A general equation of conic section is given as y + 4x + 4(x – 2y) + k =0. Determine the value/s of k so that conic section is an ellipse.

Q: If f(x) = 2x - 1, what is the equation of the normal line to the graph of fat (1, 1) O A. x - 6y = -…

A: 1) f(x)=2x3-1 at (1,1) 2)f(x)=g(u) and g(u)=u(x).

Q: Choose the values that would complete the general solution for y = arccos (-1 ±2tk HIN O O O O 0

A: Given:     y= arccos-1

Q: Tutorial Exercise Use the position function s(t) - -4.9t + 650, which gives the height (in meters)…

A:

Q: 6 arcsin(sin 40 ) = _____. -40° -220° 40° 220°

A: Solve the following

Q: [9] (a) and (b) Set-up and solve the definite integral to find the surface area when the curve is…

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A:

Q: Evaluate/Find the following integrals. 2 4. S2-3 3 -dy 1 У +у 2

A:

Q: Find the Laplace transform of f(t) = u(t – 4) · e' F(s) %3D 8-2

A:

Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

A:

Q: Send help, ma'am/sir please

A:

Q: 31. *7/2 csc t cot t dt

A:

Q: Determine whether each improper integral below converges or diverges. 1. Sxe-3x dx. хе 1

A:

Q: Find an equation of the tangent plane to the surface at the given poin h(x, y) = In Vx2 + y?, (6, 8,…

A:

Q: ((- +3) dt 21.

A: the given integration,       ∫0245t3-34t2+25t dt

Q: Given that Vf (7, -9) = 11 i – 6j, find the directional derivative of the function f at the point…

A: Given,           ∇f7,-9=11i-6j.            The function f at the point 7,-9 in the direction of…

Q: indefinite integrals: Show complete and detailed solutions. Express your answers in simplest form…

A:

Q: 2 3 25. Ji dt 4

A:

Q: | (3 + xx) dx

A:

Q: r'dA D = {(x, y) : 1 <I<e, 0Sys In(r)}

A: We need to apply the integral limits appropriately and then integrate it.

Q: (ysin x+xy cos x)dx+(xsin x+1)dy = 0 Ans. xy sin x+ y = c

A:

Q: Determine whether each improper integral below converges or diverges. dx 3. S 0 x* + 2x – 3

A:

Q: 1+ 4" 1+ 3" n=1

A:

Q: (16030186) QUESTION 3 Use partial fractions to calculate the fol 3x-6x-1 3.1 dx (x²+1)(x+1)(x-1)

A:

Q: Find the volume V obtained by rotating the region bounded by the curves about the given axis. y = 5…

A: Given that        y = 5 sec(x), y= 5 cos(x), 0&lt;=x&lt;=pi/3 ; about y=-5 Here we have to find the…

Q: (p? –1) cos[cosh (In r)]dr

A:

Q: Which of the following parametric functions create this graph? -4- -2- -2 2 -2 -4. x (t) 4 cos(t)…

A:

Q: Find the directional derivative of f at Pin the direction of a. f(x, y) = 4x* y²; P(3, 2); a = 3 i –…

A:

Q: 5. Evaluate the indefinite integral, ſ' coth- dx. - 6.

A:

Q: Evaluate cos[arcsin ( -) + arccos 1. (10 + 13 v3)/26 O (12 + 5V3)/26 (12 + 5V5)/26

A: Ģiven, cos(arcsin(-1/2)+ arccos(5/13))

Q: (xy+ yz+ xz)dV B = {(x, Y, 2) | 0 < I < 5,0 < y < 4,0 < z< 7} . Do not round. Hint: dV can be…

A:

Q: Suppose that it is given to you that f′(x)=(x+5)(10−x)(15−x) 1.The first inflection point (from the…

A:

Q: (b) [ z0- r2 re dr

A:

Q: cot e dv cot ( +9)1-cos? e Irm

A:

Q: Suppose that o f (x) dx = 3. Find L f(x) dx if, %3D

A:

Q: ) frcos () ->]dx +: - y dx + xdy = 0 %3D

A:

Q: Verify that the Intermediate Value Theorem applies to the indicated interval and find the value of c…

A: Solution According to Intermediate Value Theorem, a function f(x) is continuous and k is any number…

Q: Find the derivative of the following functions from first principles. (i) x? (ii) e* (iii) log (x+…

A:

Q: Simplify y = arccos. 3

A:

Q: 30. | (Зи — 2)(и + 1) du

A:

Q: In V3 dx 1+e2cx

A:

Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

A:

Q: S-1+2 dt

A:

Q: 7) Find the radius of convergence and interval of convergence of the following series: (х — 2)" | n²…

A:

Q: tan(arctan 5) = _____.

A: Since we know that tan(arctan x) = x

Q: If z = xe" and x = t2, y = Vt then the value of dz at t = 1 is equal to . dt Select one: True False

A: Solve the following

Q: Find an equation of the line that passes through the points. (1, -2), (3, -2) Sketch the line.

A: Note to student : Hi. Thanks for posting your queries. But as per our Bartleby Answering Policy, we…

Q: 8x + 13 2. S dx 3 4x + 8x + x + 2

A:

Q: find the Inverse LaPlace Transform, L ¯'{F(s)}. 32 L-1 + 4s. А. 4 — 2сost 8 – 8cos2t С. 8cos2t D. 1…

A:

Q: 7 dx 5. S 2 2 3 xVx-4

A: We will solve the integration.

Q: 4. V21+4:-z dz

A: