Suppose div(F(-3, -4,3)) = -100. Estimate the flux of ♬ out of a small, outward-oriented box of side length 0.4 centered at the point (-3, -4,3) with edges parallel to the coordinate axes. Flux

Q: Ex 11. Let f(x) = = x²-9 be defined on the closed interval [1, 4]. Apply the MVT to find all the…

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A: To find the values of 'a' for which the function  satisfy thefollowing differential equation.

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A: all answers are explained below in detail. Explanation:

Q: x+1, x0 Can also be displayed as: ) = [ x+1 when x 0]

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Q: Replace the polar equation with an 2 Cartesian equation p 25 equivalent + Sin cos = 256

A: To replace the following polar equation with an equivalent Cartesian equation.

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A: ∫(12t3−72t−3)dt=3t4+36t−2+CThis is the required answer.Explanation:Step…

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A:

Q: 7 Estimate I = 3 (2 + 3) dr using n = 4 subintervals and (a) Left endpoints. I ≈ (b) Right…

A: (a) I ≈ 13.9 (b) I ≈ 22.63Explanation:To estimate the integral ∫37​( 2/x + 3 )dx using n=4…

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A: we are given two vectors and we need to find out the angle between them.

Q: Given vectors = (12,5) and v= (3,-3); find the angle between these vectors. -7√2 O arccos 26 17/2 O…

A:

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A: Given:A given swimming pool is circular with a 30 ft  diameter

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A:

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A: a. -(x+9) (x-3)b. x = -3c. (−∞,36]Explanation:a.) To find the formula of the given graph, let us…

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A: Given that the expression

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A: a)  A . X = 0 , 5  b) A. Increasing on intervals  (−∞,0) U (5,∞) and decreasing on (0,5) c)  llocal…

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A: ​(a)sin(2θ)=−945​​ (b) cos(2θ)=91​ (c) tan(2θ)=−45​​Explanation:Step 1:​sinθ=32​,θlies in quadrant…

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Q: 2. Find absolute extrema of the function f(x,y) =x³-3xy +y³ on the region bounded by the following…

A: (a) (Note: All answers are listed below the explanation.)(b) The minimum value is -1, and the…

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A: The region D lies between the graphs of.

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Q: 3 3 Consider the function f(x) = 23 x7 Let F(x) be the antiderivative of f(x) with F(1) = 0. Then…

A:

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A: To find the volume of the solid generated by revolving about the x-axis the region under the curve…

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Q: Hello, I am stuck on part d of this hydrostatic pressure problem. I have asked various tutors but…

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A: ​y=498x2​+3​Explanation:Step 1:​x(t)=7t​ (i)y(t)=8t+3 (ii)​Step 2:​From (ii)t=8y−3​Substitute value…

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Q: Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C for the…

A: Consider the integral

Q: for y=4 root x find the differential dy when x=2 and dx=0.3

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A: 1. Example: a_n = 1/n2. Example: b_n = n3. Example: c_n = n^24. The key difference is in the rate of…

Q: r: Find the domain and solve. 1 ln x + 1 ≤0 Domain Example: x7 Solution Example: x7

A: Domain: 0&lt;x&lt;e-1; x&gt;e-1Solution: 0&lt;x&lt;e-1Explanation:

Q: Evaluate the integrals that converge, enter 'DNC' if integral Does Not Converge.\int_(-\infty )^7…

A: The given integral is converges.  ∫−∞7​x2+91​dx=31​tan−1(37​)+6π​ Explanation:

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A: Solution with answers is provided below in full detail. Please refer below.Explanation:Approach to…

Q: 1) Farmer John wants to fence in a new pasture with 2000 meters of fencing. To maximize pasture…

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Q: Match each of the following with the correct statement. A. The series is absolutely convergent. C.…

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