All edges of a cube are expanding at a rate of 3 cm per second. How fast is the volume changing when each edge is 5 cm? 25 centimeters per second 75 centimeters per second 225 centimeters per second 675 centimeters per second

Q: Use the half-angle formulas to find the exact value of the trigonometric function sin 112.5°. ...…

A: Use the half-angle formulas to find the exact value of the trigonometric function sin 112.5°.

Q: Find the volume of the solid Formed by revolving the region bounded by the graphs OF y=x +1, y = 0,…

A: Find your answer below

Q: Given: z = a' + æy", r = uv² + w®, y = u + ve" az Find when u = 2, v = – 3, w = 0 dv

A:

Q: Use the formula k(t) ||r(t) × r"(t)|| to find «(t). %3D r(t) = t²i + t°j K(t)

A: We have to find the value of k(t).

Q: Find two positive numbers that satisfy the glven requirements. The second number Is the redlprocal…

A:

Q: Q1: Find dy/dx for the following functions:- (1) e – 3* = x sinh y (2) tan-12 = (Inx' + y²)

A:

Q: 15 of 20 -722 –8x =? limz→00 3–72²+6x+6 O Does not exist O 00 O 7

A:

Q: Use the right triangle and the given information to solve the triangl b= 8, B=41°; find a, c, and A…

A:

Q: Find curl (8z i + 9x j + 10y k). curl(8z i + 9x j+ 10y k) Di +(i Dj +( )k

A:

Q: 6. What is the general solution of the following differential a²ycdy d²y dx2 dy equation -5 +4y=0)(4…

A:

Q: sin() cos( 2

A: To Find :   ∫sinx2cos3x2dx   Note: 2sinAcosB=sin(A+B)+sin(A-B)

Q: Find the indefinite integral. (Use c for the constant of integration.) (4t³i + 10tj – 3Vtk) dt

A:

Q: 3. Use chain rule to find given w = Vx2 +2y2 + z² and a cos (st), y = -2s In t ane 2 = 3s?Vt. 3s2Vt.

A: Follow the procedure given below.

Q: Find V. (V × F), if F(x, y, z) = 3e²*i+9xe*j – 4ev*k V· (V × F) =|

A: Use the curl and divergence for the F.

Q: answer

A:

Q: (1) fx sin x dx

A:

Q: Given a differential equation dx with the initial condition, y cos (2x) 8

A:

Q: x+1 8. -dx (x-1)

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Solve the following problems. 2. 2x°cos 5y+ x tan5y dy=0

A:

Q: 4. The voltage signal from a standard wall socket can be described by the equation V (t) = 325…

A:

Q: Find the value of each of the six trigonometric functions of the angle 0 in the figure. V10 sin e =…

A:

Q: Determine the vector field of F. F(x, y) = 9i – 3j %3D

A:

Q: X+3 24) Find the integration by using: J: dx 2x3-8X

A:

Q: Solve tan(x)=5in the interval osxs360°,giving your solutions to 2 decimal places

A: Given,  tanx=5 x=tan-15 x=78.69°

Q: Apply different integration techniques in solving the integrals. - Properly carry out integration…

A:

Q: Suppose that w = f(r, s, t), where r = r(x, y), s = s(r, y), and t = t(x, y). Which of the following…

A: Solution is given below:

Q: e the formula k(t) = F(t) × r"(t)|| to find k(t) r(t) = t’i+ t°j

A:

Q: x-6x-4 dx x+2

A:

Q: Answer the question in FULL details. Show ALL your steps and work in your calculations. Answer in…

A:

Q: Calculate ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiating dt dt' the product directly and…

A: r1(t)=cos⁡(t)i+sin⁡(t)j+6tk,r2(t)=5i+tk Given:  ddtr1(t)⋅r2(t)=r1(t)⋅dr2dt+dr1dt⋅r2(t) and…

Q: Problem 2: Given a function 4x-1 f(x) = 2x +1 Use tabular method to determine if the limit of a…

A: we make chart of the values of x and the value of f(x) to see trend toward the limit…

Q: 4. Consider the matrix А 5 2 One of the eigenvectors of A is given by [1 -1]'. Find the eigenvalues…

A:

Q: In x

A: A detailed solution is given below

Q: 2. A garden lot is bounded by the curves y = x and y = 9. If its area is in square meters and it…

A:

Q: Evaluate the definite integral. e12' i + e¯*j+tk )dt e12 – 1 1 (e- – 1) + 12 O el2 – 1 e12 -i - (e-…

A: Integral

Q: Answer the question in FULL details. Show ALL your steps and work in your calculations. Answer in…

A: We want to find the absolute extremum of the given function on the interval [-2,2]

Q: Find the volumes oF the solids geverated by revolving +he regions bounded by the graphs oF the…

A: Given:-  the region bounded by  y=2x2y=0  and x=2rotating about the x-axisusing washer/disk method…

Q: Q2) Find the integral of: L*„6 tan*x dx 4

A: LetI=∫-π4π46tan4xdxTake the constant…

Q: 2. Find the r educed echelon form of the fo A = 0 0 0 6 54 0 (714161 Show your working

A:

Q: Find curl (3z i+ 4xj+9yk). curl(3zi+ 4xj+ 9yk) = ( i )i + ( i j+( i %3D

A: We have to find the curl of the given vector.

Q: dy then dx If y = In(x/x² + 1), 2x2 + 1 C) x/x² + 1 2a2 +1 D) x(x² + 1) x² + x +1 E) x(x² + 1) 1 A)…

A: Find the derivative

Q: dy Find of sin x + cos y = ety. dx

A:

Q: - sin² ydy 6. 4 tan" y

A: As per the guidelines I can solve only first question

Q: (-5 S + (0.9)" | lim

A: Given query is to find the value of the indicated expression.

Q: Find div F and curl F if F(x, y, z) = 17y*z*i – 3x'2ºj – 3ry®k. div F= curl F=

A: Let's find.

Q: QI: Find dyldx for the following functions:- (3) y = (tan x)tnz+ t (4) y = sin-(x² +x) + 5"

A:

Q: 2 ー (4-x²) dx -2

A:

Q: Find div F and curl F if F(r, y, z) = xz'i+ 4y*x*j+ 62²yk. div F= curl F=

A:

Q: In a

A: We have to find given indefinite integral.

Q: Solve the triangle shown to the right. 60° (Simplify your answer.) as (Type an integer or decimal…

A: