lim ∞-1x e* (sin (¹) + cos (¹)) (x - 2)²

Q: Find the limit of arcsec 5-32² (4) (6-₁-²)) sin(arctan(r)) as x approaches -∞

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Q: Find the domain of each function. (Enter your answer using interval notation.) 36-² (a) (b) - f(x) =…

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Q: Find the derivative of the function using the definition of derivative. g'(u) = g(u) = u + 1 5u - 1…

A: Given: g(u)=u+15u-1

Q: (a) Find the slope of the secant line connecting the points (x, y) = (0, 1) and (1, e). (b) Find a…

A: Please see the below picture for detailed solution.

Q: If then A-¹ = A = 0 0 -1 0 1 1 1 2

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Q: For f(x) – tz, find a using the definition, – Δε dy dr Δy lim Δε 0 Δε Δy f(x + Δz) - f(x) Δε lim Δε…

A: Here we have to find the derivative of a function.

Q: lim x-> ₁+ 2x I-xIJ - tanh tanh lái)) (½))

A: According to question,Given limit,limx→1+ 2x1-x-tanh1x-1

Q: 2 Reikia T resby Las ICELAND hallots ledo h Faroe I C₁ TISH and Berg Orkney!! Vigten dinburgh round…

A: The given function is;  f(x)=x+1/x. Repost the next question  .

Q: A 16 ft ladder leans against a wall. The bottom of the ladder is 4 ft from the wall at time t = 0…

A: The length of the ladder, l = 16ft

Q: Find the equation of the tangent line to the curve (a lemniscate) 2 (x² + y²)² = 25 (x² - y²) at the…

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Q: The current population of a small town is 2840 people. It is believed that town's population is…

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Q: Find all critical points of the function f(x) = x³ + 4x² . 4x + 10. If there is more than one…

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Q: e-32 sec(e-32) tan(e-³²)dz

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Q: Find f(a),f(a + h), and the difference quotient  f(a + h) − f(a) h,where  h ≠ 0 f(x) = 8x2 + 1

A: Given query is to find Indicated function operation.

Q: 49-54 Assume that all the given functions have continuous second-order partial derivatives. 0…

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Q: The length of a rectangle is increasing at a rate of 7 cm/s and its width is increasing at a rate of…

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Q: : f(x) = 3x2-4x-4 on [0,2]

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Q: f(x) = (3x² + 6)²

A: given function is :-f(x)=3x2+62then we have to find the second derivative now ,…

Q: A rod has length 3 meters. At a distance x meters from its left end, the density of the rod is given…

A: Given : length = 3 m density = 2+8x

Q: Find the nth Taylor polynomial for the function, centered at c. 1 f(x) = - n = 4, c = 3

A: Given, f(x)=1x2, n=4, c=3

Q: 25, 26, 27, and 28 Find y" by implicit differentiation. 25.9x² + y² Answer -81/y³ = 9

A: To find the double derivative of y

Q: lim oats-x Пех Tex sin (e-x) tan' (x²)

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Q: 2 Use the method of cylindrical shells to find the volume generated by rotating the region bounded…

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Q: The limit below represents a derivative ƒ'(a). Find ƒ(x) and a. f(x) = = a = lim h→0 (6 + h)³ – 216…

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Q: Evaluate the function at the indicated values. k(x) = −x2 − 4x + 5;     k(x) = −x2 − 4x + 5 k(0),…

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Q: A patient is adminstered a dose of 70 mg of a drug. If the body naturally disposes of 7% of the drug…

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Q: Find the exponential function f(x) = Cax whose graph is given. f(x) = Need Help? Read It y 2 (2,…

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Q: convert (8,7pi/6) to rectangular coordinates from polar coordinates

A: we will find the required.

Q: Calculate the domain and range of the following functions 1 (x² + 2) b.f(x) = √√x²-16 a. f(x) =

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Q: Σ in = 0 es Tue False n (-2)n-1 converges.

A: We will find the required.

Q: lim h→0+ f(x)=√27x 3x + 6 if x ≥ 1 3 (a) To determine whether f is differentiable at x = -1, we…

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Q: At 2:00pm a car's speedometer reads 20mph, and at 2:10pm it reads 35mph. Use the Mean Value Theorem…

A: Given,            At 2:00PM a car's speedometer reads 20mph, and at 2:10pm it reads 35 mph.To find :…

Q: Find the derivative of the following function. y=3.2x y'=0

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Q: 11. Let f(x) = x(x − 1)³ (x + 2)² a) Find the degree of the polynomial f(x) b) Find all zeros of…

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Q: For the pair of functions, write the composite function and its derivative in terms of one input…

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Q: Sketch the curve for the pair of parametric equations. x = O O O t² 6₁ Y=t 42 46

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Q: find the exact length of the curve x = 2(e^t)cos(t) y = 2(e^t)sin(t) through 0

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Q: Solve each equation for 0 ≤ 0 < 2. 15) √2sin 8-sin 20 = 0

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Q: if r>0, and 0≤Θ≤2pi, convert ((3√3)/2,-3/2) to polar coordinates

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Q: The definite integral is equal to Select one: O none of them Of 2udu + f² 2udu Of 2udu + f2udu O…

A: given  f(u)=-∫022uduwe know ∫abf(x)dx=-∫baf(x)dx∫abf(x)dx=∫acf(x)dx+∫cbf(x)dx

Q: Let f(0) = 3 and ƒ'(0) = 8. Then the equation of the tangent line to the graph of y = f(x) at x = 0…

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Q: Water is leaking out of an inverted conical tank at a rate of 14700 cubic centimeters per min at the…

A: As we know that V = 13πr2hwhere V = Volume h = height r = radius

Q: Calculate the derivative of: f(x) = = cos ¹(7x) sin-¹(7x)

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Q: Find the slope of the tangent line to the curve defined by 2x4 + 6xy — 7y³ = −623 at the point…

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Q: ) Assume that f(x) is everywhere continuous and it is given to you that lim x→3 f(x) +3 x - 3 = -10…

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Q: Make the indicated trigonometric substitution in the given algebraic expression and simplify (see…

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Q: Q3 Initial arm Q4 Fill in the Blank a. This is the arm of the angle that lies along the positive x-…

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

Q: The economic advisor of a large tire store proposes the demand function D(p) = sold in one day at…

A: Here we have to find the domain of the function.

Q: answer

A: Coterminal angle c) This is when two angles have same terminal form.

Q: 10. Find the absolute maximum and absolute Minimum valves OFF FA) = 2 Cos (1) + Sin (21), (6, 1) on…

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