Use the table to solve. X g(x) -2 1 5 a. (f+g) (4) = = B. (f-g) (2)- c. (²₁₂) (-2) = d. f - O to O 2 1 -1 4 9 5

Q: 2. A spring with a 4-kg mass has natural length 1 m and is main- tained stretched to a length of 1.3…

A: Let's find position function of mass at time t.

Q: Find the distance from the point (6,-5,-4) to the yz-plane

A: Given point (6,-5,-4)

Q: Use the Divergence Theorem to evaluate the surface integral F. ds. F = (x³,2, z³), S is the sphere…

A:

Q: Consider the curve x²y + y²x = 6 A) Find in terms of x and y B) Write the equation for the tangent…

A:

Q: The bearing from city A to city B is S 20°E and the bearing from city B to city C is N 55°E. (See…

A:

Q: 1. Given that sin(ryz) = x + 2y + Arctan(y), use implicit differentiation to find

A: note : -  since you have asked multiple questions but according to bartleby guideline  i only have…

Q: true or false?

A:

Q: h(t) = 4e5t-7t-3 Determine the value of h'(-1).

A: Given query is to find indicated derivative.

Q: Given the vector-valued functions i(t) = et + et + 5tk (t) = 3ti + 3t²j5k d ind(u(t) (t)) when t =…

A: Given vectors:- u→t=e5ti+e-4tj+5tk v→t=3ti+3t2j-5k

Q: Find the values of x, y and z that correspond to the critical point of the functio z = f(x, y) = 4x²…

A: for critical points put  fx=0 and fy=0∂xn∂x=nxn-1∂constant∂x=0

Q: A graphing calculator is recommended. Use a graphing calculator to graph the solution of the system…

A: Solution: Given data, y ≥ x3    2x + y ≥ 0 y ≤ 2x + 5

Q: Find the minimum and maximum values of the function f(x, y) = x² + y² subject to the given…

A: The function fx, y=x2+y2 subject to the constraint x4+y4=2. We have to find the maximum and minimum…

Q: 6 6 If [ f(x) dx = 33 and fºs g(x) dx = 16, 6 ¹° [3F find [3f(x) + 4g(x)] dx.

A:

Q: Given f(x, y) fzz(x, y) = fzy(x, y) = – x³ − 3xy¹ + 3y5, find

A: f(x,y)=-x3-3xy4+3y5for  fx(x,y)  assume y=constant and diffrentiate with respect to x of…

Q: Find the derivative of f(x) = 2g³x - 1

A:

Q: Suppose f(x, y) = xy² + 3. Determine each of the following: f(0, -2)= f(-2,0)= f(0,0)= f(-3,-2)=…

A:

Q: could you please simplify what it means after the third U in both answers . like write it in another…

A: Please see the answer.

Q: -2 0 1 O: 2 Find the absolute maximum of f(x)=√√4x2² on [-2, 2].

A: Here we have to choose the correct option.

Q: Let f(x) = lim x →-5- - - 6 48 x-3 Compute the quantities below. Write "DNE" if the limit does not…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: For x > 0, the function F is defined by Find F'(x): - Lo (³ +5³) dy In(x) F(x) = F'(x) =

A:

Q: Show that the differential form in the integral is exact. Then evaluate the integral. (0,1,2) S…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Entered (2*x)/[(x^2)+(y^2)] (2*y)/[(x^2)+(y^2)] Answer Preview ast one of the answers above is NOT…

A: given function is f(x)=xye-9ythen finding following partial derivatives :--(1) ∂f∂x:- so…

Q: Σ n=1 h + 1 2² η

A:

Q: Suppose that the monthly marginal cost for a USFS approved wildfire water pump is C'(x) = 40x + 715…

A:

Q: 4. Find the average value of f(x)=√√x over [-8,1].

A: Given query is to find the average value of function.

Q: The population of a town is now 40,000 and t years from now ill be growing at a rate of 300 sqrt of…

A: Let Pt be population of town at any time t

Q: Determine if p2 – 5+4 lim x1 x² + 4x - 5

A:

Q: Find the divergence of the field. F = 6ze5xyzi + 6ze5xyzj + 6ye5xyzk div F =

A:

Q: Find the gradient field of the function, g(x,y,z) = e² - In (x² + 4y²). ¹= Di + i + Dk. The gradient…

A:

Q: (4) Determine whether the series converges conditionally, absolutely or diverges. (a) (b) IMBIMB n=1…

A:

Q: At OHaganBooks.com, the rate of net sales (sales minus returns) of The Secret Loves of John O, a…

A: To solve the following problem

Q: Use Lagrange multipliers to find the point (a, b) on the graph of y = e5, where the value ab is as…

A: Let's find point by using Lagrange multipliers.

Q: Suppose that a particle moves along a straight line with a velocity v(t) = 4 - 2t, where t is in the…

A: NOTE: Refresh your page if you can't see any equations. . the given velocity function is  and the…

Q: Solve for n: P = Poant

A: Given query is to solve for n.

Q: Rewrite each summation using the sigma notation. Do not evaluate the sums. a) 3+ 4+ 5+ . . . +93 +94…

A:

Q: The graph of f(x) = x² + 1 is given below.

A:

Q: Your company determines that the marginal cost, C', of producing the xth unit is given by the…

A: given  c'(x)=26x+8given  total cost of producing 39 units is $23,609∫xndx=xn+1n+1+c

Q: ezy -x³y +4 x 9. find the directional derivative of f at the point (1, along the direction of the…

A:

Q: 1) 2² Evaluate ze x² + y² + 2 dv where E is the portion of the ball x² + y² + z² = 1 that is in the…

A:

Q: Use the graph shown to find the following (a) The domain and range of the function (b) The…

A: We need to interpret the graph.

Q: At OHaganBooks.com, the rate of net sales (sales minus returns) of The Secret Loves of John O, a…

A: NOTE: Refresh your page if you can't see any equations. . the rate of net sales is given by where…

Q: Suppose that a particle moves along a straight line with acceleration defined by a(t) = t - 5/2 in…

A:

Q: b) 21 +2 01-8y=2002 dx

A:

Q: (b) xey 4x²

A:

Q: Suppose we have the force field F =. Find the work required to move an object > for 0 ≤ t ≤ 2m. on…

A: Given that , F=-y , x , z and rt=2cost , 2sint , t2π      ,    0≤t≤2π find the word required ?

Q: (b) Use Laplace transform to solve the following systems of equations y' + x = e³t x' - y = 0 1 x(0)…

A: Let's solve given two parallel differential equations.

Q: Suppose that the monthly marginal cost for a USFS approved wildfire water pump is C'(x) = 40x + 715…

A:

Q: Write an integral in the form A = increases from 5 units to 12 units. Evaluate the integral to find…

A:

Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and…

A: Please see the below picture for detailed solution. Note : As per rule I have to solve only 1st…

Q: Find the derivative of the function. f(x) = 5x²ln 3x

A: