Find a vector function that represents the curve of intersection of the paraboloid z=7x^2+5y^2 and the cylinder y=5x^2. Use the variable t for the parameter. r(t)=⟨t, ,  ⟩

Q: Given the differential equation y" - 6 y' = 0 Determine the Characteristic Equation for the Differen...

A: First we find out the characteristic equation of the given differential equation.

Q: Exact Differential Equations (16) (17) (2xy + 1)dx + (x² + 4y)dy = 0 (18) (6xy + 2y² – 5)dx + (3x² +...

A:

Q: Use the Comparison Theorem to determine whether the integral is convergent or divergent. 37x dx x* +...

A:

Q: y = Ceax cos(bx) + C2eax sin(bx); a and b are parameters

A:

Q: 3. (10 — 6у + е 3а) da — -32 2dy = 0

A: The given differential equation is: 10-6y+e-3xdx-2 dy=0

Q: x- 3 lim X3 x2 - 2x – 3 5.

A:

Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is inc...

A:

Q: Find the particular solution: (D^2-4)y=4x-3e^x

A: We need to find the particular solution of : (D2-4)y = 4x-3ex

Q: Determine whether the integral is convergent or divergent. 33 9(x – 1)-1/5 dx convergent O divergent...

A:

Q: x=3, y=9, z=3 please show me how to convert to spherical coordinates

A: x=3, y=9, z=3 To convert to spherical coordinates  

Q: The distance from the point (-1, -2, 3) to the line x = 1 + 2t, y = 2 - t, z = 3 - 2tis [a] (input e...

A:

Q: You have a wire that is 86 cm long. You wish to cut it into two pieces. One piece will be bent into ...

A: We need to find length of wire that will be bent into square.

Q: write the given expression in the form of u^2 - a^2: x^2 - 6x + 5 is equal to. SUBMIT YOUR SOLUTION ...

A: Here we have to use the completing square method

Q: Find the antiderivative for each function when C equals 0. Do as many as you can mentally. Check you...

A:

Q: Find the general solution of * y" - 3y' + 2y = 2x² + 1

A: Given: y''-3y'+2y=2x2+1 So, we can also write as: D2-3D+2y=2x2+1 So, the auxiliary equation is: m2-3...

Q: The height (feet) of an object moving vertically is given by s = - 16t2 + 144t + 108, where t is in ...

A:

Q: Evaluate the integral. 0.4 x2 dx 4 - 25x2 |

A:

Q: Find the exact value of each exp V3 sin 2 Si

A:

Q: Find the exact value of each expression.

A: For 5:    cot23π4=cot3π4=-1

Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. Enclose arguments of funct...

A: We have to find integral

Q: - ydx + (x ++/y )dy = 0

A: We have to apply substitution to solve the problem After substitution we have to integrate

Q: Determine whether the integral is convergent or divergent. 2 dy 4y - 1 convergent divergent If it is...

A:

Q: Find the limit of lim 7+8x+9x4 x4

A:

Q: 14) sin- 1 2 /-

A: 14. let x=sin-1(12)     x=π6                    (∵ sin(π6) = 12)

Q: dy - 6/7 = 3x dx and y(- 1) = - 3. Find the function y(x) satisfying The function y(x) satisfying dy...

A:

Q: do not evaluate)  When finding the volume generated by revolving y = 2 − x^2 and y = x^2. JUST Set ...

A: Given: y=2-x2y=x2

Q: 1. siny dx + (x - sin? y)dy=0

A:

Q: For which value(s) of a and b is y = abx concave up? b>1, a<0 00 0<b<1,a<0 b>1,a>0

A: We have find correct option

Q: Find the slope of the line tangent to the curve x + sin(y-π) = 2x3 + ey at thr point (-1,0).

A: Find dy/dx 

Q: 1 Find the vertical and horizontal asymptotes of the function f (x) = , where q (x) = (ya+10)(10 – x...

A:

Q: Confirm that the below limit meets the conditions to apply l'Hôpital's Rule and then solve the limit...

A:

Q: Verify that the area under the curve y = 1/x from x = 1 to x = m equals 2m, the area from x = 3 to x...

A:

Q: For function, find the point in the graph at which the tangent line has slope 9 Y= -0.025x^2+6x What...

A: The given function is:Y=-0.025x2+6xThe slope is 9

Q: 2) Explain in your own words what is meant by lim f(x) = 5. x→2 Is it possible for this statement to...

A:

Q: A radioactive substance decays at a rate that is proportional to the amount of the substance present...

A:

Q: Find the general solution of = 0 y" – 2y"' + 10y":

A: Given: y(iv)-2y'''+10y''=0To find the general solution of given differential equation:General soluti...

Q: A' + BT

A: Given: A=11134-6424848-56526117B=3-4858122646742638 To Find: A-1+BT

Q: A. Evaluate each of the following indefinite integral: 13 1.

A:

Q: Find the sum of the infinite series, if it exists. -16 -64 32 8, , 5, 27· 3 Enter the sum as a fract...

A: The given infinite series,8, -163, 329, -6427,.......

Q: For any polynomial function f(x), the limit of f(x) as x approaches a is always f(a). Select one: O ...

A:

Q: Question 14 (1 point) Find the limit of the infinite sequence. 2, 2, 2, 2, 2,. Enter dne if the limi...

A:

Q: 3. Find the area bounded by the graph of the indicated equations over the given intervals (when stat...

A:

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

A:

Q: Find the integral. e4X cos 3x dx + C

A:

Q: 3. Find the Scalar eguation of the plane containing the line rt) =<!,2,-37+ -3,2, 17 and the point P...

A: Given problem:- Find the scalar equation plane containing the line  r (t)= &lt;1,2,-3 &gt; + t &lt; ...

Q: Kagura stayed at Figaro and ordered a cup of Frappuccino. When the coffee was served at around 8:15 ...

A: The given information can be described in the table below: Time Temperature °C 8:15 PM 75 8:3...

Q: a videoke machine can be rented for php 1000 for three days,but for fourth day onwards,an additional...

A:

Q: the arm of a ferris wheel starting from the center to its passenger seat has a length of 80 ft. how ...

A:

Q: Find the total mass of two turns of a spring with density p in the shape of the circular helix below...

A:

Q: Homogeneous Differential Equations (11) (x – y)dx + xdy = 0 (12) (x sin- y cos) dx + x cos 2 dy = 0 ...

A: