Consider the curve defined by the equation 2x + y = 3xy for questions (4-6). %3D 2 1 -3 -2 -1 1 2 3 -1 -2 -3 3.

Q: Find values of c, if any, at which 2x f(x): 15 x + 7 is not continuous (enter as comma separated lis...

A: The rational polynomial function y=fxgx is continuous everywhere except such 'x' where g(x)=0. Given...

Q: dx 4-x とt

A:

Q: The curve x' + y° = 3xy was first discussed in 1638 by the French philosopher-mathematician René Des...

A:

Q: Differentiate the function after first rewriting the function in a different form. (Do not use the p...

A: The objective of the question is rewrite the function in different form and determine it's derivativ...

Q: lim f(T) = 1, lim f(r) = – 00, I -2 f(-2) = %3D 4- 3- -5 -4 -3 -2 A1 2 3 4 -2 -3- -4-

A:

Q: Evaluate the integral. (Use C for the constant of integration.)   21z3ez dz

A: As we know from the integration by parts; ∫udv=u·v-∫v·du Given: I=∫21z3ezdz   ....1

Q: 15) tan- -1 Vz 17) cos -1 19) tan 1

A: topic - Inverse trigonometric ratios

Q: dz 2 zV25z2-9

A:

Q: Solve the linear differential equations d²x dx + 2 + dt2 dt dx + 5x = 8e-t when t = 0, x = 0,- = 8 d...

A:

Q: What is the absolute maximum on the curve x2 4х — 7 on the interval [-7, -3]?

A:

Q: Example 19-24. Given log1, 654 = 2-8156, log, log10 658 = 2-8182, log10 659 = 2-8189, log 10 661 = 2...

A:

Q: If two objects travel through space along two different curves, it is often important to know whethe...

A:

Q: Use the method of undetermined coefficients to solve y''- 4y'+3y = x^2+ 2x-3e^3x.

A:

Q: Let w(x, y, 2) = a? + y? + 2? where a = sin( – 9t), y = cos(- 6t), z = e". dw dæ dy dz by first find...

A: We have  W= x2+y2+z2  Where , x= sin(-9t) , y= cos(-6t), z= e3t  Find dx/dt, dy/dt, dz/dt and dw/dt 

Q: 2. Answer C/DC a. lim f(x) x2 b. lim f(x) X-2+ c. lim f(x) -3 -2 -1 -1 X-2 d. lim f(x) -2 X-5 -3 e. ...

A: limx→a f(x)=L if and only if limx→a+ f(x)= L=limx→a- f(x).

Q: equations for the line segment that joins P to Q. P(0, 0, 0),    Q(−3, 8, 6) vector equationr(t)=   ...

A:

Q: Find an equation for the functionf that has the given derivative and whose graph passes through the ...

A:

Q: Consider the region bounded by y = x and y = Vx, shown below. Find the volume of the solid obtained ...

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

Q: Find all points (x,y) where f(x,y) has a possible relative maximum or minimum. Then use the second d...

A:

Q: Roughly, speaking, we can use probability density functions to model the likelihood of an event occu...

A:

Q: For the differential equation: (D³ + D² + 4D + 4)y = 0 when x = 0, y = 0,y' = -1, y" = 5 %3D %3D %3D...

A: Here we have to find the solution of differential equation.

Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) the line throug...

A:

Q: Зx2 + x + 31 Вх + С + x2 +9 A (x + 4)(x² + 9) x + 4 A = B = С - Now evaluate the indefinite integral...

A:

Q: 4 dx the integrand is x2 In x2 A) True B) False

A: We can find the answer as below.

Q: 13. Iff (u) = sec u , find f'(u) a. sec u tan u С. sec x tan x b. sec u tanu d. sec x tan x 14. Whic...

A:

Q: Which among the following illustrates the limit of an identity function? O lim z = 2 I+2 O lim z = 2...

A:

Q: Find the general solution to y = -e*y² + y +e²

A: Given first order differential equation is solved by using integrating factor.

Q: Roughly, speaking, we can use probability density functions to model the likelihood of an event occu...

A:

Q: 4. S(1 – cos 4u) du 5. S sin x cos x dx

A: 4) Given:        ∫1-cos4udu Apply linearity:    =∫1 du-∫cos4u du     =u-∫cos4u du      

Q: Find the average value of the function over the given interval. (Round your answer to four decimal p...

A:

Q: Solve the first order differential equations dy – yln(yecosx)dx = ysindx

A:

Q: Which of the following is/are signified by lim f(T) = co? OAs T approaches a, the value of f(x) incr...

A: limit of f(x) as x approaches a is infinity signifies the following- 

Q: If In(a) = 2, In(b) = 3, and In(c) = 5, evaluate the following: – 4 a (a) In 6-4c-1 (b) In Vb°c'a 'c...

A:

Q: c) So lz² – 4| dx sin a d) L', dx da e) J JetItya

A:

Q: Consider the region R between y = sin x and the x-axis for 0 ≤x ≤π. (a) Find the volume of the solid...

A:

Q: Evaluate and solve the linear differential equation. (d2x)/(dt2) + 2 (dx)/(dt) + 5x = 8e-t, when t ...

A: Given differential equation can be writen as, (D2+2D+5)x=8e-t.....(i)d=ddt, x(0)=0...(ii),dxdt|t=0=8...

Q: Find distance from the point (0, 1, 3) to the line = 2t, y = 6–2t, z = 3+t

A: (0,1,3)    L=x=2t, y=6-2t, z=3+t

Q: Write the equation of the tangent line to the graph of y=x2  the point where x=2.5

A:

Q: Solve the given differential equation by undetermined coefficients. y"-8y'+16y = 24x+2

A: The given differential equation is y''-8y'+16y = 24x+2 We have to solve differential equation by met...

Q: Evaluate the following definite integral. sec2 dt /14

A:

Q: him 1- CO13X

A:

Q: The given two-parameter family is a solution of the indicated differential equation on the interval ...

A:

Q: Find the average value of the function g(x) = xe *in the interval [I, 4].

A: We know that average of the function in the given interval is the ratio of the integral of the funct...

Q: Find an equation of the tangent line to the curve at the given point. x? + sin (y) xy + 4, (2,0) (Ex...

A:

Q: 1. Given r(t) = 2 cos ti + 2 sin t j+ 10tk; 0 < t < 2n , find the tangential and normal components o...

A:

Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) the line throug...

A:

Q: ū = (-/3, –1) and w = (1, /3) E. |

A:

Q: - 2200x A firm has the marginal-demand function D'(x) = where D(x) is the number of units sold at x ...

A: D'(x)=-2200x25-x2Integrating ∫D'(x) =∫-2200x25-x2dxD(x)=2200∫-x25-x2dx=1100∫-2x25-x2dxusing formula ...

Q: Differentiate the function after first rewriting the function Tn a different form. (Do not use the p...

A:

Q: (y+1)dx + (4x-y)dy =0

A: