Find the absolute maximum and minimum values of the function over the indicated interval, and indicate the x-values at which they occur. f(x)=x²-8x-3; [0,6]

Q: Q3: a\ A triangle whose vertices are A = (-1,0), B = (2, 1), and C = (1, -2), find:

A: Solution

Q: Find the inverse Laplace transform of F(s) f(t) f(t) = f(t) = f(t) = = f(t) = 37 8 43 8 43 8 37 8 37…

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Q: 7. Choose the appropriate table for the differential equation X y ଶ୪ X y dx X Y -201 -4 1 2 2 -1 -1…

A: The solution is given below

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Q: Find the Laplace transform of the function: O O O : ²2² (2²/1 + ² ) L(s) = e²s 2 0-²₁ (²/17 - 1²/7)…

A: To find the Laplace transform of the function: ft=0,      t<2t2-4t+6,     t≥2

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A: Given problem:- Verify that Rolle's Theorem can be applied to the function fx=x3 - 11x2 +38x - 40on…

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

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A: Given P=50000$ After t=15 yrs A= 1,67,325.68$ Formula A=Pert

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Q: Drag the points to sketch the graph of the given function. Determine whether f is continuous,…

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Q: Σ 500(1.07)" ΕΞΟ

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Q: Find the interval of convergence of the following power series. (x + 10) n η 8η 01-00,00) O(-18, -2]…

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Q: object from v? If yes, explain how would you recover s. If not, what other information are we…

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Q: Refer to the model Q(t)=Qe -0.000121/ used for radiocarbon dating. At an archeological site,…

A: As per guidelines we must answer only one of the multiple questions given. So, I answer only the…

Q: Consider the function f(x) = 3x³-36x on the interval [-3, 1] Find the absolute extrema for the…

A: We will find the solution

Q: Q1: Solve Ine+4-210x=logo 100 for x a) x=1 b)x=0 c)x=(1,-1) 07 If (()=x² (2 Inx-3) Find f'(x)

A: Solve lne+4-2log4x=1xlog10100 solve for x

Q: Function f(x) Derivative f'(x) et aª In(x) Function f(x) Integral f f(x)dx 66

A: Topic = Derivative & Integration As per guidelines , At a time only three su-parts of a question…

Q: Q1: Solve Ine +4-2= log10 100 for x b)x=0 a) x=1 c)x=(1,-1) Q2. If f(x)=x (2 Inx-3) Find f'(x) a)…

A:

Q: Question Given f(x) = lim h→0 1 x +4' write a limit representing the derivative of f(x) at x = −3.…

A: To write the limit representing  the derivative of f(x) at x=-3.

Q: Use implicit differentiation to find y² + 8x³ = 3y - 4x² dy dr

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim (e³ti+ sin(4t)j + e-6tk…

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Q: Find the area of the region common to the circles r=-6 sin 9 and r= 3.

A: answer is in next step. please give a like !!

Q: The graph of f(x) is shown (see figure). 5x √2+7 (a) Find the following limits. Llim f(x)= 5 K- lim…

A: We have to determine x1, x2 , M and N.

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A: We know that, Concavity relates to rate of change of the derivative of the function. Graphically, a…

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A: We can find the required answer as below.

Q: Find the polar equation for the Cartesian curve x² - y² = √√x² + y².

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Q: press -2√3-2i in the form ree with 0 ≤ 0 < 2T. 4e 3 4e 6 4e 2 i -2 4e +i 4e Fi

A: Given the query is express the complex number in the Indicated form.

Q: 2 Verify that the Mean Value Theorem can be applied to the function f(x) = x 3 on the interval [0,…

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Q: Find the standard form of the equation of the ellipse with the given characteristics. Center: (1,…

A: This question can be solved using the concept of standard form of  equation of ellipse.

Q: Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then…

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Q: =P ( 1 + 2 ) " ₁ ~ , where A is the future value of P dollars invested at interest rate compounded…

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = xªcos x, n = 2, C = T

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Q: Find the value of the derivative (if it exists) at the given extremum. (If an answer does not exist,…

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Q: Find the slope of the tangent line to the curve - 3x² – 3xy - 4y³ = 265 at the point (1,4).

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Q: Answer true or false. If f is not plecewise continuous on [0, 00>), then {f(t)} will not exist. O…

A: Note that, L{f(t)}=F(s)=∫0∞e-stf(t) dt...(1)

Q: 12. Find the directional derivative of f(x, y, z)=zy+yz+xzat (1, 1, 2) in the direction of u =…

A: We can find the directional derivative in the following steps.

Q: Use the Second Fundamental Theorem of Calculus to find F"(x). F(x)= •Live+sa F(x)= x

A:

Q: Find the centroid of the region bounded by the given curves. x + y = 30, y = 0 1) y = x³, x+y= (x,…

A: Given y=x3 x+y=30 and y=0

Q: (22) Graph f(x) = e. (23) Let f(x) = e. Then, it is an • limx→∞ f (x) = and lim (24) Find lim, f(x)…

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Q: Compute the values of dy and Ay for the function ye3x + 3x given x = 0 and Ax dx = 0.02. Round your…

A: Given y=e3x+3x x=0 and ∆x=dx=0.02

Q: This question has several parts that must be completed sequentially. If you skip a part of the…

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Q: Determine whether the series is convergent or divergent by expressing Sn as a telescoping sum. If it…

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Q: Use the Laplace transform to solve the given initial-value problem. 2t y" - 3y' = 8e²t - 2e-t, y(0)…

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Q: Write the first five terms of the geometric sequence. a₁ = 2, r = n a1 a2 N 33 24 a5 = = = =

A: Solution of given question is written in below steps.

Q: MTH 32 (13) Define the Inverse Tangent function (or the art and explain the --- MTH 32 (8) For b> 1,…

A: 8. As per Bartleby guidelines for more than one question asked only one is to be answered please…

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: