d'y Find dx? 2 y = (2а-3)? dy 48 dx? (2г - 3)" O dy -12 da? (2г- 3)" O d'y 12 dx? (2a-3) dy -8 da? (2a-3)°

Q: Evaluate the integral (8x +12y)dx + (9x – y)dy along the parabolic arc y = x² from (0,0) to (1, 1).…

A: Topic:- integration

Q: A rectangle sign has a perimeter of 72 ft and an area of 320 ft2. What is the length and width of…

A: Solve the following

Q: Find the minimum amount of tin sheet that can be made into a closed cylinder having a volume of 108…

A: In this question we have to find the minimum amount of tin sheet that can be made into a closed…

Q: A water tank is in the shape of an inverted cone. The height of the cone is 10 meters and the…

A:

Q: (y – x) dx + 15x?y? dy

A: answer is in next step

Q: Describe the graph of the equation. r = 2 sin 10t i + 2 cos 10t j O It is a circle of radius 10 in…

A:

Q: Find the area of the region bounded by the graphs of the given equations. Enter your answer in exact…

A: Given :

Q: 3. If dt , find g'(2). 5. g(x) =

A:

Q: Find a particular solution of the DE: y" – 6y' + 8y = 64x?. C. yp = 8x + 12x + 7 E. None A. Yp = 4x?…

A: Solve it

Q: 22 r = 7 sin 0 + 50 cos O

A:

Q: A plane P, in R'is perpendicular to the vector n = (6, 2, 8), and contains the point (– 9, – 1, –…

A:

Q: It is known that dx Compute . Simplify the final answer. 2х-у dx

A:

Q: /hat is the area of the region bounded by the graphs of æ = y³ – 2y and DA = (3x – x² )dx DA = (? –…

A: Topic:- application of integration

Q: (y – Jx² + y² )dx -xdy = 0, when x = v3 and y = 1

A:

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

A: We need to find integral.

Q: a) Determine the intersection points. b) Draw a sketch of the graph. c) Find the area of the region…

A:

Q: undamental set of solutions of a homogeneous linear nth-order differential equati mprises(Choose…

A:

Q: Find T(t) and N(t) at the given point. r(t) = 11 cos(t)i + 11 sin(t)j + tk; t= -11 /122 T(5) V122 0,…

A: Given: r(t)=11cos(t)i→+11sin(t)j→+tk→ r'(t)=d11cos(t)dti→+d11sin(t)dtj→+dtdtk→…

Q: Using the laplace transformation formula, ∫ f(t) e^−st dt evaluate L[8t^2 e^-2t]

A: Laplace transform of the function f(x)Lf(t)=∫0∞e-stf(t)dt

Q: What is the volume of the solid formed by revolving the region bounded by the graphs of x2 = 5y and…

A: To find the integral of volume of solid formed by revolving the given region.

Q: Find div F and curl F if F(x, y, z) = xz°i+ 2y°x²j+ 5z'yk. ,62 div F= curl F=

A:

Q: What is the third derivative of the function: f(x) = x5 - 4x³ + 3x?? O 5x – 12x² + 6x O 20x? 24x + 6…

A:

Q: A ball is thrown into the air and its position is given by h(t) = - t² + 85t + 2 where h is the…

A:

Q: x2 dr. Væ + 2 1. Evaluate -1

A: Integrate by parts.

Q: Peaive marima and, minima, 4 any tar the funchno If there is not an answers write N/A Wde ms wefs as…

A:

Q: 16 d :| (2V8– 1) dt da. valuate dr. dx 5.

A: We have evaluate to the given expression

Q: 2. Show that if x and y are two vectors, then

A: Replace x→ by u→ & y→ by v→     Graphing software do not accept label x, y To show: u - v ≤u±v≤u…

Q: II P. Do Homework -Homework Chapter 4- part 1-Google Chrome…

A: Given query is to find the point where slope of tangent to the curve is zero.

Q: Let h(x)= f(g(x)) where f(x)=tanx. Then h'(x)= a) f'(tan x) g'(x) b) g'(x)tan(g(x)) c) g(x)…

A:

Q: Given | f(x)dx = 6 and | g(x)dx = 2 , evaluate 0.

A:

Q: 4- part 1 Find the derivative of the function f(u) = 4u° 4 - 2u1.8 0.4 %3D = (n),1

A: Differentiate wrt u

Q: 10 dx J6 x² – 25 (a) the given integration limits (b) the limits obtained by trigonometric…

A:

Q: 1 2 3 1+3* Use substitution to find the Taylor series at x= 0 of the function ... 1 What is the…

A:

Q: Evaluate the integral / (6x + 18y)dx + (12x – y)dy along the parabolic arc y = r from (0,0) to (1,…

A:

Q: Find div F and curl F if F(x, y, z) = xz°i+ 2y'x²j+ 2z²yk. %3D div F= curl F=

A:

Q: Find curl (3z i + 4x j + 7y k). curl(3z i + 4x j + 7y k) = i Di + ( Dj + ( i )k

A:

Q: Use Green's Theorem to evaluate the integral. Assume that the curve Cis oriented counterclockwise.…

A:

Q: if an open box is to be made using a square sheet of tin, 20 inches by 20 inches, by cutting a…

A:

Q: Let f(x, y, z) = x*y+ z* and x = st², y = st, and z = s²t. (a) Calculate the primary derivatives se…

A: Given,  f(x,y,z)=x4y+z4x=st2, y=st, z=s2t

Q: A stone is thrown vertically upwards, from the edge of a 5 m tall cliff with an initial velocity of…

A:

Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer…

A:

Q: 4. Find the equation of the tangent line and normal line that passes through the circle (x – 2)² +…

A:

Q: Solve the following differential equations of (x' +y')dx + (2xy + cos y)dy

A:

Q: If f(x) = u(x)t(x)w(x), then f'(x)= a) u'(x)t'(x)w'(x) b) u'(x) + t'(x) + w'(x) c) u(x)t'(x)w'(x) +…

A: Solution ) f (x) = u(x) t(x) w(x) To differentiate use product rule  [ Formula d/dx ( f (x) . g(x) )…

Q: On the axes below, make an appropriate scale and graph exactly one cycle of the trigonometric…

A: Here, the given function is: y=7cos(8x) Note that the period of the function is: 2π8=π4 Now, the…

Q: Find the average value of y = sin x between x = 0 to x = π.

A:

Q: .2 x dx 9 – 4x²

A:

Q: 1 dx Vx - Vx 3

A:

Q: Find the general antiderivative, F(x), for the given functions. a) f(x)=-sin? xcosx b) f(x) =/7-2x

A:

Q: S sin x In(cos x) dx X

A: