Using differentials, approximate the change, in terms of pi, 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.

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Q: 9. Write the total differential equation for the function P = P(C, H, E, M)

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Q: 19. Radioactive Strontium The half-life of strontium-90 is 28 years. How long will it take a 50-mg…

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Q: Determine the expression for F(x, y, z) given the function F(x, y, z) = 2x²y = xz² + 3y²z.

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Q: I need to see the work written out please.

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

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

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Q: Question d Siven r(t) = 5t¹i — 5 cos (t)j + eſtk, find — [7t³ - r (t)]. dt Provide your answer…

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Q: If the matrix A= [2 5 1;7 3 6;2 5 4], find: A' A(2,3) size(A) LA(:,2)=[] Inv(A)

A: We can solve this as follows:

Q: Q3/Use the Simpson's and trapezoidal rules with n=8 to estimate (+)dx and determine which rule is…

A: ∫04x1+exdx We know that simpson's 3/8 rule ∫abf(x)dx=38hy0+yn+3y1+y2+y4+y5....+2(y3+y6+...)

Q: 62/100÷2

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Q: Express C2 in the form of nCr.

A: Given problem:- Express C2 in the form of nCr.

Q: x = i + 7 + k‚ ÿ = 37 -27, and = 7+37-4k. Determine ☎ + y + z. 57+27-3k

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Q: Question 6 Determine the value of k such that y=4x²-3e2r is a solution to x(1−x) y''+ (2x²− 1) y' +…

A: The given equation is; y=4x2-3e2x.

Q: Problem 2.4: Find the G.S. of the 2nd-order DE Hint: You may like a substitution u = xy" + 3y' = 7x6…

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Q: 23. {an} = {(₁ + ²)^²} n

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Q: 115 = S +3 (x+1) 8 dx

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Q: Find dy by implicit differentiation. dx √xy = x²y + 29 dy dx X

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: +2x =

A: Here is the solution:

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A: This question can be solved by applying the formula for calculating the slope of a line at a given…

Q: 1. y = x²sin (5x)

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

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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: If a b 8, then what is ba equal to? 18 ● 8 = More information is required. -8

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Q: 2/3m=14/9

A: Given query is to find the value of m.

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Q: In Exercises 29 - 34, determine whether the sequence is bounded, bounded above, bounded below, or…

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Q: The equation of a rational function is given below. f(x) =   +1   Which statement describes the end…

A: Topic:- function

Q: Find the distance of the point (4,2,−5)(4,2,−5) from the line r(t)=⟨1+3t,1+3t,5−3t⟩.

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Q: T * cos® zº die. 2

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Q: g(x) is a transformation of f(x) = √√. The graph of g(x) is shown below. +10+ 9 81 7 6 5 4 3 2 -1 7…

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Q: Given the difference quotient, the equation of the function is y=5x^3 True False 5(-2+ h)³ + 40 h

A: NOTE: Refresh your page if you can't see any equations. . take x=-2 . take x=-2+h

Q: evaluate, the upper limit is pi/3 and the lower limit is 0: tan5xsec4xdx

A: Question : evaluate, the upper limit is pi/3 and the lower limit is 0:   tan⁵xsec⁴xdx

Q: 5. A stained glass window is to be placed in a house. The window consists of a rectangle, 10 feet…

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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…

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Q: Q26 Sasha is trying to bound the error of her M10 approximation of S f"(0) = 0 and f"(T) = 0 and so…

A: We have to find part a,b and c .

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Q: Consider the line L(t)=⟨4−t,−4−2t,−5−3t⟩L(t)=⟨4−t,−4−2t,−5−3t⟩. Then:     L is           to the…

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Q: Find the tangential and normal components of the acceleration R(t) = (2sint, t, 2cost)

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Q: Write a compound inequality for the graph shown below. Use x for your variable. 4 -10 -9 -8 -7 -6 -5…

A: Let the variable is represented by x. Then,