1. A function y = f(x) is defined in the following graph a. State the intervals where the function is increasin b. State the intervals where f'(x) < 0. c. Write the coordinates for the critical points.

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A: Given that the graph where theta measure radians  To find the numerical value of tan(theta)

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A: Solving

Q: S 3+4x+3 dx x4-5x2+4 5.

A: Here, x3+4x+3x4-5x2+4=x3+4x+3(x2-1)(x2-4)⇒x3+4x+3x4-5x2+4=x3+4x+3(x-1)(x+1)(x-2)(x+2)

Q: 开3 Estimate the area under the graph of f(x)= 3x 3. between x= 0 and x =1 using each finite…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: 17 i

A: Explanation of the answer is as follows

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Q: 12. Find the gradient vector field, Vf, of f(x,y)=x?y+y°.

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Q: Suppose that f(x) = 3iV4x?² + 2 (A) Find all critical values of f. If there are no critical values,…

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Q: (4/3,4) to polar coordinates. Convert the Cartesian coordinates O (4, 30) (V42, 150) (8, 30)

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Q: is this true or false the average rate of change between any two points on the graph y=2x+7 is 2

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Q: -3 if x 2 4 -5 -4 -3 -2 2 3 5 -1 -- 4 -2 -3 -4 -5-

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Q: Find the values of x and y. х+59i — у — уi x = y =

A: To find the value of x, y.

Q: Evaluate the following limits x2+3x-10 lím 1. x+2 x2-8x+15 x-2 lim x+3 2-36 2. x-3 3. lim X+6 x+6…

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A: The polar equation is  r = 4 To evaluate: The graph of the polar equation.

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Q: tanºx sec*x dx. Use trigonometric groups..

A: Given:        ∫0π4  tan5x sec4x dx

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Q: Find all the zeros of the function and write the polynomial as a product of linear factors. х4 +…

A: Lets find the zeroes:           x4+13x2+36=0…

Q: valuate the following indefinite integral. 4 +u -du u * 4 + u du% = u

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Q: Find the length of an are with parameterization r(t) = (-7 sin (t), -7 cos (t), -4). on the interval…

A: In this question, We will use the formula of the length of an arc of the parametrized curve.

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of f(x) = dt 2 f'(x) =…

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Q: [43 80 -60 Let A = Find an invertible matrix X and a diagonal matrix D such that [30 60 -42] D =…

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Q: ng the shore and 60 meters from the sh mps into the water and swims from the second and swim at a…

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Q: 1. Vectors v and w are given on the grid. It can be calculated that 2v + w = . Make a drawing on the…

A: First take the origin and find v &amp; w vectors then solve each part.

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Q: d f. f "'(x) = cos(x), f(0) = 8, f '(0) = 8, f "(0) -) =

A: Given query is to find the solution of the differential equation.

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