1. Given a. b. ( C. f(x) = 10x5 4x + 5 and g(x) = 2x + 1. Find and simpify fog(x). ) Compute (fog)(0),(gof)(0) and (f of)(0). Find the domain of fog.

Q: 7. Canada's Gini index is usually 30.0. a) Determine the Lorenz function. b) What percentage of…

A:

Q: an more work be shown on how to solve this

A: By using a scalar projection to find the shortest distance from the point 1,-2, 5to the plane given…

Q: 6. D(x) = (x − 8)², S(x) = x²

A:

Q: Refer to the figure and find the volume V generated by rotating the given region about the specified…

A:

Q: The area of the region bounded by the two curves y = x² and y = 16 is Square Units

A: To determine the area of the region bounded by the two curves y=x2 and y=16.

Q: Oct 23, 9:35:15 PM A particle moves along the x-axis so that at time t 0 its position is given by…

A: Given query is to find interval where speed is decreasing.

Q: f(x)=x+3e^x find (f^-1)' (3)

A: f(x)=x+3ex

Q: Find the differential dy of the given function. (Use "dx" for dx.) y=x√√√5-x² dy= -2x² + 5 5-r

A: Given function:- y=x5-x2

Q: 1. A chord passing through the focus of x²= 8y has one end at the point (-8,8). What is the other…

A: As per our guideline we can solve maximum one question you can repost other question

Q: Determine the area of the region bounded by two the curves f(x) = x² - 18x +36 and g(x) = 9x + 18.

A:

Q: Suppose f ¹ is the inverse function of a differentiable function f and f(2)=9, f'(2) = }, then (f…

A:

Q: State the domain, vertical asymptote, and end behavior of the function. Enter the domain in interval…

A: We can solve this as follows:

Q: x³ Find the absolute maximum and absolute minimum of the function f(x) = - 4x² + 12x - 5 over the…

A:

Q: (A) Eliminate the arbitrary constants. 1. xsiny + x²y = c 2. ax² + x + y² = 0 3. y = cx + c² + 1

A: Derivate the given equations to remove the constants.

Q: Set up but do not evaluate an integral for the volume of the solid obtained by rotating the region…

A: Topic = Volume

Q: (2x+3) y'= y + (2x+33 when x = -1, y = 0 11/2

A: Topic = Differential Equation

Q: Let F(t) = (4t¹ +4, t² − 4t³, 2tª). Find the line (L) tangent to r(t) at the point (68, 36, 32) L:…

A: Given vector:- r→t=4t4+4,t2-4t3,2t4

Q: 2. Let f(x) be a differentiable function such that f(3) = 15, ƒ(6) = 3, ƒ'(3) = -8, and ƒ' (6) = -2.…

A: Given that f(x) be a differentiable function such that f(3)=15, f(6)=3,f'(3)=-8 and f'(6)=-2.

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

A:

Q: Find a unit normal vector for the following function at the point P(1,−3,1): f(x,y)=x3 (Please show…

A: See the answer below

Q: 1 √₁2²-4 d x² - 4

A:

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

A:

Q: Find the unit tangent vector to the curve at the specified value of the parameter. ¹(4)- T = r(t) =…

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: Calculate y' if y = 4log(x³e*)

A:

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

A:

Q: 6) 18a3bc4 3,6 A 63 2 (3 2. 20303aaq bi ٢٢ وطاط محافظ کا 120303 ط bbs

A: Given; Sqrt(18a3b6c4)

Q: A hot air balloon lifts off from ground rising vertically. From 100 feet away, a 5' woman tracks the…

A: Given that a hot air balloon lifts off from ground rising vertically. From 100 feet away, a 5 feet…

Q: lim-→-1 O 0 0-2 0 - 12/1 x²+3-2 x+1 O None of the above =

A: To evaluate the following limit.limx→-1 x2+3-2x+1

Q: What point on the line y = 3x + 10 is closest to the origin? The point on the line y = 3x + 10…

A:

Q: 4 g(x) 3 N 2 1 2 3 -1 0 4 5 6 7 x f (x) f'(x) -1 3 6 2 -4 5 3 4 -2 7 0 1 9. The functions f and g…

A:

Q: 1. Given f(x)= = 10x 5 4x + 5 and g(x) = 2x + 1. a. (6 points) Find and simpify fo g(x). b. (3+3+3…

A: Given functions are fx=10x-54x+5, & gx=2x+1 We need to find following f∘gx f∘g0,g∘f0,f∘f0…

Q: d. lim x²+5x+6 x²-4 x112 e. limx→∞ (1-x²)³+40x6+x 3x6+3

A: We need to find the limits.

Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = [1,…

A:

Q: 1. Estimate y(1.4) with a step size h = 0.2. Answer: y(1.4)~ 2. Estimate y(1.4) with a step size h =…

A:

Q: Find the values of the following limit. If a limit does not exist, type DNE in the entry box. limx→9…

A: Given; Limx-9(x-9)/[sqrt(x)-3].

Q: Question 1 2³-8 limx→2 2+2-8 =

A:

Q: Convert the following numbers to the requested number systems. a) (753. 64)8= (?) 2 b) (103.0625)10…

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: Let F(t) = (4t+2, - 4e*, 2e-4). Find the line (L) tangent to r(t) at t = 3. L: (x, y, z) - +t

A:

Q: Find lim f(x) and lim f(x) for the given function and value of c. X→c* X→C |x + 4 X+4 f(x) = (x +…

A:

Q: If f(x) = √√7 - 4x, find a formula for f-¹(x).

A:

Q: ans against the side of a house. The angle of elevation of the ladder is 66°, and the top of the…

A: Given query is to find the length of the ladder.

Q: 3.0 Given 2x + 6 3x -6 Find the inverse function f-1, the domain of f-1, and the range of f-¹. f(x)=…

A:

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

A:

Q: In what directions is the derivative of f(x,y) = xy + y² at P(3,5) equal to zero? Select the correct…

A: option A is correct

Q: Find the exact length of the curve. y = (1 + x²)3/2, O 18 3 22 3 20 3 10 3 0≤x≤2

A: The given curve is  y=23(1+x2)3/2,       0≤x≤2

Q: 3 (x-2) y'= y + 2(x-2)

A:

Q: Consider the space curve r(t) = (-5t - 2, − 5t - 2, 3t + 5). a. Find the arc length function for…

A: Consider the space curve r(t) = <-5t-2, -5t-2, 3t+5>