xy²y' = y + 1; y(3e²) = 2

Q: Given the triangle below, find sin(0). Enter the answer as a fraction. 17 15 0. 8

A: Find your answer below 

Q: Use differentials to estimate the amount of material in a closed cylindrical can that is 10 cm high ...

A:

Q: The position of a car traveling along a highway is given by the function s(t) = - + 31² + 20t – 3 wh...

A: Given:     Function st=-2t33+3t2+20t-3    where t≥0 Velocity vt=ddt-2t33+3t2+20t-3                  ...

Q: ſcos^3 (x) sin (x) dx, For the indicated integral, what would the first step be? * Add one to the po...

A: ∫cos3(x)sin(x)dx here we use substitute method so we have to substitute so lets substitute u = cosx

Q: If x? + y? = 100 and dy 8, find dt dx when y = 6. (Enter your answers as a comma-separated list.) dt...

A: Given that x2+y2=100dydt=8To find :dxdt when y=6Solution:x2+y2=100x=100-62=8x2+y2=100Diffranciate w....

Q: Σ 7 2 n n=1 п (In? п + 1) 8

A:

Q: x5+x-1 4. S**- dx x3+1

A: A detailed solution is given below

Q: Find the differential of the function w = z sin(y'z?) dw = dz+ dz +hp

A:

Q: Given the systems of ODE below with given conditions x(0) = 1 and y(0) = 2. dy + 2x dt dx et, 2y = 1...

A: First we find value of y in equation 2nd and put in equation 1st .  Follow step 2,3 . 

Q: Concentration of a Gas and Global Temperature The scatter plot gives the average atmospheric concent...

A: Given that the scatter plot gives the average atmospheric concentration of a gas and average global ...

Q: If the power of the cosine is odd and positive Convert the remaining factors into cosines Convert th...

A:

Q: 4. у %3D 2/5 seс (10х2 - 7) 5. у %3D -10 csc (2x3 + 6) 6. у %3D 6x2 tan 10x

A:

Q: 4- x Find the equation of the tangent line tof-l at the point P (G, 1) for f(x) = x+1 Provide your a...

A: Topic:- application of derivatives

Q: Find the equation of the tangent to the curve y=xcosx at x= 7. Use exact values in your answer f app...

A:

Q: Question 1 Find the area bounded by the parabola x = y? and y = x-2. Answer in decimal form.

A:

Q: 83. The acceleration of a particle moving along the x-axis is given by a(t) = (t- 8)sin t for 0 <IS ...

A: we know a(t)=d(v(t))dt where a(t) is the acceleration, v(t) is velocity and t is time. The particle ...

Q: Solve the differential equation by using integrating factors. y' = 6y + 5 y(x) =

A:

Q: 2e3+6 + x Evaluate lim x-2 and write your answer in simplest form. 2x +4

A:

Q: Use the second partial derivative to Find the relative extrema OF the Function f (x, y) = x°t 2xy-6x...

A:

Q: n=0

A:

Q: (cos v)³ + sin v dv (cos v)²

A: Topic:- integration

Q: 8. Use the two-column proof table to simplify the given proposition. PV {¬(-Qv P) A-(-QVP) v (Q A¬P)...

A: Using table solve it. 

Q: +00 2n determine the interval of convergence of (-1)"+1 n3 + 2 n=1

A:

Q: a) Show that f(x) = |5x+6| is continuous everywhere. (One point in particular is important to check)...

A:

Q: Let e =, f(x,y) = 3x°y-4xy°+ ay-4x at (3,4) in the dire ction given by the angle. Find the direction...

A: Solution is written in below steps.

Q: Write the first-order differential equation in standard form. (Use yp for dy/dt.) dy dt = 7y + ty + ...

A:

Q: dx sin? - cos 2

A: Here, the given integral is: I=∫0πsin2x2cos7x2dx Substitute x2=t⇒x=2t⇒dx=2dt as x→0⇒t→0 &amp; as x→π...

Q: Find the general solution of the system y' = Ay where A = 1 2 -1 4 y(t) = c1e' + c2et y(t) = c1e2t 2...

A: Here, the given system is: y'=Ay where A=12-14

Q: Given the function f(x) = x – 15x², find all x-values where f has an inflection point.

A: Solution is written in below steps.

Q: Is the differential equation linear? dy dt + y2 = x

A: The given differential equation,     dydt+y2=x

Q: . Sketch the graph h(x) = x2 -x-12. Then, a.) Determine the line tangent to h(x) at x=c. What is it...

A:

Q: Qal AIf fo =Sx-ul, gca)=x fin d fogcx) Then graph it determine domain and range.

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: Selected values of f(x) are shown in the table below. What is the e10 trapezoidal sum approximation ...

A: We have to find ∫410f(x)dx  

Q: Find the area under the given Cunves: D= 9-X From X = - 2 to X = 8

A:

Q: I Eliminate the arbitrary constants -2x 2X Y = C,e cos 2× + Ge sin 3X

A:

Q: Let o = IT Find the directional derivative Du t (x, y) OF f (Xiy) = 3x² y - 4xy3+ 3y²-4x at (3,4) in...

A:

Q: Evaluate the limit. 2x5-128x2

A:

Q: If x? + y? = 100 and dy = 8, find dt - when y = 6. (Enter your answers as a comma-separated list.) d...

A: Given query is to find the indicated derivative.

Q: MODULE IN BASIC CALCULUS IV. Exercises 1. Determine the general antiderivatives of the following fun...

A:

Q: f(x) = x* – 72x2 Enter the critical points in increasing order. (a) Use the derivative to find all c...

A:

Q: After some thought, you have decided that you will need $60,000 each year to live on after you retir...

A: This is a problem related to simple interest calculation. Based on the general formula of simple int...

Q: 3. Let p = 31. Evaluate L3(24).

A:

Q: Let f be a differentiable function such that f(4) = 3 and f'(x) = -3x + 3. What is the approximation...

A:

Q: Find a polynomial P(x)=x^3+ax^2+bx+c satisfying ALL of the following properties: i) x = -4 is a loc...

A:

Q: Consider vector u. Find the angle 0 E [0, 27) that vector u makes with the positive direction of the...

A: Given:-u=92i-92jux=92uy=-92θ∈[0, 2π)

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the...

A:

Q: Find the area of the surface obtained by rotating the curve y : sin x from x = 0 to x = 1.4 about th...

A: Given region bounded by y= sinx  from x=0 to x=1.4 

Q: E. y = xArctanx - In V1+x

A:

Q: (-1)n+l2nx" n2 + 3 Determine the interval of convergence of n=1

A:

Q: Watch help video A rectangle has a length of 7 inches and a width of 11 inches whose sides are chang...

A: topic- application of derivatives