Find the volume of the solid bounded below by the circular paraboloid 2 = x² + y2 and above by the circular paraboloid 2=4-x²-y² Write your answer as a reduced fraction. Volume =

Q: Given that f(x) (a) f(g(0))= (b) g(f(0))= = 8x + 8 and g(x) = 8 x², calculate -

A: We have  f(x)= 8x+8 and g(x)=8-x2

Q: Differentiate the function. g(t) = 9t + 8t² g'(t) = 9+16x X

A: given  g(t)=9t+8t2we know  dtndt=ntn-1g'(t)=d(g(t))dt

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A: Here is the solution:

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A: Solution: Given data, y"-7y'+10y = -2e3t

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Q: Differentiate: y dy dx 11 In(x) 26

A: Let's find derivative of given both  problem.

Q: 1 5) Let A= 1 -1 0 0 -1 2 3 -6 a) Find A-¹. b) Find det(A), that is, the determinant of A.

A: (a)  A-1=1Aadj(A)where  A=determinant if Agiven  A=1-1010-1-623

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A: Given query is to find the dimensions of the rug.

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A:

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Q: Question Which of the following is the Laplace transformation O L {f(t)} if f(t) = (cos(-3t))² ? s²…

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A: We need to find radius and area.

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Q: Find, or approximate to two decimal places, the described area. The area bounded by the functions…

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Q: Question 19 Compute the given integral. fre -1² dx = Submit Question > Jump to Answer +C

A:

Q: Find all relative extrema of the function f(x) = 3x4-36x³+ 5. Use the Second Derivative Test where…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A: use derivative and critical points for absolute maxima/absolute minima

Q: Use the given transformation to evaluate the integral. J (15x+10y) dA, where R is the parallelogram…

A: INTRODUCTION: The two types of integrals are double and triple integrals, with double integral being…

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Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

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Q: 16) Sinx-cosy-2=0; dy = ? A) -cot X c) CosX siny B) -cot y d) -cscy cos X E) 2-COS X siny

A: given 16) sinx - cosy - 2 = 0

Q: Perform the matrix operation. Let A = °[4 4 -3] -16-4] O 0-31 [0-12] O [d [-2 2 -8-8 O -4 -3 0 -12]…

A: Given query is to perform indicated matrix operation.

Q: What is the inverse of the function f(x) = (x-6)2 where x ≥ 6, if it exists?

A: Given: f(x)=x-62

Q: Use implicit differentiation to find sin(x²)+cos (y²) = 1 Possible Answers: dy dr dy dr = dy…

A:

Q: 10) Does the sequence an = √n² + 3n - n converge or diverge? Explain

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Q: A collection of nickels, dimes, and quarters consist of 19 coins with a total of $3.35. If the…

A: let numbwes of nickels is  x let numbers of dimes is  ylet numbers of quarters is zgiven  total…

Q: Find f such that f'(x) = 8x² + 7x-7 and f(0) = 2. f(x) =

A: Given query is to find indicated function m

Q: Prove that for any positive integer n, 4 evenly divides 32 -1.

A: Let's prove that 4 evenly divides 3^(2n) - 1.

Q: 15

A:

Q: Let f(x) = x² + 7. Find and simplify: f(x + 6) - f(x) O 12x + 50 O 12x + 36 O 12x O 50 0 36 O 6x +…

A: We can simplify and find the correct answer in the below steps.

Q: An airplane flies at an altitude of a = 6 miles towards a point directly over an observer. Consider…

A: According to question,Given data,a = 6 miles,x = 10 miles,Speed of the plane = 400 miles per hour.

Q: (b) n=1 3 2n-1

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Q: Find the average rate of change of the function over the given interval. P(0)=03-202+60; [1,2] ΔΡ ΔΘ…

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Q: -X 17) y=e^· cos(2x); dy = ? -X A) -ex (cos 2x + 2sın 2x) B) e (sin 2x- ccs 2x) c) 2ex Sin (2x) -X…

A: Given:- y=e-xcos2x

Q: If g(x) = f* √u² + 2 du, what is d²g / dx²? 0

A:

Q: Which of the following functions has a horizontal asymptote at y = 7x - 1 8x + 1 Oy= Oy= Oy= 3x² 5 -…

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Q: Is the function T(s) = (6s-4) (es-5) a power function? If so, identify k and p such that T(s) = ks².…

A: The given function is:T(s)=6s-4es-5

Q: Question 1 ( (a) ) ) For the function (b) ( transform 3 f(t) use the definition of the Laplace…

A: Given function is (a) f(t)=30≤t<2e2tt≥2and (b) L-13(s+5)(s-2)

Q: Given the absolute function graphed below, find the following: a) Domain: -12 Decreasing: 6 5 4 7 2…

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Q: Find the mass of the lamina bounded by the graphs of y = x² and y = x with mass density p(x, y) = x

A: As we know the expression for the mass of the lamina body is: m=∫cd∫abρx,ydydx   The given curves…

Q: Question 22 Integrate: 7 x² +4² -da Question Help: Video Submit Question V > Jump to Answer

A:

Q: Use the Second Derivative Test to find all local extrema, if the test applies. Otherwise, use the…

A: