Problem 1: Using differentials, approximate the change, in terms of 7, in the total surface area of a closed right circular cone of radius 3 units and of altitude 5 units if the radius increases by 0.2 unit and the altitude decreases by 0.1 unit.

Q: In Exercises 5 - 8, give the first five terms of the given se- quence. 4 (n+1)! 5. {an} = {\ {

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Q: Eliminate the arbitrary constants F and G from the given equation below. y e3x = Fsin2x + Gcos2x

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Q: Given the function: P(x) (2x − 1, x < 2 = x² -1, x ≥ 2 Find the value of P(4)

A: Given the function: Px=2x-1, x&lt;2x2-1, x≥2To find the value of P4.

Q: 9. The density function of a random variable X is expressed as f(x) = e4-x for x > 4. Find the…

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Q: 15. 3n? 'n(n + 2) n-1

A: Solution: According to our guidelines we can answer only the first question and the rest can be…

Q: IF Find А II = 2 1 0 -1 -2 3 4 -5 C = 1- 3At + 2B - AC 2-|Adj A| OR |Adj B| 325 4 3 0 -2 5 -2 4 -5 2…

A: Let's solve given matrix problem.

Q: 3 tan x-2xy = c

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Q: A population of 580 bacteria is introduced into a culture and grows in number according to the…

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Q: 1. For the given functions, state the range and find (f-¹)(a) using th ate formula for the…

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Q: What would be the range of the new function?

A: Range of a function is the set of values of y from minimum to maximum.

Q: Q1/ Solve the following linear system using Gauss elimination method x+y+z=4 2x+4y-z = 10 2x-y-2z =…

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Q: An implicit equation for the plane passing through the points (−2,−1,3)(−2,−1,3), (−6,0,5)(−6,0,5),…

A: We have to find out the equation of plane passes through three given points. I have appended the…

Q: A=70(1.06)t what is the rate

A: A=70(1.06)t what is the rate

Q: Dis the resultant of which two vectors? Vector D 4 B D

A: Given,

Q: ƒ'(x) = lim h→0 f(x + h) − f(x) h The goal of this problem is to break down this definition into…

A: Given that f'x=limh→0fx+h-fxh

Q: AH expressed as a combination of vectors is: Q Faty ● टे - वे Oa+c Oa-c C F H B

A: We know that by Triangle method, Draw the vectors one after another, placing the initial point of…

Q: Complete the table to find the derivative of the function without using the Quotient Rule. Function…

A: We know, d/dx{xn}=nx(n-1) , for any real number x.

Q: Problem 2.1: Find the PS of where n = constant. S dy dx y(1) = 1984 y=nxn+1

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Q: -5 -4 -3 -2 -1 -6- -5- 4 -3 2 1, O y = f(x) -y = g(x) 1 2 345 X

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Q: (x, y, z) = 2x²y — xz² + 3y²z. Xyx

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Q: 1. Use the graph of f(x) shown to the right to find the following. If a quantity does not exist,…

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Q: Find an equation of the tangent plane to the graph of f(x, y) = 2x y at the point (2,9).

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Q: Evaluate the integral Note: Use an upper-case "C" for the constant of integration. -4t -4 tan²(x) dx

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Q: Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the…

A: Topic = Volume

Q: Determine the domain and range of f(x) given the graph: 1 f9(x)= 2 x+1

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Q: Consider the planes −x − 2y − 3z = −4 and x + 2y + 3z = 12. (a) Explain why these planes are…

A: This question can be solved using the concept of planes in three dinesional geometry

Q: Question Find the antiderivative of r' (t) = ({eºt (e²,ex, ) that satisfies the initial condition…

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Q: lim x→−2 [x²-2x+5] 6x-1 lim = √√x² x→−2 √x² - 2x + 5 lim = (5(x² − 1)² – 10) X-2

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Q: In Exercises 7-14, a series an is given. (a) Give the first 5 partial sums of the series. (b) Give a…

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Q: 2. Graph the following piecewise function. State the domain, range and intercep if x <-3 x²+1 if -3…

A: Given function:- fx=2if x&lt;-3x2+1if -3≤x&lt;1xif 1≤x

Q: Can

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Q: Eliminate the arbitrary constants Y = C₁ e²x + C₂ C³x са

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Q: Suppose m and n are positive integers. Show that 3m + 3" + 1 cannot be a perfect square. (Hint: It…

A: we will do as per the question.

Q: 2. Find the equation y=x²-3x² of the normal line at a given point on the given curve. + 4 @ (2,8)

A: Solution: y= x4 -3x2 + 4  @ (2,8) dydx=4x3 - 6x  at x =2=32-12=20

Q: 2. Use the given graph of y = f(x) to sketch the graph of its derivative f'(x). -5-4 -3 -2 -1 20 16…

A: We need to graph the derivative function. NOTE - As per Bartleby's guidelines we can solve one…

Q: 2. y = 4-5x 4+5x

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Q: Suppose the binomial expansion of (5x + 2y)" includes the term 175000x¹y³. The y term in the…

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Q: Radioactive Radon After 3 days a sample of radon-222 has decayed to 58% of its original amount. What…

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Q: please

A: The graph of function y = f(x) is given

Q: Use the graph to estimate the slope of the tangent line to y = x at the given poin answers to one…

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Q: Describe the surfaces defined by the following equations  a. p(the greej letter rho) = 13 b.…

A: a. ρ=13 This equation describes the set of all points 13 units away from the origin (0,0,0). So,  it…

Q: y=Ae2 + Bxe 2x =tan(Ae* + B) Parabola vertex at x-axis, open to the right and the length of the…

A: We have to find the diiferential equation which satisfied the given equation . According to…

Q: D. Tim x 3. 2x² +4. X-5

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Q: Use logarithmic y = differentiation to find dy/dx. (x + 1)(x - 10) (x - 1)(x + 10) X>10

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Q: Eliminate the arbitrary Constant The strophoids y²= x²(a+x) 9-x

A: The given equation is  y2=x2(a+x)/(a-x)

Q: x-x

A: we will  show the required limit.

Q: For the function, find the points on the graph at which the tangent line is horizontal.  y=4/3x^3…

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Q: Use properties of logarithms to expand the logarithmic expression as much as possible. Evaluate…

A: We have to evaluate  log7 a2b497.

Q: d the volume of the solid obtained by rotating the region in the first quadrant bounded by y = x³y =…

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Q: 113 = 4 2x+1+√x (x+1)(1+√x) dx

A: Use substitution method