, 1), C(-2, –-4, 1), and (6, 3, -5). -) Find the volume of the...

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Q: 2 cos 0 de V1 – sin 0

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Q: Solve the problems below that pertain to Có structing a feñčě. (a) A farmer wishes to enclose 6,724 ...

A: We have to find the values of x and y.

Q: 4. If g(t) = et +e-i' then g'(t) is which of the following? 2et + 4e2t (A) e2t + 2+ e=2t 2et + 4e2t ...

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Q: G(t), of the function g(t) = (2n?t? - t)V2n2 – t?. %3D

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Q: 1. What is the answer?Show your complete solution and simplify your final answer without the use of ...

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Q: Compute the derivative function f'(x) algebraically. HINT [See Examples 2 and 3.] 9x f(x) b (k # 0) ...

A: Given:- The function is, f(x)=9xk-b (k≠0) To compute: - Ther derivative of the given function f'(x) ...

Q: 2. у(у+ 2х — 2)dx — 2(х + y)dy 3D 0

A: A differential equation of the form M(x,y)dx+N(x,y)dy=0 is said to be exact iff, ∂M∂y=∂N∂x

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Q: Identify and sketch the surface of each of the following 4 equations. Label the intercepts and trace...

A: Identify and sketch the surface of the equation25x2-100y2+16z2=-400

Q: Find the length of the arc of the curve 9y2 = 4x3 from the origin to the point (3,2v3).

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Q: Evaluate the integral using the following values. 8. x³ dx = 960, 8. 8. x dx = 24, = xp — Зх dx 14

A: ∫48-3x dx=-3∫48x dx Using the given data,  ∫48x dx=24 ∫48-3x dx=-324

Q: What is the answer? show your solution and simplify your final answer without the use of calculator

A: Solved assuming 'a' is positive.