Consider the function f(z) = 8x10 + 8x-5x² – 8. An antiderivative of f(x) is F(I) = Ar" + Br" + Cr + Drª where %3D A is and n is and B is and m is and C is and p is and D is and q is

Q: dx and u = 3x-2 1. y 2+1 + 3

A:

Q: Consider the function f(z) = 2 sin on the interval [0, 19]. %3D 2 4 6 8 10 12 14 16 18 Find the aver...

A:

Q: f(x)=6x-10 , g(x)= x^2+3x+8 (gof)(-2) = 55 none of these 25

A:

Q: Two species, x and y, coexist in a symbiotic (dependent) relationship modeled by the following growt...

A:

Q: 2 a. Prove that if a, is a convergent series of nonnegative terms, then a, converges. 2 b. If we tak...

A:

Q: total revenue and total cost functions for the production and sale of x TVs are given as R(x) = 190...

A:

Q: he unit circle x^2 + y^2=1 can be written in parametric form  as x=cos(θ) and y=sinθ. Find dy/dx an...

A: The parametric equation of the unit circle is: x=cosθ ; y=cosθ From the chain rule we know that, dyd...

Q: Solve the inequality. Write the solution set in interval notation if possible. 1-x x+5

A: topic  -  inequality

Q: The derivative of the function y = x(tan-(3x))? is: Lan"as (1n)tan a the above the above tan"oa + (1...

A: This question is based on chain rule differentiation.

Q: Consider the following: 36x + 49y- 1764 (a) Find two explicit functions by solving the equation for ...

A:

Q: dC The rate of change in the concentration of a drug with respect to time in a user's blood is given...

A:

Q: Find the general solution of the given second-order differential equation. 3y" + 2y' + y = o y(x) -

A: Solution:3y''+2y'+y=03D2+2D+1y=0Auxiliary equation 3m2+2m+1=0m=-2±22-4×3×12×3=-2±22i2×3=-1±2i3m=-13±...

Q: Suppose the infinite series an is divergent. Then for any constant c, the series n=1 can is also div...

A: This is a problem related to series and sum calculator. Based on the available concept we will prove...

Q: Find the derivative of v(t) = t5e-d Assume that c is a constant. v (t) =

A: Topic = Derivative

Q: Derivatives y'0 y' 0, y">0 y'>0, y''>0 y'>0, y" 0 y'>0, y"3 .... Choose the correct graph below. 4,

A: topic - curve

Q: QUESTION 8 Determina la razón de cambio promedio (ARC) de la función f (x) =x +x4 entre x 0 y x 2

A:

Q: Let h(x) = f(x)· g(x), and k(x) = f(x)/g(x). Use the figures below to find the exact values of the i...

A: Quotient rule: Product rule:

Q: Solve the problem. Round your answer, if appropriate. A man 6 ft tall walks at a rate of 7 ft/sec aw...

A:

Q: 3 + 2* is 5* 28. lim 4 X -0 2 (A) 5 (B) 0 (C) (D) nonexistent -- 3/4

A: topic - limits

Q: 5- for y = (x² + 1)5 dx a)10(x² + 1)5 b) 10x(x² + 1)* c) (x² + 1)* 6- Sin 2x is equal to: a) sin x c...

A: Answer of the above questions are

Q: The marginal cost of producing the xth box of DVDS is 11 + and the fixed cost is $100,000. Find the ...

A:

Q: The concentration of a certain drug in the bloodstream x hr after being administered is approximatel...

A: Find your answer below 

Q: find dy/dx in terms of x and y if x ln y +y^6 =8 ln x.

A: x ln y + y6 =8 ln x 

Q: Differentiate the function. f(x) = log1,(x7 + 1) %3D f'(x) = %3D

A:

Q: The 2014 domestic postage rate for first-class letters weighing 3.5 oz or less is 49 cents for the f...

A: We have to find the function and its graph.

Q: 1. The distance (d) from the center of the seesaw varies inversely as the weight (w) of a person. JB...

A: We have to find the distance from fulcrum.     According to our guidelines we can solve only one que...

Q: Find the derivative of v(t) = te-ct Assume that c is a constant. v (t) =

A:

Q: y - sin xy

A:

Q: Find y' cos(xy) - y^4 = 5 - 3x

A:

Q: increasing decreasing

A:

Q: Find a polynomial of degree 3 that has zeros – 1, 1 and 2 such that the coefficents are integers= 2'

A: Let the polynomial equation be(x-α)(x-β)(x-γ)=0where α,β,γ are zeros

Q: Find the number(s) b such that the average value of f(x) = 6x² – 50x + 82 on the interval [0, 6] is ...

A:

Q: е. f(x) 3D (2x3+ 4)5

A: "Since you have asked multiple questions. We will solve the first question for you. If you want any ...

Q: 4.у%3D (2х — х3)(2х + 1)

A: Follow the procedure given below.

Q: What is the Maclaurin series expansion of f(x) = ln(3-2x)? Find its interval of convergence. Approxi...

A: The Maclaurin series expansion of ln (1-x) is: f(x)=-x-x22-x33-x44-...          ...(1) And is conver...

Q: Choose the Correct answer for the following: 3 1- 9 for y= sec x is equal to: dx 3 a) sec x tan x b)...

A:

Q: Suppose you deposit $7000 at 6% interest compounded continously. Find the average value of your acco...

A: Average value of account  during the first four years will be

Q: Determine if the equation forms a circle. If so, state the radius and center. (a) a +y - 4x + 10y + ...

A: (a) x2+y2-4x+10y+2=0comparing with general form of eq of circlex2+y2+2gx+2fy+c=02g=-4⇒ g=-22f=10⇒ f=...

Q: Find dy/dx by implicit differentiation. 72 – 5y² = 4 dy/dx =|

A:

Q: Differentiate the function. 1 g(x) 6 ,2 6x + 15 !! | g'(x) = %3D

A:

Q: EXAMPLE 8, Does the sequence whose nth term is n п + An n 1 - converge? If so, find lim,»oan.

A:

Q: Let y= (x+sin(x))^5 Find g(x) and f(x) so that y= (f∘g)(x), and compute the derivative using the Cha...

A:

Q: An office wants to create a cubicle for a new employee. The cubicle will be rectangular , with three...

A: Given:   Perimeter of rectangle = 200

Q: f(y) = ee&")

A:

Q: – 4x + 30 The partial fraction decomposition of can be written in the form of 8x2 + 34x + 21 f(x) g(...

A:

Q: Find the sum of the scrics k – Vk2 – 1 Vk(k + 1) - k=2

A: we will find the sum using sequence of partial sums. 

Q: Find the critical numbers of the function f(x) = 2x3 -15x2 + 36x - 24. O a -2 and 3 O b. 2 and 3 O c...

A: As per guidelines we are bound to solve first question only... Thank you

Q: 1. (a) Plot the first four terms of the sequence 3n2 — Зп + 2 2 n=1 (b) (i) Write in bracket notatio...

A: Please see the below picture for detailed solution. 

Q: 2 dr 4. (x-1)

A:

Q: the integral , dx is equal to: -2 x2+4x+5 4 2 the above the above

A: We will find the solution of the integral.