47-48 Simplifying a Difference Quotient Simplify using the 1101 Binomial Theorem. (x + h) ³ - x³ h 46. X8 plus 48. (x + h)ª − x4 h qua homilsten Bind Toq istem jest

Q: 5-8 The graph of a function f is shown. Does f satisfy the hypotheses of the Mean Value Theorem on…

A:

Q: 5-8 The graph of a function f is shown. Does f satisfy the hypotheses of the Mean Value Theorem on…

A:

Q: A box with a square base and no top is to be made from a square piece of carboard by cutting 3 in.…

A:

Q: Find the linearization at x = a. 9x² x-3,9=11 (Use symbolic notation and fractions where needed.)…

A: We can find the Linearization function in the below steps using the given datas.

Q: Directions: Consider the following function f(x). Use the logarithmic laws to rewrite this function…

A:

Q: 6. A curve passes through the point (4, 2), as shown in the figure. If from any point P on the…

A: Let's find equation of curve.

Q: b. If the surface area of the rectangular box is 24 square feet, find dy when x = dx 2 feet and y =…

A:

Q: Solve the differential equation = y²ex dy dx

A: Given, dydx=y2ex

Q: Suppose that an automobile's velocity starting from rest is v(t) = decimal place. O 3.3 ft/sec² O…

A:

Q: The expression sec² x tan³ x √tan² x+16 Otrigonometric substitution O algebraic substitution O…

A:

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A:

Q: Box office revenue at a multiplex cinema in Paris is R(p) = 3600p - 4p³ euros per showing when the…

A:

Q: Question 8 A graph displaying the relationship between the value of a stock and time is shown below.…

A:

Q: 2x+y=1" H...

A:

Q: Find the equation for a polynomial f(x) that satisfies the following: ■ Degree 4 ▪ Root of…

A: The number of times a given factor appears in the factored form of the equation of a polynomial is…

Q: at x = a. = 9 xact form. Use symbolic notation and fractions where

A:

Q: 2. In a. and b. (below), show that y₁() satisfies the given differential equation. Then, use the…

A: Given data:- The given differential equations, (a); 2t2y''+ty'-3y=0,       y1t=t-1 (b);  4x2y''+y=0,…

Q: Tutorial Exercise Find the derivative of the function. HINT [See Example 1(b).] h(x) In[(-3x + 7)(x…

A:

Q: X = 8 At the end of your work, sketch the graph of 5 x²¹ 2. y 8x8 and 1. y = 3. The tangent line at…

A:

Q: 1. Suppose that the quantity r is 1000's, and price p in dollars are related by the price demand…

A: The given price-demand equation is, x2+5px+10p=220

Q: If f(x) = 6 + Find f'(3). 7 x + 2 x² find f'(x).

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: still

A:

Q: The resistance R of a copper wire at temperature T = 23 °C is R = 1792. Estimate the resistance at T…

A:

Q: Box office revenue at a multiplex cinema in Paris is R(p) = 3600p - 4p³ euros per showing when the…

A:

Q: Two chemicals A and B are combined to form a chemical C. The rate of the reaction is proportional to…

A:

Q: e) y = √x4+7x

A: Solve for the derivative

Q: Find the principal unit normal vector to the curve at the specified value of the parameter. r(t) =…

A: Given vector:- rt=2ti+etj+e-tk

Q: A population of a particular yeast cell develops with a constant relative growth rate of 0.4321 per…

A: The population of something on growth and decay rate is given by P(t)=P0(1+r)t-1, where P0-initial…

Q: Find r(t). u(t). r(t) = (7t − 8)i + t³j+ u(t) = t²i - 9j + t³k r(t) u(t): Is the result a…

A:

Q: Let f(x) = √28 - 4x and g(x) = 4x² — 2. • You must combine all like terms before yo your answer. •…

A:

Q: What is the standard form of the equation of the parabola whose center is at the origin, focus is 3…

A:

Q: Find the following for the given equation. r(t) = (et, 7+², 5 tan(t)) (a) r(t) = (b) r(t) = (c) Find…

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim_ (ti + cos(t)j +…

A:

Q: Consider the surface x² + y² - 2xy - x + 3y - z = 0 at the point Po(2, -3, 14). Determine the…

A: Concept: The equation of the tangent line at point x1,y1,z1 a(x-x1)+b(y-y1)+c(z-z1)=0 The symmetric…

Q: Given f(x) = determine f'(x). sin x -cos x(x+1) sin r Zaciek O (2+1)-sin c sin² T x+1 sin r (x+1)²…

A:

Q: 25. If a and h are real numbers, find the following values for the given function. The function is…

A: The numbers a and h are real numbers. The function is f(x)=x2-x+1

Q: Given_lim_f(x) = 1 and lim_g(x) = 3, evaluate: x →6 9+x lim ( − 3f(x) + 4g(x)) = x →6

A:

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

A: Given query is to find integral converging or diverging.

Q: A farmer has 100 feet of fence with which he plans to enclose a rectangular pen along one side of…

A: Given query is to find the dimenyfor maximum area.

Q: Consider the following figure. To -6 -5 -4 -3 -2 -1 11+ 10+ 9+ 8- 7+ 5 5+ 4- لیا 3- 2+ 1- O -1+ 2 N=…

A:

Q: e think of In(-3x + 7) as In(u), then u is a differentiable function of x and u = tionally, if we…

A: Topic:- application of derivatives

Q: The height y (in feet) of a ball thrown by a child is 1 -x² + 4x + 5 y = 12 where x is the…

A: Given: As nothing is mentioned, we will be answering graphically.

Q: A pet rectangular box has length 6 inches, width 4 inches and a height of 17 inches. Find the angle…

A: Let's find angle between diagonal and its base.

Q: Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x) = -2…

A:

Q: 4 Recall that the volume of a sphere is given by V = The radius of a spherical balloon is increasing…

A:

Q: A kite 50ft above the ground moves horizontally at a speed of 4ft/s. At what rate is the angle…

A:

Q: Find an equation for the tangent plane to the surface 6 z + 2 = xy cos(z) at the point (2, 1, 0).…

A:

Q: Given f(x, y) = 7x³ cos (yº), find fzy (I, y) = fyy (I, y) =

A: Given that fx,y=7x8cosy6To find :fxyx,y, fyyx,ySolution…

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = x² - 6xy + y² +…

A: f(x,y ) = x2 - 6xy +y2+16y +3  First we will find critical poits by partial derivative and putting…

Q: If √x + √y = 12 and y(1) = 121, find y'(1) by implicit differentiation. 11- X

A: