(a) Find a simplified form of the difference quotient and (b) complete the following table. f(x)=1-3x³ a) f(x+h)-f(x) h (Simplify your answer.) b) Fill in the table. X h 4 2 4 1 4 0.1 4 0.01 (Type integers or decimals.) f(x+h)-f(x) h www *** X 4 4 4 4 h 2 1 0.1 0.01 f(x+h)-f(x) h

Q: 1 5 X If y = - find dy dx at x = 2.

A:

Q: sin ²e + cos²e =(1)". if n>1

A:

Q: dx 0 (3+x)² 2 동

A:

Q: A rectangle fence was installed yesterday around gemma's house. The students from the near high…

A: Given problem:- A rectangle fence was installed yesterday around gemma's house. The students from…

Q: The height of a rider on a Ferris wheel is represented by the equation below. h (t) = 62 +45…

A:

Q: f(x) = 9x² - 4 at x = 1

A:

Q: n°xf(x) dx = x₁ If f is continuous on [a,b], then A) True B) False <f(x) dx

A:

Q: IF y = u* + 3u² & u = 3x Find dy dX

A:

Q: Which of the following is not true? C 4dx 4dx A So √X(X+6) = lim So c+∞ ¹0 √x(x+6) 5 dx dx B S = lim…

A:

Q: = In (2x) + cos (6x)

A:

Q: 16) Compute the first and second-order partial derivatives for f(x, y) = x²y³ + x + y² − 3

A:

Q: 1. Use the Chain Rule to find 1. y = u² + 1 dy dx (show your complete solution) . u = x² - 1

A: dydx=4x3-4x

Q: Find the volume of the solid generated by revolving the region bounded by y=3/(2√x), y=0 & 1s XS4.

A:

Q: Find an equation of the sphere concentric with the sphere x^2 + y^2 + z^2 + 4x + 2y − 6z + 10 = 0…

A: Topic = Geometry

Q: What is the equation of the line perpendicular to the function y = x³ + 7x² + 5x-2 at x = 0? O 3x +…

A:

Q: f(x) = 9x²

A:

Q: 3. Let there be some a, b ER such that f(a)f'(a) = f(b) f'(b) + 1. Show that f f(x)f"(x)dx ≤ 1.

A: This is a problem related to integration. Based on the general formula and concept we will prove the…

Q: (E) List the values of all local minima of f(x). If there are no local minima, enter 'NONE'. x x…

A:

Q: Differentiate. 3 y=2x® - 8x2 +21x+ 9 dy dx ||

A:

Q: Find the transition points. y = 3x² - 42x6 (Use symbolic notation and fractions where needed. Give…

A:

Q: 2x lim x-0 x²+5x

A: The given limit,      limx→02xx2+5x

Q: Find the first three terms of Maclaurin series for F(x) = In (x+3)(x+3)²

A: A Maclaurin series is a special case of a Taylor series, obtained by putting x = 0 i.e.,

Q: S tan-1 е' 1+4t² 2t dt

A:

Q: (y² - 2xy + 6x) dx - (x² - 2xy + 2) dy-0

A: Given that differential equation is exact hence we have to find the solution of this equation .

Q: Find the critical point(s) of the function f(x) = x³ + x−³+2.

A:

Q: use the Root converges. is b. [ n = 1 Please Test to determine Just leave con clusive. whether as it…

A:

Q: 3. The small circle is tangent internally at (-2, 0) to a big circle. See the figure below Find the…

A:

Q: 5. -9.763332111 is a Whole number. O True O false

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: 8. Consider an object moving along a line with velocity v(t) = 6t2 - 12t with t measured in seconds…

A:

Q: 2. (5 pts.) If f(x) = xºex, find f'(x) and f'(1).

A:

Q: Compute the divergence and curl of F= -(z³-3x)j+4y²k+x²yi

A:

Q: (22²)⁰+ (2⁰). (2²)⁰= 2 O True O false

A: Recall:  a0=1

Q: 1. Supposed that you will use a cuboid made of cardboard with a volume of 60cm³. Find the area of…

A:

Q: Compute for f '(3) using the limit definition of derivative if f(x) - 6x²

A:

Q: Let f(x) f'(x) find the values of A = B = C= D = 1 3x4+x3 + x -5 x3 -5.5 - X + 13.2 = (2AB-1 Given…

A: The given function is: f(x)=3x4+x13+x-5x3-x-5.5+13.2

Q: SUBJECT

A:

Q: I Find A of The Matrix A: 229232 1274252 23kg ① 11 221 312 미시 2097 175 1225 1pisuall O 3

A:

Q: 8- The simple expression of the А. 7 b5c8 за B. 7 b5c8 3a5 O A о О в О с O D 21 abc 3ab²c С. IS 7…

A:

Q: For the given function, find (a) the equation of the secant line through the points where x has the…

A:

Q: 2. √√√x + y + xy = 21

A: We have to find out derivative

Q: NÁW [1 2 Find A¹ of The Matrix A= 3 2 -1 [3 1

A:

Q: Water is leaking from a 2 foot tall rectangular tank at 0.1 cubic foot per hour. Suppose that the…

A: let the height of tank be "h"Volume is given by VdVdt=0.1 cu. ft/hrh=2 ftV= 10 cu. ftdhdt=?

Q: lim (3x - 5) x--1

A: limx→-1(3x-5) = limx→-13x - limx→-15  [ lim(a - b) = lim a - lim b ]                         = 3…

Q: Suppose that f(x) = 2x²ln(x), x > 0. (A) List all the critical values of f(x). Note: If there are no…

A:

Q: Please kindly show all working. Thnx. 1) Let f(x)=x3−3x2−9x+25. Use the derivative…

A: Given function,f(x)=x3−3x2−9x+25.We know that.Suppose that x=c is a critical point of fx then, If f…

Q: Let f defined by f(x) = 2x³ + 3x² − 5 at [-1,1], Consider the following statements 1-It reaches an…

A: The given function,   fx=2x3+3x2-5 at -1,1

Q: Q3/Evaluate four of the following integrais dx dx c. fd. sex C. sec²x e. f(3x + 2)5 dx

A:

Q: x Let a and b be positive real constants, and let y = f(x) such that tan ay statements is TRUE? O dy…

A:

Q: 3 For y = f(x) = 6x³, x=4, and Ax=0.05 find a) Ay for the given x and Ax values, b) dy = f'(x)dx, c)…

A:

Q: i. Using Desmos graphing software or Desmos graphing mobile, create the graph of the following limit…

A: