Using the u-substitution, u = x + 2, identify f such that the integral [TVT [ f(u) x + 2 dx, takes the form f(u) = S f(u) du.

Q: F (7) Solve the Laplace do not the following initial value problem using Transform. Alternate wonk.…

A: The given equation is; X''-X'-12X=0, X(0)=0, X'(0)=35

Q: Compute the Wronskian of a set of functions W(x) {y₁, y2} = {e cos (√x), eª sin(√x)}

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Q: Solve the following differential equations of

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Q: 8.a) For the function f(x) = cosx, find the Taylor polynomial of degree 4 centered at 0.

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Q: find the radius of convergence. α) Σπχ" n=0 b Σπχ" n n=0 lim I en Cent R = lim | ²n M-300

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Q: Consider the vector field F = S.F Evaluate F. dr along the curve C: π r(t) = 2 cos(t)i +2 sin(t)j,…

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Q: 1. A segment of a circle is defined as a region bounded by a minor arc and the chord of the arc.…

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Q: .Jeremy bought x pounds of peanuts for $4.50 per pound and y pounds of cashews for $7.05 per pound…

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Q: Solve y"+2y+10y = 0, y(0) = 2, y'(0) = 7 y(t) =

A: We have differential equationy"+2y'+10y=0, y(0)= 2, y'(0)=7We have to find y(t)

Q: At noon, ship A is 40 nautical miles due west of ship B. Ship A is sailing west at 18 knots and ship…

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Q: Use undetermined coefficients to find the particular solution to y"-2y-15y = 2e-3t Y(t) =

A: The given differential equation is

Q: show all work

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Q: Estimate the area under the graph of f(x)=2x² - 4x + 5 over the interval [0, 6] using eight…

A: find the area under the graph  over the interval

Q: 145 Q1 Find the area bounded by x=2, y=0 and y=x2 in form of: a) Area= ff dx dy b) Area=ff dy dx

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Q: n a limit question involving epsilon (E) and delta the value of E ... please select correct option…

A: In a limit question involving epsilon (E) and delta the value of E ...

Q: What hap f(n

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Q: 2 b.) f/dx x2 ول

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Q: π/2 Ă π/4 7x csc²(x) dx

A: To evaluate the following integral.

Q: Find the function value. f(x) O = x2+7 x + 6x 2300 11 23 88 -; f(4)

A: We have :f(x)= (x2+7)/(x3+6x), We have to find f(4)Also given:f(x)=4-6x2We have to find f(-7)

Q: Lrds x dy + y dx, where C is the arc of the curve с y = e for 0 ≤ x ≤ 6 Find

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Q: Sit/ If r(t) = cos(t-1) i + sin (t-1) jitzo Does the particle have constant speed? If so, what is…

A: given position vector is

Q: 2. f(x) = x³ between x = 0 and x = 1.

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Q: graph in polar using: 1.symmetry about origin 2.symmetry about x-axis 3.symmetry about y-axis…

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Q: let f(x) =x2-4 , g(x)=x3, and F(x)=1/(x-3). simplify or evaluate the following A) F(F(x)) B)…

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Q: d x √-Lnx by special Functions Error or Gamma or = Beta or Q-function

A: To evaluate the integral

Q: Use undetermined coefficients to find the particular solution to y"+9y+20y = e¯³(-47 — 60x) - Yp(x)…

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

Q: (a) Set up an integral for the volume a solid torus (the donut-shaped solid shown in the figure)…

A: a=5 and b=6

Q: Use the graph of the function y=f(x) below to answer the questions. (a) Is f(-3) negative? O Yes O…

A: The given graph

Q: I'm having issues finding the range I know I should know this but brain isn't working

A: Range of a function y=f(x) is the set of all possible values of y for the values of Domain x. I,e.…

Q: dy Find for the following integral. dx y= 0 S COS X dt 11-1² 0 < X <T

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Q: 1) Find the length of the curve? X = y 3 + 4y from y = 1 to y = 3

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Q: The graph shows g(x), which is a translation of f(x) = |x]. Write the function rule for g(x). 104…

A: We find the function g(x) from the following graph

Q: The graph of y=f(x) is shown below. Draw the graph of y=f(x). dr + X

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Q: The area bounded by y = f(x) and the curve 2 y=- where f is a continuous function satisfying 1 + x²…

A: We need to find area bounded by the curve.

Q: A tank is full of water. Find the work W required to pump the water out of the spout. (Use 9.8 for g…

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Q: Show that P2(x) = f(a) + f'(a)(x − a) + c2(x − a)2 for each value of c2 satisfies the requirements…

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Q: Convert the Cartesian coordinate (-6, 2) to polar coordinates, with 0 ≤ 0 0 r = 2√10 = 1.89 X

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Q: The graph of y= f(t)dt, where f is a piecewise constant function, is shown here. (a) Over which…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Compute the indefinite integrale -5x dx Enter an exact answer. Include a multiplication sign between…

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Q: use shifting and scaling to graph  f(x)=(x-2)^2+1

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Q: Find the curl of the vector field F =< yx5, xz², zyб curl F = i + 1:0 12

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Q: Suppose an = -3an-1 a1 = a2 = a3 = 2an-2+ 6an-3 and a4 = -17, a5 = 53, and a = -167. Find a₁, 92,…

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Q: Compute the Wronskian of a set of functions, for x > 0 W(x) {Y₁, Y2} = {x ln x, x² ln x}

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Q: Solve the initial value problem: y'-4y = 0 y (2) = 10

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Q: Find the indefinite integral. Include a multiplication sign between functions. For example, z. e². |…

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Q: Estimate the area under the graph of f(x) = approximating rectangles and right endpoints. R₂ = 1 x +…

A: we have given funciton , over the interval [1,6]

Q: Write down the first five terms of the following recursively defined sequence. a₁ = 5; an+1 = -2an 4…

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Q: When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are…

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Q: 4- Use the series to evaluate lim x-0 ex-(1+x) x²

A: By using the series to evaluate the following limit.

Q: Q3/ A: Find General Solutions for the following Differential Differential Operators). (D² - 4D + 4)y…

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