dx Evaluate • (1–2x)² 0 1 1 2 O-1 o 1 2

Q: 2x+3 (1) Find the domain of the function H(x)= x' -4x

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Q: Part of the piecewise-defined function - (I – 5) +3 if 4< ¤ < 7 f(z) = bif =7 MI if 7< I < 14 is ske...

A: NOTE: Refresh your page if you can't see any equations. . the function is continuous on the interval...

Q: Consider the following. br (a) Set up an integral for the volume a solid torus (the donut-shaped sol...

A: We have to set up an integral for the volume of solid integral.

Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

A: The given function,       19 cosπx

Q: 1- 2x b) f(г) — x² + 1

A: (b) To find the derivative of  f(x)=1-2xx2+1 The function is of the form f(x)=uv where u and v are f...

Q: A 12-lb weight stretches a spring 2 ft. The weight is released from a point that is 1 ft below the e...

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Q: (x + 7 |x – 2| x² – 2x x<-3 - 3<x<-1 f(x) = -1<x<3 2х — 3 3<x

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Q: Find an equation of the tangent line to the graph of the function at a given point. Note: You may/ma...

A: Equation of tangent at point a,b with slope ,dydx.y-b=dydxx-a1. y=6x2+1    ; 1,3dydx=6×-1x2+12×2x=-1...

Q: . A function f(x) that is discontinuous at a point x = a in its domain may still have a limit that e...

A: Find your answer below 

Q: Consider the following graph. y 3 2 1 X -10 -8 -6 -4 -2 2 Identify the parent function represented b...

A: The objective is to identify the parent function ,the transformation represented by the graph and th...

Q: dx Sz Given: 2x - 3xlnx Find: du 3 dx dx dx X dx

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Q: •tan(e-x) Given: ex Find: du exdx e-*dx - exdx O -e-*dx

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Q: 2. Σ--1)k , k%3D k+1

A: The given sequence is ∑k=0∞-1kkk+1

Q: The weak Axiom of Revealed Preference is satisfied by the choices of demand bundles xD(p) at any com...

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Q: 2 2x 6. lim X-3-x-3 x2-9

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Q: 1 8. If y = 1+ a) Prove that y' = 0. b) What kind of functions have derivative 0 ? c) You can actual...

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Q: Find the derivative of the function. g(x) = e-X + 3e2x - 2e-x + 11 g'(x) =

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Q: Choose all sets that are countable: O (-0.5, 11.5] n Z O (-0.5, 7.5) O NU{-1} O {3k|k € Z} 1 n e N n...

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Q: dx Given: 2x- 3xlnx Find: du 3 dx dx 3 -dx

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Q: Explain if the function is continuous or not for the given number a. if x>1 if x = 1 ,a=1 if x<1 f(x...

A: we have given function     we need to determine the continuity at a=1    

Q: Two sides of a triangle are 6 m and 12 m in length and the angle between them is increasing at a rat...

A: We need to find rate of increase in area. NOTE - As per bartleby's guidelines we can solve one quest...

Q: Graph the function f(x)= -3(x)^x +7

A: The given function is  f(x)=-3(x)x+7

Q: S2x3 (3- 5x4)"dx Given:

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Q: snowball melts so that its surface area decreases ata rate of 1cm^2/min, find the rate at which the ...

A: Given query is to find the rate of chnage of diameter.

Q: Calculate the double integral. 3xy? dA, R = -{(x, m10 sx 5 3,-25 ys 2} -2 s ys2} .2 + 1

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Q: 4. Find the volume V of the solid obtained by rotating the region bounded by the given curves y = Vx...

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Q: Find dy/dx, using implicit differentiation. e*y – y = 8 Implicit Differentiation: dx Compare your an...

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Q: sin 6z Evaluate: lim エ→0 00 O1 Which among the following limit theorems were applied? sin x O im エ→0...

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Q: Solve the optimization problem. Maximize P = xyz with x +z = 18 and y +z = 18, and x, y, and z 2 0. ...

A: NOTE: Refresh your page if you can't see any equations. . the first constraint is  . the second co...

Q: dx Given: Vx sin/x Find: Formula o Sesc u du O2 fcsc u CSC du O 2 sin u du Ssin u du

A: Explained below 

Q: Determine if the given function is continuous at -3. * (x + 7 x< -3 |x – 2|| f(x) = { x² – 2x 9x - 3...

A: Topic:- limit and continuity

Q: Use a double integral to determine the volume of the solid that is bounded by z = 8-x² - y and z = 3...

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Q: 3 sin? 4t + 8 cos² t

A: Solution: L{3sin24t + 8cos2t} Use the following identity : sin2x=12-cos(2x)12 =L{312-cos(2·4t)12+8co...

Q: 5- -10 10

A: Please see the below picture for detailed solution. 

Q: In Problems 1–24, find the general solution of the given differ- ential equation. Give the largest i...

A: Given differential equations comparing with dy/dx+p(x)y=q(x)

Q: flIth)-f(1) find lim.

A: Given query is to find the Indicated expression.

Q: Find the area of the shaded region. r= 4 + 3 sin(0) TT - 2 2

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Q: The area of a circular sunspot is growing at a rate of 500 km/sec. (a) How fast is the radius growin...

A: Note that, the area of a circular sunspot is A=πr2 So,  dAdt=π2rdrdt⇒dAdt=2πrdrdt...(1) Now, given t...

Q: Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used t...

A: Area of circle is πr2 and area of equilateral triangle is √3/4a2  

Q: 8. Evaluate lim sin7x. x0 3x

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Q: Consider the following total revenue function for a hammer. R = 36x – 0.01x² (a) The sale of how man...

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Q: Approximate the integral to three decimal places using the indicated rule. 308 -dx; trapezoidal rule...

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Q: 3 х 1 (x² – 1

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Q: Find the Taylor polynomial of degree 3, centered at a 3 for the function f(x) I+ 4.

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Q: Identify whether the statement represents an exponential function. For each training session, a pers...

A: Topic:- function

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

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Q: Question 2. Let V = R³, U = {(s + 2t, s, s + t) : s, t E R} and W = {(x, y, x) : x, y E R}. Is V = U...

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Q: You are an accountant for a manufacturer of radios. The demand function for the tablets is p=40-4r? ...

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Q: S Зх-5 Xp- (3х- 1)(х - 3) Given: Find: u Ох-3 Зx2- 10х+3 3x2 +3 Зх-1

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Q: Find the point on the plane 2x+7y+8z-14 =0 closest to the point (-3,3,1). The point is (Simplify you...

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