If ƒ'(x) = x +4 x - 4 g'(x) = " differentiate g(x) = ƒ(x²) FI

Q: Let lim g(x) = -3 and lim h(x) = = 4 x-4 x+4 Determine the value of the limit lim [3+√√xh(x)] 2-4

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Q: Find F as a function of x and evaluate it at x = 2, x = 5 and x = 9. - $² = F(x) = F(2) F(5) = F(9)…

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Q: Consider the ellipse r(t) = 2 cos(t)i + sin(t)j. (a) Calculate the unit tangent vector and unit…

A: The ellipse is given as,

Q: The height of the cylinder is 8 inches. We'll be analyzing the surface area of a round cylinder - in…

A: Given that the height of the cylinder is  inches Total area of cylinder At  inches

Q: For the years from 2002 and projected to 2024, the national health care expenditures H, in billions…

A: The national health care expenditure H can be modeled by where t is the number of years past 2000.

Q: Find the second-order partial derivatives of the function. Show that the mixed partial derivatives f…

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Q: find the derivative  f(x)=log|tanx|

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Q: (a) Use the table of values for f(x) and the graph given for g(x) to calculate each of the…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: A clothing company determines that its marginal cost, in dollars per dress, is given by the function…

A: Given,

Q: Find the area of the region bounded by the hyperbola 92² - 4y² = 36 and the line x = 3.

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Q: Sketch the region bounded by the given lines. Then express the region's area as an iterated double…

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Q: Let ✈ denote the vector xỉ + y j + z k and a be a fixed positive constant. Compute divF where is the…

A: Let  denote the vector  and  be a fixed positive constant.To compute where  is the vector field…

Q: Suppose the supply of x units of a certain product at price p dollars per unit is given by p = 10 +…

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Q: Power Series +∞ Σ n=3 (3-x)n n³3√n Find the radius and interval of convergent of the series

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Q: Solve algebraically for all values of x: 5x4 6x³ = 0

A: Solve algebraically for all values of x:

Q: Change from rectangular to spherical coordinates. (Let p≥ 0, 0≤ 0 ≤ 2л, and 0 ≤ y ≤ л.) (a) (0,4√3,…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Find the inflection points for the function f (x) = 8x - sinx, ≤ x ≤ 7 < O (π, 8π), (2π, 16T + 2) ○…

A: The given function is  ,

Q: A ball dropped from a height of 14 feet begins to bounce. Each time it strikes the ground, it…

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Q: ints) Determine if the improper integral is convergent or divergent. Eval- e integral if it is…

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Q: Suppose that f(x) = g(h(x)). In each part, based on one of the functions provided, find a formula…

A: Given: (a) If , then to find .(b) If , then to find .Note: Since the student has posted multiple…

Q: Find all the values of x such that the given series would converge. ∞ n (−1)″10″ x” n=1 (√n+11) The…

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Q: Evaluate the triple integral. 16 3 [[[ (x - y) dv, where E is enclosed by the surfaces z = x² X 1, z…

A: To find  Where E is enclosed be the surfaces

Q: Find the inflection points for the function f(x) = 8x – sinx, 7 ≤x≤ ¹1T 4 4 O (π, 8π), (2π, 16π + 2)…

A: Point on the graph of f(x) at where a change in direction of curvature occurs.These points are…

Q: Let lim g(x) = 1 and_lim h(x) = 9 x→4 x 4 Determine the value of the limit x lim x→4 g(x) + h(x)…

A: we are given the limits.

Q: Suppose an = -баn_1 — 40л-2 a az 03 4an-3 and a4 = -92, a5 = 500, and a = -2672. Find A1, A2, and…

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Q: The function P(x) = −2.5x² + 775x – 9500 gives the profit when x units of a certain product are…

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Q: Evaluate the following determinant. Show all steps 2 1 -1 1 3 0 -2 2 4

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Q: Convert the point from spherical coordinates to rectangular coordinates. π (8, 2, 4) ( [ (x, y, z)=

A: In this question, we will convert the point from spherical coordinates to rectangular coordinates.

Q: series converges b) absolutely and c) conditionally 72=1 (n + 1)(2x + 1)n (2n + 1)2n

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Q: Let y = f(x) be given by the graph below: -6 -5 Not Image 0-4 0-1 02 -4 04 -3 -2 -1 6 1 -1 -2H -31…

A: A graph of the function is given.The aim is to find the points at which the function is left…

Q: 8. Evaluate the following limits: 1 (a) lim xx x r (- − arctanr) (b) lim x² xxx

A: Here we will find the limit of the given functions on using l hospital rule

Q: 2 1 0 2 0 0 -3 +- ( 8 ¦ ), -- (1 3), ∞ - ( ¦ ¦4) A= = B = C = = 0 1 -2 0 4 0 00 2 TC 1 1

A: According to Bartleby answering guidelines, we can answer only first three subparts. Please post…

Q: Simplify the expression completely. −1 - 4√-125 + √64+2√9

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Q: Find the area of the region that lies inside the first curve and outside the second curve. r = 11…

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Q: {), B=(1 3³), - ( 1² ) 2 0 0 00 2 -2 C = If a calculation is invalid or the result does not exist,…

A: 4) B=[0 -3           1 0]5) C= [2 1 0           0 1 -2           0 0 2]

Q: 47. lim- v-3 48. lim y-2 49, lim x-2 v-1-√²-5 v 3 y²+y-6 50. lim x 2 50 51. lim x18 8-y²-y x² - 4x +…

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Q: 2. d²y dx² dy dx +9y=0.

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Q: A baseball team plays in a stadium that holds 64000 spectators. With the ticket price at $8 the…

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Q: Suppose that the area, A, and the radius, r, of a circle are changing with respect to time and…

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Q: Suppose a company's total cost for a product is given by C(x)=30000-60x+0.3x^2 and the total revenue…

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Q: Find f'(x). X f(x)=x-44 f'(x) = (Type an exact answer.)

A: Given,

Q: What is the rule for the linear function described below? The linear function that passes through…

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Q: Consider the indefinite integral 152³ The integrand has partial fractions decomposition a b cx + d…

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Q: Find F '(x). F'(x) = F(x) = 14 3 √ sin(x) 7 √t dt 0 -sin 3 2 dt

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Q: If cos x = 4/5, csc x < 0, then sin 2x cos2x = tan 2x

A: Cosx=4/5 ,cscx&lt;0

Q: Which is a rule for a quadratic function represented by a parabola with a vertex at (-1,-3) that…

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Q: Determine the first three nonzero terms in the taylor approximations for the given initial value…

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Q: Given the given cost function C(x) = 2450 +820x + 1.3x² and the demand function p(x) = 2460. Find…

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Q: f(x) = -5x + x5 X x | y -2 -1 0 1 2

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: (1 point) Consider the transformation T: x=24u-v, y=u+ 24v A. Compute the Jacobian: d(x,y) d(u,v) =…

A: The objective of this question is to compute the Jacobian of the transformation T and use it to…