Let f(x, y) = x² + In(2x – y). Find the gradient Vf(x, y) at the point (1, 1). O < 2, 1 > O < 4, -1 > O < 4, 1 > O < 2, -1 >

Q: The region bounded by the curve x=y2, the y-axis, and the line y=2 is revolved about the x-axis. Fin...

A:

Q: e^-3(t-3)-e^-3(t-5)=?

A: Solution is given below:

Q: conditions for each equation: d²x 2 dx (a) + x = 1 dt F(0) = F'(0) = 0 %3D %3D dt2

A:

Q: b) | sin “ xdx d) [ /tan x sec“ ,

A: Given problem:- b.   ∫ sin4(x) dx  d.   ∫√tanx sec4(x) dx

Q: 2x2 Use the guidelines to sketch the curve y = - 1 A. The domain is {x | x? - 1 + 0} = {x | x * ±1} ...

A:

Q: Find the limit. Use l'Hospital's Rule where appropriate ex + e-X - 2 lim x-0 ex – x – 1

A:

Q: 5. Find the point on the parabola y=2x-3x+6 where the tangent line is parallel to the line 7x+y=1.

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: Find the mass and center of mass of the lamina that occupies the region D and has the given density ...

A: Points of intersection,y=4x and y=0(0,0)x+4y=1  and y=0(1, 0)y=4x and x+4y=1x+16x=117x=1x=117 → y=41...

Q: Determine a value for p so that h(x) + px? -3x + 8 has an inflection point at x = 4. %3D Answer How ...

A:

Q: Find a polynomial equation that passes through the points (1,3), (0,1), (1,3)

A:

Q: c notation and fractions where needed.)

A:

Q: ven the series 7" Σ n n=1 An+1 find the ratio an (Express numbers in exact form. Use symbolic notati...

A: Given query is to use ratio test, and find series converges or diverges.

Q: TT 2 Cos3 0, cos³ xdx хах

A:

Q: Problems: Find the general solution y9-2y9+y"=0|

A:

Q: Approximate the sum of the series correct to within 0.00001. (-1)" n= 1

A:

Q: 3x + 3y = 3 42. 8. 4x + 2y %D ||

A:

Q: 7. Find the equation of the normal line to the curve x+ = 2 at the point (1,9) 3x %3D

A: Simplify the equation of the curve: x+y3x=2

Q: 1. Eliminate the parameter to find a Cartesian equation of the curve with parametric equations z = e...

A:

Q: у%3D 2х — х", у%3D 2х — 4х -

A:

Q: The forward motion of a SpaceX Dragon, i seconds after touchdown, is described by s(t) = 198 – ti, w...

A: According to question,Given information,The forward motion of a SpaceXDragon, t seconds after touchd...

Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w ...

A:

Q: What is the surface area generated by revolving the parabola y = x squred from x = 0 to x = square r...

A: Given problem:- What is the surface area generated by revolving the parabola y = x2 from x = 0 to x ...

Q: - Is the given point a Solution to this graph? (-1,–2)

A:

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: 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: Find an equation for the tangent line to the graph of y = (x° - 4x) .3 at the point (2,0). The equat...

A: Given problem:- Find an equation for the tangent line to the graph of y = (x³ - 4x)10 at the point (...

Q: Effect of Advertising on Sales Metro Department Store found that t weeks after the end of a sales pr...

A: S(t)=B+Ae-ktB=46000(a) at t=1, S(1)=8451084510=46000+Ae-kAe-k=38510  →(1)at t=3, S(3)=6167061670=460...

Q: Can someone explain the difference between these derrivatives as in when do you use each one and if ...

A: We have to explain the difference between the derivatives as in when we  use each one and give examp...

Q: Construct a truth table to show that (pnq) → p is a tautology.

A:

Q: Find an equation of the tangent(s) to the curve with paramnetric equations ¤ = 1+ VE, y = e" at the ...

A:

Q: Sketch the region bounded by the given curves, then find its area. x=y2, x=y+6

A: Here we have to sketch the region bounded by the given curves.  We have, x=y2, x=y+6

Q: Use the graph of f in the figure to do the following. a. Find the values of x in the interval (0,5) ...

A: To find the x values where the function is not continuous and not differentiable.

Q: Find the solution of the initial value problem Please fill in a question quickly within a quarter of...

A:

Q: DSHUN EDWARDS Question 3 of 7, Step 1 of 2 2/17 Correct The effectiveness of a certain medical injec...

A:

Q: 4. y = 2x – x², y = 2x2 – 4x |

A: Since you have posted multiple questions i can do first question (no.4)as per our company guidelines...

Q: 6. Calculate the integral in parts: Je (2x + 4) cos(4x) da.

A:

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

A: We have to find the area formula and radius that will give maximum area.

Q: olve the bessel equatio

A: answer of given question is in step 2

Q: 14. What is height of the isosceles triangle with the greatest area that can be inscribed in a circl...

A:

Q: Use the guidelines of this section to sketch the curve. х — 5 f(x) x2

A: f(x)=x-5x2Plotting on graph on corrdinate axes

Q: Determine whether u and v are orthogonal, parallel, or neither. u = (cos(0), sin(0), –1) v= (sin(0),...

A: The objective is to determine whether U and V are orthogonal, parallel or neither. 

Q: D. Coefficients linear in two variables 6. (3x – y + 2) dx + (9x – 3y + 1)dy = 0

A:

Q: Find the critical numbers of the function f(x) = x – 12x2.

A: This is a problem related to derivative of the function. Based on the general formula we will calcul...

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

A:

Q: Construct a truth table to show that (p Ag) → p is a tautology.

A:   p q (p ∧ q) p (p ∧ q)→p T T T T T T F F T T F T F F T F F F F T  

Q: Express the parametric y = 2 +9 in the Cartesian form y f(x). curve x = t + 6

A: This question can be solved by eliminating t from both the equation.

Q: Let A,B be 2x5 matrices, and C a 5x2 matrix. Then(A-3B)C is * O not defined O a 5x5 matrix O a 2x2 m...

A:

Q: 2 x = 8 – y, x=y¯ - 8 ?, x =y² - 8

A:

Q: Let y 522 + 2x + 3. If Aæ = 0.4 at x = 3, use linear approximation to estimate Ay Ay =

A: