Find the solotion of the differential eaoation thot satisties the qiven nital condiion

Q: Evaluate the integral. er HEAD ² y³ In(x) dx, y> 0 ind

A:

Q: Use Simpson's Rule and all the data in the following table to estimate the value of the 28 integral…

A:

Q: find the derivativa dy for the frurrtion y=x by using lagarithmic differatiation.

A: Given y=x5x Taking logarithmic both sides, lny=lnx5x implies lny=5xlnx

Q: compute the value of the following improper integral. If it is divergent type D. dr (5x+1)

A: To compute the value of improper integral: I=∫1∞1(5x+1)2dx...(1)

Q: Evaluate the integral. ∫t3  et dt

A: ∫t3  et dt  We need to evaluate the integral.

Q: Let X and y have the doint probubylity dansity fumbion. fexy. 4え for OLXLJY LI e Thedte elsewhere…

A:

Q: Verify that the integral of the beta density from −qto q equals 1 for(a) α = 2 and β = 4;(b) α = 3…

A: The Beta density function is given by: We need to prove:

Q: Evaluate y dx using weddle's rule from the following table.

A:

Q: Evaluate the integral (ycoS z + 1) dydz.

A:

Q: Your pump empties t together with your pu pump to empty the p

A: Given that, Your pump emptites water from swimming pool in 6 hours. That means your pump empties the…

Q: Find the differential cquation a the (2.K) families af cirdes with center at and wi th radius r

A: To find: Differential equation of circle with centre 2,k and radius r. We know that equation of…

Q: Consider the following. f(x, y) = x/ y X (a) Find f(30, 15) and f(30.5, 15.25) and calculate Az.…

A:

Q: S (y + 3x)dydx Evaluate:

A:

Q: In?(In(ar)) dr. a >0 -dx, a > 0 а. 2.x In(ax)

A:

Q: Use Simpson's Rule and the data in this table x 5 6 7 8 9 | 10 | 11 y | -6 | 3| -7 | 7| 2 | 2 | -8…

A: The given integration is: ∫511ydx  First of all, we need to find the value of △x for which the…

Q: Evaluate the integral.

A:

Q: Prove that E (2s+l)=3n" whenever 'nisa psitre r'nisa pisitive intger. 32.

A: Given that,      ∑j=n2n-12j+1=3n2, n is a positive integer

Q: byparts VE tan! (VE) dt

A:

Q: Given

A:

Q: The amount of a drug injected into a guinea pig. Select one: O a. Continuous O b. Discrete

A: Discrete data: When the data set can only have finite (or countably infinite) values that are…

Q: Evaluate the improper integral A diverges B) 0 с 3 Alu 112²232/3 dx 4

A:

Q: Find the most general antiderivative of the function. (Ch

A:

Q: find the product of the integral 1- ' pln(7) xy eyx dydx

A:

Q: I Find marginal di stributon for x Find Condi tion al pdf fyx ) E E slimade plosy< /x0) I Eslimale…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: Evaluate the integral. | e3t V4 + et dt = %3D

A:

Q: Evaluate the improper integral dx (5 – x)³ K MANUSIA KERANA T

A: Recall: Improper Integral:      If f(x) is continuous on the interval [a,b) and not continuous at…

Q: O Set up integrel for the Velume aboud x. 3 X= Y-2

A:

Q: t * et  Compute the convolution integral.

A:

Q: Compute algebraically the resultant of the following complanar displacements: 100 N at 30°, 141.4 N…

A:

Q: Which of the following evaluates the double integral xy dA,

A: We can solve this as follows:

Q: Compute the following improper integral. dx

A:

Q: The improper integral fx dx is

A: An improper integral is the limit of a definite integral as an endpoint of the interval of…

Q: Jy cosy smy dy 3

A:

Q: 5. Show that for the distribution df = yo e¯x/2 " – 1 dx, 0sxs∞ n-1 n + Hj' (about the origin) = v2r…

A:

Q: Suppose X has the B(20, 0.5) distrubution. Using normal approximation for X with the continuity…

A:

Q: It u-ys Int, Ya っ 3. to ny find by rusing ypropoiate chain rule

A: Given, Let, u=rs2ln(t), r=x2, s=4y+1, t=xy3

Q: dx Evaluate 1 using Simpson's – rule. 3

A: Simpson 1/3 rule is not applicable here.

Q: 2) Find the total differential dz for z = tanhy In(x)

A: Total differential of z is given by dz=(∂z/∂x)dx+(∂z/∂y)dy

Q: Evaluate the integral. r3 3 cosh(t) dt 30.05

A:

Q: fx'e* dx ets

A: To evaluate:                     ∫x2 ex3 dx

Q: Use Simpson's Rule and all the data in the following table to estimate the value of the integral 35…

A:

Q: find the volue of the od specify ingrol integrol T-x2 the

A:

Q: Evaluate the integral.   ∫01 t cosh t dt

A: Given: ∫01tcoshtdt

Q: If y, , have a joint density (9,41,42,43) = (++), 0≤9.4.1 0 elsewhere evaluate the regression of g…

A:

Q: Evaluate the following integral numerically, using (i) Simpson's rule with 2 intervals, (ii)…

A:

Q: he joint PDF of the X and Y is constant on the shaded region, and is zero ou iven that fx,y(x, y) =.…

A: