Find the value of t so that t t = 6 -1 t

Q: J0 t<4 Find L{g(t)} if g(t) =- t2 4

A: The Laplace transform of the function g(t) is represented as G(s) or L[g(t)], it is defined as…

Q: Use the formula (t) k(t): ||r' (t) x r"(t)|| = 13 ||r' (t)||³ r(t) = e¹²ti + e-tj = to find k(t).

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Q: Use the formula ‹(t) k(t): = ||r'(t) × r"(t)|| ||r' (t)||³ = r(t) = e³ti + e-tj to find (t).

A: Given r(t)=e3ti+e-tj. Find k(t) by using formula k(t)=r'(t)×r''(t)r'(t)3.

Q: Express f(t) in terms of the unit-step function and find F(s): 2t, f(t) = {2t + 5(t-6)et-s 0<t<5 t25

A: Given: f(t)=2t,0&lt;t&lt;52t+5t-6et-5,t≥5 To find:  Express ft in terms of the unit-step function…

Q: R(t) = (cost, 2sin t) T(1). Given Find

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Q: If f(t) = 103t-5 x e2t, determine the value(s) of t so that f'(t) = 0.

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Q: The value V of a jet ski t years after it was purchased can be estimated using V(t)= 3,795/t +610…

A: Given that The value V of a jet ski t years after it was purchased can be estimated using V(t)=…

Q: ||r' (t) × r"(t)|| ||r' (t)||³ Use the formula k(t) = r(t) = e³ti + e-tj k(t) 12 (9 e¹ t + e−¹ t) ·…

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Q: Q6: Sketch x(t) and find X(f) for t – T/2` ´t – 3T/2' an (2) - an() x(t) = A II + B II T T

A: Sketch x(t) using rectangular function.

Q: The value v (in dollars) of a fir tree used for lumber in a plantation changes with the age of the…

A: The value of the fir tree is given by the function: vt=50t1+0.1t Given that the trees harvested are…

Q: Find the value of k so that the value of f (2y- 1) dy is 10. 1 4

A: We have to find the value of k.

Q: The population P (in thousands) of Reno, Nevada from 2000 through 2007 can be modeled by P = 346.8e…

A: The population Pin thousands of Reno, Nevada from 2000 through 2007 can be modeled by P=346.8 ekt,…

Q: Find r'(t) r(t) = e 1 + 7j + 8te'k

A: The given function is rt=e-ti+7j+8tetk.

Q: f(t) = when 0 k

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Q: ||r'(t) × r"(t)|| ||r'(t)||³ Use the formula k(t) = to find «(t). r(t) = e""i+ e'j K(t) =

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Q: f. f(t) = eat cos² b t.

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: ||r(t) × r"(t)|| Use the formula k(t) to find k(t). ||r(t)||* (t) 3ti+ e-ti = e

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Q: Find a solution f(x) to the equation (D³ – D² + D – 1)f(x) = 0 | such that f(0) = 1, f'(0) = 0, ƒ(^)…

A: Use the given information.

Q: The population P (in thousands) of Montana in the years 2005 through 2015 can be modeled by P = 81…

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Q: The temperature T in degrees Fahrenheit t hours after 6 AM is given by T(t) = − 1/2 t 2 + 8t+ 3 for…

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Q: determine f(t). Q. f(t −3)=te−(t−3).

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Q: ||r'(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find k(t). 13 r(t) = t²i + t'"j K(t) =

A: Find k(t).

Q: Find r′(t). r(t) = 4√ti + t2√tj + ln t2k

A: we have been given that: r(t)=4ti+t2tj+lnt2k…

Q: Use the formula k(t) k(t) = = ||r' (t) x r"(t)|| ||r' (t) ||³ = 10t. r(t) = e¹0ti + e-tj to find…

A: We have to find k(t)

Q: when 0 k

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Q: Define T: P3 >P3 by T(p)=p(0) + p(e)t + p(0)t2-p(2) t³ Find T(p) for p(t)= 1 – t².

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Q: ||P(t) × r"(t)|| Use the formula «(t) to find x(t). r(t) = t²i + t³j K(t):

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Q: Q' (t) = (b) Find th

A: Note:- pound is also denotes by lbs.   Let Q(t) denote  the quantity (lbs) of salt at time t(min)…

Q: Use the formula к(t): k(t) ||r' (t) x r"(t)|| 3 ||r' (t)||³ r(t) = esti + e¯tj = to find (t). #1

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Q: Find r'(t) r(t) = e-ti + 5j + 4te'k r'(t) =

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Q: Write a in the form a = a-T + an N at t-0 for R(t) = t²i+

A: Given Rt¯=t2i+t+13t2j+t−13t2k We have to write a in the form a=aTT+aNN Since, Rt¯=t2,t+13t2,t−13t2…

Q: Calculate k(t) when r(t) = (1t, -2, 6t) K(t) =

A: Find the curvature

Q: iv) Find the value of ß such that P(T> B) = 0.01, where T = ₁Z₁² + ₁W₁²

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Q: The temperature T(°C) of a room at time t minutes is given by the formula below. T= 34 - 3/25 -t for…

A: The temperature T°C of a room at time t minutes is given by the formula below.…

Q: Determine h(t) given that h'(t) = t4 – t3 + t² + t – 1

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Q: Find r'(t) r(t) = e-i + 5j + 6te'k r'(t) =

A: The given function is rt=e-t i+5 j+6tet k.

Q: The temperature T, in degrees Fahrenheit, t hours after 6 AM is given by: T(t) = -t² 1 t2 + 8t + 32,…

A: The given function Tt=-12t2+8t+32 is a quadratic function because the highest power of variable term…

Q: For the following values of t, find (a) the reference number of t and (b) the terminal point…

A: i. Given, t=7π3 The reference number is, 7π3-2π=π3 This angle lies in first quadrant. In first…

Q: The traffic flow rate (cars per hour) across an intersection is r(t) is in hours, and t=0 is 6am.…

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Q: The population P (in thousands) of a certain city from 2000 through 2014 can be modeled by  P =…

A: We have to use the given value.

Q: JH is a midsegment of A KLM. Find the value of x.. M. 22 K

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Q: (c) Solve for t in the formula above to obtain a formula expressing t as a function of V.

A: Given V = 12.5 - 1.7 t V - 12.5 = -1.7 t

Q: ||r'(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find k(t). r(t) = e*i+e*j ,3t: K(t) =

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Q: |r'(t) × r"(t)|| Use the formula k(t) to find k(t). r(t) = ti+ t°j к()

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Q: Use the formula k(t) k(t) = ||r' (t) x r"(t)|| ||r' (t)||³ - r(t) = t²i+t³j to find k(t).

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Q: ||r'(t) × r"(t)|| Use the formula k(t) to find k(t). r(t) = e"i+ e¬'j K(t)

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Q: 2x1 Find the value of T such that P(Y > T) = 0.005, for Y = X3

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.