Find the surface area of the part of the plane 2x+5y+z=4 that lies inside the cylinder x^2+y^2=1. Surface Area =

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A: I=∫3416(x−7)(x+9)dx

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A: The Matrix is given by :

Q: (a) In(2x + 1) + In(10) = In(50) (b) (c) log(9x + 1) = 2 e2x - 3ex + 2 = 0

A: Given equations to solve for 'x'

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Q: 9. Locate all relative maxima, relative minima, and saddle points of the fol- lowing function f(x,…

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Q: 3) Prove the following statement using the Intermediate Value Theorem (IVT): 2+3* = 4* has a…

A: Question No. (3):To prove the following statement using the Intermediate Value Theorem (IVT):  has a…

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A: The given function is

Q: Suppose $23,000 is invested in an account with an APR of 4.9%. If the interest is compounded…

A: Here we have, P=23000r=4.9%=0.049t=10 years.The compound interest is given by,

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A: Given curve:Unit tangent vector is given by,Therefore,

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Q: Suppose that P(t) (with t in months), the fish population in a lake contaminated by chemicals,…

A: Given Differential equation as follows

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A: Please solve the given problem using the concept of derivatives.

Q: (a) Find the unit tangent vector on the curve r(t) = [cos (t),2t,3sin(4t)] when t = 0.

A: To find the unit tangent vector on the curve .Note: Since the student has posted multiple questions…

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A: The function f is increasing on I if f'(x)>0 for all x in I.The function f is decreasing on I if…

Q: Evaluate the following integral using integration by parts. Se 10x cos x dx

A: I=∫e10xcos⁡xdx

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Q: Find the total differential. 8x + y 3z - 2y dw = W = 8 3z-2y dx + 3z- - 4y - 16x (3z-2y)² Jdy + (7…

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Q: For what values of a and b does lim x→0 a = b = sin (2x) x³ +a+ b 2/2) = x² = 0?

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Q: List the first five terms of the sequence. a1 = 2, : 2, a n + 1 an + 1 = 2an + 4 21 2 а2 8 12 14 16…

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Q: Determine if the series diverges. If it does diverge, type a upper case D as your answer, and if the…

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Q: Answer the following questions for the function f(x)=x√x² + 36 defined on the interval -4 ≤ x ≤7.…

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Q: 4. A water tank in the shape of an inverted cone has height 92 cm and radius 60 cm. If the water…

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Q: 1) State the order of the given ordinary differential equation. Determine whether the equation is…

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Q: A golf ball manufacturer knows the cost associated with various hourly production levels, given…

A: Production cost for golf balls is given as,

Q: ii) Read the graph below and say whether limx→-3 f(x) exists: y=h(x) -9-8-7-6-5-4-3-2 9876 8+ 7+…

A: This is question of calculusHere graph is given We have to find limit of function.Further…

Q: If f(x) is a linear function, f(-2) = 4, and f(3) = 2, find an equation for f(x) f(x) =

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Q: Sx ³√x²+4 3 S

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Q: Let Compute dw (-5,-2)= -(-5,-2)= ow Ət w = xy + yz - 5xz, x = st, y = est, z = ²

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Q: show x on left side Inverte COAS Isolate x. For answer, show X on 2 (x-3) - x ≤ 10x + 5

A: Solve tye given equation  for x

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A: To find all values of  such that  simutaneously.

Q: What is the center of the sphere given by the equation x² - · 6x + y² – 2y + z² +82 +17 = 0? -…

A: The standard equation of a sphere is given by  where (h,k,l) is the center of the sphere and r is…

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Q: 11 Consider g(y) = -6y + -3² + Determine the intervals on which g is concave down. g is concave down…

A: Given,  .For inflection values put g'(y)=0If g''(y)>0, than concave up.If g''(y)<0, than…

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Q: 1) fx²e-³x dx

A: since you have posted multiple question in this question which are not interlinked so i have solved…

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Q: Math 152 metric IHU 3. In this problem we'll evaluate the integral cos²(z) sin³ (2) dr. (a) First,…

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Q: ∞ Σ7(-0.8) is an alternating geometric series, which k=0 diverges converges. Σ7(-0.8) k - k=0 Enter…

A: To determine whether the alternating geometric series diverges or converges.