the open interval(s) where the following function is increasing, decreasing, or constant. Express your answer in interval notation. -10 10 5 -5 Enable Zoom/Pan 10 X

Q: In Exercises 31–44, find the derivative 31. y = sin¯¹ (7x) 33. y = cos ¹(x²) 1

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Q: B- Find the equation of the tangent line to the curve y = x² - 2x at x = 3

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Q: Find a + b, 9a + 7b, lal, and la - bl. (Simplify your vectors completely.) a = 9i 8j + 7k, b = 7i 9k…

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Q: What is the standard form equation of the parabola given the focus and vertex. vertex: (-8,1)…

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Q: to g as y = tan¯¹(x)}) When y is on the interval (-/2, 1/2), the identity sin²(y) + cos² (y) = 1…

A: When y is on the interval (-π/2,π/2), the identity sin^2 (y) + cos^2 (y) = 1 (which holds for all…

Q: If a tank holds 5000 gallons of water, which drains from the bottom of the tank in 40 minutes, then…

A: If a cylindrical tank holds 120,000 gallons of water which can be drained from the bottom of the…

Q: 5. fx³ cosh¯¹(x²) dx

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Q: Write an equation for a rational function with: Vertical asymptotes at x = 4 and x = -2 x intercepts…

A: Vertical asymptote at x = 4 and x = -2 x-intercept at x = 2 and x = 6 y-intercept at y = 10

Q: et H(x)=F(G(x)) and J(x)=F(x)/G(x). Suppose F(8)=9, F′(8)=1 G(8)=2, G′(8)=3 G(10)=8, G′(10)=−6 then…

A: The given data is: Hx=FGxJx=FxGx    F8=9, F'8=1G8=2, G'8=3G10=8, G'10=-6

Q: 6. The general term of a geometric sequence is t = 3(5)²*, where is a positive 22 integer. Show all…

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Q: 1 ++ -2 6 7 V = 8 10 1 The graph above shows the base of an object. Compute the exact value of the…

A: Given: Graph is given

Q: 1 1 Jo x-1 dx

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Q: Consider the following. y = 3x³ - 18x² +7 (a) Find the critical values of the function. (Enter your…

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Q: A potter forms a piece of clay into a cylinder. As he rolls it, the length, L, of the cylinder…

A: Here, the amount of the clay is fixed. dVdt=0...(1) Now, the volume of the cylinder is given by:…

Q: a) Find f'(0) if f(x) = 2x Give three digits past the decimal point. b) What is the slope of the…

A: To find the derivative of given function at the mentioned point.

Q: Find each of the following limits. lim e -5t = t → 0 t² lim t→0 sin²(t) lim tan(3t) t-0 = = Find the…

A: We can evaluate the given limit by using the limit rules.

Q: Find a local linear approximation for the function f(x)=4x+10/x−3 valid for x near 4. Answer:…

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Q: Lim X→-2 x³ +8 x²-4 lim X-3 (x+3)³-12 X x²-9 lim x -3x +3

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Q: CUNCHL Allchiptirigits (a) Find the third Maclaurin polynomial for f(x) = 9+ 10x + 3x² - 8x³ P3(x) -

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Q: In a particular year, the world's population was about 7.4 billion people and a country's population…

A: In a perticular year, the world population was about 7.4 billion people and a country's population…

Q: A 50-gallon tank initially contains 20 gallons or pure water. Salt-water solution containing 0.5…

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Q: The number of thousand mp3 players produced per month by a certain manufacturer t months after the…

A: Given :- The number of thousand mp3 players produced per month by a certain manufacturer t months…

Q: K Find the point on the plane 3x + 5y +z = 9 that is nearest to (2,0,1). What are the values of x,…

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Q: Choose the expression equal to (Use implicit differentiation.) E dx In(x + y) = x

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Q: 5 Let f(x) = 10x + -. (a) Find the interval(s) where f(x) is increasing. (Enter your answer using…

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Q: Find of cos y - 2xy + 3x = 2x sin x dx

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Q: A company's total cost, in millions of dollars, is given by C(t) = 100-50et where t is the time in…

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Q: A cable hangs between two poles 14 yards apart. The cable forms a catenary that can be modeled 8…

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y)=5e-5ye*

A: Given function:- fx,y=5ey-5yex

Q: Chris Lynch plans to invest $400 into a money market account. Find the interest rate that is needed…

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Q: 5. Find of √√xy + 2x = √y dy dx

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Q: Determine whether the given first-order differential equation is linear in the indicated dependent…

A: given differential equation y6-1dx+xdy=0

Q: The first term of a geometric series is 4. The sum of the first two terms is 7, and the sum of the…

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Q: 5 T то

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Q: Find y' if y = (4 + 1)15z+17

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Q: The function graphed to the right is of the form y = a tan bx or y = a cot bx for some a#0, b>0.…

A: Solution: From the given graph pattern we can observe that it is cotbx function

Q: find the differential equation for following family of curves. Question: 1.Parabola opening…

A: 1. The equation of the parabolas opening downwards                x-h2=-4a y-k    Vertex at the…

Q: Use the relevant information to compute the derivative of h(x) = f(g(x)) at x =1, where f(1) = -3,…

A: Given that, h(x)=fgx

Q: Determine the limit of the sequence or type DIV if the sequence diverges.. 19 6 102 n² an lim an n→∞

A: Given

Q: An angler hooks a trout and reels in his line at 3 in./s. Assume the tip of the fishing rod is 13 ft…

A: first define terminology hypotaneous = zperpendicular = yhorizontal distance = x

Q: 6. Find of cos y - 2xy + 3x 2xy + 3x = 2x sin x dx

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Q: In (T-(Tin+ (pvc)) To-(Tin+()) + t (V) = 0

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Q: MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Evaluate the surface integral 1/² F. n dA, where F(x, y,…

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Q: Evaluate the integral: 16x² √100 - 2² dx

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Q: Just red part, thanks

A: Given: ∑n=1∞nn2+9

Q: o evaluate the expression.

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Q: A 75-lb weight hangs from a string as shown in the figure. Find the tensions T₁ and T₂ in the…

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Q: Two cars are headed for the intersection of the two roads. If Car A is travelling south at 40 km/h…

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Q: (3) Draw the missing figure on the sequence below and provide solution/explanation: O

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Q: Find the general solution to the given differential equation. (Remember the constant of…

A: We are requied to find theGeneral solution of dydx=x5yandParticular solution of 4y2dx=3x2dy     The…