Use Euler's modified formula to find an approximate value of y whenx = 0.3, given that = x+y and y(0) = 1. %3D dx

Q: dx 3 x + x

A:

Q: Evaluate: - / (e* -e*)dx e ¯X+C 2 A | B) None cosh x +C 1 - sinh x +C 2 D E sinh x +C F -cosh x + C…

A:

Q: In(x) yミx"()

A:

Q: solve D.E. by using separable of variable dy 1 V2xy dx

A:

Q: (e) [ a +hm (1+lnt) t ln t dt 2.

A: Using substitution tlnt = x

Q: Find the antiderivatives of e* sin x. 3.

A: Consider the given function.The given function is,

Q: [(e+1)?dx is equal to * The

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: Choose the correct answer for the following integration e2 dx 2х (In x)3 (A) e (B) -3 (C) (D) 8. (E)…

A: Given integral,

Q: Determine whether the following statement is true or false, and explain why.

A: According to properties of integration, if course of integral is changed with respect to limit also,…

Q: Simplify the expression shown.

A: Given:

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

A:

Q: Solve the differeņtial equation dy хе %3D dx

A: Given, The differential equation  dydx=xey  We have to solve the differential equation.

Q: d'y Find the second derivative, dz? where y is related to z implicitly by the equation below. 2² –…

A:

Q: Solve the following problem Pu + dx2 = 0, 0 < x < L, 0 < y < H ду? ди ди (0, y) = 0, (L, y) = 0, dx…

A:

Q: Find dy/dx by differentiating implicitly. When applicable, express the result in terms of x and y.…

A:

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

A:

Q: dx a(1+x?)

A:

Q: Use the trapezium rule, with 4 strips, to estimate ? e−x2 dx on [0, 2]. What is the maximum error?…

A:

Q: 33 e dx ly

A:

Q: Use Romberg's method to compute dx 1+x? correct to 4 decimal places by taking h= 0.5,0.25 and 0.125.

A: AS PER OUR GUIDELINE WE ARE SUPPOSED TO ANSWER ONLY ONE QUESTION. KINDLY REPOST OTHER QUESTION AS…

Q: Given x = 6 ln(t) and y = 36 t² then find dy dx dx?

A: Let x = 6 ln(t) and y=36t2 Differentiate x with respect to t dxdt=ddt6 ln(t)=6ddtln(t)=6·1tdxdt=6t…

Q: What is the choice of substitution for S e*(1+e*)(1/2) dx?

A: The given integral,        ∫ex1+ex12 dx

Q: y = log, Vx? +1

A:

Q: Given that 1 -dx + dr = ln a, find the exact value of a. V16+9x² V9+4x* 1.

A:

Q: what is the general solution of a = e* dx +1

A:

Q: L{t e¬at } =

A:

Q: (x³y³ + 1)dx + x*y?dy = 0

A:

Q: The numerical value of xe dx is

A: Use Integration by parts

Q: –1 dx

A: Solve the following

Q: consider your implicit function. e^y=sin(7x). Dtermine the formula for dy/dx in terms of x.

A:

Q: Use integration by part to obtain a formula for S x"e*dx and use it to find S x'e*dx. Bx

A:

Q: For what value of c does dx = 1? J10 x4

A: To find the value of c that satisfy the given integral.

Q: Approximate dx , using the open Newton-Cotes formula 4h Iscx)dx=125(x,)-S(x, )+2f(x,)]. 3

A:

Q: 2. √ (e²x +e-2x) S 2 dx 1/

A:

Q: eт 3 cot (In x) dx 30. х e/4

A: Integrate the function:

Q: Incot3x dx sinh e* 1+9x

A:

Q: Solve the given dy=x√ e+~

A:

Q: Using dy = 3 dx and dx = 0.03, what is dy when x = 2? 2V3X – 2 dy = i (Write as an exact decimal.)

A:

Q: Using dy = 3 dx and dx = 0.03, what is dy when x = 2? 2V3X – 2 dy (Write as an exact decimal.) %D

A:

Q: Find the solution and define The interval at which function is değine 2. dx

A:

Q: Calculate dy dx.

A:

Q: E) + ») dy = 0 4x3 3 dx + y 3x

A:

Q: Given that 1 -dr+ 1 - dx = ln a, find the exact value of a. V16+9x? V9+4x?

A: given: ∫01116+9x2dx+∫0219+4x2dx=lna we have to find the exact value of a.

Q: 10. Given that y = at x = 1. e* X + 1 Find, in terms of e, the values of . 최 and dx dx²

A: (10). Given: y=exx+1   As we know that; The Power law; ddxxn=nxn-1 The Quotient rule;…

Q: (х5 + Зу) dx — х dy 3D 0

A: Given :                          x5+3ydx - x dy = 0Divide both sides by1x dx   1x dx x5+3ydx - x dy…

Q: 1.5 2 2.5 3. 5 f (x) 12. 0355 18. 0022 22. 4523 32. 3452 69.0998

A:

Q: Given that: 0 V40x – x² dx Find the value of m

A: From the given problem: I=∫04040x-x2dx So, we can also write as: ∫04040x-x2dx=∫040-x-202+400dx...1…

Q: Given y = V1+x³, find dy/dx. Use this result to find the approximate change in the value of y when x…

A: As we know that the instantaneous rate of change at any point x = a is approximately equal to the…

Q: By direct calculation, estimate the value of dc/dx for f(x) = 1/x^2 at c=4. Use ab increment of…

A: (x) = 1/x^2 at c=4.