Let f(x) = X-4 x - 4x (A) lim f(x) X→0 Find the indicated quantities, if they exist. (B) lim f(x) X-4 (C) lim f(x) x-16

Q: Consider the function f(x)=√x and the point P(4, 2) on the graph f. (a) Graph fand the secant lines…

A:

Q: For the line 4x + 3y = 24, complete the following ordered pair so that it is a point on the line…

A: given line4x+3y=24

Q: Determine the vertex, focus, directrix, and axis of symmetry of the parabola with the given…

A:

Q: 100 fingerlings were released in a pond in 2005. By 2012, there were 324 fishes in the pond. The…

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

Q: eate a table of integer values for x = -2 through x = 2 for _x)=x²-5

A: Topic:- calculus

Q: Use the graph of f to estimate the (a) local extrema and (b) absolute extrema. (a) Estimate any…

A:

Q: 2. Use the substitution technique to find [*5'sin(5¹) dt exactly (not an approximation).

A: The given integral is ∫015tsin5tdt use the formulas, ddtat=atln(a)∫sint dt=-cost+C

Q: Plot the point (s) where tan 0 = = Clear All Draw: √√3 3

A:

Q: Find the derivative of the function. f(x) = 4 3 VX + 2cos x

A: Here, the given function is: f(x)=4x3+2cos x

Q: (a) Show that the vector field F(x, y) = (x², y²) is conser- vative, then find the potential…

A:

Q: Assume that u. v = 2, ||u|| = 9, and ||v|| = 3. What is the value of 1u (2u - 10v)?

A:

Q: 1. Use cylindrical shells to find the volume of the solid generated when the shaded region is…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: #2) S 9x² + 4x + 6 dx 2 9x² +1

A: Since, the student has mentioned to solve only 2nd problem. So we are solving accordingly problem…

Q: The area of the sector of a circle with radius 3 yards formed by a central angle of 265° is yards.…

A: We know the expression for the area of the sector of the circle is: A=12r2θ Where r is the radius of…

Q: The degree of the polynomial function f(x) = x(x − 1)³(x + 1)² is a) 3 b) 4

A: Given function f(x)=x(x-1)3(x+1)2 We have to find its degree. Remember : Degree of a polynomial is…

Q: Let →u=⟨6,−4,−6⟩ and →v=⟨−5,−3,−6⟩. Compute the following:

A:

Q: Find the average rate of change of the function over the given interval. R(0)=√√50+1 [3,16]

A:

Q: Let f(x) = 2x = 2x − 3 and g(x) = x² + 3x + 4. Evaluate the following. a. f(3) = 3 b. f(-4)=-11 c.…

A: As parts a,b,c and d are already correctly marked, the solutions for remaining questions are given…

Q: C. Determine the center and radius of each circle in general form. Then draw its gra 2. 1. x² + y² -…

A:

Q: What is the general solution of sin x sin ydx + cos xcosydy = 0 O tan x = O sin x O sin y + cos x +…

A: To solve the given differential equation.

Q: Determine the exact value for cot the CAST rule. 11л 6 without using a calculator by using special…

A:

Q: 5 4 3 2 1 1 I = f(x) = 0 1 2 3 lim f(x) - 3 lim z+5+ f(x+4) = lim f(f(x) + 3) = I 3 5 6 Enter each…

A:

Q: The foci are on the x-axis, the x-intercepts are ±2 and they intercepts are ±1.

A: find the equation of ellipse

Q: Suppose someone is traveling from New York City to Miami, Florida. The following table describes the…

A: A.

Q: Find the product. E 3 تن 3 m + 3 F 3 S + 3 C 3 3 m n 3 m² -n² m² +2mn +nº 2 m m²-n² 2 +2mn + n² 11…

A: The given product, m3+n3m3-n3.m2-n2m2+2mn+n2 use formulas,…

Q: Suppose an object is fired vertically upward from the ground with an initial velocity of 96ft/sec.…

A: Given: The height of the object above the ground after t second is given bys(t)=96t-6t2To Find:…

Q: 9) Find all relative extrema in the interval (0, 2π) for y = x - cos x

A: Here we have to find the relative extrema.

Q: Part 1 of 3 Suppose that lim p(x)=9, lim r(x)=0, and lim s(x)=-7. Find the limits in parts (a)…

A:

Q: 21. 22. 23. 24. 25. lim xcscx is x10 (A) - 88 2x² +1 lim X41 (2-x)(2+x) (A) - 4 |x| lim x10 (A) 0 1…

A:

Q: Match the equations of the spheres with one of the graphs below. -2 -3 2 X A D 1 y 1. x² − 2x + y² +…

A: Note - according to our guidelines we can answer only  three subparts and rest can be reposted.

Q: X 3.08 .5 O5

A: USING SIMPLE MATHEMATICS RULE

Q: You are also given a translation of the graph of y = |x + 11. -10-8-6-4-2 ⁹⁰ Write an equation for…

A:

Q: Find the following. Assume that letters can represent any real number. √(x-9)7 The answer is

A:

Q: The height, h, in metres, above the ground of a car as a Ferris wheel rotates can be лt modeled by…

A: We have to find the radius of Ferris wheel.

Q: Lim (x->infinity) (Sqrt (9x^4 + 6))/(4+3x-x^2))

A:

Q: 1 z+1 if x − 1 Calculate the following limits. Enter "DNE" if the limit does not exist. f(x) = lim…

A:

Q: LEARNING ACTIVITIES Directions: Give the coordinates of the center, foci, vertices, and covertices…

A:

Q: 7л Determine the exact value of COS 6 O a) -2 Ob) √3 2 O c) O d) √√3 2 1 /3

A: SOLUTION-

Q: State the equation of the this graph using the cosine function. y & 2 - + -2 R 2n 0

A:

Q: 4) The graph below represents the relationship between velocity and time during a motion. graph to…

A:

Q: If ƒ = {(1, − 1), ( – 3, 1), (2, the following values of f and g. a. f(1) b. g(2) = = 3 c. g = d.…

A: Given :- f=1,-1,-3,1,2,14,π,1 and g=2,-1,-3,-2,34,-1 To find:- f1 g2 g34 f2 g-3 fπ

Q: If q (x) = ln (6x² + 2x+2), find q' (x). O 12x + 2 In(6x² + 2x + 2) O 3x² + x + 1 6x +1. 6x +1…

A: The given function qx=ln6x2+2x+2 use  the derivative formulas, ddxxn=nxn-1ddxa=0ddxln…

Q: Evaluate log5 √625 O a) 2 O b) 5 O c) 25 O d) 4

A:

Q: In a circle of radius 8 miles, the length of the arc that subtends a central angle of 5 radians is…

A: Given Radius of circle is 8 miles Central angle = 5 radian

Q: Consider the following. 6 = f(x) = -x² +9 Find the x-values at which f is not continuous. Which of…

A: Given: As nothing is mentioned, we will be answering by graphical method. Graph:

Q: 17. [sec u] = (sec u tan u)u' dx

A:

Q: Calculate the integral of f(x, y, z) = 3x² + 3y² + zª over the curve c(t) = (cos t, sin t, t) for 0…

A:

Q: y sinx - xy² = C

A:

Q: (A) Find (jx curlū), grad (yzj • curlū) at น 7 = ({√Cos(1³² - x)) + ( x + ² } / + 20² k ze² where

A: Given u=cosy2-xi+y+1zj+zexzk

Q: The graph of the polynomial function f(x) = −2x(x − 1)²(x − 2)² extends from

A: Given polynomial f(x)=-2x(x-1)2(x-2)2