What limit law is used in the given below? lim (5x + 2) = lim (5x) + lim (2) x →1 x →1 x →1 Addition Law Power Law

Q: On the graph of the function f(x), shown below in blue, choose whether there are zero, one, or two…

A: Horizontal asymptote

Q: what is Newton's method A. used for? B. Use Newton's the solutions to arctan(x) = x² − 3 method (3…

A: Newton's method for solving equations is another numerical method for solving an equation f(x) = 0.…

Q: x²-3 (x-1)² . Analyze and sketch the curve given by f(x)=- if y': 2(x-3) (x-1)³ 4(x-4) (x-1)* and…

A:

Q: mi I Τ 1+ d) √¤√ï√™

A:

Q: 3. Find the volume generated by revolving the area bounded by the parabola y² = 8x and its latus…

A: Given

Q: Evaluate the surface integral f F.dS where F(x, y, z) = yz i+zxj+xy k and S is the S surface z =…

A:

Q: 24 The following limit gives the derivative of a function f(a) at a point zo: √8th-2 lim h 0 h

A:

Q: Suppose the Sunglasses Hut Company has a profit function given by P(q) = -0.01q² +3q - 20, where q…

A: We will find critical points then we will calculate rest things

Q: Determine dy/dx, if the curve is described by the equation 4y^3-5x^2y=4x^2

A:

Q: √x²-3-1 x - 2 A. lim x-2 tet B. lim to et +1 C. lim x→1 x² + x - 2 x² - 1

A:

Q: Find an equation of the tangent plane to the given surface at the specified point z = √√√xy, (3, 3,…

A:

Q: Evaluate the following integrals: 4T Vcsec 0 de 0

A:

Q: 1. Determine the value of each of the following limits if they exist. 1²-21-8 +¹ -1 X 3a) lim- b)…

A:

Q: 6X-1 4X+1 X+7<6X=1 6 OX<-89/2 (-∞, - 89/2) OX<-89 (∞, -89) OX<-2/89 (-∞, -2/89) OX<∞ (89/2, ∞)…

A:

Q: Find the volume of the given solid. Under the plane 3x + 2y - z = 0 and above the region enclosed by…

A:

Q: (a) State what it means for a function f: R → R to be continuous at a point x = c in R. (b) Consider…

A: Solve the following

Q: 6. 7. 8. (ex + e + x) dx 24t dt [2(5x) dx

A:

Q: af 2 Given f(x, y, z)=x√√x² - yz. Determine дz' af xy Əz 2√x²-yz af s af əz af Əz = = = 2√x²-yz…

A: A detailed solution is given below

Q: 4. find the derivative 4v².4+ [7v¹.5-3v-2 Enter your answer

A: Given  Let y= (4v^2).4+(7v)^1.5 - 3v -2 y= 16v^2 + (7v)^1.5 -3v -2 Formula: (d(x^n)/dx) = n(x^(n-1))…

Q: 6. DETAILS ZILLDIFFEQMODAP11 1.2.009. MY NOTES ASK YOUR TEACHER In this problem, x = C₁ cost + c₂…

A:

Q: Given: x In y + y2 z+z2 = 8 Find: ?х дz -y²-27 In y -In y y²+2z -(x+2y²z) y(y² +22) -yln y x+2y²z о…

A: The objective of the question is evaluate the partial derivative and choose the correct option.

Q: Find all the local maxima, local minima, and saddle points of the function f(x,y) = x² + xy + y² +…

A:

Q: Solve this question yey = 1

A:

Q: 1. Determine the value of each of the following limits if they exist. 1²-21-8 +¹-1 3a) lim- b) lim-…

A:

Q: Find the area of the region bounded above by y = sin(x) and below by y = cos(x 2 1.5 4 0.5+ X

A: Using horizontal /vertical strip

Q: If 2x + 3y = à and -x + 5y = 6b, express x and y in terms of à and b.

A:

Q: A ball is launched straight up in the air from a height of 5 feet. Its velocity (feet/second) t…

A: To find the hight change.

Q: Calculate the following derivative if h(w) = √webw (Use symbolic notation and fractions where…

A: see below the answer and calculation

Q: Solve the given initial-value problem. x(x + 1) dy + xy = 1, y(e) = 1 dx y(x) = Give the largest…

A:

Q: 5. find the derivative 2x (7) + 6x (7) - 2x (²) + 210 Enter your answer

A:

Q: The domain for the function ex y = x ln(3 - x) is {x/x 3} O

A:

Q: What is the equation of the tangent line to the curve y = √2 +16when x = 3? V x-10y +47=0 3x-25y-116…

A: SOLUTION-

Q: Find the area between the y-axis and the graph X = Y 7 6 5 4 X 543-2/1² 1 2 3 4 5 WŃ y - 1 on the…

A: Here we have to use the concept of integration

Q: Given the differential equation y'' − 3y' – 4y = - 2 sin(2t), y(0) = 0, y'(0) = - = - 1 Apply the…

A:

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

A:

Q: find the higher partial derivative of the following

A: Solve the following

Q: Solve the given differential equation by finding, as in Example 4 from Section 2.4, an appropriate…

A:

Q: (X^1/2 + 6) (X^3/2 -32)

A:

Q: 7 Which of the following functions is not differentiable on all of R? Select one alternative:…

A:

Q: The number of bacteria in a refrigerated food product is given by N(T) = 23T² – 96T + 12, 5 < T < 35…

A: The number of bacteria in a refrigerated food product is given by N(T) = 23T2-96T+12,  5&lt;T&lt;35…

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

A: Here we have to check the convergence of given integral

Q: Evaluate the given limit. Show your complete solution. limx→∞ [e5z + x²]

A:

Q: The function is defined by f(x)=√x. Write down the expression for h (x).

A: Given: and f(x)=x.

Q: 1. S (x¹+3x²+1) dx 2. f(x³ + x² + x−¹)dx p³ +p²+p+1 dp 3. p3 √ 2² (√z + √z-1) dz 8x³+27 -dx 2x+3 5.…

A: The objective of the question is evaluate the anti-derivative.

Q: Use the Limit Definition of the Derivative to find f'(x) for the following function. You may NOT use…

A: Using the limit definition of the derivative

Q: Find the area under the graph of x = 4 - y² on the interval [0, 2]. -3 -2 -1 1 2 3 → 1 0 -1 16 3 16…

A:

Q: Solve the differential equation. 4. (2x – 3y) dx + (2y – 3x) dy = 0

A: Just I have used the method of exact differential equation and then solved it .Final  solution is in…

Q: (1) IF: ā=21-j+ k, b=i+2j- 3k, č=-3i+2j+ k Find : a.b, ã.č, č.ã‚ (a+b).(a−b),(ã+ê).(ā-č) (a +2b-3c).…

A:

Q: 2π -5.² b- - 1 do (1 + tan²0)³ 0

A: See this solution in below

Q: Solve the differential equation. 3. (6x + y^2) dx + y (2x – 3y) dy = 0

A: