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A: Area of a rectangle= length × breadth
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A: Given query is to find the direction derivative.
Q: 2 dt 22. Evaluate o v9– 2t² 2 dy 3-y³ 24. Evaluate o v8-y'
A: 22)I=∫0129-2t2dtt=32 udt=32 duI=∫29-9u2 32duI=2 ∫11-u2 duI=2 sin-1uI=2 sin-12 t301I=2 sin-1(23)
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Q: 2-1)"13_n+6 3n +1
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Q: Hw2 Integrate the fottowing functens over the given regiont- f cxxy) and %3D f(xay) by-2x and 2- %3D…
A: we can solve as follows
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Q: Hw2 Integrate the fottowing functens over the given regiont- f cxxy) and %3D f(xay) by-2x and 2- %3D…
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A: This is a problem related to derivation of the general formula of differentiation.
Q: The graph of a periodic function f is shown below. 3| f(4) 1.57 3.14 4.71 6.28 -2 -3 a. What is the…
A: a.according to graph peroid=1.57=π2b.Amplitude =2--22=42=2
Q: Preview Activity 1.4.1. Consider the function f(x) = 4x - x². a. Use the limit definition to compute…
A: This question can be solved using the concept of limit definition of derivatives.
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Q: If Y = x I" y = rn then y =? In a In x O None of the above In x In In x x2 27n ln x
A: The given function is y=xlnx We have to find derivative of y Now, rewrite the function:…
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Q: tan zdr
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Q: The nh³ (2x) sech (2x) dx is equal to O A. sech³ (2x) sech³(2x) +C 3 10 O B. tanh°(2x) +C OC. sech³…
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Q: 1. Three students were given the following problem: Unfortunately, we cannot make out the actual…
A: Three students were given the following problem.∫? dx Unfortunately, we cannot make out the actual…
Q: FREE RESPONSE Fictured below is a table of values that represents the graph of an exponential…
A: a) From the table we get take points: -3, 4.333, -2, 5, -1, 6. We plug them in the exponential…
Q: 5 Given the function f (x,y) = which ONE of the following statements is C /x+y2 O A. f is only def…
A: function is defined for x+y2 >0 y2 > -x
Q: tind the first three nonzero terms in the Maclaurin Series of Flx) = tan %3D
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Q: Let A = (1,0, 2) and B = (6,-2,3). Solve for projĄB.
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Q: S(sec; - sin) do
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Q: n+1 4) Para la serie de potencias (x-2)** halla el intervalo de convergencia. a) (-2,6) b) [-2,6] c)…
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Q: Find the general solution of the given differential equation. (* - 9) + by = (x + 3y? v(x) = Give…
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Q: In x2/25+ x² dx , we let x = 5sine. (A) True False
A: FALSEHere , the correct substitution is x=5tanθ differentiatate On both sidesdx= 5 sec2θ…
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A: This is a problem related to work done by the process. Based on the different constant value of…
Q: Consider the following IVP: y"- y = 4cos t; y(0) = 0, y'(0) = 1 Find the general solution.
A: The given differential equation is: y''-y=4cost So, we can also write as: D2-1y=4cost So, the…
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Q: Consider the function below. f(x) = 4/x^2+49 On what interval is the function f concave-up? On…
A: Given
Q: The The Mean-Value Theorem guarantees there is at least one value of c on [-3, 3] such that f' (c) =…
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Q: Find a point c satisfying the conclusion of the Mean Value Theorem for the function f(x) = x^-7 on…
A: Given problem:- Find a point c satisfying the conclusion of the Mean Value Theorem for the function…
Q: Let A (1,0, 2) and B = (6,-2, 3). Solve for projĄB.
A: Consider the vectors A=1,0,2B=6,-2,3
Q: 32 2 The series 3 8 + 33.3 128 is equal to ..(Correct to 3 decimal places) +... ..... 35.5 37.7
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Q: S imkx + JI+ x° ]ax х+
A: Here we use the integration by parts.
Q: x²– y² )² Consider the function f (x.y) =| x²+y², Which ONE of the following statements is TRUE? O…
A: We will find limit at (0,0).
Q: The general solution for the homogeneous differential equation y(5) – 2y(4) + 2y - 4y" +y - 2y = 0…
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Q: The h$(2x) sech (2x) dx is equal to sech (2x) sech (2x) +C. A. 1 3 10 B. None of the choices in the…
A: Solve the following
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A: We need to find surface area.
Q: Sketch f(r) = e2x – 4ex
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Q: Differentiate the following functions using logarithmic differentiation y = log√2x + 5
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Determine whether it converges or diverges. Show complete solution.
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