2 For the f(x)=2x² - 4x² defined -2≤x≤3 on the interval A. Find all critical points B. Find absolute max and min

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A: The solution is given below

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A: We have given f'(x) and we have to find function f(x)

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Q: The value of the definite integral [²3x²dx 3x² dx is Select one: 3 26 1 26 26 none of the others 26…

A: Solution is given below:

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A: Topic = Trigonometry

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Q: Let à . Find al.

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A: Concept: These are the three requirements for continuity: 1). The equation for the function is x =…

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Q: Find f'(a) at the given number a.  f(x)=(6x+7)1/2 ,  a = 7

A: Use derivative

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Q: The intervals on which f(x) = x² ln x is increasing and decreasing, and the intervals of concavity…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

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Q: The equation x² + y² +10y + z² = 6z - 18 represents Select one: O a sphere with center (0, 5, -3)…

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Q: Translate into English:  a. ∀x(E(x) ⇾ E(x + 2)).  b. ∀x∃y(sin(x) =y).  c. ∀y∃x(sin(x) = y).  d.…

A: Solution : Given that to translate into English

Q: Find the radius of convergence for: 3 (n!) ³ (3n)! n=1 xn

A: Recall that the radius of convergence for a series ∑n=1∞anxn is R=limn→∞anan+1

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Q: Let f(x) = { 3x² +2, if x < 2 2x - 3, if x ≥ 2 be a piecewise function. Evaluate [₁ f(x)dx= [

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A: You must have idea how to find solution for differential equations.

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Q: Part c: ( Let A(1, 0,-1), B(-1,2, 1), and C(1, 2,-2) are the three points in a 3D coordinates…

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Q: =√₁²-1d₁ S²³ If f(x) = X u²-1 du then what is f'(3)? I

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Q: Perform the row operation 3R2 + R₁R₁ on the matrix below. 3 2 4-6-8 1 1-3 2 (X3 (888) 4-6-8 3R2 + R₁…

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Q: r(x)=x2+5x+4 Find two points on the graph of the parabola other than the vertex and x-intercepts.

A: Solution of given question is written in below steps.

Q: Let C be the curve y = 12 11 10 9 8 7 6 5 4 15 x³ 1 + 4 3x 25 Find the arc length of C shown above.…

A: y= x3/4 +1/3x , 0.6&lt;=x&lt;=3.7  Find arc length First solve √(1+y'2) .

Q: 4 T 40 sin(3x)dx None of them -0.532 -0.253 0.253 -0.235 0.0235 -0.325

A: Solve the definite integral

Q: Find the area of the region enclosed by the curves y = 7sin x and y=sin (7x), 0≤x≤t.

A: The region enclosed by the curve y=7 sinx and y=sin(7x), 0≤x≤π

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Q: True or False: We have [x 3 Select one: True False xdx > [²x x² dx

A: Here we have to use the concept of integration

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A: Integrate the integrand (x2-x+12)/(x3+2x) .

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A: NOTE: Refresh your page if you can't see any equations. . here we have P=54300 A=83000 t=2 years and…

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Q: an = arn+1 an = arn-1 * The general term of geometric progress Option 4 O Option 1 an=arn a" = arn-1…

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Q: The intervals on which f(x) = x² ln x is increasing and decreasing, and the intervals of concavity…

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Q: Surface integral is used to find Density O O Area Surface Volume O

A: We can find the answer as below.

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Q: dz 10. Evaluate the integral where C is a simple closed curve cz(z - 1)' in the positive direction…

A: The integral ∫Cdzzz-1, where C is the simple closed curve in the positive directionthat contains the…

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Q: Question 2 Consider the point P(-2, 1, 4) and the vectors a = and 6=. (a) Find the unit vector u…

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A: NOTE: Refresh your page if you can't see any equations. . the given equation is take derivative

Q: The vectors u = (5, -4,0) and v = (-4,-5, 4) are orthogonal. Select one: O True O False

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