Convert the following measure to radians. 15° = ? radians. a) I 6 b) I 4 O ㅠ 12 O d) T 3 c)

Q: Solve the following Differential Equations with Laplace Transforms y" - 6y' + 15y = 2 sin(3t), y (0)…

A: Let's solve diffrential equation by using laplace transform.

Q: * Define this property L (f(t)eat) = F(s-a) Second shifting property O Linearity property O…

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Q: C. Evaluads the Sum 20 [ (₁²+3) ² (

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Q: An object is moving with velocity (in ft/sec) v(t) = t² - 2t + 2. At t = 0, the object has a…

A: Topic = Integration

Q: *.The equation (y"+x3y'+y=sinx)is.............. differential equation Linear,2nd order, Homogenous O…

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

Q: 3. Waile si Sigma Notatimi 1. 12-201 4 곱 so times 나스

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Q: | 1) 2Ln(√x + 3) + 2Ln(√x − 1) = Ln(6x - 7) 2)3x+2 = 27

A: This question is related to solution of equations, we will solve it using given information.

Q: S (2y-3) dy 2y ³-y²-27y + 36

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Q: A giant spherical-shaped snowball is melting. If the radius decreases at the rate of 0.5 in/min, now…

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Q: 12. Setan 2x sec² 2x dx

A: As per guidelines we can solve only one questions at a time, so if you need more answers kindly…

Q: Determine the following derivative with respect to x: Y = cos(sin(cos x))

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Q: 5.494949... = 5. 49494 100000 X

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Q: Consider the function y = (2x+1) e³x. Find the extreme value (or values) of the function (classify…

A: Given problem:- Consider the function y = (2x + 1)e3x Find the extreme value (or values) of the…

Q: ל 15 18 a = (3₂16) 6= (-2,0,1) → 08 -> 2² = ²²-23 +5k →> oc CẢ OA

A: Given :a→=3,1,6=OA→b→=-2,0,1=OB→c→=i-2j+5k=1,-2,5=OC→

Q: Obtain the sum of the seri Ean $a = -² 2 n=2 nn

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Q: Solve step by step in digital fe 6x - 1 a) lím x→ 1/ 2x - 6 b) lím X-00 x² - 9

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Q: Let f(x) be the function 5x² - 7x + 6. Then the quotient f(5+h)-f(5) h can be simplified to ah + b…

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Q: where p(t) is the proportion of the population that knows the rumor at time t and a and k are…

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Q: (2x-1) dx 1 2x²³²-x²-27x +36

A: …

Q: If [ f(x) dx = 12. g(x) dx = -2 and L₁ dr following gives the value of [[1²)+ 4 76 Sh +4g(x)- h(x)…

A: Given:     ∫-36fxdx=12     ∫-36gxdx=-2     ∫-36hxdx=-7

Q: c) L-1, 4s² - 21s+ 30 (s² - 6s+13) (s – 4) -

A: Above question is solved.

Q: 2.2 2.3 Determine whether the series below converges or diverges. Determine the first four terms in…

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Q: Question 4 (a) Solve the following: (b) Explain with the aid of a sketch how this value can be…

A: Above question is solved.

Q: t b) tz 16) L-¹ (5-3)²+25) = c) tz estsinst a) 5 d) t est sin3t 5 b) c) e-at sin3t 5 eatsinst d)

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Q: Find the volume of the region of R^3 bounded by the paraboloid z=x^2+y^2 and by the planes…

A: Concept: Let us take D to be a bounded, closed space region. Let a and b represent real numbers,…

Q: Consider the following. [u-5(6 - u³ +4²0) du Simplify the integrand by distributing u¯5 to each…

A: We know that integration power rule is given as - Integration of xn is xn+1/n+1 +C ; here C is…

Q: 1) e5ln x+4Lny-Ln z qua

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A cylinder shaped can needs to be constructed to hold 200 cubic centimeters of soup. The material…

A: Given problem:- A cylinder shaped can needs to be constructed to hold 200 cubic centimeters of soup.…

Q: a b 3. Write the scalar equation of the plane with normal vector = [5,-1,-2] and passing through the…

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Q: * The z-transform of a signal is given below,its final value Z-1 2-¹ (1-2-4) x(z) = 0.25 (1-z-¹)²…

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Q: 2. If F = (3x² - 3yz)i + (3y²-3xz)-(32²-3xy find div curl

A: Given problem:-

Q: 5. Two planes are perpendicular if their nommals: a) have a cross product of zero c) have a dot…

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Q: Which of the following five series converge, and which diverge? Explain. n+1 (Inn)² 1 4 n². √n n 1+…

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Q: 1. Consider the function y = ex²-3x+1. Find the extreme value of the function (classify as minimum…

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Q: Find the derivative: y = x [ln(x) - 1] O ln(x) - 1 о O x ln(x) O In(x) O 1 + In(x)

A: Given y=x[lnx-1]To find dydx:

Q: 4. The equation of a plane is [x, y, z)=[-1,-1,1]+s[1, 0, 1]+[0, 1, 2]. Find the - intercept of the…

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Q: 6 sinh t 6 cosh 51 Option 2 O Option 3 * What is inverse Laplace for 6s s² +25 6 sint 6 cos 5t…

A: In this question, we need to find the inverse Laplace of given function.

Q: Convert the following iterated integrals (SET UP ONLY): x² a.) [f dA from Cartesian coordinates to…

A: The simple change polar coordinate...

Q: Q14) The solution of y" + y = 0 by using power series method, is: - a) y(x) = ao + a1 ( 1 - 12/11 c)…

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Q: Evaluate the following improper integral or state that it is divergent. * 2 3 dz 6 -1 $4 – 2z

A: ∫-1234-2z6 dz Note:     Multiple questions are given, we are answer with only one question. If you…

Q: Find the integration of the following functions COSX 1) dx 3+8sinx 2) fx tan(x² + 1)dx

A: In this question, we want to solve the given integrals.

Q: f(x) = 4x5 (12x² + 15x + 3)

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Q: Find the orthogonal trajectories of x = C exp (-y²). Oy=C*exp(-x) Oy=C*exp(2x) Oy=C*exp(-x^2) O…

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Q: Find the area of the region under the graph of the function f on the interval [4, 5]. 9 f(x) = -2²/2…

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Q: 1 Given f(x)=³-57² +24r, which of the critical number found in the previous number is f(c) a…

A: You must have an idea about to how to find relative maximum or minimum using critical points.

Q: Instructions 1. Write your complete solution for each item. It should be handwritten. 2. Make sure…

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Q: The vector a has a magnitude of 7. Its x component is 2, and its y component is twice its z…

A: Given: The vector 'a' has a magnitude of 7. Its x component is 2, and its y component is twice its z…

Q: 3. A farmer has 6000 m of fencing and wishes to create a rectangular field subdivided into four…

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Q: A rectangle is inscribed with its base on the x-axis and its x². What are the = upper corners on the…

A: We have to find width and height of rectangle.

Q: The diversity of a population that contains two species can be measured by the Gini-Simpson…

A: The diversity is given by H(p)  H(p) = 2p(1-p)   H'(p) = d/dp(2p(1-p)) H'(p) = 2(1-p) -2p H'(p) =…