2.8 S = | f(x)dx =?

Q: C. e3x dx

A: Given- ∫01e3xdx To Find- The value of the above definite integral.

Q: dx 9) Which is equal to ? 1+e* A. x+ inh + e*|+C x-mh + * + C C. iml + *" -x+C D. Inh -e*|-x+C В. х…

A: solution is given below

Q: Find dy for the given values of x and dx. y = x3 - 4x2 + 2x + 1; x = 8, dx = -0.3 O-37 O 39 O-39 O…

A:

Q: Using graph below, which of the following is the best estimate of o f(t) dt? 3 f (t) 9. Select one:…

A: Calculation of best estimate of given Integral.

Q: Evaluate the function: 1 dx a(1+x?) o -글n(1 + ) +C None of the choices. Please refer to my solution.…

A:

Q: Sx' Log, X dx For what values of p does al converge?

A:

Q: when step Qal Evaluate the x²+2Xy + y? dy dx Size of x=0,2 and step size of y= 0.5

A: We have to solve ∫01∫02(x2+2xy+y2)dydx Given step size of x = 0.2 and step size of y = 0.5

Q: Using the Trapezoidal Rule, an approximate value of 5 V(x + 3x)dx with 5 ordinates, correct to one…

A: Consider the given integral.

Q: (b) Find the value of e dx taking n = 6, correct to 5 significant figures by Simpson's one-third…

A: Find the value of ∫00.6 ex dx taking n =6 ,correct to 5 significant figures by Simpson's one-third…

Q: The temperature at time t hours is T(t) = −0.6t2 + 4t + 80 (for 0 ≤ t ≤ 12). Find the average…

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Q: For what value of c does dx 1? 10 X

A:

Q: (h) Find the value of r0.6 e*dx taking n= 6, correct to 5 significant figures by Simpson's one-third…

A: Given integral is                          ∫00.6exdx  ⋯⋯⋯⋯⋯ (1)  taking n=6, find the value of…

Q: auchy's m d g(x) = e %3D

A:

Q: Q.41 The value of the quantity P, where P = | xe*dx, is equal to

A:

Q: 2. Find ( +x) dx, where B> 3. 27 a) 2 2 b) В2 + В— 12 27 c) 1 1 3 d) 12 – B² – B e) None of the…

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Q: Q4: Find integration for the following functions: - a- S 3ln²x dx

A:

Q: The table on the right represents selected values of f(x). (Note: Ar is not constant.) 6. 8. S(x) 1…

A: We have to find integration of given function by using trapezoidal rule

Q: 6.S dx √1+√√x

A:

Q: 15 determine the value of the constant p where p> 0. (b) Given dx %3D

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Q: 4.2 Apply the appropriate method to calculate the following: x5+ I = S = s** dx x2 -4

A: Given  I=∫x5+x4-8x2-4 dx

Q: 02 Evaluate J = S, e-2x*dx with (n values mentioned in the following for each student) by two…

A:

Q: QI/ Find G.S for following D.E (4x- 2y+2) dx -(2x-4y+2) dy 0 12

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Q: The spread of a virus is modeled by V (t) = -t³ + t2 + 12t, where V(t) is the number of people (in…

A:

Q: Complete the evaluation of V4 x make sure to express your answer in dx in Example 2; terms of x.

A: Consider the provided integral, ∫x24-x6dx Solve the above integral and write down the answer in term…

Q: = For a given table 2 5 8 11 13 18 y 4 8 d' (a) Find the value of - dx at x=2 and x= 8 using forward…

A:

Q: calculate SN given by Simpson’s Rule for the value of N indicated.

A: The formula for Simpson's rule is given by ∫abf(x)dx≈∆x3f(x0)+4f(x1)+2f(x2)+4f(x3)+f(x4). To find…

Q: r1.25 x2 dx with h=0.25. 1+x3 Using numerical methods find the value of

A:

Q: Use differentials and the graph of f to approximate the following. (Round your answers to three…

A: From the given graph, we find the values f(1.8) and f(2.08)

Q: x+

A: We find solution of exact differential equation

Q: Q.41 The value of the quantity P, where P = |xe*dx, is equal to

A: To find the value of the quantity P, where P=∫01 xex dx.

Q: 1 dx is 4 x2 The value of (V

A:

Q: Calculate SN given by Simpson's Rule for the value of N = 6. dx x4 + 3 (Round your answer to five…

A: To evaluate ∫36dxx4+3 using Simpson's Rule for the value N=6 Simpson's rule formula is: ∫abf(x)…

Q: How do you solve.  The question is... Assuming x and y are functions of t.  What is dy/dx for each?…

A: Given information:The given function is 2xy – 5x + 3y3 = –51.Both x and y are functions are t.The…

Q: d'y from the following: 3x-2 Let y = Identify the value of (x-1)² * dx? 3x (x+1)* 6x (x-1)4 6x…

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Q: d'y and dx? dy 8) At which of the 5 points on the graph in the figure below are dx both negative?…

A: Points B and C which satisfy both the condition

Q: 4. Find the general solution for the DE below: a) = x b)= 3r²-1 dx 2s

A: Seperate the Variables before applying the integral.

Q: 2. S x?e dx = Note: no decimal answers are allowed and please show your work.

A:

Q: e function W(t) 0.21 - .0011? = e If the m a'(t) Round to the nearest vear

A: Given is the function w(t)=e0.2t-0.001t2 W(t) will attain its maximum when the expression…

Q: L{t H (t-T)} 1+Ts TS e s2 TS 1+T e s2 -TS e s2

A:

Q: + k?y = 0 dx2 What type of D.E. is this?

A:

Q: 1 If the approximate value of dx is 0.2178 by Trapezoidal rule, then the error is 5x+7 а. 0 b. 0.369…

A: We will find error by finding the difference between exact value found by integration and…

Q: 35. Find a value of the constant k so that kx²y dx dy = 1.

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Q: ..... Q.5 Show that s! dx= 2a"

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Q: 4 S X the condition that the error for Trapezoidal Rule will be at most 10-6. 9. Given: dx.…

A: The error bound for the Trapezoidal rule is given by the formula E≤b-a312n2maxf''x where a is the…

Q: Using graph below, which of the following is the best estimate of 6 f (t) dt? 3 f(t) 9. Select one:…

A:

Q: Find the value of 'n' in evaluating " e- dx with 'h' value 0.7 ? None 20 2.0 10

A:

Q: 2. Determine the Absolute Extrema values for g(t) = 3t3 – 22.5t2 – 216t + 5 on [-4,10 ].

A: Differentiate w.r.t to t

Q: 3. Show your complete SOLUTION AND FINAL ANSWER on the given functions. 1.f x³ dx

A:

Q: f(t) = e-t sinh(5t) s2+25 s+1 s2+28+26 g2 +25 s2+28+26

A: Given function is f(t) = e-tsinh(5t)

Q: Suppose that an object moves along an s-axis so that it's location is given by s(t)=t^2+7t at time…

A:

Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.