Find a set of parametric equations for the line passing through the point (4, 0, 7) that is parallel to the plane given by x + y + z = 5, and perpendicular to the line x = 1 + t, y = 1 + t, z = 8 - t. (Enter your answers as a comma-separated list.)

Q: Show that (0,0) is a critical point of f(x,y) = x2 + kxy + y no matter what value the constant k has...

A:

Q: tan 2x lim 4.x4

A:

Q: Calculus

A: Topic:- calculus

Q: Use the Laplace transform to solve the given initial-value problem. y" + 4y' + 3y = 0, y(0) = 1, y'(...

A: We have to solve above Laplace transformation 

Q: A rectangular plot of land is to be fenced in using two kinds of fencing. Two opposite sides will us...

A: Answer: The solution is as given below:

Q: 2x5y' = y(3x* + y²) 4

A: Find your answer below 

Q: Find an equation of the tangent(s) to the curve with parametric equations E = t cos t, y =t sin t nt...

A: follow next step

Q: Express the function f(x) = g(x)^x) in terms of the natural logarithmic and natural exponential func...

A:

Q: cm/min

A:

Q: Which of the following functions are solutions of the differential equation y" + y = 9 sin(x)? y = 9...

A:

Q: 2) Show that y = A cos x + Bsin x, where A and B are constants, is a general solution of the differe...

A:

Q: 2n + 1 Σ n tan-1 n n=1

A:

Q: 4. S 2z3 el-z dz 5. S Vx In(Vx) dx Vr3 6. Si, Inx dx

A:

Q: .Evalnate. the following.denble.integral.s.by.conver.ting. bo ... polar.Coa.r.dinates. .... Ans: 36 ...

A:

Q: Let f(x) = x and compute the Riemann sum of f over the interval [7,8], using the following number of...

A:

Q: ind any critical numbers for the function f(x) = 6x - 3x +8 and then use the second derivative test ...

A:

Q: 2. Given the graph of f'(x), sketch a possible graph of y = f(x). Make your thinking clear using con...

A: We have to draw the graph of f(x).

Q: Calculate the fluid force on one side of a semicircular plate of radius 11 ft that rests vertically ...

A:

Q: S sin³ (2x)cos² (2x)dx

A:

Q: S sinxcos(2x)dx

A: We need to evaluate the following integral I = ∫sinxcos2xdx Formula Used: ∫xndx = xn+1n+1+C

Q: Find the sum of the infinite geometric series. If an answer is undefined, write UNDEFINED. - 216/49...

A: To find the sum of the geometric series.

Q: | csc*(5x)cot*(5x)dx CSC

A:

Q: Pls help ASAP. Pls show all work and calculations

A:

Q: Calculate the derivative of the following function. y=V19x - 8

A: Given,            y=19x-8To find : Calculate the derivative of the given function.

Q: Assuming that the equation below defines y as a differentiable function of x, find the value of dy /...

A:

Q: C. 2よx dり イル X-o,Y>め CSCE ウ-0)りこ6 V coso.vdvdo y26 CSCO リニズ dxdy vdvdo v°cose drdo 9PAP うえ tane= 2 C...

A:

Q: 1)State the order of each of the following differential equations d²y a) 22 + y = x dx - dx2 b) y' +...

A: The order of a differential equation is defined to be that of the highest order derivative it contai...

Q: 4. Use transformations of y= x* or y=x to graph cach function. (a) S(x)=(x+3)' (b) f (x) = (x-1)* - ...

A: a)y=x5Horizontal shift by 3 units towards leftf(x)=(x+3)5 The graph is shown below:

Q: dx

A:

Q: How many nonzero terms of the Maclaurin series for In(1 + x) do you need to use to estimate In(1.2) ...

A: A Maclaurin series is a Taylor series expansion of a function about 0.

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in...

A: Question- Find the point of diminishing returns (x.y) for the function R(x) , where R(x) represents ...

Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table....

A:

Q: f (x, y) ety + 4 cos Y. (1) Find the rate of change of this function at (3, 0) in the direction of i...

A: Find your answer below 

Q: Given the piece-wise function x² – 2x + 5, Зx2 — 2х —5 f(x) = 0 2 Find lim f(x) and lim f(x) x-2 x-...

A:

Q: ii) h(x) = e values for the functions along the interva

A:

Q: Mikasa is designing a new home and wants to put in a Norman window, which is window in the shape of ...

A:

Q: Let a = ci + j and b = 3i + 3j. Find c so that a and b are orthogonal. %3D C = i

A:

Q: An object is launched from ground level with an initial velocity of 50 m/s, at an angle of elevation...

A:

Q: Use polar coordinates to rewrite the double integral int _0^4 int _0^{sqrt{4-(x-2)^2}}  (x+y)/(x^2+y...

A:

Q: Let F and G be vector-valued functions such that F(t) = (cos(nt), e²t-1, t² – 1), Ġ(1) = (1, 1, – 1)...

A:

Q: 3x°- 4x g(x) = 2 x' +2 Find the derivatives final should have no negative powers. answer

A: We have to determine above derivative 

Q: Which of the following is a solution of the differential equation xy' +y = 4x? y = 14x-1 - 2x %3D Oy...

A: We can solve this problem by applying the concept of linear differential equation.

Q: Use an appropriate trigonometric substitution to evaluate the following definite integral 1 2+1 da. ...

A:

Q: 5. For each function i) list each real zero and its multiplicity ii) Determine whether the graph cro...

A:

Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table....

A:

Q: 10s² – 5 L-1 (s² + 1)(s² + 3)²

A:

Q: 3. Given the equation y = - 0.5 (x – 1)³ + 2 a) State the base/parent function: b) Use math words to...

A:

Q: Sketch the region R whose area is given by the iterated integral. *16 – y² dx dy 14 12 10- y 8. 4 2-...

A: Solve by using graph

Q: Find the derivative of the following function. f(w) = 8w° + 5w* + 4w %3D f(w) =D

A: We can find the derivative as below

Q: dx (p) x² + 25

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...