The DE: dY - 4xy +5y² xy + 3x? can be transformed into a seperable DE dx in x and z by using the substitution y= xz Select one: O True False

Q: Given a = 8t – 22 and y = 64 sin t %3D %3D - dy dx d'y %3D da?

A: Let x = 8t - 22 and y = 64sin(t) Differentiate x with respect to t dxdt=ddt(8t-22)=ddt8t-ddt22dxdt=8…

Q: dy 4xy+5y2 The DE: can be transformed into a seperable DE %3D dx xy +3x2 in x and z by using the…

A: We have given a differential equation and we have to find substitution to make it variable…

Q: fo axy dx + 2xy dy, where Cis the rectangle bounded by x = -1.x = 1, y = 1, and y = 5. 6xy dx + 2xy…

A:

Q: If the substitution u = x/2 is made, the integral 1-(플)2 dx = %3D -

A: Let's integrate.

Q: What is 'z' in the given Bernoulli DE (6xy³ – y)dx + 2x?dy = 0? Select the correct response: y2 -y?

A:

Q: dy 4xy+5y2 The DE: dx can be transformed into a seperable DE xy +3x? in x and z by using the…

A:

Q: Answer the following questions for the DE. (y – 2)dx + (3x - y)dy 0 %3D What type of DE is shown?

A: (y-2)dx+(3x-y)dy=0  is first order non  linear ordinary  differential equation

Q: Find dy at (x, y) = (TT, T) for sin (xty) = 2x-ay %3D dx

A:

Q: If x2 + y? = 169 and dy/dt = 5, find dx/dt when y = 12. (Enter your answers as a comma-separated…

A:

Q: Fain the par hicul ar foluhion 4 DE . 9xy dy ; uh en x= 2,y=1 4xy° dy = 2y (1+ y?) dx ; when x- 2…

A: In this question we will use basic of calculus i.e contact of solution of differential equation. We…

Q: u + c. Evaluate So (2x- y)3e dx dy with y = v, x= u-

A: To evaluate ∫02∫y22+y22x−y3eydxdy with y=v, x=u+v2.

Q: By algebraic substitution, the integral -dx is converted to: 4+. Vx 2ydy (A y+4 dy B y+4 y+4 D [vay…

A: Here is the solution

Q: dy 4xy+5y2 The DE: can be transformed into a seperable DE dx xy + 3x2 in x and z by using the…

A:

Q: Given z=x²y+3xy, x=sin(2t), y=cos(t), find dz/dt when t=0

A: ddxcosx=-sinx

Q: dy _ 4xy+5y² can be transformed into a seperable DE The DE: dx xy +3x2 in x and z by using the…

A: The solution is given as

Q: dy 4xy+5y2 The DE: dx can be transformed into a seperable DE ху + 3x2 in x and z by using the…

A:

Q: That is *z' in the given Bernoulli DE (6xy³ - y)dx + 2x²dy = 0? lect the correct response: O -y-2 y2…

A: Rewriting it, dydx=-(6xy3-y)2x2dydx=-3y3x+y2x2thus we have,dydx-y2x2=-3xy3

Q: 4хy + 5y? xy +3x? in x and z by using the substitution y = xz dy = can be transformed into a…

A: We will use the substitution to try to transform the given differential equation into separable…

Q: Find the following antiderivative: 4. /(arctan r) dx, by using the substitution u = arctan x

A: Find the following antiderivative by substitution method

Q: Evaluate the iterated integral.

A: Consider the following integral: ∫13∫0y4x2+y2dxdy=I Consider the following formula:…

Q: 4. Determine the c, and c2 so that the y(x) = c,e-* + cze8x + sinx that will satisfy the initial…

A:

Q: plve the following second order (non-homogeneous). d²y dy 2y dx = sin2x dx2

A:

Q: Given z = 8t – 18 and y= 64 sin t dy (i) da dy (ii) dx?

A:

Q: Which of the following is not an exact DE? O (xy^2 + x)dx + (yx^2) dy = 0 O (2xy – 3x^2)dx + (x^3 -…

A:

Q: TIJY sin /x dx dy by using the transformation u= Vy. v= Vx ? 0 0

A:

Q: Transform xydy = y? dx + ydy into a separation variable form. O (x – 1) dæ ydy = 0 - - de dy %3D a-1…

A:

Q: Upon multiplication by -3x-4 and using the substitution Z= X¯³, dz= - 3x-4dx, the Bernoulli's DE dx…

A: To find the equation obtained by multiplication of -3x-4 and using the substitution, z=x-3,…

Q: Find the differential dy. (a) y = xv8- x %3D dy %3D (b) y = (1+ x)7 dy

A:

Q: Using the substitution *=vy, dx=vdy + ydv the DE (1+2e*ly) dx+ 2e*/ (1--) dy=0 y reduces to the…

A:

Q: f(x, y) = 2x- xy + y, find (a.)and (b.) at (Xo, yo) didirectly from the definition. dx dy

A:

Q: @ Consider the DE, dx %3D dt x (2t -7) What meho can be uoed

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: If we have to check the DE (5-8y+4xy)dx = (x+2)'dy for Exact then My %3D

A:

Q: By algebraic substitution, the integral - dx dx is converted to: 4+Vx 2 dy A y+4 2ydy B У+4 ydy (C)…

A:

Q: Given the DE. 3dy + ydx = (1-2x)y4, Rewrite the DE into Linear Form at v O dx-v = 2x+1 dx-v=2x-1…

A:

Q: Classify the following DE: e+3y=x²y dy + 3y=x?y dx Select one: a. Seperable and not linear b. Both…

A: We have to check

Q: Use Green's Theorem to evaluate Se xy dx + (1 – æy³) dy where C is shown below y (1,4) (-1,2) 2 1…

A:

Q: What is the separated form of this DE? X cas y dx t tany dy

A:

Q: Upon multiplication by -3x-" and using the substitution 2= x-³, dz = - 3x~4dx, the Bernoulli's DE dx…

A:

Q: Find the general antiderivative. If the substitution method is used, state first u, du and [lu)du.…

A:

Q: Classify the following DE: e*. dx dy +3y=x²y Select one: a. Linear and not seperable b. Both…

A: Given- exdydx+3y=x2y To Find- The nature of the differential equation. Concept Used- A separable…

Q: - dx dz dy . x² +z? Evaluate the iterated triple integral

A: To evaluate the triple integral: ∫02∫0y∫0z3zx2+z2dx dz dy

Q: dx dx is converted to: 4+Vx By algebraic substitution, the integral - 2ydy y+4 B y+4 © [ vdy y+4 dy…

A: Given, u= ∫dx/(4+√x) We can solve it by substitution method.

Q: When reduced to a linear DE of order one in z, the Bernoulli's equation dy +y dx = 3x?y? becomes dz…

A:

Q: Find the particular antiderivative that satisfies the following conditions: dx = 5e' – 8; x(0) = 2.…

A:

Q: Evaluate the exact value of the multiple integral. 2 In 2z c2y e*dx dy dz 2 Jinz -y

A: This question is related to definite integration, we will solve it solve it using given information.…

Q: evaluate the iterated integral.

A:

Q: dz Given z = e* sin y,x = u² + v²,y = uv, find dv

A: Using chain rule of derivative,

Q: To set up integration by parts for J xe dx, a student let u = e^x and dv = x. Is this correct…

A:

Q: If we have to check the DE (5-8y+4xy)dx = (x+2)²dy for Exact then My

A: M dx + N dy =0

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.