ind the constants A and B such that y(x) = Ae¯ to the IVP y" + 5y + 6y y (0) = 1 y' (0) = 16. = + Be + 2 cos(2x) +1 104 cos(2x)

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A: This question can be solved using the concept of planes in three dinesional geometry

Q: (a) Find the average rate of change in f(x) from: (i) x = 0 to x = 2 (ii) x=-3 to x = 1

A: As per the instruction, we will be answering the first question. Given: For (a), The average rate…

Q: Problem 2.4: Find the G.S. of the 2nd-order DE Hint: You may like a substitution u = xy" + 3y' = 7x6…

A:

Q: Question 5 An n-th order differential equation usually contains n arbitrary constants. O True O…

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A:

Q: 66. The Rule of 70 A well-known rule in the world of finance is that an annual interest rate of R%…

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A:

Q: 1 cos(4(1.001)-4) 2((1.001)-1)

A:

Q: Evaluate the integral. (Give your answer using component form or standard basis vectors. Express…

A: Given

Q: sing the E, & definition.

A: Limx-3(x2+2x-1)=14.

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A:

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Q: View Policies Current Attempt in Progress World population¹ is about P = = 7.68(1.0103), with P in…

A: Given: P = 7.68(1.0103)t billions t is number of years since 2020

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A: Given problem:- Express C2 in the form of nCr.

Q: x-x

A: we will  show the required limit.

Q: For the differential equation given below, dependent variable. L d²q dq +R- + dt2 dt 1 is the…

A: The given differential equation is: Ld2qdt2+Rdqdt+1Cq=E

Q: 25. Στη n=1

A:

Q: differential equation: families of curves the given is, the trisectrices of maclaurin y^2 (a+x) =…

A: The given equation is; y2(a+x)=x2(3a-x).

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A: Here we have to find the base of ln.

Q: 3. Verify if y=2x-3 is a solution to y'-y-3 = -2x+5.

A:

Q: 10. Determine the value of x in the figure below. Round your answer to two decimal places. 115 56°…

A:

Q: lim = (5(x² - 1)² – 10) X-2

A: Topic = Limits

Q: Eliminate the constant: 3r y=c₁₂e²²+c₁₂e² Oy"+y'-6y=0 Oy"+ 5y¹+6y=0 Oy"-5y¹+6y=0 Oy"-y'-6y=0

A:

Q: Evaluate the integrals (5) (6) (7) f cos2x sin²x dx tan’xsec’xdo f tan³x sec5x dx

A: Here we have to integrate the given function

Q: Given the table below: -4 -2 -1 1 9 7 5 g(x) 10 9 3 4 I Evaluate ()-[ (4) 9 -3 Check Answer 0 2 6 2…

A:

Q: Let f be the function given by f (x) = 5x³ - 3x - 7. What is the value of f' (-2) ? B D -114 17 50…

A: SOLUTION-

Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

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Q: Find a nonzero vector parallel to the line of intersection of the two planes −(3x+5y)=1−(3x+5y)=1…

A:

Q: Plot the point with spherical coordinates (2, -5pi/6, pi/6) and describe its location in both…

A: The objective is to plot the point with spherical coordinates 2,-5π6,π6 and describe its location in…

Q: What is the closed form for the sequence (bn) that has the first four terms -16,64,-256,1024

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Q: You can use the Law of Cosines (see Figure 3.41) to find an equation that relates and 0. Figure 3.41…

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) t²-t-20 lim t-5 t-5 X

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Q: S2 cos (w - Sec W tan (w) dw

A:

Q: 6. Let a be a number written (in base 10) as ao 10⁰+ a₁ 10¹ + a₂. 10²+...+an. 10" where 0 ≤a < 10.…

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Q: Q.1.A: Find the domain and range of each function (choose only two) G(t)= F(t)=

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A: We have to determine the work done by constant force.

Q: In Exercises 13-16, use the following information to deter- mine the limit of the given sequences.…

A: NOTE: Refresh your page if you can't see any equations. . the given sequence is find the limit of…

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Q: 3 a) The displacement (in meters) of an object moving in a straight line is give by s(t) = 1+2t…

A: Given The displacement of an object  st=1+2t+14t2

Q: 2. Let a = -784° a. Find an angle coterminal to a such that 0≤ 0 < 360° b. Find the reference angle…

A: To find out the coterminal angle.

Q: Evaluate the general solution of y""=e4x + sinx

A:

Q: Identify whether the limits of the following does exist or not. If yes, find the limit and if not,…

A: Let's find limit by tabular method.

Q: Given f(x), find g(x) and h(x) such that f(x) = g(h(x)) and neither g(x) nor h(x) is solely x. f(x)…

A: The function is given by fx = 5x2-13-2 To determine: The expression of gx and hx such that fx = ghx.

Q: Use the graph of the function f to state the value of each limit, if it exis f(x)=x√9+x=² (a) lim…

A: Given: The given function fx=x9+x-2 To find the following limits using the graph of the function, a)…

Q: Find the solution of the differential equation r" (t) = (e-9,² – 1, 1) with the initial conditions…

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Q: Evaluate the second derivative of the function at the given point. Use a computer algebra system to…

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Q: Q4/An armed paratrooper weighing 320 lbs. jumped with initial velocity from an airplane at an…

A: Solution

Q: List the points in the graph at which the function is not differentiable. Hom X₁ X₂ X3 X4 X5 Select…

A: