2 integral ³√²-60 6dx. Evaluate the integral [x³√x²-6dx=

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A: Given that:- Height of cone 12  and radius of cone 4

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

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

Q: Evaluate lim h→0 Answer: f(4+h)-f(4) h where f(x) = 7x + 1.

A: Topic:- application of calculus

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A: As we know that: The Power law: ddxxn=nxn-1 The product rule: f·g'=f'·g+f·g' The Quotient rule:…

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Q: 1. Evaluate the equation below where F (x, y, z) = . a. "C" = A triangle with the following…

A: Given that , Fx,y,z=-xy , -xz , -yz and C : 0,1,0 , 0,1,5 , 3,1,0 Determine using stokes theorem…

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A: NOTE: Refresh your page if you can't see any equations. . the supply function is  and the given…

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Q: Use l'Hôpital's Rule to find the following limit. sin (x)-x lim X-0 4x³ 3 sin (x) - X lim 3 X-0 4x =…

A: By using L'Hospital's Rule to find the following limit.limx→0 sinx-x4x3

Q: 2) z(x, y) = (x² + 5y)³ (3y + 2x)

A: Let's find dz/dx and dz/dy.

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Q: 12. x Find √ √(₁-x²)³ dx

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

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Q: The function f(x)=x²-10x + 16 is positive on (0, 2) and (8, 10) and negative on (2, 8). Find the…

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Q: = 1₁²₂ x 3. Define F(x): 1 /1+t² dt. Find F(8) and F'(8).

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Q: 8. Determine if the following series converges or diverges. If converges, find the sum. ∞ Σ n=1 1…

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Q: Determine the five-point summary for the function f(x) = cos(2x + ³) + 5 using algebraic methods.…

A: The given function is : f(x)=cos2x+3π2+5 f(x)=cos2x+3π4+5 Compare the equation with the general…

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Q: etermine the interval(s) for which the function shown below is decreasing. y rovide your answer…

A: Given query is to find the interval where function is decreasing.

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Q: (a) Suppose T : V → W is a linear transformation and that S = {V₁, ...‚¯k} is a finite set of…

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Q: ind both the consumer's and producer's surplus if for a product D(x) = 46x, S(x) = 14 + 2x 2 . Round…

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Q: Given f(x, y) = sin(x + y) where x = s²t³, y = 2s – 3t. Find fs(x(s, t), y(s, t)) = f(x(s, t), y(s,…

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Q: b) an = Find the limit of the sequence, if it exists. (Again, this is a sequence, not a series)…

A: To find the limit of the sequence, if it exists.an=1-3n5n

Q: List the critical numbers of the function in increasing order ƒ(x) = x¹/5(x − 4)²

A: To find the critical numbers for given function.

Q: Given the vectors u =−8i−3jand v =9i+5j, find the following: u + v =    u - v =    5u +3v =…

A: Given: u=-8i-3j , v=9i+5j To find: u+v , u-v, 5u+3v, 7v-8u

Q: Use a finite approximation to estimate the area under the graph of the given function on the stated…

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