Evaluate cos(2x) dx. Show how to do this by hand, and round the final answer to 3 decimal places.

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A: fxdx=x6+7x3-12x+2

Q: The Intermediate Value Theorem guarantees the existence of a real zero of a polynomial function as…

A: The intermediate value theorem guarantees the existence of a real zero of a polynomial function as…

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Q: ƒ: [0, ∞) →R:x→ √ and 8:R¬R:xH Give a formula for the composition g of.

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Q: 1. Differentiate. Leave your answers in un a) y = 5x³ 4x-² +6

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Q: Use Descartes' Rule of Signs to determine the number of posi O 0 or 2 0 0 01 O 1or 3

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Q: Test the series for convergence or divergence using the Alternating Series Test. (-1)^+1 √n+3…

A: Use alternative series test to check convergence

Q: Use the Laplace transform to solve the initial value problem. 18. y' + 2y = 26 sin 3t, y(0) = 3 20.…

A: eat ↔LT 1s-ateat ↔LT 1s-a2

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A: ∫sin2θ-5cosθcos3θdθ

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A: Rx=1634x-83x2-x3 Now put Rx=6600, we get 6600=1634x-83x2-x3⇒x3+83x2-1634x+6600=0 Now given that the…

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Q: x - X (2x-3)² (ii) the interval (s) on which the function f is convex or concave. (iii) all the…

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Q: 2. Approximate the area under the graph of f(x) = 0.02x² over the interval [0,10] by dividing the…

A: f(x)=e0.02x2 ;  interval 0,10 ; 5 subintervals

Q: For the following polynomial function f(x) = -x2 - 2x + 4, find the upper bound within which all of…

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Q: log3 q²p 01/10 O log37 - 2 log3 9 - log3 p

A: ( a ) log( x )y = ylog( x ) ( b ) log( xy ) = log( x ) + log( y ) ( c ) log( xy ) = log( x ) - log(…

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A: A linear function is of the form f(x)=ax + b

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Q: 1 dx = 1/1/1 and x² dx 2 S 0 0 evaluate the following integral. Enter the exact value with a common…

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Q: Calculate the consumer surplus and producer surplus for a market where D(q) = (q - 3)^2 and S(q) =…

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Q: We are given the following power series and must determine the radius of convergence, R.

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Q: The Intermediate Value Theorem guarantees the existence of at least one real zero of the polynomial…

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Q: For the following polynomial function f(x)= x3-3, find the upper bound within which all of the real…

A: The function is given as f(x)=x3-3.

Q: Find the value of integral √√√(x + 1 r(t) = (10 cos(-5t), 2√11 cos(-5t), 12 sin(-5t)) for 0 ≤ t ≤ π.…

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Q: Let 7 (t) = Find 7'' (t)

A: given r→(t)=<-2t2-5,-4e-4t,sin(-3t)>formula used→(i)  d dt(tn)=ntn-1(ii)  d dt(eat)=aeat(iii)…

Q: Find the net change in velocity over [6, 14] of an object with the acceleration a(t) = 13 (in m/s²).…

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Q: 2. Let f(x) = - X Approximate f(x) by a Taylor polynomial with degree 3 at a = 1.

A: given  f(x)=1x,  given a=1the formula for taylor polynomail with degree 3 at…

Q: Subject: Pre-calculation  Specific Topic: Functions and their Graphs Hello :) The questions are in…

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Q: L{(1+t")e-³t)= n! (A)+ (s-3)n+1 (B) (1 +¸m) (3) (C) + S43 n! (5+3)n+1 (D) (1+)()

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Q: The function f(x) = 1 + 1.5 In(x + 1) models the average number of free-throws a basketball player…

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Q: The Intermediate Value Theorem guarantees the existence of at least one real zero of the polynomial…

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Q: Q. 3 What is the equation of the following graph? y = - (x-2) 2 + 3 y = (x + 2) 2 - 3 y = (x-2) 2…

A: It is a downward parabola with vertex (2,-3)

Q: A plate occupies the region in the plane described by inequalities: 4 ≤ x² + y² ≤7, y ≥ 0

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Q: The time in seconds that it takes for a sled to slide down hillside inclined at an angle is d 16…

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Q: For the following polynomial function f(x)=x²-4, find the upper bound within which all of the real…

A: Given polynomial function is  f(x)= x^2-4

Q: Find a plane through the points (-2,2,-7), (4,1,8), (7,-1,5)

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Q: Subject: Precalculus Specific Topic: Functions and their graphs Hello :) The questions are in…

A: All the possible values of x is called domainAll the possible values of y is called range

Q: Q.11 Find the equation of a line through the following points: (0, 2) and (4, 8) y = 2x + 2 y = 2x…

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Q: Write as the sum and/or difference of logarithms. Express powers as factors. log3

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Q: M& Σ n=2 1 η Inn(In Inn)p

A: We have to find the value of p for which series convergent∑n=2∞1n lnnln lnnp

Q: S ㅋ K=l Veek

A: To determine whether the following sum diverges or converges. ∑k=1∞ 7k ek

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Q: 19. Maximizing Volume Three hundred square inches of material are available to construct an open…

A: To find out the dimensions of the box that will maximize the volume.

Q: Find the general or particular solution, as indicated, for the following differential equation. dy y…

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Q: 7. The half-life of Sn is 240 yr. If 10 mg of Sn is present in a sample, find the amount of Sn (in…

A: A(t)=A0(1/2)t/k Half life = 240 years