Explain using a geometric concept why we know that: 2 S² √ 1 + (3x²)² dx > √ 2² + 82

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Q: Please help me with this question thank you. See attached

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Q: In Exercises 43 and 44, graph the functions. Notice in each case that the numerator and denominator…

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A: Step 1:The domain of the function is all real numbers that's why we omitted complex rootsPlease do…

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A: 1)To solve the equation ((1/5)x+1=125x), we can rewrite (125) as (53) since (125=53). Then the…

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A: Step 1:Step 2: Step 3: Step 4:  Thanks....

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A: Step 1:To evaluate the integral , we can use the integration rules for exponential functions.First,…

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Q: t (minutes) 0 10 18 22 30 v(t) (meters per minute) 0 150 230 -100 200 Cameron jogs along a straight…

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Q: Test the series below for convergence using the Root Test. 1 поп The limit of the root test…

A: Let's define f(n) for the series ∑n=1∞​n9n1​ and find the limit for the Root Test. Then, the limit…

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A: Let's break down the problem step by step: ### Step 1: Understanding the Conic Section EquationThe…

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A: Step 1: Step 2: Step 3: Step 4:

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Q: | | | 8. Given f(x) = sin (4x + 7/7), find f' (Z). a) 0 b) 4 9. The derivative of y = √√ex is: a)…

A: Step 1: Step 2: Step 3: Step 4:

Q: I need help on question 6.

A: Here we get,v(3)=[−2(3)+9,(7−3)3/2,31​32−3]=3i+8j∣v∣=(32+82)​=73​Then the direction motion will…

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Q: Calculate the work done by the field F(x,y) = ⟨-2y, x⟩ in moving an object along the path which is…

A: To calculate the work done by the vector field F(x,y)=⟨−2y,x⟩ along the quarter circle path from…

Q: 3. Biologists stocked a lake with 400 fish and estimated the carrying capacity to be 10,000. The…

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Q: Write the first-order differential equation in standard form. (Use yp for y'.) y' = x7y + sin(x)

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Q: Find a plane containing the line r(t) =< 5, -4,7 > +t < 5, 5, 3 > and orthogonal to the…

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Q: In Exercises 1-8, write the equation of the plane with normal vector n passing through the given…

A: Step 1:​Plane having the normal vector: n=⟨−1,2,1⟩Plane is passing through the point: a=⟨3,1,9⟩​Step…

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A: Step 1: Step 2: Step 3: Step 4:

Q: Listen Given the following matrix, and the associated cofactor matrix C - -1 -2 1 600 A = 03 1 C = 4…

A: Step 1: Step 2: Step 3: Step 4:   Thanks....

Q: Calculus A lighthouse that is 5 km from the shore is rotating at 2 revolutions per minute. Calculate…

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Q: find limit,if exist

A: The objective of the question is to find the limit of the expression 'x cos(1/yz)' as (x,y,z)…

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

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Q: Find the equation of the plane containing the points P = (-3, 0, 2), Q = (-1, -1, 2), R = (-5, 3,…

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Q: Find an approximation of the area of the region R under the graph of f by computing the Riemann sum…

A: Please comment down for any doubt. I hope my answer helps you.

Q: Sketch a graph of the polar equation and find the tangent lines at the pole for 0 ≤ 0 <π r = 6…

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Q: Test the series below for convergence using the Ratio Test. n=2 In(n) 2n The limit of the ratio test…

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Q: A continuous annuity with withdrawal rate N = $1,200/year and interest rate r = 2% is funded by an…

A: A.Annuity formula = P(t) = N/R + Ce^(rt)t is the timeR is the rateN is the withdrawal ratee is…

Q: Thinking 21. Given x = (2,5), ỷ = (-5, 12) find the scalar projection of x on ỷ. 22. If (-1, 3, 5) x…

A: Step 1:Step 2:Step 3:Step 4:Question 23 aQuestion 23 b

Q: Calculate the 3x3 determinant: 3 2 -5 -3 4 -3 -6-7 -4

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Q: Practice

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Q: Graph the function y=x-17x²x² (x²-17) by identifying the domain and any symmetries, finding the…

A: Step 1:The domain of the function is (−∞,∞)Step 2:The derivative of the function is 4x3−34xStep…

Q: For each of the following pairs of vectors x and y, find the vector projection p of x onto y. (a) x…

A: To find the vector projection of vector x onto vector y, we'll use the formula:projy​(x)=(x⋅y) /…

Q: Using the attached theorms, Solve the following parts: a) dx/dt =7x-y , dy/dt=5x+3y  b)dx/dt =-x+3y…

A: (a) Given system of linear ODE's is in the following :dtdx​=7x−y,dtdy​=5x+3yStep 1: in matrix form…

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Q: A valve on a storage tank is opened for 4 hours to release a chemical in a manufacturing process.…

A: From item (a), the exponential model for the flow rate is,R=e6.072−0.6243t Solving for the define…