Find the unit tangent vector and the length of the indicated portion of the curve: (a) r(t) = (6 sin 2t, 6 cos 2t, 5t), 0

Q: Express the integral as an equivalent integral in which the z-integration is performed first, the…

A: corresponding limit after changing the order of integration  here y = z so only this limit is change…

Q: Determine the value of 7A+8M if 5x4 + 3x3 + 14x² + 16x + 6 A x – 3 За + М ¤(1+a² )² 1+x2 (1+æ²)²…

A:

Q: 1. The rodius of a circle is 9 centimeters. What is the area?

A:

Q: Given that y = 3e is a solution of the differential equation %3D y" + 3y' = 0. Then, by using…

A: Follow next step

Q: Ti al Write step-by-step solutions and justify your answers. Solve the initial-value problem y" +y -…

A:

Q: the position function, in meteres, of a particle that moves along a straight line is…

A:

Q: Write the radius of the circle x 2 + y 2 = 5 25 √5 5

A: General equation of circle is given by  (x-h)2+(y-k)2=r2  Where (h,k) is the circle and r is the…

Q: Find an equation of the plane. The plane through the point (7, 8, 1) and with normal vector 3i +j -…

A:

Q: p(x) = sin x cOs x Select the correct response. O tan x O cos? r- sin? x ,2 COS" X O sin x - x cos²…

A: p(x) = sinx/cosx here if sinx*cosx then any of the answer is not possible so the question is  p(x) =…

Q: 2 Determine f(x), given f'(x) = x´ – 3x + 1, and f(0) = 2.

A: As per the company guidelines we are supposed to answer only the first question.Kindly repost the…

Q: 16. Graph the line determined by the two points, and find the slope of the line: (-1,2), (7,8)

A: slope of the line passing through the point  (x1 , y1)  and (x2,y2) is m=y2-y1x2-x1

Q: Evaluate the upper and lower sums for f(x) = 2 + sin(x), OsxSA, with n = 2, 4, and 8. Illustrate…

A:

Q: Solve the initial value problem y" – 6y + 25y = 0, y(0) = 2, y (0) = -3. %3D

A:

Q: 1 The series k=1 10n converges. True False

A:

Q: Evaluate the indefinite integral. Sa V1 - a? dæ cos° 0 – cos 0 +C 3 - 5/2 (1-22)이2-3 (1- 22)이2 +C. |…

A:

Q: Find the are bounded by the curve y=x²-4, the lines y=0 and x=4.

A:

Q: Evaluate the integral dx (6х + 5)? y making the appropriate substitution: u = dx (6x + 5)2 II

A: Given query is to find the integral.

Q: FinD THE arza BOUNDED By THE CURVES : y° +y +Z %3D

A:

Q: 2 - 41 -y =0 /2

A: Area of curve = integration of ydx from x1 to x2

Q: Question 7 of 10 f (x) = x – 6x² + 9x - 2 Select the correct response 2.x2 + 12x – 9 - 6x - 12 372 –…

A:

Q: Find equations for the tangent plane and the normal line at point Po (Xo.Yo.Zo) (1,2,0) on the…

A: Let,  ϕ=-8cosπx+3x2y+exz+5yz-15∇ϕ=i∂ϕ∂x+j∂ϕ∂y+k∂ϕ∂z…

Q: Find the standard equation of the circle whose center is at (2, 2) and that passes through the point…

A: Given: Center=(2,2) Passes through the point (5,7)

Q: The result of the following double integral is 2 SS T oxy²z dxdzdy = ? -2°0 None of he others O -21…

A:

Q: (Drag and drop the missing words) is the of a definite integral as an endpoint of the interval of…

A: Answer is in below step.

Q: 5. SET-UP the double integral that solves for the volume of the solid: 3 3x+ 2y+ 4z = 12

A:

Q: Using "Numerical Differentiation (Backward Finite Difference)" Problem Solving f(x) = 2cos (3x-2)…

A:

Q: 5. The equation x² + y? + 2 y +z2 - 2 z = 0 is a sphere. Determine its center and radius.

A: Follow next step

Q: 43 A and B are B,3 matrices where lAl = -3 and IBl =2. Giren this, what is |-2 AD-2|?

A:

Q: 3. Determine the differential coefficient of y =-+2x – 3 when x = 7 4. If f(t) = 3 sin(4t + 0.12) –…

A:

Q: Find the length of the minor axis of the equation 4x 2 + 3y 2 - 32x + 12y + 64 = 0. 2√3 4 2√(11)

A: Ellipse

Q: Consider the differential equation y" – - 1ly" + 28y = 0 %3D

A:

Q: Consider the region bounded by x = 3y and x = y^3. A solid is formed by rotating the region about…

A:

Q: اسدمل Find the akeaf fak the faltowing regions Area enclosed by the diagram V= Sin 3

A: Area

Q: Question- Let R be the region bounded by x= y - 25, and x 1. Then draw the region and. evaluate the…

A:

Q: 1. For the shaded region shown, determine the following using vertical strip: 5 a. Area x= 2y - 3 4…

A: The given equations are: x=2y-3 and y=x-22-12. Fromx=2y-3, we get: y=x+32. Plug this into the other…

Q: 6. Given a 2-unit factor of 0.87 find each of the following: (round answers to 4 decimal places) a)…

A: Given :The 2-unit factor of 0.87.To find :The 4-unit factorThe 1-unit factorThe 1/3 -unit factor

Q: Two people who want to meet each other will show up independently at a random time between 7am and…

A:

Q: Write the general equation for the circle that passes through the points: (-1, 2) (4, 2) (- 3, 4)…

A:

Q: Given the curve y=x2 and a point (5,17) Find the x intercept of the tangent line to the curve…

A: We have to find x-intercep for the given Questions

Q: Use double integration to find the volume of the solid bounded by the cylinder x? + y? = 64 and the…

A:

Q: Find the graph of the equation 9x 2 + 25y 2 = 225.

A: Here we have to graph the given equation 9x2+25y2=225

Q: Find the limit. lim (t i – 3 j + r² k)

A:

Q: 144y + 864y - 25a? - 50x = 2329 %3D

A:

Q: Area bounded by the curves y=e*, y=e", x=0 and x=In2 (A) 604/9 B) 304/7 304/14 (D 502/9

A:

Q: Q4 Find the eigenvalues and eigenvectors of the matrix: 21 1 -1 2 -2 1-1

A:

Q: Provide a step-by-step solution to the following differential equation (linear quation) y' = x3 -…

A: I am attaching image so that you understand each and every step.

Q: (d) 10*+3 = 62r

A: Given,  10x+3=62x

Q: vertices (0,0), (0, 4), and (5,0).

A:

Q: 1. The volume V of a right circular cone of radius r and height h is given by V = r?h. %3D (a) Find…

A:

Q: Problem Write step-by-step solutions and justify your answers. 'Solve the initial-value problem y" -…

A: