If g(x) = f* √u² + 2 du, what is d²g / dx²? 0

Q: 20. The widths (in meters) of a kidney-shaped swimming pool were measured at 2-meter intervals as…

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Q: Determine whether the series given by Σ±% (-3) k+1 (-3)*+¹

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Q: Find f(a), f(a+h), and the difference quotient f(a+h)-f(a), where h * 0. h f(x) = 4 - 2x + 7x² f(a)…

A: Let's find all given function value.

Q: Use reference angles to evaluate sec Enter the exact answers. For the number 7, either choose from…

A: Given query is to find the value of the expression.

Q: (b) Given the graph of f (x) below (blue), select the correct graph of the transformation y = 2f (x)…

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Q: For a given commodity and pure competition, the number of units produced and the price per unit are…

A: Let's find consumer surplus and producer surplus.

Q: Inverse Laplace transform, 1 (s²+1)(s-3) x^₁ { = Select one: True O False Give your reasons cos(t)…

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Q: Let y(t) be the solution to Use Euler's Method with time step ntn 00 10.2 20.4 30.6 40.8 51.0 Yn 2…

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Q: Could you find the equation of the graph?

A: A logarithmic graph is given and we have to find its equation.

Q: Determine the slant asymptote of the graph of f(x)= x²-8x+14 x-3 Write your answer in the format y =…

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Q: Differentiate the function. g'(x) = g(x) = In(xe−8x)

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Q: Use mathematical induction to prove that the statement is true for every positive integer n. 4+1-4 3…

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Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A: Please see the below picture for detailed solution.

Q: Find the slope of the tangent line to the curve x=t+ 1, y=2t² + t -1 at t= 1.

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Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integ n.…

A: Here we have to calculate the I=∫043+x dx, n=8

Q: Question The Laplace transform of the function f(t)= e 2t+2t4 is L {f(t)} = Select one: O True O…

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Q: Use the Divergence Theorem to calculate the flux of F across S, where F = zi+yj + zxk and S is the…

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Q: Let F(s) = L-¹{F(s)} = ? 1 f(t) = e-8 tsin(√7t) √7 f(t)=e8tsin(√7t) O O f(t) = e 1 s²+16 s+71 -8 t…

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Q: Solve the equation dy 2y² S 3ry

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with  so here…

Q: If sec(a) O 4/6 6/4 = 250 88 88 13 find the value of cot(a) where a terminates in the first…

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Q: Find dy/dx. x=tsin(t), y = t² + 5t

A: SOLUTION-

Q: The differential equation below models the temperature of a 87°C cup of coffee in a 23°C room, where…

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

Q: Find the average value of f on [0, 8]. YA 1 0 2 4 6 X

A: Given :- Find the average value of f on [0,8].

Q: 18 Find the Equation for the Graph of a Logarithmic Function 10 (-20,-5) Previous 101

A: I have solved step by step in detail...go through the solution

Q: 7s +5 s² + 25 Is true or false? Select one: O True O False Give your reasons } = 7 cos (5t) + sin…

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Q: mpute the following integrals using suitable method. [xy dxdy, where R is theregion bounded by y=1,…

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Q: Vectors are shown in the graph. n Or O q Ou 7 n 60 5 3 2 1 T -2 P XX u S ? 1 2 3 Which of the…

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Q: Determine the general solution of the DE y (4) + 3y – 4y = Ⓒy=c₁e*cosx+c₂e y=ce*cosx+c,e=*sinx -X -X…

A: given   y(4)+3y''-4yput  d=d dx(d4+3d2-4)y=0for auxilary reuation put d=m and y=1

Q: All of the functions below are invertible, except for one of them. Find the function that is not an…

A: a function is invertible only if each input has a unique output.

Q: Sketch the region R and compute ff 2xdxdy, where R is the region bounded by x = y² and (x-1)² + y² =…

A: To find:- ∬R2xdxdy Where R is the region bounded by x=y2, x-12+y2=1

Q: 3. Write 2.734234 = 2.734234234... as an improper fraction.

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Q: An oil storage tank ruptures at time t = 0 and oil leaks from the tank at a rate of r(t) =…

A: given  rate  r(t)=120e-0.02t∫eatdt=eata+c

Q: Find the average rate of change of the function over the given interval. P(0)=03-202+60; [1,2] ΔΡ ΔΘ…

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Q: 10) Does the sequence an = √n² + 3n - n converge or diverge? Explain

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Q: The Laplace Transform of is Select one: O None of these. O F(s) = O F(s): O = F(s) = f(t) =…

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Q: X √4- 4+3x² -dx

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Q: Consider the following functions. f(x) = x², g(x)=√x-7 Find (fog)(x).

A: Given,            fx=x2 , gx=x-7

Q: Solve the initial value problem dy € + ² = 5x√ỹ, _y(1) = 2.

A: standard form is dydx+p(x)y=q(x)given  dydx+yx=5xydivide by y  both sides 1ydydx+1x×yy=5xwe know…

Q: Find the derivative of the function g(x) = g'(x)= = e² 4 - 2x

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Q: Find the area of the surface generated when y = 2√x from 1 ≤ x ≤ 4 is rotated around the x-axis.

A: We are required to find the area of the surface generated when y=2x is rotated around the x axis…

Q: What are the magnitude and direction of w = (-10, -12)? Round your answer to the thousandths place.…

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Q: Find the derivative of the function. y' = an−¹(x - √√₁+x²) 2 1 y = 5 tan

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Q: 2. Find an equation for the tangent line to the cycloid z = =e+3, y = 1²e-3e + 2 at the point where…

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Q: Use geometry to evaluate the following integral. 5 frixe 1 f(x)dx, where f(x) = 2x if 1≤x≤2 6-2x if…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  first we need to…

Q: sing the method of variation of parameters to olve the nonhomogeneous DE: y" + 6y + 25y = 7+ 2x² we…

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Q: 1. Given the equation y = -7cos(4x + 20), find the following: (write the answers here and on paper)…

A: To solve the following problem and find the following things

Q: A sailboat is sailing on a lake with a constant speed of 10 miles per hour. At noon, the sailboat is…

A: given  (1) speed of the sailboat = 10 miles/hr. (2) If at noon, t = 0, Then, at t = 0, the…

Q: Use trigonometric substitution to evaluate the integral (a) arcsin(r)+C 9x 9 - x² √9-x² (b) 9x + C…

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Q: 13) y = [X²+2x-1'; dy = ? A) X+ Xt y B) 4y (x+1) (XH) (x²+2x-1) 3/2 D) - () ㅗ 2\x²2x-1

A: Question number 13 solved