6. The graphs of f and g are given. Use them to evaluate each limit, if it exists. If the limit does not exist, explain why. y f(x) y=g(x) -1 a. lim[f(x) +g(x)] x-2 b. lim[f(x) - g(x)] ズ→0 с. ズ→-1 lim [f (x)g(x)]

Q: Suppose you need to know an equation of the tangent plane to a surface S at the point P(3, 1, 4). Yo...

A: The velocity vectors v1(t)→ and v2(u)→ are determined from the given curves r1(t)→ and r2(u)→ by usi...

Q: Suppose a 15-foot ladder leans against the side of a house so that the angle of elevation of the lad...

A: The objective is to find the distance of the base of the ladder from the side of the house.

Q: otential function? Show by example how to find a for a conservative field. How can you tell when ve?

A: We have to define potential function and explain  how to find potential function for a conservative ...

Q: Find the derivative of the function. Q(x) = V e8x + x %3D Q'(x) = %3D

A:

Q: You would like to use differentials to approximate the change in BMI when weight increases from 55 t...

A:

Q: x³ +1 7. S dx x+2 2x 8. e*+1 4 dx 9. 3x+2 10. (tan(Inx)dx

A:

Q: If f(x) = - 3x + 6x + 3, find the instantaneous rate of change of f(x) at x = 0. Answer =

A:

Q: 2 EX g. Evaluab..f. x.dA. whe. R.ia.the.rsgem.in.the frirst. R .quadrant..bounded.by.xy=16. Xa.8y.e....

A: ∫∫R f(x,y) dA = ∫∫R f(x,y) dx dy  Horizontal slide

Q: The annual incomes of five people are presented in the table below. When measuring the income distri...

A: Given:   Income data is given

Q: Simplify the expression. −2431,024−−−−−√5   Enter the exact answer. Hint: You can write roots as...

A:

Q: Let v be the blue vector drawn at point P. It is tangent to the level curve marked 7. What is Dz f(P...

A:

Q: Find (f o g)(x) and (g o f)(x). f(x) = 4x² – 1; g(x) == (fo g)(x) =| %3D (Simplify your answer. Do n...

A:

Q: 11 10 81 7- 4 3 + -1 0 1 2 3 4 5 6 7 6

A:

Q: Two cars start moving from the same point. One travels south at 16 mi/h and the other travels west a...

A: Given: Two cars start moving from the same point.One travels  south at 16m/h and the other travels w...

Q: Consider the following equation. x³ + 3xy 2y2 = 37 dy Step 1 of 2: Use implicit differentiation to f...

A:

Q: Use differentials to approximate the change in the BMI when weight increases from 55 to 56.5 kg and ...

A: Let's find. 

Q: x. 200 sin 3x 43. lim x0 5x - 4x

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

Q: (b) Find the volume of the region D bounded in back by the plane r 0, =0, 1-y, on the top by the par...

A:

Q: (-1)"+1

A:

Q: Determine whether the function is even, odd, or neither. f(x) = |x| - 2 Choose the correct answer be...

A: Given:- f(x)=|x|-2 To find:- Given function is even,odd or even

Q: Solve using horizantal Slide EX Evaluat..f.x.dA.whak.R.a.the.sgen.in.the figt. quadvant.bounded.b..x...

A: ∫∫R f(x,y) dA= ∫∫R f(x,y) dxdy =∫∫R f(x,y) dydx

Q: Answer 48. The vector cũ has the same direction as ū. 49. |l0 – ü|| is the length of the shorter of ...

A:

Q: y. -4

A: topic - indefinite integral

Q: A binomial probability experiment is conducted with the given parameters. Use technology to find the...

A:

Q: x + 49 dx

A:

Q: 2. -4

A: Our Aim is to evaluate the integral given below:-∫dyyy8-4 -(i)

Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all tha...

A: f(x)= (x-2)(x-5)(x-7) , [2,7] 

Q: Write the equation of the function g(x) that is transformed from the function f(x) = |x], and whose ...

A:

Q: -3dy 6. zy2+14y+70

A:

Q: The motion of a spring that is subject to a frictional force or a damping force (such as a shock abs...

A: We know that rate of change of position is called velocity of the function.

Q: Find the transition points. y = 4x7 – 56x° (Use symbolic notation and fractions where needed. Give y...

A:  

Q: Use Green's Theorem to evaluate | F. dř, where F = (Va + 4y, 2x + 9) C consists of the arc of the cu...

A:

Q: Find the area of the surface generated by revolving the curve - 5x y = e x > 0

A:

Q: Each function f(x) changes value when x changes from x, to xo + dx. Find the change Af= f(x, + dx) –...

A:

Q: The total resistance R produced by three conductors with resistances R1, R2, R3 connected in a paral...

A: Here, the given equation is: 1R=1R1+1R2+1R3...(1)

Q: 1 dx3; 2x2-3х+2

A:

Q: sin 3x 39.lim tan 6t 41. lim 50 sin 21

A: We will use the l'hospital rule to fine the limit of 39.  To fine limit 41. We will use the basic al...

Q: 2 x#3 a. Graph f(x) = . 0, x= 3. b. Find lim f(x) and lim f(x). x-3 c. Does lim f(x) exist? If so, w...

A:

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

A:

Q: Calculate the gradient, Vƒ, for the following scalar functions (a) ƒ = xyz. (b) ƒ = x² + y² + z². (c...

A:

Q: 7x-8 6x + 8 Let f(x) = and g(x) = %3D %3D 7

A:

Q: Let h(x) = f (X)g(x). If f (x) = In(3x² - - 4) and g(x) = 3x – 1, what is h' (x)? Select the correct...

A: Here, the given function is: h(x)=f(x)g(x)

Q: 身 x²+5x+8 Determine g' (x) if g(x) = ln x³+5x+8 %3D Select the correct answer below: 2x-5 3x²-5 x3+5...

A:

Q: State whet her or not the series is geometric. If it is geometric and converges, find the sum of the...

A:

Q: MY NOTES ASK YOUR TEACHER Find the fluid force on the vertical side of the tank, where the dimension...

A:

Q: c) Find quadratic approximation of f(x, y) = cos e cos y near the origin. Estimate the error in the ...

A:

Q: Find the magnitude of the scalar multiple, where u=(2,0) v=(-3,6) ll-2vll

A:

Q: BRIDGE LOANS To help finance the purchase of a new house, the Abdullahs have decided to apply for a ...

A:

Q: Compute the following integral problems [10x -12x -5 dr

A: Our Aim is to compute the integral given below:-∫10x9-12x3-5 dx  -(i)

Q: Use the reduction of order formulas to find the inverse Laplace transform of (2s+2)/(s^2-6s+10)^2

A: Solution is here