If the Wronskian W of f and g is 3e^(4t), and f(t) = e^(2t), find g(t)

Q: 4. Give an example and a proof to not increase intrinsic distance.

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Q: Find the orthogonal trajectories of the family of curv

A: In this question we will use basic of calculus i.e concept of orthogonal trajectory. We will simply…

Q: ) Use integration by parts to verify the reduction cosxsin x n-1 Scos" xdx=!

A: Here I=∫cosndx ⇒I=∫cosn-1x×cosx dx using integration by part;

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Q: What must be the measure of ZX in order for ARST to be similar to AxYZ?

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Q: The integration expression Jsin(3In(x)+ 4)cos(3In(x) + 4)dx must be transformed into using suitable…

A:

Q: Estimate the area under the graph of f(x) = 4 over the interval [2, 5] using five approxima %3D…

A: Given: f(x)=4x

Q: y = - x2 - 6x - 3, y = - x2 - 8x – 13, x = -5, x = -2 are bounded. Determine its area.

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Q: Use a linear approximation to estimate v100.5. Show your work.

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Q: Suppose you want to prove that ARST Theorem. If you know that ZR = LX, what else do you need to…

A: In ∆RST  &  ∆XYZ, ∠R≅∠X.

Q: By using integration parts, show that . [In x)²dx = x(ln x)² – 2x In x + 2x + C

A: We are asked to find the integral.

Q: Prove: cosh 3x = 4cosh'x- 3 cosh x %3D

A: We will solve the following.

Q: nich integral represents the length of the graph of y = In(1 – x²) over the interval [0, ]:

A: here option A is true because length is given by =1+(dydx)2dx so here…

Q: Construct an example of an non-homogeneous ODE that cannot be solved using method of undetermined…

A:

Q: How many days would a 67-unit construction activity lasts if this activity have a parameter of…

A: The activity has a parameter of 0.9 man hours per unit.To Find: In how many days the activity will…

Q: 19. Give the midpoint approximation of xdx with n = 2.

A: Here, to approximate the given integral ∫04x3dx  using midpoint approximation with n=2. Let, f(x)=x3…

Q: Give a detailed numerical example of the Aitken approximation method.

A: I have provided the solution with one example

Q: The integration expression sin(3In(x)+ 4)cos(3ln(x)+ 4)dx must be transformed into using suitable…

A:

Q: Find the Integration of: f(3sin t + esin ty cost dt In 3

A: we have to integrate the following

Q: у" - In x

A: Given: y''=lnx

Q: Use integral tables to evaluate. 1 dx; x> 3. 2xV9x -1

A: The following integral: ∫32x9x2-1dx; x>13.

Q: use simpson's rule to estimate 1/8ex2dx with a maximum error of 0.1. the integral limits are 0,2

A: Given function is: 18ex2 Given integral limits are: 0,2

Q: Prove: cosh 3x = 4 cosh° x x-3cosh.x

A: Prove that :- cosh 3x=4cosh3 x-3cosh x

Q: Suppose that an initially full hemispherical water tank of radius 1 m has its flat side as its…

A: Given:

Q: 4х, th dt Vhat is the

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Q: Find 2. dy of 2.

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Q: (Set upintegrd for th velume ceboud X- -I y. x2 and

A: I use shell method to find volume about line x= -1

Q: -f integration for

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Q: Use forward, backward and centered difference approximations to estimate the first derivate of: tx)…

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Q: the rate at which the total average number of COVID cases is increasing at x = 10 tents and 4 = 1…

A: Given, Illustration: x=10 tentsdxdt=1 tent per day Let, a be the number of additional tents and y…

Q: The City Council proposed to utilize government-owned land with an area of 21,600 square meters.…

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Q: Use either (3) or (8) in Section 8.6 to find upper bounds for the error in approximating dx by the…

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Q: Prove that the arc y = log secx from les (2+ 3

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Q: Hiwiy Express the ballowsing functions by Palar equationft 2.

A: To change a rectangular equation to a polar equation just replace x with (r cos θ ) and y with  (r…

Q: Evaluate the integral. cost dt

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Q: Compute the integral by the adaptive trapezoidal quadrature method (must use the recursive for-…

A: Given that ∫-22x-13dx by using trapezoidal quadrature h=0.5 x -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 y…

Q: The area of the region bounded by the function f(x) = + 3, lines x = −2, x = 2 and the x — axis is…

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Q: Calculate •3 2x -dx et – 1 - -3 by Gaussian quadrature with n = 3.

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Q: Find the image of the point (-2,4) under the compression with factor ½ in the y-direction. O (-1,2)…

A: The point is -2, 4To find the image of point under the compression with factor 12 in y-direction

Q: What is the number of derangements D4 of the set {1, 2, 3, 4}? (Give the exact

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Q: Estimate the In (1.1) and sec (0.1) Using a linear approximation and without using any kind of…

A: f(x)=ln(x) f'(x)=1/x f(1)=ln(1)=0 f'(1)=1/1=1 linear approximation is then L(x)=f(a)+(x-a)f'(a)…

Q: What is the Fourier transform of the one-dimensional rect function rect(x) = 1, for |x| |x|…

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Q: 7. Find the first 2 iterations for the root of f(x) = x- cosx by the Secant method on [0,1.

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Q: 2. By using Simpson's rule with N = 4 , 8 , and 16 Integrate the following functions

A: Hello. Since your question has multiple sub-parts, we will solve the first parts for you. If you…

Q: Consider that two students (Student A and Student B) are working on a joint project. Each student…

A: Effort Level is given by ei=0,1,2 for i=A,B Denote Emin.=min.eA,eB   Grading Scale is given by :…

Q: The integration expression sin(3In(x)+ 4)cos(3ln(x) + 4)dx must be transformed into using suitable…

A:

Q: 1 lim, „(e* + x)÷ +00

A: Explained below

Q: Compute integral x^2cos(x^3+3) dx

A: Given : ∫x2cosx3 + 3dx

Q: Find the orthogonal trajectories of the functen X + ce-X which is . passing Thieugh (-2.0)

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Q: 5.If the tangent 1ine to the functlen fx)= axt-6x at X=- has the equatfon. y= 3x+2then 6=?

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.