9. (a) Use a graph to find a number 8 such that 1 In(x - 1) (b) What limit does part (a) suggest is true? if 2 100

Q: Use the spreadsheet to answer the following questions. 83 1 2 Put m Hein 5 x fx 57 C GP Answer: B 47…

A: Here, not that 82 value is at the intersection of the B column row 2.

Q: (a) lim h(x) X--2 (b) lim h(x) x-0 (0, -5) (-2,-7) y y = h(x) X

A: We have to find limit values at given points x= -2 and x=0

Q: Which of the following is true in solving the initial value problem=x³—4—3e³¹,y=1whenx=0 ? A --4x-e³…

A:

Q: 2.Find the particular solution of y (9x-2y) dx -x (6x-y) dy=0., when x=1, y=1. Let x=vy

A: Find out the particular solution.

Q: The point P(1, 0) lies on the curve y = sin( 13 (a) If Q is the point (x, sin(¹3″ )), find the slope…

A: Note :- “Since you have posted a question with multiple sub-parts, we will solve first three…

Q: 2. What is the average rate of change from x = 4 to 9 of f(x) = 200e-03x

A: We need to find average rate of change.

Q: Considering the definition of f(x) below, find lim f(x). (If the limit does not exist, enter Ø.)…

A:

Q: The number of bachelor's degrees conferred has been increasing steadily in recent decades. The rate…

A:

Q: Find the following limit Select the correct answer below: 8 88 0 -1 lim x18 -3x3 + 7x² - 6x + 4 -3x²…

A:

Q: thrown

A: Please refer to the image below

Q: 4. Find the surface area when the function y= 6 + 1 2x on the interval 1≤x≤2.

A:

Q: (a) Find the point at y = x³ + x, if the slope is equal to 4. Then find the equation of tangent…

A:

Q: You are planning to donate exactly 5% of your income to charity. Your weekly paycheck is $753.98.…

A:

Q: plane

A:

Q: -22 the x-axis, x=-1, and x = 1. Use Define R as the region that is bounded by the graph of the…

A: The region R is bounded by the graph of fx=1-x22, the x-axis, x=-1, x=1 The solid is formed by…

Q: The side of a cube is 11 m with a possible error of 0.02 m. Use differentials to approximate the…

A: Given that the side of the cube is s=11 m with possible error =0.02 mSolution :volume of the cube…

Q: 1. fx² sec x³ tan x³ dx

A:

Q: Express 2187 as a power of 3

A:

Q: 2. dx tanx 4t² dt

A: To differentiate the given function.

Q: 4. Solve for b in: 1 4 2 15 5b 3b

A:

Q: 2. y' ysecx

A:

Q: 29. If a factory continuously dumps pollutants into a river at the rate of tons per day, then the √t…

A:

Q: Solve (xy + 4a²y)dy = √(xy-5a³ + ax - 5a²y)dx

A:

Q: Find the Domain and Range for y= 1 1-√5-x

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: The graph of f has a hole. The graph of f has a vertical asymptote. The graph of f has a…

A: Here let counter example. F(x) =x   There is no hole  There is no verticle asymptote

Q: Need this in complete and handwritten solution, thank you! Find the Differential Equation of the…

A: We have to find the differential equation of the Family of Ellipses with its center at the origin.

Q: What is the coordinates of the point on the line y = 2x +1 which is closest to the point (2, 1)?

A: The point on the line y=2x+1 which is closest to point (2, 1) is the point through which a line…

Q: 7. For the limit lim (x³ - 3x + 4) = 6 illustrate Definition 2 by finding values of 8 that…

A:

Q: K- Under certain conditions, the number of diseased cells N(t) at time t increases at a rate N'(t) =…

A: NOTE: Refresh your page if you can't see any equations. . the given DE is  here we have A=60

Q: 6 - x - x² if x ≤ 1 if x > 1 2x - 9 Calculate the following limits. Enter "DNE" if the limit does…

A: f(x)=  6-x-x2    if x≤1 2x-9         if  x>1

Q: Which of the following equations is NOT a variable separable differential equation? A B C D (xy -…

A: We have to choose the equation which is not a variable separable differential equation.

Q: Chasity goes on a road trip; her car gets 24 miles per gallon (mpg) and gas costs $3.24 per gallon.…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Using the definition of a derivative, find s'(x) given s(x) = -x² - 2x + 3. Do not include s'(x) in…

A:

Q: The solid S has a base described by the circle x² + y² = 1. Cross sections perpendicular to the…

A:

Q: (a) Compute the solutions x, y of the system of two linear equations 3x + y = 1, 2x 6y = 10. (b)…

A:

Q: 5 db • ( 0 ) ² + 7 ( 40 ) + 6² - 6 ² - P 5 7 dp b dp4 =

A: To determine the unknown function and the independent variable in the following differential…

Q: Solve the system below. Parameterize the solution set. x - 5y + 2z 5y + X 9z 4z - - - 3w 24w 12w - -…

A: The given system of equations, x-5y+2z-3w-u=0x-5y+9z-24w-3u=-14z-12w-u=-1

Q: Show the complete solutions. Family of horizontal parabolas whose h to k ratio is 2 Ans: 2xy" - 4yy"…

A:

Q: 9. Let f(x) = 4x² - 2x, 2 √3x- x - 6, 2, Find a) f(-1) b) f(3) c) f (8) d) f(1) e) f (6) x ≤ 1 1<x<…

A:

Q: 1. f(x) = (x (x+1 if x ≤ 0 if x>0

A:

Q: Find the following limit. 1 x+6 Provide your answer below: 1 3 lim x--3 x + 3 Give your answer as a…

A:

Q: Show the complete solutions. Family of horizontal parabolas whose h to k ratio is 2. Ans: 2xy" -…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: A research lab grows a type of bacterium in culture in a circular region. The radius of the circle,…

A:

Q: A teacher is grading a test. A student got 43 out 58 points. Part A: Should the teacher estimate or…

A:

Q: 3. g(u) = √u+√4=u

A:

Q: Which differential equation follows the form A (x) dx +B(y) dy=0? ysinxdx-2xcosydy=0 B There is no…

A: Check for all the options.

Q: To find the root of the equation x² - 3 = 0 using the fixed point method in [1,2], one of the…

A: Find the root of equation x^2-3=0 Using fixed point method

Q: The differential equation dy 18 dx y¹/2 + 4x²y¹/2 has an implicit general solution of the form F(x,…

A: The given differential equation,      dydx=18y12+4x2y12 we have to find the general solution of the…

Q: Э 8. yx U(r) =

A: We want to plot the graph of U(r)= 1/r.   It means U(x)= 1/x

Q: Write the interval of continuity for the function below: sin(x)√81-x2 x²+x-6 f(x) -

A: