Distance From Home (miles) 8- 7- 6 5 4 3 2 1 1 2 3 Time (minutes) 4 5 6 0 minutes to 8 minutes: 7 8 minutes to 16 minutes: 8 9 Approximate the average rates of change over each of the following time intervals. Round to two decimal places. 10 11 12 13 14 miles per minute # OB miles per minute 15 16

Q: Rewrite each pair of functions. (g) and g(t), as one composite function, f(g(e)). (If not possible,…

A: To find f(g(t))

Q: 4. Find each of the two areas bounded by the curves y = x³ - 4x and y = x² + 2x.

A: Topic = Area

Q: y = c x2

A: Topic = Derivative

Q: 5-6 The graph of a function f is given. (a) At what numbers a does lim, f(x) not exist? (b) At what…

A:

Q: Q13 If S, 4+ is the nth partial sum for the infinite series find the value of ay A) - B)-- (C)- D)…

A: We can solve this as follows:

Q: 2. If / is continuous on (-0, 0), what can you say about its graph?

A: If f is a continuous function on the interval (-∞,∞) then its graph will be→ a smooth uninterrupted…

Q: 4. У y = 5. 6. y = x(x+1) 2x-1 f(x) = = at x = 0.6 1-3x+x² 13 2 at x = 0.77 1 (1+√1-x)²¹ at x = J x2…

A: We can find the slope of the given curve as below.

Q: a/the derivative of the following function is y=x²-sin x

A: Solution )  y = x2 - sin x  Differentiate with respect to x  dy/dx = d/dx( x2) - d/dx ( sin x )  […

Q: Use the graph of the function f shown to estimate the indicated limits and the function value. a.…

A: As per our guidelines we can answer only 3 subparts of the given equation, so kindly repost the…

Q: 20.fe* √3-4e2x dx

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: b/ For the following function the range is y = √4-x

A: Topic = Function

Q: What is the general solution of the differential equation y"-2y'+y=0? Ay=C₂₁e²*+C₁₂xet (B) There is…

A:

Q: Given the function f(x) = 2x² + 4x + 10. Find the average rate of change of f from x = -4 to x = 3…

A: NOTE: Refresh your page if you can't see any equations. . substitute x=-4

Q: Two straight line are y = x -1 and y = -x + 1. Find the point of intersection: i) using Cramer's…

A: We can solve this as follows:

Q: 4. For each of the following polynomial equations, determine if x = 1 is a root. (a) x³2x²-3x-2=0…

A: Solution

Q: x²y" + xy' = x² + y 2

A: See this solution in below.

Q: Show that the equation represents a circle by rewriting it in standard form. x² + y² + x = 0 Find…

A: Please see the below picture for detailed solution.

Q: Airlines sometimes overbook flights. Suppose that for a plane with 50 seats, 55 passengers have…

A:

Q: [x² x cos xdx

A: Integrate: ∫ x2cosxdx

Q: Q2/ Ali is packing for a vacation. He owns twelve shirts and wants to pack five of them. How many…

A: Ali has 12 shirts. He wants to pack 5 shirts out of his 12 shirts.

Q: Consider a particle moving along a curve so that it is at position f(t) = (2+³, 2+²) at time t. Then…

A: Given :ft=<2t3, 2t2>The particle is moving parallel to <1,-2> at time t

Q: For the function f(x) = 4x²-3x, evaluate and simplify the difference quotient. f(x+h)-f(x) h Check…

A:

Q: A. Consider the following multivariable function z(x, y) where {a,b,c} are constant numbers. 1.…

A: Please see the below picture for detailed solution.

Q: 1. A company's sales (in dollars) appear to be increasing linearly. In In 2015, the company's sales…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: Calculate the average rate of change of the given function over the given interval. Where…

A: To find average rate of change of given interval.

Q: 33. f(0) is undefined. lim f(x) = 4 x-0 ƒ(2) = 6 lim f(x) = 3 x-2

A: This is a problem related to graph of the limit function. Please follow the procedure given below.

Q: eliminating arbitrary constant y= C1 cos 2x + C2 sin 2x

A:

Q: 5 y 2 AV -6-4-2 2 4 67 10 -2 -3 -4 Consider the function Y 13 4 f(x) -2 if x + 4 if 2x + 1 if -2x+6…

A: Find :- We have to find the graph when x is approching xo =8.2 from the right and also value of yo…

Q: A college professor never finishes his lecture before the end of the hour and always finishes his…

A: This is a problem related to probability. Please follow the procedure given below.

Q: What is the general solution of the differential equation 2y''+y'-6y=0? (A) B O E y=C₁e² +C₂e y=C₂₁e…

A:

Q: 10. 2 S² (y - 1X(2y + 1) dy

A:

Q: Sketch the graph of the function by first making a tab f(x) = -x + 5, -5 ≤x≤5 f(x) = -x + 5 X -5 -4…

A: Given:-f(x)=-x+5-5≤x≤5nowf(-5)=--5+5=10f(-4)=--4+5=9f(0)=-0+5=5f(1)=-1+5=4f(4)=-4+5=1f(5)=-5+5=0…

Q: Sketch the graph of the function by first making a table of values. f(x) = x + 2 x -6 -4 -2 0 2 4 6…

A:

Q: Which of the following is the complete set of roots of the auxiliary equation for y'"-3y"+3y'-y=0. A…

A:

Q: Q 19 please

A: Topic: - sequence and series

Q: Solve for Auxiliary Equation

A:

Q: 7.    Evaluate the integral, which has irreducible quadratic factors. 7 (x − 7)(x2 + 2x + 9)  dx…

A: Given  ∫(x-7)(x2+2x+9)dx

Q: 1. Given that lim f(x) = 4 x-2 lim g(x) = -2 x12 find the limits that exist. If the limit does not…

A: Given limx→2fx=4, limx→2gx=-2 and limx→2hx=0

Q: Q4. Evaluate the following partial integrals: [₁21 -1 (a) (b) 2x - y dx r3x Love -x S dy xy dy

A:

Q: (e) y² + y x² + x dx separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in…

A:

Q: The graph of a function is shown together with the tangent line at a point P. y 6+ 5 4 3 2 1 1 2 3 4…

A:

Q: Consider the following general term for a sequence an 3(4)" What are the first five terms of the…

A: Consider the following general term for a sequence an=34nTo determine the first five terms of the…

Q: 5) f(n) = 2n-5; Find f(-8)

A:

Q: Which of the following is the complete set of roots of the auxiliary equation for y***-3y"'+3y-y=0.…

A:

Q: Find the nth term of the arithmetic sequence whose initial term is a₁ = 4 and common difference is…

A: The nth term of the arithmetic sequence is given byan=a1+(n-1).d         Equation 1wherea1=first…

Q: a/ For the following function, the domain is y = x²

A: We have given function  fx=x2 Domain is the values of x for which a function is defined.  function…

Q: √²³(2x − 1)³dx -

A: As per guidelines we can answer only one question at a time. So if you need more answers kindly…

Q: Find the domain and range of the function: f(x) = 3x, f(x) = 6x, −7 ≤ x ≤ 2, f(x) = 6x2…

A: Find the domain and range of the function:  f(x) = 3x,   f(x) = 6x,  −7 ≤ x ≤ 2,   f(x) = 6x2 + 7,…

Q: Find the volume of the solid generated by rotating about the x-axis the region bounded by y = 4.9²,…

A:

Q: For a binomial distribution with p = .10 and n = 100, what is the z-score corresponding to X = 16?…

A: Ans. =2  For detail...go through the solution...I have solved in detail