The planes I. and II, have equations IL : 6y+5z =-19, 5 II,: -x -4y+7z =1. State the normal vector of the planes [I1, and II,.

Q: (9xy-2y2) dx - (6x²- xy) dy =0

A: 9xy-2y2dx-6x2-xydy=0dydx=6x2-xy9xy-2y2dydx=x6x-yy9x-2y  

Q: 2.) State one of the two formulas for finding the derivative of a function f(x) that uses limits. Us...

A:

Q: Find the area of the surface obtained by rotating the curve y = 5x° from æ = 0 to æ = 9 about the x-...

A:

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the...

A: It can be solved using differentiation and quadratic formula.

Q: A particle moves along the x-axis so that at time t 0 its position is given by a(t)= t° – t² - 5t. D...

A:

Q: dy + 4y = 8 dy d. x- dx = (x – y)² %3D a. dr dy e. da dy + 4y = x? %3D b. = V1+x2 %3D dx dy dy c. dr...

A: This can be solved as follows:

Q: Use the degree 1 Taylor polynomial for f(x) = Vx centred at a = 1 (from question 2) to find an appro...

A:

Q: Find the area of the surface obtained by rotating the curve y = 5x° from x = 0 to x = 9 about the x-...

A: Let's find. 

Q: Evaluate the following. x2 - x 1 dx J1+3x2 – 2r3 CO 2 dx 1+2 sin a x2 +2 dx r+1 2)

A:

Q: Give the Maclaurin series expansion of f(x) = ln(3 – 2x). Determine its interval of convergence. App...

A:

Q: A particle moves along the x-axis so that at time t 0 its velocity is given by v(t) = 3t2 – 60t. Det...

A: v(t)=3t2-60t,    t≥0the particle is moving to the right whenv(t)>03t2-60t>03t(t-20)>0

Q: Evaluate the given integrals. Seš (6 – e) dx -1 3. es (6

A:

Q: ly Find tue indefinive intgrel by making ful frebstitution x = 4sin O. de (16-x²) %

A:

Q: Find the volume V of the solid S that results when the region bounded by y = x2, y = x, x = 0 and y ...

A:

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

A:

Q: X sin? - cos 2 2. -dx 2

A: Yes. This problem can be solved using Wallis formula.

Q: 2e3+6 + x Evaluate lim x-2 and write your answer in simplest form. 2x +4

A:

Q: Question 1 Find the area bounded by the parabola x = y? and y = x-2. Answer in decimal form.

A:

Q: Evaluate the expression gP6 8P 9.

A:  Question: Evaluate the expression 8P6

Q: Find y' if xY = yš. %3D y' =

A:

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. 1 x = -(y2 + 2)3...

A:

Q: yi + yi = 1, when x = 0, y = 4 %3D

A:

Q: E. y = xArctanx - In V1+x

A:

Q: The half-life of cesium-137 is 30 years. Suppose we have a 130 mg sample. (a) Find the mass (in mg) ...

A:

Q: Consider the following. w = xy2 + x?z + yz?, x = t2, y = 6t, z = 6 (a) Find dw/dt using the appropri...

A: Here, the given functions are: w=xy2+x2z+yz2, x=t2,y=6t,z=6

Q: d'y Find for x* +y* = 16. Express your answer in fully simplified form. dx?

A:

Q: Choose from these statements. The proof starements in correct order. Let (2, y) satisfy R and (y, z)...

A:

Q: By substitution u = x² + 5x, the definite integral (2x + 5) In (x + 5x) dx becomes Select one: O Non...

A:

Q: Given the function f(x) = +x° + x° + 2%x*, find all x-values where f has an inflection point. 6. Ans...

A:

Q: Find the derivative of y = 3sin2x A 6 sin x B 6cos2x с) 6sec2x

A:

Q: From Rogawski ET 2e section 8.1, exercise 9. Calculate the arc length of y = - x - In x over the int...

A:

Q: • TT 2. sin? cos' –dx 2

A:

Q: Evaluate the iterated integral. /2 x. 4 cos (x + y + z) dz dx dy

A:

Q: 221 writc a formnla for the function y =f cx) whose is shown fig: 2.

A:

Q: A rectangular box with a volume of 64 ft is to be constructed with a square base and top. The cost p...

A:

Q: Solve the homogeneous equation (x²+y²)dy + x²dx = 0 Please help.

A: x2+y2dy+x2dx=0rewrite in standard format x2+y2dy=-x2dxdydx=-x2x2+y2

Q: find the definite integral of [e^(arcsec x)] / [ (x)(x^2  - 1)^(1/2)]  dx as x goes from 1 to infini...

A: This question is related to definite integration, we will solve it using given information. 

Q: Write an equation for the line through center a circle (x2 + y2 + 4x+6y = 3) which make an angle) wi...

A:

Q: 7 Type equation here.

A: topic - indefinite integral

Q: Consider the following. 18/1 + e−x = 2 (a) Find the exact solution of the exponential equation in ...

A: The given equation,   181+e-x=2

Q: 2 dx tan x(5+ln sin x)

A:

Q: Find the derivative or y'. Show your step by step solution.

A:

Q: x (xyx)dx = y(xy2)dy wheen x-2,

A: As per Bartley guidelines we are supposed to answer only one question per post.  This post contains ...

Q: 2.x2 (а) lim,g->2 5x + 2 Зх — 6 а* (За — 1) (b) lim→∞ 50 + 4г — 2л3

A: A) limx-2 (2x2-5x+2)/(3x-6). B)limx-infinity(x2 (3x-1))/(50+4x-2x3)

Q: .Find the inverse Laplace transform of 3 F(s) s(s? – 2s + s) O-3 – 3t + 3e 03 – 3t + 3e-t 03 + 3t + ...

A: F(s)=3s(s2-2s+s)F(s)=3s(s2-s)F(s)=3s2(s-1)Partial fraction:3s2(s-1)=As+Bs2+C(s-1)3=s(s-1)A+B(s-1)+Cs...

Q: True or False: In the partial fraction decomposition, A D + x + 3 x + 8 В x(х — 1)(х + 3) х — 1 - we...

A: (x+8)/x(x-1)(x+3) = A/(x-1) + B/(x+3)+D/x A(x+3)(x) + B(x-1)(x) + D(x-1)(x+3) Ax2 + 3Ax + Bx2 -Bx + ...

Q: 5. S- x+4 -dx xp-

A:

Q: the second language and 60% passed i many, at least, should have passed in

A:

Q: A waste management company is designing a rectangular construction dumpster that will be twice as lo...

A: Explained below

Q: Question Find an algebraic expression equal to sin(sec- (5x + 1)). (You may assume that -5 < sec- (5...

A: We are given expression . Now,                  sinarcsec5x+1Use the following identity: sinarcsecx=...