use Integratian by paits to cualuate. 2(1)- 2(I)= 끼 2 ニn 2. X COS (2x) dy U=2x du= 2.dメ %3D LI,0 =U cosco IT UCos (A dU TT Usin(u)-51.5in(u) du Sinı USIn(0)+(05( TSin/TI)+/15(T)

Q: Se sin 3x dx Using integration by parts, if u = sin 3x and dv = e*dx , %3D what should be du and v?…

A: We know that, The expression for the integration by parts: ∫udv=u·v-∫vdu   Given: I=∫exsin3xdx

Q: To obtain the General Solution of si What will be the form by separation of variables? cosv A)…

A:

Q: ∫cos(7t) dt Evaluate the following integral using substitution rule or integration by substitution

A: ∫cos(7t)dtSubstitute u=7t→dudt=7→dt=17du

Q: 3. Using Euler's method, find an approximate value ofycorresponding to x= 1.6, given =y -and dx y =1…

A:

Q: Fial dy ldx by imphieit differention. X² (x+y)=y?(7x-y) 2. Find dy /x by implicit differention. e…

A:

Q: sinh z 2) G Cosh z 3) d Coth 2 4) Tanhz A cschz 5) dz Camscanner l

A:

Q: test for the exactness of the differentral dy + Cosx +Sinyfy -0 quation And hence find the Salution…

A: A differential equation contains independent variables, dependent variables, and the differential…

Q: Given: y = arctan sinh find y' at x 2 cosh 1 3(1+sinh 1) cosh 1 Oy = 1+sinh 1 cosh 1 1+sinh 1 %3D…

A:

Q: Q3/A- Using Trapezoidal rule ,choose the correct integration value of S sin(2x) with width=15?…

A:

Q: 03/A- Using Trapezoidal rule ,choose the correct integration value of sin(2x) with width 15? 15.0053…

A: Here the given function is f(x) = sin(2x) we have to find integration by trapezoidal rule.

Q: Mesin(2x) dx = e$in(2X) + C then the M is equal to Blank 1 If

A:

Q: = cos(xyz) + ln x5 - sinh y² + 3z at P(-1, 3, 0) Given: f(x, y, z) af(x, y, z) Find: дz 0 1 3 0 None…

A: See the details solution in below

Q: 1: A)find the length of the curve y=3(x)/2 – 1 from x=0 to x=1 ? B) Prove that: cosh (x + y) = coshx…

A: A) Length of the curve is y=3x32-1 B) Trigonometric function

Q: Find dy/dx if ylnx + y^2 = 0.

A: According to our guidelines, we can answer only one question or three subparts of a question.

Q: 10 Jlgull sinh (z) = e-e-z 2 e2+ez 2 21 2.

A:

Q: dy 3 sinh y - 5 cosh y

A: Given, I=∫dy3sinh y-5cosh y

Q: Question The approximation of fxln (x + 5) dx using two points Gaussian quadrature formula is:

A:

Q: The magnetic potential P at a point on the axis of a circular coil is given by 2T NIr 1 dx (12 +…

A: Let's find.

Q: olve the following initial value problem using variation of parameters: y" + 4y = cos 3x y(0) = 0,…

A:

Q: valuate the triple integral ***"* sin² (z)ze-²v³ dzdyda

A:

Q: 1 |Using u-substitution we find that In(2x + 1) dx In?(3) 2x + 1 JO

A:

Q: 2) dy 3x-y+1 3y-x+5 Apply homogeneity test to differ en tial equertion cnd solve. %3D

A:

Q: By usiag ategration by parts i one con prove ite usina integro réduction formula i onc Can prove the…

A:

Q: Evaluate 2Sin x´dx, by (i) mid-point rule, and (ii) Simpson's 1/3 rule.

A: i)Given:        ∫242sinx2dx   Mid-point rule:       ∫abf(x)dx=∆xfx0+x12+fx1+x22+fx2+x32+...…

Q: Estimate 1 7 cos(x2) dx 0 using the Trapezoidal Rule and the Midpoint Rule, each with n = 4. (Round…

A: I=∫017 cos (x2) dx             f(x)=7 cos (x2)b=1, a=0, n=4h=b-an=14=0.25aThe Trapezoidal…

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

A: You can solve this problem using the substitution method

Q: e ln (xle) (2– sec²r)cm#/c°sec³x sec(3A – x) What should be the value of A for -dx to be integrable…

A:

Q: Find the indefinite integral. |x cos 9nx? dx Step 1 To find the indefinite integral /x cos(9Tx?) dx,…

A:

Q: d cosh z =sinh x dz صواب ihi

A: Use the formula of coshz and sinhz in terms of exponents.

Q: In integrating the function fx cos(3x) dx using integration by parts, what would be your du? du = x…

A:

Q: 8 dx Q1 Evaluate | (1+ by trigonometric substitution integration method?

A:

Q: 26. y = sinh x, y= e, x = 0, x= 2 27. y = Vx, y =;x, x= 9 28. y =x, y = 2.x², x + y = 3, x>0 II

A:

Q: ;+ 2リ+y = ハ- cos(t) Slove the D- E t2 with. Ze Vo initial cuudition s En gineer ing Analysis

A:

Q: 16) Approximate ,xer'dx Using Gauss-Legendre 3 points formula G3(f)

A:

Q: Find the general antiderivative of the given function. sin( x/7π)   and  sec2(5x) + sec2 (x/3)

A: GIVEN DATA : Function sinx7π and sec25x+sec2x3        TO FIND : Anti derivative of the function…

Q: dx 5 + 4 sin a

A:

Q: #@3 g (x1y) =- 7x3 -49xy + 7y3 Find and elassify all the extrema of the fine tion

A: Given- gx,y=7x3-49xy+7y3 To Find- All the extrema of the above function. Concept Used- Using the…

Q: Given: y = arctan sinh find y' at x = 2 %3| cosh 1 %3D 1+sinh? 1 cosh 1 O y = %3D 1+sinh 1 cosh 1…

A:

Q: Ecos sin dx is equal to A. Inv2 B. Inv3 c. In D. In e When evaluated, x sinh 3x dx is equal to A.…

A:

Q: iven that a and b are positive constants with a < b. how how you find the antiderivative and use the…

A:

Q: S(cscz cot z + 8z")dz O secz +z +c sec z+z+c O - sinz +z +c O cscz + z +c - csc z +z° +c

A: We will integrate the given function by using the formula of basic integrable functions.

Q: Evaluate∫x3√4−x2dx using (a) integration by parts (b) au-substitution (c) a trigonometric…

A:

Q: Use Leibniz's rule to find 히증 11 Textbook dx for y= 0 S 7x² 8t - dt. 8t+1 Ask my instructor

A:

Q: Find the value of dz and 8z/ dy at the point A when x changes by (0.01) and y changes by (-0.01) xe…

A: Given  data  xey+2z-cos(xy)+ey-ln2=4  ,  A(ln2,0) Also given  when x changes by (dx=0.01) and y…

Q: 1. Use residues to evaluate 1 : xe dx , (a>0).

A: Let fz=ze-zz2+a2 The poles of the function fz are ±ai Choose the contour C consisting of the real…

Q: Q1/ Evaluate 1 dx Jo 1+x² using Simpson's 1/3 rule Simpson's 3/8 rule i- ii-

A: Simpson's rules are techniques of numerical integration. Both 1/3 and 3/8 rules are explained in the…

Q: 5. Find de for y = 3csc x + x2 dy On= -3ese(#)cot(2) + 1) dy = -3csc x)cot ( x 10 dx O 2) dy…

A: Given that: y=3cscx+5x2

Q: sin(20nnt) ass A: AS(t)ln:0dd En=1 %3D %3D1

A:

Q: th 2 Evaluate khe fulawingcartesian integrat by changing theminte equiv alent Pelarintegrals: E 4-y…

A:

Q: S cosh x · sinh x dx = Select one: cosh*x а. 4 cosh* x + c 4 b. sinh x С. O d. - sinh + c x

A: Explanation of the solution is given below....

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.