Given f (x) O-3 O 0 0 1 x+2 =2+2,g(x) = *=², find (ƒ + g) (1)? =

Q: f-¹(x) = The domain of f-1(x) is all x f(x) = 6x - 12 13x + 9 be careful with your parentheses in…

A:

Q: Find the maximum rate of change of f(x, y, z) = x+y/z at the point (1, 1, -3) and the direction in…

A: Please see the below picture for detailed solution.

Q: becasue

A:

Q: Select all the true statements. 4 limx→0 ³ (2+3) lim.→-4 3x 2x+8 lim-0 2x² 5x+3 lima→-2 = ∞ x-1…

A:

Q: X y' - m₂y = C₁ e¹₁x, c₁,m,, m² are constants, 1 m ₁ m₂ I

A:

Q: For the right triangle below, find the measure of the angle. Please show your answer to one decimal…

A:

Q: limx→3 0 4 01 O O 3-x 4-√√²+7 O None of the above

A: We need to find: limx→3 3-x4-x2+7

Q: In each of Exercises 1-14, D(x) is the price, in dollars per unit, that consumers are willing to pay…

A:

Q: y'-(3+anx)y = 1

A:

Q: Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a…

A:

Q: Chapter 6 11) Find the product (3 + 3x) (-4 + 3x)

A: Topic = Algebra As per guidelines , At a time only one question can be answered. Please repost for…

Q: = Find a and b so that f(x) is continuous if f (x) = O O a = ¹/2 b 11 a = EE O a= b = 60 7 a = - 96…

A: A function if said to be continuous if its graph has no break on its domain of definition.

Q: Find 7' (t), given r(t) = (- 4√t, - 3 ln(3t), 3e-³). F' (t) =

A:

Q: 2 32 32 0-22 3 y=5x-x2 y = x 1 2 3 4 (4,4) G

A:

Q: Solve the differential equation dy/dx = 3x/e4y ,given that the curve y = f(x) passes through (0, 1).

A:

Q: = 2π/3. Find the directional derivative of f(x, y) = sin(x + 2y) at the point (4, 3) in the…

A: If f is differentiable function then directional derivative of f at the point (p,q) in the unit…

Q: The figure shows the graph of a function. At x = 0 is the given function differentiable, and/ or…

A: Topic - Continuity and differentiability of a function for a function to be continuous at x=a,it…

Q: For a given commodity and pure competition, the number of units produced and the price per unit are…

A:

Q: 1 X "S “Ţ (x² + y2) dzdydx 04 12 O ! 11 60 3 20 O-11 60

A: Given, ∫01∫0x∫1yx2+y2dzdydx

Q: 5. What is the length of latus rectum of a parabola with an equation 3x2 + 8y = 0?

A: Note: as per our answering guidelines we should solve only one question. So i am solving one…

Q: 6. D(x) = (x − 8)², S(x) = x²

A:

Q: Evaluate the definite integral. 1 lis 0 (5* −_4*) dx

A: solution:-∫015x-4xdx=∫01exln5-exln4dx=exln5ln5-exln4ln401=e1ln5ln5-e1ln4ln4-e0ln5ln5-e0ln4ln4=5ln5-4…

Q: 12. D(x): = 1800 Vx+1 S(x) = 2√x + 1

A:

Q: Determine the intervals on which the given function is concave up or down and find the points of…

A: Topic - Inflection points and concavity  of a function We are given, f(x) = (x^2−3)e^x we know that…

Q: d) Compute the angle in Degrees between 3 and 4

A: We have to find angle between vector V3 and V4

Q: Consider the initial value problem Suppose we know that y(t) → 0 as t→∞o. Determine the solution and…

A:

Q: Find the critical numbers of the function. h(t) = 3/4 - 2¹/4

A: Topic = Derivative

Q: Particle Motion from Equation (Level 2) Oct 23, 8:53:22 PM A particle moves along the x-axis so that…

A: we will find the required.

Q: Find the area of the region that is bounded by the given curve and lies in the spect r-eº, 37 ≤0≤ 31…

A:

Q: Question 1 2³-8 limx→2 2+2-8 =

A:

Q: co|= 5 Thus fff(x, y)dA = [' [ А 0 drdo

A: To determine the double integral shown below.∬fx, y dA=∫0π3∫15? dr dθAlso, to evaluate the above…

Q: Find the solution to the boundary value problem: The solution is e¹ cos 2t + ܘܢܢ e sin 2t d'y dt² dy…

A:

Q: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) 6 1 -…

A: Let's convert given polar equation to rectangular coordinates.

Q: eftan tan ¹2 (x) sec² (x) dx we make the substitution To evaluate

A: We can find the required substitution in the below steps.

Q: The base of a triangle is shrinking at a rate of 6 cm/s and the height of the triangle is increasing…

A: solution:-the base of triangle is shrinking at a rate of 6 cm/sddxbase=-6 cm/s  { decreasing}the…

Q: Find the indefinite integral. (USE INTEGRATION BY PART ONLY-. Use C for the constant of…

A:

Q: S Using the integration by parts method, 10x ex dx =

A:

Q: Find the linearization L(x,y,z) of the function f(x,y,z) at the given points. f(x,y,z)= ex+cos (y+z)…

A:

Q: Water flows into an empty reservoir at a rate of 3000 + 20t gal/hour. What is the quantity of water…

A:

Q: 5 The gain of an amplifier is found to be G= 20 log (10V out): The tasks are to find equations for:…

A:

Q: Find the solution to the boundary value problem: d²y dt² dy 2- + 5y = 0, y(0) = 1, y(π, dt

A:

Q: Sketch the curve. Show all x and y intercepts if they exist, any asymptotes or end behavior, local…

A:

Q: what points on the given curve  x = 4t3,   y = 5 + 60t − 8t2. does the tangent line have slope 1?…

A: Given query is to find the points where slope of tangent is 1.

Q: Express the following as a single logarithm. In(13+x³) + ln x - ln (cosx) = |

A:

Q: Write the equation x+5y=20 in the slope-intercept form, then use the slope and the intercept to…

A:

Q: Find the area of region bounded by the curve y= 2x3+ 8x2-10x, the x-axis and the lines x = -2 and…

A: Given query is to find the area of the region.

Q: f(x) = sin² x, find f'(x) Find f'(4) (round to 3 decimal places)

A:

Q: 2. Given r(t) = (2, e³t-3, 6t+2) with r(1) = (2, 1, 7) and r'(1) = (2,0, 5), find r(t).

A: The objective is to find r(t).

Q: Provide the complete sign analysis using a table to clearly indicate the behavior of the function…

A: