4 (6) Find the derivative y' for the Following function 2x 1) Y = √₂²² sin (e²-1)dt 2y=1-cos (x ²-2) ₂0

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A: We have to Determine the interval of concave down.

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Q: Consider the function f(x) = 3x + 5 X +3. Enter the number of critical points/numbers of f(x).…

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A: You have been given 260 ft of material to make the rectangular figure below. What dimensions should…

Q: The matrix: 1 0 0 3 0100 0015 0000. Reduced Echelon Form, but not Echelon Form Echelon Form, but not…

A: The matrix is .We have to find the matrix in the reduced row echelon form or echelon form.

Q: why was in step 2 the denominator is t-2 then in step 3 it became t-4?

A: To evaluate the following integral.Note: After seeing the previous solution, we observe that there…

Q: Solve the following equation on the interval [0, 2]: sin2xcos2x = 4sin2x

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Q: Use the derivative f'(x) = x²(x-3)(x + 3) to determine the local maxima and minima of f and the…

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Q: 3. What is the degree of h'(x) for the function h(x) = (x + 3)¹(x − 2) 5? 8

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Q: 4. Find an equation for the tangent line at the given point. y = sin (sin x), (TT, 0)

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Q: Let R be the region in the first quadrant bounded by the x-axis and the curves f(x)=√ and g(x)=…

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Q: Let v = (-3, 6), w = (7,11) and u = (-1,-8). Find the following vectors algebraically. 1.v+u 2.V-u+w…

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Q: What is the integral of f(x) within the interval [1, 6]? 5 3 ليا 2 1+ 2 4 6 Area = 15 Area = 12 Area…

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Q: Find the derivative of the inverse of the following function at the specified point on the graph of…

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Q: For the following function, a) give the coordinates of any critical points and classify each point…

A: We have,    h(x) = x3 - 12x

Q: A particle moves along a coordinate axis so that the position at time t is given by s(t) = 6 cost +…

A: A particle moves along a coordinate axis so that the position at time  is given by  for . To…

Q: - b.F(K, L) = (Kª + Lª)¹/a → KFk+ LF = c.g(t, w) = 3t+wt² → g²g dw It d.g(t₁, t2, t3) = (t + tỷ +…

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Q: Determine the area of the largest rectangle that can be inscribed in a circle of radius 4. using…

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Q: Find the value of sec 8 for the triangle shown below.

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A: a) Given vector is,Compare with the standard vector.Then Its magnitude is,So, the unit vector in the…

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Q: Find the equation of the line tangent to the graph of f at the indicated x value. y = 7 sin ¹4x, x=0…

A: Given,y = sin-1(4x),   x = 0

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A: To Find :

Q: Find the reference angle, 8, if 8 = 1395°.

A:

Q: 3. (3) Find the volume of the solid obtained by rotating the region bounded by the graphs of y=x and…

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Q: If a point travels on a compact disc 650 cm in 1 minute, what is the linear velocity of the point in…

A: Velocity= distance/time

Q: 1/4 +2)/ / dr (x+2)V x2 + 4x +3 (g')

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Q: Let y=5x. Find the change in y, Δy when x=1 and Δx=0.4   Find the differential dy when x=1 and…

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Q: 2. Use implicit differentiation to find y' for the curve. cos x sin y = 1/4

A: Givencosx.siny = 1/4

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Q: Write an equation for the transformed logarithm shown below, that passes through (-2,0) and (3,-2)…

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Q: Devin has an envelope that is 2(3)/(4) inches tall. The envelope is 3(1)/(4) times as long as it is…

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Q: 8] n=1 (−1)n+1 n

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Q: Find r(t) if r'(t) = t² i + et j + 3te³t k and r(0) = i + j + k. r(t) =

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Q: Determine the x-coordinates of the relative extrema of the function g(x) = x4 - 4x³ 20x² - 2. Enter…

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Q: Solve the following equation on the interval [0, 2]: -sin2xcos2x = -5cos2x No solution 0,30 0,0 O, ,…

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Q: Find the exact value of each of the following using a suitable power-reducing formula cos²(67.5 14√2…

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Q: 10 Evaluate tan 8 at the following value: = O 0 0 0 0 tan 8√3 e' = tan 8√3 tan 8= -√3 tan 8= -√3 3…

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Q: Solve the inequality 4x-5>7 and select the graph of the solutions.

A: To solve the inequality 4x-5&gt;7 and graph the solution.

Q: (This means The magnitude of a velocity vector is called speed. Suppose that a wind is blowing from…

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A: The given integral is:

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A: The given identity is To rewrite the given identity.