Find the interval(s) where the function is increasing and the interval(s) where it is decreasing. (Enter your answers using interval notation. If the answer cannot be expressed as an interval, enter EMPTY or increasing decreasing f(x) = √√ 36-x²

Q: Let f(x) = (3x - x²) if 0 ≤ x ≤ 3 and f(x) = 0 if x 3. (a) For what value of k is f a probability…

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Q: Find the unique solution to the differential equation that satisfies the stated conditio dy In(x) dx…

A: given:differential equation dydx=lnxxy,  y1=6

Q: Suppose that f(x) = x³ - 6x² + 15. (A) List the values of all local maxima of f. If there are no…

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Q: The data in the table concerns the lactonization of hydroxyvaleric acid at 25°C. They give the…

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Q: use differentials to approximate the vaule of sqrt(25.1)  A. 5.0300 B. 5.0200 C. 5.0100 D.…

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Q: 2. Find dy/dx and d'y/dx² at the given point without eliminating the parameter : x = 6s², y=-25³ 3…

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Q: given by C(x) = -0.07x² + 75x. Find C(288) C(287) Interpret the result

A: we will find the required.

Q: 7. Solve for x: 16 X 70⁰ 10

A: As we know from the Sine Rule: sinAa=sinBb=sinCc Given:

Q: Solve using the elimination method. Also determine whether the following system is consistent or…

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Q: Suppose you compute a derivative of a continuous function g and simplify it as the following: g'(x)…

A: A critical point of a function is defined as the value of x where the function or the derivative of…

Q: Refer to the following figure, which displays a right circular cone along with the formulas for the…

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Q: 5. Find the points on the graph of f(x) = x³ - 3x where the tangent line has slope 0.

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Q: The figure shows a lamina that is shaded according to the given density function: darker shading…

A: I have appended the formula used in the solution part of the question

Q: Using the ratio test to determine the convergence or divergence of the series series. Divergent The…

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Q: you have to round it off and it will become 2.21

A: The final answer  A = 2.21875 sq units

Q: You are given the circle, x² + y2 = 25.

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Q: d) lim √2 - x X-2+

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Q: (b) x dx dt 1 sin³ (15)

A: Given  x = 1sin8( t5 )

Q: Differentiate. f'(0) = f(0) = cos(0) sin(0)

A: Please see the below picture for detailed solution.

Q: Differentiate f and find the domain of f. (Enter the domain in interval notation.) f(x) = = domain X…

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Q: Use linear approximation to estimate the value of the following  cos(pi/4 +0.01)

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Q: (x)) = main of f(g(x)). (Enter your answer using interval notation.) (x)) main of g(f(x)). (Enter…

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Q: (b) g(x) = (x + e*)², [0, In 4]

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Q: Find an equation of the tangent line to the graph of the given function at the specified point. x²-1…

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Q: Find and classify the critical points of z= (a²-8x) (y² – 4y) Local maximums: Local minimums: Saddle…

A: The given function is;  z=(x2-8x) (y2-4y).

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A: 6x2+xy+6y2=13d dx(xn)=nxn-1d dx(constant)=0

Q: Determine if the series O n=1 n cos (n) 3+n³ converges or diverges and choose the option that…

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Q: Find by implicit differentia dy dx xey = x - y

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Q: Find an equation for the graph sketched below: -5-4-3-2 ME 6 S -2 -3 -4. 5 -6 -7 -8+ N a

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Q: 12. The average rate of change of f(x) = (x-a)² over the interval a ≤ x ≤a + 1 is

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Q: determine if the mean value theorem can be applied to the function f (x)=x^2 on the closed interval…

A: we have given function f(x)=x2 which is continuous on the interval [3,9]. differentiation of this…

Q: c) lim x³+1 X-2x+1

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Q: A water well has an 8-inch diameter and is 180 feet deep. The water is 15 feet from the top of the…

A: Given: Pumping the well dry which is 8- inch in a diameter 180 feet deep for which the water is 15…

Q: find the general solution of the following differential equation. y′′′ − 3y′ + 2y = 0

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Q: Water is poured into an inverted cone (such as the one shown) Assume the cone's height h is four…

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Q: A tank contains 50 kg of salt and 2000 L of water. A solution of a concentration 0.0125 kg of salt…

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Q: 5. Evaluate the limit: lim X+3 a. 0 b. 9 3x C. d. +00 -1 1

A: K=limx→3+3xx-3

Q: Find the values of x, y and z that correspond to the critical point of the function: z = f(x, y) =…

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Q: Find the Maclaurin series and find the interval on which the expansion is valid. f(x) = ln (1-x²)

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Q: Let f(x) = x³ – 5x² + 2x - 5. Find the open intervals on which f is concave up (down). Then…

A: The solution is shown below-

Q: Find the inflection points of f(x) = x¹ + 9x³ — 15x² + 15. (

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Q: Consider the functions graphed below. C (0,b) (1,1) (a) Find the slope of the line. slope = Answer…

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Q: Q2 Find and simplify the derivative of f(x) = cosh ¹(sinh(x)).

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Q: Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of 3…

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Q: Find the sum of the convergent series. (Round your answer to four decimal place Σ (sin(7))" n = 1

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Q: Let a = (-3, -5, -2) and 6 = (2, 5, 3). Find a x b. <-5 X, 5 ✔25

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: From the graphs of f and g in the figure, we find the following. (Assume that each point lies on the…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: To solve the following problem

Q: 1. Determine whether the sequence converges or diverges. If it converges, find the limit. tan ¹ n A.…

A: Given;  A. an=tan-1n/n B. bn=Cosn.

Q: Find the length of the vector. v = (4, 0, -2,-5) ||v|| =

A: v=(4,0,-2,-5)