. Separation of Variables: x(y +1dx + dy = 0

Q: Answer the question below: Let h(x, y, z) = ze*y + x² cos(z) cot(y³). The student should find hyzx.

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Q: Write the following sum as a single logarithm. Assume all variables are positive. log,(5) + log,(@) ...

A: Here, the given equation is: log4(5)+log4(a) Note that: logpx+logpy=logp(xy)...(1)

Q: A material transmutes 50% of its mass to another element every 10 years due to radioactive decay. Le...

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Q: (A) Find the average profit per grill if 40 grills are produced. Ave. profit = Find the marginal ave...

A: Given query is to find the average profit, marginal average profit.

Q: Consider the initial value problem and find the solution: y'' + 4ay' + (4a2 +1)y =0    y(0)=2,   y'...

A: We will use that if ax2+bx+c=0 is equation than x=(-b+(√b2-4ac))/2a and x=(-b-(√b2-4ac))/2a.

Q: Which of the following is equivalent to sec B(tan?B+1) for all values of ß for which sec B(tan²B+1) ...

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Q: Use a sum or difference formula to find the exact value of sin 75°. -V6 - V2 4 02 + V3 V2- V6 | 4. V...

A: topic - trigonometric ratios

Q: Lqsudnhlao203=9m] -03P99E90RO[9U3RM7210 Ud8y(l,om8 301 29u 3 ***#!12r Families of Curves: Parabolas ...

A: Topic:-  geometry

Q: e - a) + ? = α a²

A: See the details solution in below

Q: lim (In 2x + 5) + 4 r→-1

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Q: 00 Expand the function in a power series a„x" with center c = 0. Find a,x". 4+3x n=0 (Express number...

A: The given function is  f(x)=14+3x

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to x - 2x + 36x – 3x + 4)...

A: We have to find the value of n. 

Q: Separation of Variable s: x(y+1)dx + dy = 0

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Q: A $9000 investment earns 4.6% annual interest, and a $5000 investment earns 8.7%, both compounded co...

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Q: 6. CosX cot?x-cosx -0 cosA (cod 3x -)= coskcotX +D Crotă-) =0 cotx+l=0 cot x= -| tan=l-1 cotx-1=o co...

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Q: The equation of the family of straight lines with y-intercept and slope equal is

A: Equation of family of lines

Q: dx 2. Evaluate f 7+x2

A: To evaluate: 2) I=∫dx7+x2...(1)  

Q: Find the area of the surface generated when the curve y = x2 from x = 0 to x = 3 is revolved about t...

A: Let's find. 

Q: 6. The equation of the family of straight lines with y-intercept and slope equal is

A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of mu...

Q: Which of the following integral will give the volume of a solid produced if the region bounded by x=...

A: Given the region is bouded by x = 4√y , x = -4y and y=1 is revolved about y=2. Applying cylindrical ...

Q: A spherical iron ball 8 in. in diameter is coated with a layer of ice of uniform thickness. If the i...

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Q: oWE NING METHOD OF VNDETERMINED COE FFI CIENTS (o -4D+3) x = 2 cost + 4 vint

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Q: 13. (a) State the definition of the derivative of a function as a limit. (b) Use the definition abov...

A: First we define definition of the derivative of a function as a limit then find f'(x)  Equation of t...

Q: y = 7x2, y = x2 + 3 %3D

A: Follow the procedure given below.

Q: Consider the initial value problem and find the solution for y''+4ay'+(4a²y+4y)=0 and y(0)=-2, y'(0)...

A: Solution: y''+4ay'+(4a²y+4y)=0 and y(0)=-2, y'(0)=-1.

Q: Which of the following is equivalent to csc B(sec B– 1)(sec ß+1) for all values of ß for which csc? ...

A: Topic = Trigonometry

Q: The population of a city is 150,000. The city declines continuously by 4% per year. If this trend co...

A: We have to find time in year when  the city will be losing 3400 people per year.

Q: F IND THE DIFFERENDAL EDMATION OF THE FAMILY ○た PLANE CURVES DESCRIBEP. DRAW AT LEATT THREFE MEMBERS...

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Q: Find the area of the region enclosed between f(x) = x? – x + 20 and g(x) = 2x? – 2x. Area = .. ... ....

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Q: In(rºs² Vr*s° is equal to A lnr + Bln s where A = and where B

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Q: solve for t. SC

A: Follow the procedure given below.

Q: Elimination of Arbitrary Constant: y = Ax + Bx+C, A and B are constant, C is a parameter

A: We want to eliminate the arbitrary constants. 

Q: n=1 (ii) Give an example such that a, converges conditionally and diverges. IM:

A: Please see the below picture for detailed solution. 

Q: Find the general solution to the differential equation. y' = 2t   t2 + 64 y =

A: Follow the procedure given below.

Q: 3. Given a = (--6,6, 3) and b= (1,-1, -2) (a) Give the exact value of the angle between vectors a an...

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Q: 1 dx exactly and show that the result is Evaluate 1+ x2 . Then, find the approximate value of the 4 ...

A: Formula ∫ 1/(1+x2)dx = Tan-1(x) Trepizoidal rule I = h[f(xo)+ 2[ f(x1)+f(x2)+f(x3)....]+ f(xn)]

Q: 69. Suppose that f(1) = 2 f'(1) = 3 f(2) = 1 f'(2) = 2 13D %3D g(1) 3 g'(1) = 1 g(2) = 1 g'(2) = 4 %...

A: By Given conditionSolve only question 69 (d)Given :c(x)=f(g(x))f(1)=2, f'(1)=3, f(2)=1, f'(2)=2g(1)=...

Q: 3. What is the derivative of y = evaluate the derivative at x = 0, and you are given that g(0) f(1) ...

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Q: 8. A cardioid is a heart like shape that you learnt in Math 140 when learning to plot using polar co...

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Q: Which of the following is equivalent to tan 0(sec 0 – 1)(sec 0 + 1) for all values of 0 for which ta...

A: NOTE: Refresh your page if you can't see any equations. . use the formula 

Q: Consider the second derivative graph, y = f"(x), %3D given below. Which of the following statements ...

A: Graph f''(x) is given, we have to find the concavity if the graph f(x).

Q: Find the volume of liquid needed to fill a sphere of radius R to height . R y

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Q: dy Q3. Solve the DE da +y - y? provided that y1 = - is one known solution of the equation.

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Q: Determine whether the integral converges or diverges. Evaluate the integral if it con- verges. d.x x...

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Q: 6. Find the limit of lim -3r+2x-6 Xx-4+6x+9 using table

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: A hotel rents rooms to customers by the night. The hotel determines that if it sets the price of the...

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Q: N. R dy dx where M,N, P.Q and R are algebraic expresions.

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Q: Find the area of the region bounded by f (x) 3D а у 20— Зх — 2х2 and the x -axis using Simpson's Rul...

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Q: Vx2 – 16 if x 0 . Find the following: Note: If the g(a) or lim g(x) does not exist write DNE. 1. li...

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Q: 2 Separation of Variables: x(y+1)dx + dy = 0 %3D

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