3 Find (- 3)'-1 i=1

Q: Suppose a metal ball is heated in an oven at 195 °C for a very long time. After, it was removed and…

A: Let the temperature of metal ball at time t be:  y(t) Surrounding temperature is:  A = 25°C…

Q: Solve number 3 using first order linear differential equation.

A: We will solve the Differential equation.

Q: п/4 sec z dz

A: By using integration formula, we calculate the given integral.

Q: +xy+(x-9)y=0 2 4 2.

A:

Q: Form the differential equation by elimanating the arbitary constant A,B fror V=Ae7x+Be-7x

A: y = Ae7x + Be-7x

Q: Suppose a metal ball is heated in an oven at 195 °C for a very long time. After, it was removed and…

A: follow the procedure given below.

Q: Use differentials to estimate (2.03)4

A: Given: To find differentials to estimate (2.03)4

Q: Find two z values so that 48% of the four decimal places, separated by a 0,0.

A: Given Data: Z is the standard normal distribution   P(-x<z<x)=0.48 P(z<x)=0.74

Q: tion of all components of v(3) correct to two decimal places.

A:

Q: dN₁ dt dN₂ dt 5N₁ 1 N₁ 20 N₂ 17 9N₂ 1-- N₂ 20 N₁ 17 1.6- 0.6-

A: This is a question of the equlibrium of the system.

Q: Obtain the differential equation for the family of circles with center on the line x = 8.

A: The general equation for a circle can be written as

Q: sech (x*) tanhl 12.

A: 12. Given integral is ∫sech3(x13) tan h(x13) x23dx Let us make substitution to simplify the above…

Q: 2 L sinh–t|= 3 6. 9s2 – 4 3 2s2-4 6. s² – 4 - 3s2 – 4

A:

Q: representing the family of circles through the fixed points (-c, 0) and (c, 0).

A:

Q: differential equation is given as

A: In this question, the concept of the differential equation is applied. Differential equation A…

Q: he measurement of the radius of the end of a log is found to be 20 inches, with a possible error…

A: Given that: Radius of log, r=20 inError in measuring radius, dr=18 in

Q: Sec-S 2 1 TanOLO

A:

Q: Obtain a differential equation associated with the primitive Ax^2+By^3=9

A: Differential equation is obtained by eliminating the constants A and B from the primitive equation.…

Q: Find the differential equation of family of circles tangent to the x-axis.

A:

Q: Use differentials to approximate the value of <2.1.

A: Given  Find the value of 52.1

Q: sec Vn du in

A:

Q: Write in your words about some of the applications of the partial differential equations With…

A: Given :- some of the applications of the partial differential equations

Q: How do you integrate 25e^-x?

A:

Q: 3. The sum of the lengths of the two diagonals of a parallelogram is 18 m. One diagonal is 2 meters…

A: Here we will use two formula  1st Area of triangle  If two sides of a triangle has length a and b…

Q: 2. Solve 3shn-sinx-2= over the interval [0,27). 2 sın'x-sinx-|:0

A: The objective is to solve the above expression.

Q: Find the differential equations of the families of curves. 1.) Straight lines with slope and…

A:

Q: Find the differential of the given functions. 1. y= x-2x² + 5 5. у 3 1- -s2

A:

Q: uxiliary equation of + by = 0 are re tion of the different

A:

Q: Obtain differential equation of the family of curves with properties indicated

A:

Q: (1-) ex, 4. S ex 2dx

A:

Q: Find the differential equation of family of lines whose angle of inclination is 60 degrees.

A:

Q: 9. . sinh 3x dp- 1+cos 3x 2x+9 10. S x² +6x-4

A:

Q: 4 + sinh(3x) = 4 cosh(3x).

A:

Q: Use the hyperbolic identity cosh(2x)= 2 cosh2 (x)-1 to solve 4 cosh(2x)– 22 cosh(x)+ 19 = 0 .

A:

Q: Use differentials to approximate √16.5.

A: Given:

Q: Solve the differential equation using series: (x + 1)y'' - (2 - x)y' + y = 0.  where y(0) = 2 and…

A:

Q: Obtain the differential equation of the family of lines passing through (-1.1).

A:

Q: Find 2 at the point (4,1,6) for -6x² + 7 ln xz + 4yz² – 2e? = 0 %3D

A:

Q: Use differentials to approximate radical (48.7)

A: Ne need to approximate √48.7 using differentials.

Q: How do I calculate sec^-1 (1)?

A: Domain of sec-1(x) is (-∞,-1] ∪[1,∞) and Range is [0,π2) ∪(π2 ,π].

Q: evaluate the integral.

A:

Q: 17. Show that V10x + 1 and Vx + 1 grow at the same rate_ as x→o by showing that they both grow at…

A:

Q: Obtain the differential equation of the 5. Family of straight lines with x- intercept and slope…

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

Q: Solve the differential eguation 3-

A:

Q: Obtain the differential equation of the family of curves as described. Draw some representative…

A: Here first we write one parameter family of given curve and then we use differentiation to eliminate…

Q: 27. Obtain the differential equation having the solution as the equation representing all circles of…

A: The differential equation of all circles of radius 1 and centers on  y=x

Q: Obtain the differential equation that describe the family of curves.

A: The general equation of the circle isx-h2+y-k2=r2where (h,k) is the center of the circle and r is…

Q: (a) Sizl=1 dz.

A: Here we use property of analytic function.

Q: Device 2 is capable of detecting seismic changes up to a distance of 1.4 times that of device 1.…

A: In this we have to do the given instructions and approximate the value to the nearest 100,000 and…