A balloon is rising vertically over a point A on the ground at the rate of 15 feet per second. A point B is on the ground level with and 30 feet from A. When the balloon is 40 ft from A, at what rate is its distance from B changing? (A) 10 ft/s (B) 11 ft/s 12 ft/s D 13 ft/s

Q: Find div F and curl F if F(x, y, z) = 4y°z°i – 8a*zl°j – 7xy°k. div F= curl F

A: we have to find curl and divergence of F.

Q: Given the expression below, y = ecos arc sec(ln(r |- determine y.

A: The derivative is given below

Q: A net is dipped in a river. Determine the flow rate of water across the net if the velocity vector…

A:

Q: 1. (Section 8.1) In surveying, it is often necessary to determine the height of an inaccessible…

A:

Q: Find the conservative vector field for the potential function by finding its gradient. h(x, y, z) =…

A: Given problem:- Find the conservative vector field for the potential function by finding its…

Q: Solve for the derivative of y = x(e*) %3D

A: Find your answer below

Q: Find the indefinite integral. (Use C for the constant of integration.) 4 dx V 81 – (x + 9)2

A:

Q: Fill In The Blank Refer to the given below. Find the indefinite integral. Simplify your final…

A:

Q: Find div F and curl F if F(x,y, z) = x°i – 11j + yzk. - div F= curl F=

A:

Q: Find the amplitude, the period in radians, the phase shift in radians, and the vertical shift. Then…

A:

Q: Question 5 Given the expression below, y = ecos" arcsec(ln(r 1)) determine y. Upload Choose a File

A:

Q: Find div F and curl F if F(x, y, z) = xz°i+ 5ytx²j+4z² div F= curl F=

A:

Q: 3. Find y" y = vx² – 4 -

A: Given query is to find the derivative of the expression.

Q: 1. Find the area bounded by the parabola y=4ax, the x-axis, and the lines x=4a, x=9a.

A:

Q: Evaluate the double integral.

A:

Q: 2. Integrals containing sin u cos v can be solve using identity. (a) Double-angle (b) Half-angle (c)…

A: Let's find.

Q: Differentiate the following function y = e log(4") You may use Insert -> Equation to help you input…

A:

Q: Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding…

A:

Q: Consider the quadratic function g(x)=x²-4x+36. Define a new function S(x) by S(x)=the slope of the…

A: As per our norms we have to write three multiple questions at a time kindly repost remaining…

Q: Find V. (F x G), if F(x, y, z) = 3xi +j+ 10yk and G(x, y, z) = xi + yj – zk. - V. (F x G) =

A:

Q: A proton traveling at 31.0° with respect to the direction of a magnetic field of strength 3.23 mT…

A: This question can be easily calculated by applying the concept of motion of particle in a magnetic…

Q: In 1 decimal place Find the Surface Area generated by rotating the first quadrant portion of the…

A:

Q: III. Do as indicated showing the details of your work. Show your complete solution on the space…

A: A detailed solution is given below.

Q: Find curl (7z i + 8x j+4y k).

A:

Q: Evaluate the integral.

A:

Q: Evaluate the integral / (4x + 18y) dx + (27x – y)dy along the parabolic arc y = x? from (0,0) to (1,…

A:

Q: Solve y" – 2y = x²

A: We have to find the solution of the given differential equation.

Q: 2. By differentiation rules , evaluate the derivatives of the following and simplify as possible:…

A:

Q: Find the area of the loop. Round to 5 decimal places. Technology only for the integral. Do not…

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) COS X dx (sin x)20

A: Given, ∫cosxsinx20dx We have to evaluate the indefinite integral.

Q: 21 3x7 + 8x 5x

A: Given: y=3x7+8x5-215x

Q: 3. [sinh ot e"dt Ans.

A:

Q: 2. Find the Area bounded by the curve y=4-x2 and the x-axis.

A: 2. The area bounded by the curve y=4-x2 and the x-axis Note:    Multiple questions are given, we are…

Q: dx Solve the separable differential equation dt and find the particular solution satisfying the…

A:

Q: Find the curvature and the radius of curvature at the stated point. r(t) = 4 cos(t)i+5 sin(t)j+ 6tk;…

A:

Q: Question 2 Determine the derivative of sec(x) tan(x) O sec z + sec z tan? x 2 sec? z tan x sec x O…

A:

Q: Find V· (V × F), if F(x, y, z) = 3ei+ 4.xe®j – 2ev²k. V·(V × F) =

A: We need to find dot product.

Q: Sketch the region whose area is given by the definite integral. 8. x dx

A:

Q: Find the sum of the following power series: 3 3.7 1+7** 4-8 3.7.11 3.7.11.15 + 4.8. 12 4.8. 12• 16…

A:

Q: A large corporation with monopolistic control in the marketplace has its average daily costs, in…

A: Let's find.

Q: Find both first partial derivatives. z = 15XVY 15xVy %3D dz az

A: We need to find partial derivative.

Q: Use the formula k(t) |r(t) × r"(t)|| x r" (t)|| to find «(t). ||r(t)||° r(t) = ti+ t5j «(t)

A: To find k(t).

Q: X= 6 The area enclosed by the curves Y= and y= 2x from x= 1 to x= e is 2) e +1 O 3) +1 O 4) 2-2

A: Given query is to find the area enclosed by the curves.

Q: *+ 2y = te-2t, y(1) = 0 2. Solve the IVP: dt

A:

Q: Evaluate the line integral -ydx + xdy along the curve C : y? = 30x from (30, 30) to (0,0). NOTE:…

A:

Q: Find the formula for the Riemann sum obtained by dividing the interval [– 1, 0] into n equal…

A:

Q: Find V · (V × F) if F(x, y, z) = 3 sin xi + 6 cos(6x – 7y)j + 3zk.

A:

Q: dx V25 – x

A: Given problem:-

Q: Given: y = arctan sinh find y' at x = 2 %3| cosh 1 %3D 1+sinh? 1 cosh 1 O y = %3D 1+sinh 1 cosh 1…

A:

Q: Find V x (V × F) if F(x, y, z) = 9xyj+ 6xyz k. V x (V × F)

A: WS have to solve the vector