Step 3 At x = 4 + Δx, the value of the function is g(4 + Δx) = 20 – Hence, Step 4 m = lim Δx=0 simplify. (20 – (4 + 4x)) – Be] x ΔΕ m= lim ΔΥΟ lim ΔΥΟ ΔΝ Ο 20 - 16 - ΒΔΧ - (1x) - 4 Ax Δεί ΔΥ - ΔΧ) - Δx) + 4x) Π Μ

Q: If f(t) = 2 - 9t cos t find f'(0).

A: Given :ft=2-9tcost

Q: first-order

A: Given : y' = x9y + sin(x) The standard form of first order differential equation is  y' + p(x)*y =…

Q: 24. Differentiate each of the following with respect to x. Simplify fully when indicated 1 (a)_y=x²³…

A:

Q: 5″ Use the limit comparison test to determine whether the series converges or diverges.

A: We have to check  the seris convergence or divergence

Q: e polynomial of degree 4, P(x) has a root of multiplicity 2 at x = 4 and roots of -2. It goes…

A: Topic:- polynomial

Q: OA. x=0 and x = 3 OB. x=0 OC. x=3 OD. There are no points where the function is discontinuous.

A: Follow the procedure given below.

Q: The tangent line to the graph of y = g(x) at the point (9, 1) passes through the point (4, 6). Find…

A:

Q: Evaluate:L{e-3t} = ! Blank 1 Blank 1 Add your answer

A: Let's find laplace of given function.

Q: 3. Find the general solution of the differential equation y(4) — 4y" = t² +et.

A:

Q: Find the minimum and maximum of A over a particular interval [0,6]. -1. The graph of y = f(x) is…

A:

Q: 4) Find the equation of the line (slope-intercept form) passing through (-1, 3) and a) Parallel to…

A:

Q: Evaluate (₁ F. dr using the Fundamental Theorem of Line Integrals. Use a computer algebra system to…

A: NOTE: Refresh your page if you can't see any equations. . C:=smooth curve form (-5,4) to (3,2)…

Q: Which of the following series should be used to determine the divergence of the series Σ, V5n2+2n+4…

A: Given :- ∑n=1∞5n2+2n+4n

Q: Find the curl of the vector field F. F(x, y, z) = arcsin yi + V1 - x2j + y2k

A: To find the curl of the given vector field F

Q: Consider the following. (The graph is called a Witch of Agnesi.) y Find the derivative of the…

A:

Q: 2. π 2 cot x d

A:

Q: Tutorial Exercise Find the derivative by the limit process. f(x) = 14 - x² Step 1 Complete the…

A:

Q: Find L{f(t)} by first using a trigonometric identity. (Write your answer as a function of s.) f(t) =…

A: Solution of given question is written in below steps.

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A:

Q: Let g(x) = 4x³ + 9x² - 12x + 7. What is the absolute minimum of g(x) in the interval [-3, 3]?…

A:

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of t S g(s) = = = √³ (t -…

A:

Q: Evaluate the following. √ √x- x - 4y + z ds S: z = 14 - 3x +9y, 0≤x≤ 6,0 ≤ y ≤4 Part 1 of 4 To find…

A:

Q: Find f'(x) and f'(c). f'(x) f'(c) || 11 Function x²-9 X-9 Value of c c = 1

A:

Q: Prob. 6 (a) 3) Find the critical numbers of the function y = x³/2 - 4x¹/2 3

A:

Q: y = √√2x, x=2 yaxis 17 x-axis

A: Given that y= √(2x) and x= 2 and we find equation of tangent line and normal line at the given…

Q: √ [F(x₁) Evaluate f(x, y) ds. f(x, y) = xy S: r(u, v) = 8 cos ui + 8 sin u j + vk Osus, OsvS1

A: Given that   we have to evaluate ∫S∫ f(x,y)dS  and                                fx,y =xyS: ru,v =…

Q: 2. A ball travels in a circle at 3 radians/s and starts on the positive x-axis. How far away is the…

A: Let 'w' be the angular speed of the ball travels in a circle.  Thus, w= 3 radians/s.  Let 't' be the…

Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = 1 + est L{f(t)}

A:

Q: Let R be the region in the plane bounded below by the parabola y = x² above by the line y = 2x. Then…

A: Use application of integral for finding the area of curve between two curves.

Q: Find the absolute extrema of the function (if any exist) on each interval. (If an answer does not…

A: Topic - Extremas of the function

Q: Consider the following. f(x) = tan(x), (-1) (a) Find an equation of the tangent line to the graph of…

A:

Q: Consider the following function. f(x) = |x-7| Find the derivative from the left at x = 7. If it does…

A:

Q: Find the absolute extrema of the function on the closed interval. h(s) 12 S-5 [0, 1] (s, h) =…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Calculus II

A: The given sequences, a) an=(-1)nn4b) an=lnn32nc) an=n-knn,  k is a positive constant.

Q: £f*. S: z = 18, x² + y² ≤ 1 Evaluate (x - 2y + z) ds.

A:

Q: -4 Challenge #3 y = 1·3x 16 Adjust the equation so the exponential function passes through the…

A: Topic- exponential function

Q: Evaluate the integral using the following values. [x³ dx = 320, ["x dx = 15, ["dx-4 = dx

A:

Q: b. dP = √Pt, P(1) = 2 dt

A:

Q: 45. Which of the following is the Laplace transform of cos(2t)+2tsin(2t)? a. s^2/(s^2+4)^2 b.…

A:

Q: Determine the explicit formula for the n-th term of the sequence written below. Note that the first…

A:

Q: Let x = 6.99999.... (a) Is x 7 x = 7 O x < 7 and x = 7 O It cannot be determined. (b) Sum a…

A:

Q: 5 1 1o ( 125 + 25x + 8) dx 6 1 X So (1 + x²)³dx 3 1 √ dx 1+x²

A: Given :∫05x2125+125x+e6dx∫01x1+x23dx∫11+x2dx

Q: Use the Divergence Theorem to evaluate [/F. and find the outward flux of F through the surface of…

A:

Q: Consider the vector-field F = (2 — ysinr − 1) + (cos x − y ). – - (a) Show that this vector-field is…

A:

Q: Let R be the region between the graph y=x² and the line the cross sections perpendicular to the…

A:

Q: etric identity. (Write your answer as a function of s.)

A:

Q: Find the exact sum of the following series O. In 3 2 1 In(3) --- / 2 In ( ²2 ) 32 3 In (²2) - ○…

A:

Q: A sequence is defined recursively by the given formulas. Find the first five terms of the sequence.…

A:

Q: Prob. 4 (a) (6 pciats) If h(x) = (1 + f(x))³, where f(1) = −2 and ƒ'(1) = 3, find h'(1).

A:

Q: find the limit if it exists at infinity lim=5x^2+7x-9/-6x^2+2

A: Given, limx→∞5x2+7x-9-6x2+2