6x 4) Find the average value of the function y on the interval from x = 1 to x = 5. x2+1 Hint-- the average value of f(x) from x=a to x-b is given by: Saf(x)dx b-a 'a

Q: 2) Explain in your own words what is meant by lim f(x) = 5. x→2 Is it possible for this statement to...

A:

Q: Question Evaluate the following limit using L'Hospital's rule. 1 lim 4x cos 6x4 Provide an exact ans...

A:

Q: Determine whether the following sequence is increasing, decreasing, or neither. 5n-2 i. an = 4n+1 ii...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost oth...

Q: For the following exercises, use shells to find the volumes of the given solids. Note that the rotat...

A:

Q: f(x)=2x^2+5x+3 find all values of x where the slope of the tangent line to is 0

A:

Q: Find Sta | tan (ay) dy 32.

A: We have to find integral of given function.

Q: Find the Domain and Range x-4 1. y

A: Given that: y=x-4x       NOTE: As per our answering guidelines, we can only answer 1 question or 3 s...

Q: write the given expression in the form of a^2 - u2: 15 + 2t - t^2 is equal to. SUBMIT YOUR SOLUTION ...

A: Given: 15+2t-t2 To write in the form:  a2-u2 15+2t-t2 = -t2-2t-15

Q: 2-28 Determine whether the series is absolutely convergent. conditionally convergent, or divergent. ...

A: NOTE: Refresh your page if you can't see any equations. . the given sequence is  here the sequence...

Q: Question 10 1+ cost = | cor*rdt cot'rdt I- rost

A: integration

Q: dy +Ydy=e'

A:

Q: Approximate 4   2 1 ln(x) dx using the midpoint rule with four subdivisions to four decimal places

A: Given: a = 2  b = 4   n = 4  f(x) = 1/ln(x) 

Q: Linear Differential Equations (19) + 3x?y =

A: First I have written the standard form of first order linear differential equation and then using th...

Q: Find the horizontal asymptote(s) of the function p(x) f (2) = Va(2) where p (г) — 6а2 — а — 2 and g ...

A:

Q: Evaluate the inverse Laplace transforms of the following: 2 1 4 1. s+9 s- 5 20 1 2. s+3 5s -3 6s-5 3...

A: Given : 1)  L-1{2s-1s+9+4s-5}2) L-1{20s+3+15s-3+7s6}   NOTE: Since you have asked multiple questions...

Q: The cost of certain piece of machinery is $ 700 and its value is depreciating with time according to...

A:

Q: de (x-3)Vx2-6x+5 arcsec + C; and 0.0008 none of the choices arcsec + C; and 0.0174 arcsec + C; and o...

A:

Q: he general antiderivative of a function is also called the. A integrand B arbitrary constant differe...

A: The general antiderivative of the function

Q: Write down the first five terms of the following recursively defined sequence. a1 = -5; an+1= -2a, +...

A: Given sequence is  an+1=-2an+5with a1=-5To find the first five terms:  

Q: Use the properties of logarithms to expand the expression as a sum, difference, and/ or constant mul...

A: The given question can be solved as shown in step2.

Q: Let   f(x, y) = √y - 2x.              NOTE: The y - 2x is all under the square root! - What is the...

A: As per the instruction, we will answer only the first one. Given f(x, y) = √y - 2x. So, domain for s...

Q: 4 x2-4 xp

A:

Q: y =

A:

Q: Determine the gradient of the curve 3xy + y² = -2 at the point (1, -2)

A:

Q: se the definition of the derivative to find the derivative of: f(t) = -4 – 2t. (t) =

A: Topic:- derivatives

Q: dx Evaluate – 12x - 12x dx 12x - 12x

A:

Q: 3 x° +x* dx x² 4 3

A: The given integral is solved below in detail.

Q: Find the component form of v given its magnitud and the angle ir makes with the positive x-axis. Mag...

A: Given that: Magnitude of v, ||v||=43 and angle, ∅=90°.

Q: 10 dS (3t2-12t-15)dt %3D

A:

Q: Question 7 04 d0 =+C 2 A True (B) False

A:

Q: Use the Pythagoraen Identities to fill in the blanks. 1= 1= :

A: NOTE: Refresh your page if you can't see any equations. . from the right angle triangle, we can wri...

Q: Verify that the area under the curve y = 1/x from x = 1 to x = m equals 2m, the area from x = 3 to x...

A:

Q: 1. For the function g(t) whose graph is given below, state the value of each, if it exists. If it do...

A:

Q: Find the general solution of у" -у - бу %3D 6х3 + 26 sin 2x

A:

Q: A function f satisfies the following conditions. f(-3) = 2, f' (-3) = 0, f(-1) = 5, f' (-1) = 0, f (...

A: Given that the function f satisfies the following conditions f(-3) = 2, f'(-3) = 0, f(-1) = 5, f'(-1...

Q: y = x, y = 3x; about the y-axis

A:

Q: Find the general solution of У" - Зу + 2у 3 2х3 - 9х? + 6х

A:

Q: 2. Evaluate the following functions using the given relations. f(1) = 4 ; f(2) =-1; f(3) =-3 Relatio...

A:

Q: Question Evaluate the following limit using L'Hospital's rule. lim 3 In (x) 15х — 15 Provide an exac...

A:

Q: Let each of the vectors A = 5a, -- a, + 3n,, B = – 2a, + 2a, + 4a,, and C - 3a, – 4a, extend outward...

A:

Q: Question The graph of the polynomial f(x) is given below. If f(x) has degree 4, find the factored eq...

A:

Q: Find the linearization of f(x, y, z) = at the point (3, 2, 8). (Express numbers in exact form. Use s...

A:

Q: Find the point on the graph of f (x) = (3x + 9)/x + 9x (x > 0) at which the tangent line is horizont...

A:

Q: Find u v. u = 4i - 3j v = i - j V U V =

A: Finding the dot product of u and v

Q: QUESTION 4 Given f(x) = 8x³ + 2x. Estimate the value of ƒ(2.01) using differential. %3D

A:

Q: Find g(x)= -x2+ 5x - 2 when g1(2)

A: First calculate g'(x) then put x = 2.

Q: csc xcot x sin(csc x )dx

A: ∫cscx cotx sin(cscx) dx

Q: O Find All the ASymploles of the Cerve 3x3 +22y-7ay²+2y"-14x4+7y²+4x+5 =0-

A: Total Asymptods are 3 . 

Q: if y=6x^5, then dy/dx=

A: We know that; The Power law: ddxxn=nxn-1 And a.f'=a.f' Given: y=6x5

Q: 1. Let f(r, y) = arctan(ry). (a) Find the unit vector in the direction where the directional derivat...

A: