Find the limit. use I'Hospital's Role cos(2t) - 1 t-T (c) lim t

Q: Find the equation of the tangent line to the curve y = 4 tana at the point (7,4). The equation of…

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Q: Let f(x) = sin(x), on [0, 2π), solve f(x) = x = Preview - V2 2 Preview

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

Q: A box with an open top is to be constructed from a square piece of cardboard that is 12 inches wide…

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Q: Consider the function f(x) = 6√x + 6 on the interval [3, 8]. Find the average or mean slope of the…

A: Given query is to apply mean value theorem.

Q: f z dz z+1 Ans. 1 - Int

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Q: Two long straight roads, one running East-West, and the other running North-South meet at a point O.…

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Q: Σ n=1 2n + 5 n 5η

A: Given series ∑n=1∞2n+55n

Q: In Exercises 21 - 30, eliminate the parameter in the given parametric equations. 21. x= 2t +5, y =…

A: Given: x=2t+5 y= -3t+1

Q: A homeowner wants to build, along his driveway, a garden surrounded by a fence. $2 per foot $6 per…

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Q: If f(x) tanz 4 sec x

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Q: If log5 (log₂ (log3 x)) = 0 then x equals O (A) 0 O (B) 9 O (C) 5 O (D) none of the other answers is…

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Q: Find 4 Σ (-()) i=2 First write out the summation: Find the answer:

A: Please see the below picture for detailed solution.

Q: cricital numbers of f(x): ng the second derivative value test, list the critical point(s) that can…

A: f(x)=x4(x-3)7 Critical points can be calculated using f'(x)=0

Q: The drink booth at the school fair had these 4 types of drinks: root beer, ice tea, lemonade, and…

A: A bar graph represents data in the form of rectangular bars with it's heights proportional to the…

Q: The plane y + z = 2 intersects the cylinder x2 + y2 = 5 in an ellipse. Find parametric equations for…

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Q: 1 The function h(x) x-8 Given that g(x) = (x - 8), find the function f(x). f(x) = Question Help:…

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Q: Find the points on the cone z (x, y, z) = (x, y, z) = Need Help? Read It Show My Work (Optional) IE

A: Here we using the Lagrange multiplayer.

Q: Q4: please answer questions on the bottom  Part B: Use a graph of the curve to explain why the…

A: Given:  y=sin14πx Point P1,0Point Qx,sin14πx ------------------------------------- Note: Only…

Q: In Exercises 33-36, find the arc length of the graph of the parametric equations on the given…

A: (33).The given parmetric curve is:x=-3sin(2t)       and       y=3cos(2t)       on  0, π

Q: The function f(x) has a domain of (-∞, -1) u (-1, ∞) and a second derivative given by the following.…

A: Topic = Functions

Q: A car rental company offers two plans for renting a car. Plan A: 35 dollars per day and 10 cents per…

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Q: 11) The graph of a rational function f(x)=n(x)d(x) is shown below. To view other parts of the graph,…

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Q: x² e2x dx find u, v and then find the answer. S ومح

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Q: 0.022t The exponential model A = 752 e describes the population, A, of a country in millions,…

A: Given that A=752e0.022t Here to determine the year when the population will be A=1362 million…

Q: Given f(x)= x-2 ex a) Determine on which intervals f(x) is increasing. b) Find the…

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Q: If then f'(x) - f() = * sinh}(7a)

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Q: 2. secx COS Lanx cotx =1

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Q: Evaluate the expression. log 6274 log 6274= (Simplify your answer. Type an integer or decimal…

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Q: 2. Solve the following integral S (secx - tan x) secx dx O a. tanx + secx + C O b. secx - tanx + C O…

A: The given integral is (secx-tanx)secx.

Q: For the given function, find all values of c over the interval (4, 8) stipulated by Rolle's Theorem…

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Q: 5. Let f(x) = 2√x + 4. (b) (c) Find the domain and range of f. Graph f. Label at least 3 points on…

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Q: For the function f(x) given below, find the derivative (-¹)'(c) at the given point c, by first…

A: Topic - Inverse function and derivatives We are given, f(x)=5x+10x17we know thatif a=f-1(c)then…

Q: a) Interval(s) where f(x) is increasing: b) Interval(s) where f(x) is decreasing: The value(s) of a…

A: according to our guidelines we can solve only first four questionsplease upload remaining…

Q: Given the function g(x) Find the first derivative, g'(x). g'(x) Evaluate g''(-5). g''(-5) = 8x³…

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Q: Determine whether the sequence with the given nth term is monotonic and whether it is bounded. Use a…

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Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

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Q: Consider the following parametric equations. x(1) = √i y(t) = 1²-21 (C2a) Find the equation of the…

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Q: Find the second derivative. 6 Select one: A. 36 LIE

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Q: Find values of m and b such that: f(x)=x2+1          if x=1 is differentiable.

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Q: O 8 C 48 Use differentials to estimate the change in when x=5 and dx = -1/6. Use this f(x)=√√3x+1 to…

A: we need to use the differentials to estimate the change in f(x).

Q: Find parametric equations for the tangent line to the curve of intersection of the paraboloid z = x2…

A: Given Data : Two curves are given as, z=x2+y2 6 x2+4 y2+5 z2=30.   Required : We have to find…

Q: Let f(x) = Then f'(x) = m = 4 sin x 2 sin x + 6 cos x ㅠ The equation of the tangent line to y = f(x)…

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Q: Let u(x) = sin(x) and v(x) = x20 and f(x): u'(x) = v'(x) = f' = u'v - uv' v² = u(x) v(x)

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Q: Analyze the following rational function: f(x) 5+2x² 2 x -x - Include the following: 2 • Identify the…

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Q: x²-2x Find all pertinent information and sketch the graph of f(x) = x²-4 Find all asymptotes: HA:…

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Q: 8:49 A particle moves along the x-axis position at time 0 < t < 18 is g x(t), whose graph is shown…

A: We have to find the interval  such that particle is decreasing

Q: Suppose you are climbing a hill whose shape is given by the equation z = 1100 0.005x2 - 0.01y2,…

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Q: Complete the table shown to the right for the population growth model for a certain country. k=…

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Q: 3. Evaluate the following integral S sin x - cos x - dx sin x + cos x O a. In[sinx + cosx| + C O b.…

A: Let's evaluate the given integral.

Q: 16) Write a possible expression for a rational function, whose graph is below: 4 Y 3 2 1…

A: see below the answer and explanation