x2-6x+13

Q: Find the inflection point of f (x) = ax – x² + e, where a is a positive constant. O In(3) O None of ...

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Q: d²y d'y (k) 을-42+13y =0 (1) "+2+y = 0 dx dx? dx dx? d? (m) dx (n) 9 +16y=0 d'y dx?

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Q: Enumerate and discuss the differentation of rules and give 2 examples of each rules

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Q: x+1 x 0 6-х the indicated test point. If it is discontinuous, specify the type of discontinuity.

A: We have to solve

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dx +C J Vre(4...

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Q: Given: y = 3x -9x -1 i. Determine its relative minimum point. ii. Determine its inflection point.

A: The solution are next step

Q: Consider the graph of f. -1 3 4 The shaded region over 0, 2] has an area of 6 and | f(x)dx = 37. Use...

A: Please refer the attached image for complete solution. THANK YOU.

Q: Time (s) 5 | 10 15 | 20| 25 30 Velocity (mi/h) |15| 21 22 26 31 30 29 der to have the time and the v...

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Q: Use the figures to evaluate the function if f(x) = tan x. f(a+ B) (x,-1) f(a + B) = (Simplify your a...

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Q: (-2x + 3 if x 1 Evaluate the lim f(x) where f(x) x→1

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Q: If g(x) = 2x + 3, f(x) = ax + b, f (1) = 5, and f(2) = 8, what is g[f(3)]? %3|

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Q: Find the average value of the function on the interval. f(x) = 16 – x2; [-4, 4] Find all x-values in...

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Q: Use your grapher to find the surface's area 3) y = sinx, 0 s x < T/4; x-axis A) 5.46 numerically. B)...

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Q: 5 EXAMPLE 7 If it is known that f(x) dx = 18 and f(x) dx = 13, ind f(x) dx. SOLUTION By a property o...

A: We have to solve

Q: 13т then find exact values for the following: 6. 0) equals 0) equals 0) equals

A: Given query is to find the exact value of trigonometric functions for indicated valuend theta .

Q: The curve x + y 3xy was first discussed in 1638 by the French philosopher-mathematician René Descart...

A: Solution is written in step2 and step3.

Q: Evaluate the integral. (* + 4)3 dx 2145 99 O 2401. O 2145

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Q: After its fastest rate of growth ever during the 1980s and 1990s, the rate of growth of world popula...

A: In 2010 it will start the second decade so substitute the value of t and simplify in first part then...

Q: 5x3-8 siven y = solve for the slant asymptot x2+3x-1'

A: y=5x3-8x2+3x-1To find the slant asymptotes

Q: 1. Given an equation of an ellipse, solve for the following values. 16x? + 25y? – 64x + 150y = 111 a...

A: The solution are next step

Q: The equation of the curve is y = x'+ 2x. Find the x-coordinates where tangent lines are vertical. (U...

A: The solution are next step

Q: The position of a particle in the xy-plane at time t is r(t) = (t+ 1) i + (t +3) j. Find an equation...

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Q: For the funtion f(x,y) = 2x2 + 9xy -4y2 + 7x - 8y -10 First find the first partial derivtive of f w...

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Q: Problem 3. Two boats are racing with constant speed toward a finish marker, boat A sailing from the ...

A: Given : Boat A is sailing from south at 13 mph and boat B is approaching from the east.

Q: f(x) = e1/(9x)

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Q: Find the derivative of the function. Simplify and express the answer using positive exponents only. ...

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Q: Use the figure to evaluate the following function, given that g(x) = cos x. g(2a)

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Q: For the function f(x,y) = square root of 3x2 + y2 Find the partial derivative of f with respect to ...

A: We have to solve

Q: Which of the following are rational functions? Select all that apply. 1 Of(x) - Of{æ) log(x) Of{x) x...

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Q: Tutorial Exercise Evaluate the indefinite integral. cos(R/x18) 19 Step 1 We must decide what to choo...

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Q: if x 0 —2х — 3 Evaluate the lim f(x) where f(x) = x→0 х — - 3

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Q: A 14 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 2 ft/s, how ...

A: Firstly we will draw the diagram for given information and then find the required as shown below

Q: Suppose if 0 < x < 5, if 5 <x < 10. 3x – 15 f(x) = 15 – 3x Evaluate the definite integral by interpr...

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Q: Test the series below for convergence using the Root Test. 7n Зп + 3 n=1 The limit of the root test ...

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Q: If a differentiable function f:R-→R is such that f'(x)>0 for x2, then which of the following are tru...

A: Use the property of first derivative of a function and select the  correct options. 

Q: Oil leaked from a tank at a rate of r(t) liters per hour. The rate decreased as time passed, and val...

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Q: Find all points on the x-axis that are 14 units from the point (6, - 7).

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Q: 5) Placido pulls a rope attached to a wagon through a pulley at a rate of q m/s. With dimension as i...

A: Solution...

Q: Problem 2. Set p(x) = x³ + ax² + bx + c. (a) Show that the graph of p has exactly one point of infle...

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Q: (3) Construct a function defined on the closed interval [0, 1] with no maximum and minimum. Justify ...

A: The Extreme Value Theorem (EVT) says: If a function f is continuous on the closed interval a ≤ x ≤ b...

Q: If we did a linear approximation of f(x) = = Vx around a = 4 we would find that f(1) is approximatel...

A: Given query is to find the linear approximation at a = 4 and x = 1.

Q: Check all that apply for the series 7 Σ n1.38 n=1 O Diverges by the Divergence Test (nth term test)....

A: Only p series test

Q: 5x3-8 Given y : solve for the slant asymptote. x²+3x-1

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Q: The rate, r(t), of the volume of water, in millions of tons, in a reservoir t years after 1990 as a ...

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Q: Evaluate the given limit, lim x-2 x→-1- x²+2x+1

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Q: Test the series below for convergence using the Root Test. Зп + 1 Σ 2n + 4 n=1 The limit of the root...

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Q: Find the total area of the region between the curve and the x-axis. y = 2x +7;1sxs5 O 26 O 52 O 18 O...

A: Given query is to find total area of region bound by the curve with x axis.

Q: Sx) = 3r + 4x² f(x) : 4x - 2 44. f(x) %3D %3D

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Q: At what rate is the diagonal of a cube increasing if its edges are increasing at a rate of 9.9 cm/s?...

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Q: Complete

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