Evaluate 5² dV where E is the region below zx +2y + 4z = 8 in the first octant. Da B

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A: What is the slope of the tangent line to the curve x= 3siny at the point (0,2π) ?

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A: Given: I=∫kx4+x2dx   ...1   As we know the common integral. ∫1ax+bdx=1alnax+b+C

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A: To evaluate the following.1 ddxx2+1x4-12 ddxx2+150

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Q: Find the exact length of the curve. y = 9 + ¹ cosh (8x), 0≤x≤7

A: The curve y=9+18cosh8x, 0≤x≤7

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A: Here we have to find the equation of the tangent line of the graph y=x4 at (-2, 16)

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A: Follow the procedure given below.

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A: Given : S=1--1nn|n∈N   To Find : inf S and sup S

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A: Explanation of the answer is as follows

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Q: 3. Does the parametric equation r = (2,-5,2) + s(1,4,2)+(-2,-3,1), s,/€ R, and the vector equation…

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Q: Evaluate the definite integral 2 L² ( 1² + 7) dt ? O 28 3 O 70 3 O 10 O 24 O All of the above 20…

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Q: 7. Determine the area bounded by y = x² - 6x + 10, x = 1, x = 5 and the x-axis.

A: Above question is solved.

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Q: 3 the following first order ordinary differential equatio d. dy = (x²e³x + 6y)dx

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A: topic- quadratic equations

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Q: Find the exact length of the curve. 36y² = (x²-4)³, 4≤x≤6, y 20

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A: Let's find area by using double integral method. Small mistake in given question, there should by…

Q: et J ((et + 4)²-9)³/2 9)³3/2 dt.

A: See the details solution in below

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Q: Find the derivative of f(x) = 2x3 + 12x² +18x + 9. f'(x) =

A: To Find : Derivative of f(x)=2x3+12x2+18x+9     Note that : Derivative of xn is nxn-1

Q: Which of the following is correct in solving 3/22 2x√2 + x dx? Trigonometric substitution can be…

A: To determine which of the following is correct in solving ∫2x2+x dx.1 Trigonometric substitution can…

Q: 24) Find the integration by applying (by part method) Sin ¹y dy

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Q: - Find the inverse of the following matrix by using Gauss-Jordan eliminations 0 21 -1 2 3 12₂₁ +1 2…

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Q: 3. log (x²+x)-log.(x-1)-2 А. 2 Oi J. оо о で В. 16 C..X D. - 16 -

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…