Tutorial Exercise Find lim Ax-0 f(x + Ax) = f(x) Ax f(x) = 3x²-3x Step 1 Find f(x + Ax) by substituting x + Ax In place of x In f(x) = 3x² – 3x. 1²- ) f(x + Ax) = 3( Submit Skip (you cannot come back) - 3(

Q: Let y = 2(x - 5)²-6. Part A: Is the given relation a function? Is it one-to-one? Explain completely.…

A:

Q: The graph below shows a transformation of y = 2 5+

A: answer is in next step . please give a like !!

Q: The velocity function (in meters per second) is given for a particle moving along a line. v(t) = 5t…

A: Topic = Functions

Q: Question 4 of 20 < View Policies Current Attempt in Progress Determine whether the statement is true…

A:

Q: Find the function whose tangent line has the slope 3x² + 1 for each value of x and whose graph…

A: We have to find the function whose tangent line has the slope 3x2+1 for each value of x and whose…

Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

A:

Q: dy Find - for y = du dy du = = [19+ √9 +10t2 dt. 0

A: given y=∫0u9+10t2dtTo find: dydu

Q: Use separation of variables to find the general implicit solution to the differential equation. 4…

A:

Q: Evaluate the indefinite integral by using the given substitution to reduce the integral to standard…

A:

Q: 3x-6 Evaluate je ³*-6 dx O 3+C

A:

Q: Use a finite sum to estimate the average value of f on the given interval by partitioning the…

A:

Q: ii) Find the exact area of the surface obtained by rotating the curve y = x³ + 1 ≤ x ≤ 2, 1 3 12x 9

A: Use Area of surface  formula.

Q: Question 11 of 20 View Policies Current Attempt in Progress If lim- x-1 < Determine whether the…

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

Q: Find the area of the region enclosed by the curves x + y² = 0 and x + 4y² = 12. The area of the…

A:

Q: (4) 3. Use implicit differentiation to find dy/dx of the following: x² - 5xy + y³ = 21

A: As per policy only first question is answered. Please refer to the image below

Q: Use differentials to approximate to 3 decimal places ( 1.09 ) 1/3

A:

Q: The position vector r describes the path of an object moving in space. Find the velocity v(t), speed…

A:

Q: Find the limit. (If an answer does not exist, enter DNE.) x Ilm x-0 x² - 2x *2

A:

Q: Why would a sine function be used to model the number of daylight hours?

A: We have to explain why a sine function is used to model the number of daylight hours.

Q: lynn deposits $683.09 at the beginning of each quarter for three years in order to accumulate…

A: Given Periodic contribution, P=$683.09 Sinking fund, A=$9500.60 Time period, t=12 Quarters

Q: The directional derivative of f(x, y) = ln(xy) + x² at the point (-1,1) in the direction of from the…

A: We have to find the directional derivative.

Q: (a) Find the equation of the tangent line to the curve y = x2 at x = 1. (b) The line in part (a) is…

A:

Q: . Use separation of variables to solve the differential equation explicitly for u. du dt = 4 + 4u +…

A: topic:- differential equation

Q: ! x (x3-2x²+x)(x²+1)* Let f(x) are any constants, which of the following decompositions into partial…

A:

Q: (f) If F¹(x, y) = 5y sin(xy)i + 5x sin(xy)j, then f(x, y) =

A: Given vector field F→(x,y)=5ysin(xy) i→ +5xsin(xy) j→ we need to find function f(x,y) such that…

Q: 2) y" + 4y + 4y = 3 sin(3r).

A: We need to solve D.E. NOTE - As per Bartleby's guidelines we can solve one question from multiple…

Q: 5.5 Find the volume of the solid bounded above by the graph of f(x, y) = xy sin(x²y) and below by…

A:

Q: The marginal cost of printing a poster when x posters have been printed is dollars. Find c(100) –…

A:

Q: Evaluate x²(x³ +9)¹/² dx 2 +9)³/2 +C Nia O (x² +9) ³/2 +C O C(x² +9)³/2 O x³ +9+C

A:

Q: Find the limit. lim væ+1

A:

Q: Which of the following geometric series are divergent? +00 +00 +00 ωΣ(5) «Σgn-1 α) Στ 3 n=0 n=0 n=1…

A:

Q: Find the limit of the transcendental function. Ilm sin 7tx

A: topic- limits

Q: (X) is the price, in dollars per unit, that consumers are willing to pay for x units of an item, nd…

A:

Q: 4. Match each of the following differential equations with a solution from the list below. A. y =…

A:

Q: Find the values of p for which the series is convergent. (Enter your answer as an inequality.) 00 Σ…

A:

Q: The absolute minimum is at one of the local minima. True or False

A: It is indeed true.

Q: Find the solution to the initial-value problem. y' = ey − x, y(0) = 0 y =

A:

Q: 14) . Solve the initial value problem. y' = (x − 1)(y − 2),  y(2) = 2 y =   PLEASE SHOW STEP BY…

A:

Q: c) i) Find the general term (an) of the sequence 4e-³,5e-6, 6e-⁹,7e-12, 8e-15,9e-18, ... ii)…

A: The objective is to find the solution of the above question.

Q: Find the limit. lim_ (x² + 2x) x--2

A: Solution

Q: Consider the following. 2x²-3x - 5 lim X→-1 x + 1 Find the limit of the function (if it exists). (If…

A:

Q: Determine the indicated characteristics and graph each function. y = x²(x-1)(2x+3)(x - 5)³ Zeros: 2.…

A:

Q: K O O Given the integrals I, J, K and L, where 3 dx = 6²° 3 .00 dx x + 2' O 1 = = [₁*√x- √x-3 dx, L…

A:

Q: If y=2x²-4, what is its inverse? or Oy¹--√2 Dy^--, DOIN such that xs-4 such that x2-4 such that x20…

A: Given, y=2x2-4 To find the inverse, we need to swap the variables 'x' &amp; 'y' x=2y2-4 Now solve…

Q: Find the indefinite integral. (Use C for the constant of integration. Remember to use absolute…

A:

Q: The directional derivative of f(x, y) = ln(xy) + x² at the point (-1,1) in the direction of from the…

A: The function is given as , fx,y=lnxy+x2 find the directional derivative at point -1,1 in the…

Q: a) i) Find the exact length of the curve 1 + 4 15x3 y ii) Find the exact area of the surface…

A:

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A:

Q: Question 13 of 20 View Policies Current Attempt in Progress Determine whether the statement is true…

A:

Q: -00 6w³ 2 (w² + 1)² -dw

A: Use the properties of definite Integral to solve the given integration.