Find an equation of the tangent plane to the surface at the given point. g(x, y) = arctan Y. (4, 0, 0)

Q: Find the integrals of the following function. 1. Se3xdx 2. S(e3x + 1)?dx

A:

Q: Find the solutions of the system of inequalities by graphing: x + y > –1; 2x + y < -3

A: x+y=-1y=-x-1(line with negative slope and intercept -1)2x+y=-3y=-2x-3line also with negative slope,…

Q: Solve the following. Show the step-by-step solution. 1. Find the equation of the tangent line and…

A:

Q: Find the Jacobian a(x, y, z) a(u, v, w) for the indicated change of variables. If x = f(u, v, w), y…

A: x=ρ sinφ cosθy=ρ sinφ sinθz=ρ cosφ

Q: Question 5 Find all the first sder partial derivatives for the following function. f(x, y) = x(x, y)…

A:

Q: 4. In the differential equation (6r-3y+2)\dr-(2x-y-)dy=0, we let the substitution =xp

A:

Q: Find the gradient of the function at the given point. w = x tan(y + z), (3, 9, –5) Vw(3, 9, -5) =

A:

Q: A=3 B=6 find the average rate of change of f(x)=3/x+b between x=A and x=A+h

A:

Q: 1. In the differential equation (r+2y-1)dx+(2x+4y-3)dy 0, we let the substitution %3D

A:

Q: Pirediond find the AREA baunded by the given Hek Curnd and The

A:

Q: Question 9 Below is a geometric interpretation of の) O Newlon's iméthod O Jacobi's method O…

A:

Q: 9y" + 6y' + y = 0, y(0) = -1, y' (0) = 2.

A: THE SOLUTION IS GIVEN

Q: 3. In the differential equation (2x+ y)dx- 3(2x+ y+4)dy=0, we let the substitution dy =,

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: Consider the following. u = i +j+k v = 21 + j - k Find u x v. Determine if u x v is orthogonal to…

A: u=i+j+kv=2i+j-ku×v=ijk11121-1u×v=i(-1-1)-j(-1-2)+k(1-2)u×v=-i-3j-ku×v=-i-3j-k

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

A:

Q: Find the domain of the vector-valued function. (Enter your answer using interval notat r(t) = F(t) +…

A:

Q: Find the area of the region enclosed by y = 4x and z = 6 – y. %3D %D 4 +2 Use horizontal strips to…

A:

Q: Txーt e lim 4x² 4,2 +4x

A: Consider the limit  limx→0 e2x-14x2+4x

Q: Find the solutions of the system of inequalities by graphing: x + y 2

A:

Q: Q1 (- Use the comparison test to verify that the following series converges: 1 n =17+n6

A:

Q: Find the value for k so that the function will be continuous at x = 3. - 10x? – 10x + 120 - 1 if x <…

A: The given function,  f(x)=-10x2-10x+120x-3-1if x&lt;3-7x2-70x-175+kif x≥3

Q: . Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x - y + z =…

A:

Q: Find the directional derivative of the function at P in the direction of v. g(x, y) = Vx2 + y2, P(3,…

A:

Q: Use the Taylor polynomial of degree four for the function f(x) = Vx + 4 at x = 0 1 P4(x) = 2 + 7x- 1…

A:

Q: 1. When finding the anti-derivative of a function, what is the rationale behind hav- ing a +C ?

A:

Q: Find the gradient of the function at the given point. g(x, y) = 13xeY/x, (5,0) Vg(5, 0) =

A:

Q: solve the following differential equations using the substitution suggested by the equation.

A:

Q: Solve the differential equations using the substitution suggested by the equation. (2x + y)dx -3(2x…

A:

Q: Evaluate the inclepinite infegral Cos 3X +3 dx Sin 3x

A:

Q: In(1+x) ferentiate f to determine the sum of the series n= +

A:

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

A: The given function is: f(x,y,z)=x2+y2+z2 which is to be minimized with the constraint function…

Q: 7. Evaluate the definite integrals. a) S TVr - Idx b) Si evE dx

A:

Q: rector-valued function. (Enter your answer using interval not :), where F(t) = cos ti – sin tj +…

A: We have to find the domain of the given vector valued function

Q: 1 e length of a petal on a certain flower varies from 2.56 cm to 6.76 cm and has a probability…

A:

Q: At the beginning of an experiment, a scientist has 400 grams of radioactive goo. After 75 minutes,…

A:

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: This is a question related to vector. Based on the general formula of plane we will solve.

Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

A: Using she'll method, volume is evaluated.

Q: Find the derivative f'(x) for the function f(x) = x² + x – 17. - O A. f'(x) = 2x – 16 В. f («) — 2а…

A: Find the derivative of f(x)

Q: Sketch flx) = 2 cos x-Sin 2x , osx<2o

A:

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) 2…

A:

Q: Eualuate Integral S3x+2 VT-25x?

A:

Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: 2. Find the most general anti-derivative of each of the following functions: a) f(x) = sin(x) b)…

A:

Q: For each specified discontinuity, sketch the graph of a possible function f(x) that illustrates the…

A: This is a problem related to limit and continuity. Based on the given RHL and LHL we will plot the…

Q: Find the area of the triangle with vertices P(1,5, –4), Q(0,0, 0) and R(4, 5, 1). NOTE: Enter the…

A:

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A: Given equation passing through the points (5 , -3, -2)  and  -23 , 23 ,1

Q: Compute f'(x) a.) f(x) = (x2+1)e-x^2 b.) f(x) = (4e-x-

A:

Q: The function defined by x2 if r 0 is continuous at a = 0. Determine the left- and right-hand…

A: We have to check our function is differentiable at x=0 or not

Q: Evaluate the following indefinite integrals. 1. S(5x + 4)11 dx 2. Sx (x² + 2)17 dx 3. fx²(9 – x³)5…

A: The solution is given below

Q: Below is a sketch of the graph of J.

A: we say at x=a limit exist if the both right and left side limit exits and equal at x=a