Find the critical numbers of the function. (Enter your answers as a comma-separated list.) g(t) = t√/16-t, t<15 t=

Q: Evaluate:L{1/4} = Blank 1 Blank 1 Add your answer

A: L{1/4} here we have to find laplace transform of 1/4 laplace transform of L(1) = 1/s   so for 1/4…

Q: Question Consider the function f(x) = . (z+9)(z-2) 2+3 What are the x-intercepts? Write your answer…

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Q: Use the Laplace transform to solve the following initial value problem: y' + 7y - 18y=0 y(0) = 1,…

A: As per guidelines, I can answer maximum three sub parts of a question. Since you have asked for…

Q: Consider the following function. f(x) = |x-7| Find the derivative from the left at x = 7. If it does…

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Q: ST sinx + 2 cos x dx

A: we have to evaluate the integral ∫0π sinx  + 2cosx dx

Q: Use the counting techniques. A bag contains three red marbles, three green ones, one fluorescent…

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Q: Find the derivative of the function by the limit process. f(x) - f'(x) =

A: The given function is f(x)=4x2We have to find the derivative of f(x).

Q: 28.y= I 4+4

A: We have to find derivative

Q: Problem #3: Consider the following statements. (1) Σ n=0 (-1)" 2n+1 X² (2n + 1)! = X- ∞ (iii) The…

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Q: Use the Laplace transform to solve the following initial value problem: y" +9y= cos(6t) y(0) = 0,…

A: given y''+9y=cos(6t) taking laplace on both sides  L{ y''+9y}=L{cos(6t)} L{y''}+L{9y}=L{cos(6t)}…

Q: Outside temperature over a day can be modelled as a sinusoidal function. Suppose you know the…

A: The general equation of function of temperature is given by÷ D=asin[bt-c]+d Now we need all the…

Q: A line drawn from the origin and forming the angle t with the x-axis intersects the unit circle at…

A: As we know that, cosθ=basehypotenusesinθ=perepndicularhypotenusetanθ=perepndicularbase

Q: Let h(x) a) On what intervals is h(x) increasing? b) On what intervals is h(x) decreasing? c) For…

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Q: Using De Moivre's formula demonstrate that sin(3x) = 3sinx − 4sin3x

A: Given that sin3x=3sinx-4sin^3x De moivres formula is (cos x+ i * sin x) ^ n = cos n*x+ i * sin n*x -…

Q: Find the work done by the force field F in moving an object from A to B. F(x, y) = 4y³/2 i + 6x√y j…

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Q: A tank initially holds 50 gal of a brine solution containing 2 Ib of salt. At t = 0 another brine…

A: Given data:- Volume of brine solution, Vo=50 gal Containing salt, a=2 At t=0 any Brine solution…

Q: Find a bound for the error when approximating the series Round your answer to six decimal places.…

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Q: to the graph above, which of the following statements is correct: x) changes sign from + to - x) > 0…

A: Topic:- calculus

Q: 2. π 2 cot x d

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Q: 1. Testing convergence for an alternating series. (a) Carefully determine the convergence of the…

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Q: Find all fourth roots of 1 in the complex numbers.

A: Let x be the fourth root of unity x=14 x4=1 x4-1=0 Equation 1

Q: 7. Find the absolute maximum and absolute minimum values of f(x)=2x-322/3 on the interval (-1,2]).

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Q: uppose that it snows in Greenland an average of once every What is the probability that it is…

A: Topic:- probability

Q: 24. g(t) = t³ + 4t

A: Solution: g(t)=t3+4t The derivative of g(t) with respect to t is defined as limh→0f(g+h)-f(g)h

Q: Where is f' = 0 ? at a What are the values in the closed interval [-1.2, 1.5] where f' undefined? at…

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. S² (t =…

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Q: 8. Prove: 2 1-tan x 1+tan²x cox2x.

A: (1-tan2x )/(1 +tan2x ) = cos2x here we have to compare the left hand side and right hand side apply…

Q: ---2 y=g(x) y=f(x) The graph of f is shown in red, and the graph of g is shown in blue. Use the…

A: Given,

Q: (1) f(x+4)² dx (3) ſ. x² dx x² - 4 (2) √ x²(x³ + 1)² dx (4) √x²0 x² cos 3x dx

A: The given integrals are;  1) (x+4)2 2)x2(x3+7)7 3)x2/(x2-4). Repost the 4th question.

Q: 2x-4 x²-4x+3 1. Express the function f(x) fractions. Find the interval of convergence. = as the sum…

A: Here, the given function is: f(x)=2x-4x2-4x+3

Q: 55. Find the area bounded by r = 4 sin 20 a. a. 4n square units b. 8n square units C d. 4 square…

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Q: Suppose at 10n and n(1) = -2. Answer the following. 8) Separate the differential equation, then…

A: Topic:- application of integration and differential equations     Note:- as per our guideline if…

Q: lim x 1 lim -x 1-x

A: topic:- calculus

Q: Find the complete solution of ey sin x dy cos²x = 0 dx

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Q: 400 - e 1 2x dx= dx, x < In 20 2x 400-e (Type an exact answer.)

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Q: Can you please specfically tell me what the two intercepts are.

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Q: Solve: y(1) Given: y" + y = k sin(kt), y(0)=6, y'(0) = 0, where k-sqrt(2)

A: y" + y = k sin(kt), y(0) = 6 y'(0) = 0, where k = sqrt(2)

Q: Find the critical numbers of the function. f(x) = 7x² - 4x Step 1 To find the critical numbers of f,…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Mia -Mark Settle a Dispute 1 0 -4 4 Mark thinks the equation y = 4* will match the solid graph. Mia…

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Q: Find the solution to the differential equation =(2x + y cos xy) dx + x cosxydy = 0

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Q: ow do you find the 70th derivative of f(x)=cos(x)

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Q: Evaluate: L Blank 1 5 {}} 5 Blank 1 Add your answer

A: As we know from the inverse Laplace property; L-1a·fs=a·L-1fs  ; where a is constant And…

Q: Find the curl of the vector field F. F(x,y,z) = x sin(y) i - y cos(x)j + 5yz² k Part 1 of 3 It is…

A: The objective is to find curl F.

Q: 4. Determine whether each series is convergent or divergent. If it is convergent, find its sum. 2) Σ…

A: The given series, a) ∑n=1∞3n-12n+1b) ∑n=1∞sin1nc) ∑n=0∞2n+15n

Q: Let f be the function defined by f(x) = sin 2x + cos 7x and let g be the function defined by g(u) =…

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Q: At what point on the curve x = (x, y) 6t² + 5, y = t³ - 2 does the tangent line have slope 11/22

A: This question is based on finding slope of parametric curve.

Q: 1. (2x^²+4x-3)abc 2x+4+2+C x

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Q: 2 f(t) = 2t² - 1, [3, 3.1] Compare this average rate of change with the instantaneous rates of…

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Q: Evaluate the following integral: sos X 1 +1 d dydx

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Q: Find the standard form of the equation of the ellipse and give the location of its foci. Ay 6 G Type…

A: Standard form of an ellipse : (x-h)2a2+(y-k)2b2=1 ; where , (h,k) is the center and a&gt;b .