Differentiate. g(t) = 14t g'(t) =

Q: Each of two tangents to the circle x² + y² = 25 has a slope 2. Find the points of contact.

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Q: Find the derivative of the function. f(z) = earcsin(z³) f'(z) =

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Q: Inx for all x > 0. The derivative of fis given by x 2. Let f be the function given by f(x) = f'(x)=-…

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Q: Find the derivative of the function. f(t)=√3+ tan(t)

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: 10. Question: Find h(2) . Assume f(1) = 2, ƒ(2) = 0, ƒ′(1) = 3, ƒ′(2) = 4 . g(x) is given by the…

A: To find . Assume . is the graph given below.

Q: 4. A = [ 5 7 5 ²]. b = = ['₁ 5 12 17

A: Given,

Q: Simplify the rational expression. y³ - 27 -y² + 9y - 18

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Q: Given F(1) = 1, F'(1) = 1, F(2) = 3, F'(2) = 7 and G(2) = 1, G'(2) = 5, G(3) = 6, G'(3) = 2, find…

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Q: Find the derivative of the function. y' = X ¹ ( 132 a y = tan-1 + In x + a х-а

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Q: The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of…

A: The length of a rectangle is increasing at a rate of and its width is increasing at a rate of .The…

Q: Find f. f"(x) = -2 + 36x - 12x2, f(0) = 2, f'(0) = 18

A: Given, .Given,  f(0)=2, f'(0)=18.We know,

Q: 1. Find the equation of the tangent at the given point: y=x² −2x² +4 at (2,4) Transcribed Image…

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Q: How many permutations are there of 43 objects when taken 11 objects at a time, if a particular one…

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Q: Find the derivative of the function. e Su -5u e y = e 5u <-5u + e

A: Quotient rule:

Q: Y=e^x sec x, then dy/dx =

A: .

Q: Find an equation of the line tangent to the following curve at the given point. y=9x +4 sin x;…

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Q: Find the logarithm using the change of base formula. log 717 log717= (Round to four decimal places…

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Q: Consider the following. (If an answer does not exist, enter DNE.) f(x) = x5 e-x (a) Find the…

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Q: Find f. f "(0) = sin 0 + cos 0, f(0) = 1, f'(0) = 3

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Q: 4x(4-x2)1/2  Find the antiderivative

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Q: 2. Find a function f such that f'(x)= xf(x)-x and f(0) = 2.

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Q: 2. For each expression f(x, y) below, D denotes the (natural/largest possible) do- main…

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Q: Winter FunⒸ has determined that the total profit (in dollars) for its west coast factory from the…

A: The profit function:The marginal profit function can be calculated by the differentiation of the…

Q: Consider the following. (If an answer does not exist, enter DNE.) 32 +² (a) Find the interval(s) on…

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Q: The figure shows a telephone wire hanging between two poles at x = -20 and x = 20. The wire hangs in…

A: The figure is shown as,The equation for the wire shape is given as,The length of the wire between…

Q: 2. Sodium chlorate crystals are easy to grow in the shape of cubes by allowing a solution of water…

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Q: Compute the derivative of the following function. f(x) = 5xe-5x f'(x) =

A: we need to find out the derivative of the given function.

Q: Express the given equation into the exponential form and then solve for x. log2 (5x - 10) = 3

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Q: A particle moves with position function s = t44t²³36t² + 15t, t≥ 0 (a) At what time does the…

A: Velocity function of a particle  is the first derivative of the position function of that…

Q: Find the area of the following region. The region common to the circles r = -8 sin 0 and r=4 The…

A: The region common to circles and

Q: Use the Chain Rule to find dz dt 1 where z = 3x siny, x = t², and y = 2t4.

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Q: 1. Let f be the function defined by f(x) = ln(2+ sin x) for ≤x≤2. a) Find the absolute maximum and…

A: The given function  for .The aim is to find the absolute extreme values and the inflection points.

Q: The hyperbolic cosine function cosh x (pronounced ‘kosh’) is used to describe a catenary, the shape…

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Q: Write a polynomial f(x) that satisfies the given conditions. 1 Polynomial of lowest degree with…

A: We are given the two roots of apolynomial and their multiplicities and also the value of the…

Q: Find the maximum rate of change of f(x, y, z) = x+y/z at the point (3, 4, 5) and the direction in…

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Q: 3. A student is completing a homework problem practicing the method of integration by parts.…

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Q: 2. For what values of n does this integral converge or diverge? Show all evidentiary work for each…

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Q: 6. A = 4 7 3 6 b = 10 5

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Q: For the graph of a function y = f(x) shown to the right, find the absolute maximum and the absolute…

A: Given graph of function y=f(x)

Q: Find the length of the parabolic segment r= 14 1 + cos 0 The length is (Type an exact answer, using…

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Q: Find the length of the spiral r=0², 0≤0≤√21. The length of the spiral is (Simplify your

A: Consider the curve

Q: 4. A suspension bridge with weight uniformly distributed along its length has twin towers that…

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Q: Inx 2. Let f be the function given by f(x) = for all x > 0. The derivative offis given by 1- ln x…

A: The given function is; f(x)=lnx/x

Q: Write a polynomial f(x) that satisfies the given conditions. Degree 3 polynomial with integer…

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Q: K Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: An object moves on a trajectory given by r(t) = (15 cos 5t, 15 sin 5t) for 0≤t≤. How far does it…

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Q: 1. Evaluate each 2-variable function f: D→ R below at the given points. For a point described with a…

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Q: Let f be a differentiable function. We are given the following values of ƒ and x |ƒ(x)|ƒ'(x) 4 16 36…

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Q: es of x in the interval [0,2ë] at which the graph 0 as a horizontal tangent.

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