Find the open intervals where the function graphed below is (a) increasing, or (b) decreasing. Ay 300 240 180 120 60 10 10 -8 6 4 fb 60 -120-

Q: a. Show that f has a removable discontinuity at x = 3. f(x) = x²7x+12 x + 2 x = 3

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Q: Find when y = cos(sin 2x). ay dx dy dx

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Q: Exercise 2.5, Problem 26 a. Show that f has a removable discontinuity at x = 3. / f(x) = x² - 7x +…

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Q: 6x² - 2x - 1 4x³ X jo dx

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Q: 11

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Q: Use differentials to estimate the value of 1.2. Compare the answer to the exact value of 1.2. Round…

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Q: Find the cumulative density function for the given probability density functio k(x) = 1.4 e 1.4x,…

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Q: We know that F is an antiderivative of f, so to: O a) lim (F (b) - F(a)) a 0 Ob) lim (F (b)-F (a))…

A: Here given that, F is an antidervative of f, so we have to find the value of ∫0bf(x)dx=?

Q: If A=(4,3,0), B=(2,3,4) and C= (5,6,2) find the dot product and find the angle between the vectors.

A: Dot product defined as  AB =|A| |B| cos x x is angle between A and B

Q: a) Using the methods of (a) Gauss elimination and (b) Gauss-Jordan, solve the following system of…

A: Since you have asked multiple questions,as per our guidelines we are supposed to answer only one…

Q: ate the following integral using polar coordinates 17 'yx² (x² + y²j2dxdy

A: Above question is solved.

Q: Psychologist L. L. Thurstone suggested the following relationship between learning time T and the…

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Q: Suppose 10 workers produce 500 units of commodity X and 20 workers produce 800 units of commodity X,…

A: The formulae of marginal product is        MP=change in firm's use of inputchnage in quantity of…

Q: 3x + 5, 13+¹6, Find a value of x, if any, at which f(x) = If f(x) is continuous for all values of x,…

A: Given: Notice that 3x+5 is continuous for x<4 and 13+16/x is continuous for x>4. Now, we need…

Q: B3. Find the integrating factor by inspection then solve.  ydx + (x + x4y2)dy = 0

A: Let's solve given diffrential equation.

Q: x TC 021 Find The Area under the curve Y= 4sine between X=and 2 X= 7, by the double integral method.…

A: This question is based on application of integration.

Q: 500 e4 ·∞0 1+e²4 1+ezy dy -00

A: To evaluate the following integral.∫-∞∞ eψ1+e2ψ dψ

Q: Determine each of the following for the circle whose equation is ² The equation of the circle in…

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Q: Find the extrema of the following function on the given interval, if they are any, and determine the…

A: Follow the procedure given below.

Q: When applying trigonometric substitution in the integral: x5 J S -dx √4x² J is equivalent to: O a) […

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Q: x² +5 x<2 Given the function f(x) = { -5x + 1 x ≥ 2 (i) Determine the values of the following: (a)…

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Q: Derive the Maclaurin and Taylor Series of the function below:

A: In this question, we want to calculate the Taylor and maclaurin series expansion of the function…

Q: 1) In the triangle that determined by the points P.Q and R, find a unite vector perpendicular to…

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Q: The length of a rectangle is given by 8t + 7 and its height is √t, where t is time in seconds and…

A: Here we have to use the concept of derivatives

Q: Evaluate the 106 -20 (-7m+300)

A: We need to evaluate: ∑m=-20106-7m+300

Q: 14. Find the general solution of the given differential equation. 9y''+9y'-4y=0 topic: complex…

A: Given 9y''+9y'-4y=0To find general solution of D.E.

Q: (3 - x) dx is equal to ° S (3 − x) dx + ["' (3 + x) dx °₁ (3 - x) dx ° L₁ (3+2)dz + f (3-2) x) dx x)…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Evaluate the integral dx fax √2x-x1

A: Given: I=∫dx2x-x2   As we know the common integral; ∫11-x2dx=sin-1x+C

Q: Let f (x) = log (x² - 2x) and g(x) = ²1. Which expression represents (fog)(x)? zlog (2²-27) log…

A: Given query is to find indicated function.

Q: Evaluate [ (cos² 0 + 2 csc² 0 + sin² 0) do .

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Q: f (Ina) ² da 2

A: This question is based on integration by parts.

Q: i can't understand the text. can you please write it on the paper? thank you

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Q: What is the largest circular area that can be enclosed by 100 ft of fencing. (Non-anonymous question…

A: This question is related to Circle, we will solve it using given information.

Q: 2. The value of O True O False ¹/² is = √13 13

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Q: Q4/ B/ If Ø = (x³y²z) and A = 2xz i - 3y²j+ 3xy²k Find 0(ФА) ay əx the point (2, -1, 3)? at

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 79 J ·S= sen7⁹ (x) dx. When applying variable change u-cos(x) 39 ○ a) J = [ (1 − u²) 3⁰ du Ob) J=…

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Q: We have that 10 177 g (17x + 7) dx O a) 4 O b) O c) 17 Od) -4 24 17 g (t) dt = 4 I so what's the…

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Q: 3) Find equations for the lines: The line through the point D/2 g. The line through (0,-7,0)…

A: Equation of line in 3D

Q: Television Viewership The number of viewers of a television series introduced several years ago is…

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Q: Let x e N, with n ≥ 2 and a > 0 when applying integration by parts J= 1 = [(ax)" · . e da to the…

A: To find out the correct option.

Q: If integration using u-substitution technique is used to solve for O u = e4x Ou=1-e¹ O U= u = €²x…

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Q: Consider £ {y(t)} = Y(s) when solving the following equation: ty' (t) + 23ty(t) = 0 con y(0) = 0…

A: L

Q: 4) Find equations for the planes: b. The plane through (1,-1,3) parallel to the plane 3x+y+z=7 A-3+1

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Q: In Problems 1-5, let R be the region bounded by y = x² + 3, y = 2x, x = 0, and x = 4. Each problem…

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Q: 4) Find equations for the planes: a. The plane through P, (0, 2,-1) normal to n=3i-2j-k

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Q: Solve the differential Equations a) y' = x/(y+x^2 y) , y=(0) = -2 b) 3x^2 y dx - (x^3+y^3)dy=0, y(1)…

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Q: - 2x - 4 if x 2 8 7 6 5 4 3 2 1 -8 -7 -6 -5 -4 -3 -2 -1 4 1 2 3 4 5 6 8 -2 -3 -4 -5 -6 -7 -8 Clear…

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Q: f(x) = х-2 ²-3x-4

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Q: Find dy du dy and when y and u are defined as follows. du dx dx y = 3u² + 6 and _u = x² + 2

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Q: Given functions f(x) = interval notation. x + 11 and p(x) = Domain of f(x) p(x) Domain of f(p(x)) :…

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