В С -10-2 -6 -2 1 5 13 2 69 3x + 2y = 4 >+ X

Q: If f(x) = (3x + 5)¯², find ƒ'(x). Find ƒʼ(2).

A: As we know that: The Chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1   The given function is:…

Q: f(x) = 6x - 5 (a) Find the inverse function of f. f-¹(x) = + 5016 (b) Graph fand f-1 on the same set…

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Q: Using calculus, find the equation of the tangent line to the function f(x) = 3 cos x when = 2.2. The…

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Q: 8

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Q: If x < 1 (x2 + 1 x - 22 if x 2 1 (a) Find the following limits. (If an answer does not exist, enter…

A: We need to find out the limits.

Q: Let f(x) = 9x² + x³ +20 + 24x Determine the absolute extrema of f on [-5, -1]. If multiple such…

A: The given function fx=9x2+x3+20+24x We have to find the absolute maximum and absolute minimum values…

Q: Find the domain of the vector-valued function. (Enter your answer using interval notation r(t) =…

A: To determine the domain of the given function

Q: Find the volume of the region below the surface z = 4x+6y over the rectangle R = [1, 4] ×[2, 3].

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Q: Find dx 11 for y = 9x2 sin x + 18x cos x – 18 sin x. dx

A: Finding the derivative of y

Q: Does the graph of the function below have any horizontal tangents in the interval 0≤x≤2x? If so,…

A: To determine whether the function below have any horizontal tangents in the interval 0≤x⩽2π. If so,…

Q: Consider g(y) = - 12y(-7- y) Determine the intervals on which g is concave down. g is concave down…

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Q: Solve each of the following integrals. (a) [{(t+1)7 + cost 7+kat 1+ 30 (b) s((ae²) 7 + (31) di

A: See the details solution in below

Q: nd the arc length along a circle of radius 14 units subtended by an angle of 160°. Round your answer…

A: Given query is to find the arc length.

Q: Before descent an airplane is cruising 23200 feet above the ground. The air traffic control tower is…

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Q: Problem 1. True/False. ex ex lim x 0 x lim x 0 1 Think carefully about the conditions for…

A: Here we have to state whether the statement is true or false.

Q: Write a function in any form that would match the graph shown below. -10 -8 -6 Answer: f(x) = -4 -2…

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Q: Problem 2. Find the following limits. (c) lim x 0 x (d) lim x48 x³ arctanr el/a - 1 1/x

A: Here is the solution:

Q: If 3x O -2. O 0. O 4. O 2. O -4. 3 [2x y/t then y =

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Q: Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some…

A: Use the concept of the differential equation

Q: vinnnnn 2. Use sigma notation to write the Taylor series about Xo =1, for Inx.

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Q: Sketch the graph of the function below, including correct signs, x-intercepts a intercepts. f(x) =…

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Q: According to Hooke's Law, the force required to hold the spring stretched x m beyond its natural…

A: The given problem is solved below in detail.

Q: below

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Q: A farmer finds that if she plants 80 trees per acre, each tree will yield 45 bushels of fruit. She…

A: Use maximization concept

Q: A dog food producer reduced the price of a dog food. With the price at $10 the average monthly sales…

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Q: 13. After t weeks of practice, a typing student can type w(t) 100(1e-0.4t) words per minute. How…

A: Given query is to find the time when the typing speed will reach to 80 words per minute.

Q: The graph of f' is given Assume that f is continuous and determine the x-values corresponding to…

A: Given question:- We have to find local maxima and minima point with the help of function's first…

Q: Given f(x, y) = 2e¹* sin(3y) ㅠ then Vƒ(0, ▼ ƒ(0, 7/2) =

A: As we know that ∇f=∂∂xi^+∂∂yj^(f)See below the answer and calculation

Q: Consider the following function, f(x), on the interval [-1, 8]. Absolute Maximum 1. Find the x value…

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Q: 0 Find the sum of the series > k=1 (a) (c) 12710 2 (b) (d) 3 (ⅱ). 3 5 11 10

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Q: (c) [(3r7+(3r sint) 7) dr (d) ((e)i+e cos(re)7) dt

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Q: Find the point on the line 4x+3y−4=0 which is closest to the point (2,−3)

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Q: the matrix A. Select an Answer 1. A = Determine if X is an eigenvalue of A = 13 -6 -27 -3 -12 7 32…

A: Note : As per our Guidelines we can solve first question . Please Repost Remaining questions .

Q: Find the derivative of y = (4x³) (5x² − 8) ³ d = 12x² (5x² - 8) *² dy dx ○ du = (127²) (10x² - 8) +…

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Q: Find the exact length of the curve. y = ²(1₁ +x²)3/2, 0≤x≤ 4

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Q: Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some…

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Q: The function f(x) = x²e¹⁰x is increasing on the interval and is decreasing on the interval The…

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Q: Let f(x) = x³ + 6x² − 96x + 19. (a) Use the definition of a derivative or the derivative rules to…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Find the general solution of the following differential equations:- 1) x² (y² + 1)dx + y√x³ + 1 dy =…

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Q: (x = -1 + sect b) { y = 2 + tant -<< 2 2

A: To convert the given parametric equation to Cartesian form.

Q: Find the maximum and minimum values of the function f(x, y) = x²y subject to 4x² + 2y² = 24 Please…

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Q: q is the number of thousands of pairs of sunglasses sold and produced, and P(q) is the total profit,…

A: Given query is to find marginal profit function and marginal profit

Q: 1) The braking distance of a vehicle is defined as the distance travelled from where the brakes are…

A: Given:  s= speed of truck d= braking distance --------------------------------------------------…

Q: Find all relative extrema and saddle points of the function. Use the Second Partials Test where…

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Q: Solve for the particular solution of the given IVP: O (t^2+y^2)^1.5 - 3ty = 89 O (t^2+y^2)^3 - 3ty =…

A: The given initial value problem is: dydt+y-tt2+y2t-yt2+y2=0 ;       y(4)=3

Q: The form of the partial fraction decomposition of a rational function is given below. A B = Now…

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Q: omplete the table. y = f(g(x)) y = (2x - 8)² U= u = g(x) y = f(u) y = 4²

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Q: -10 -8 -6 Answer: f(x) = -4 2 -200 160 120 80 40 -40 -80 -120 -160 -200 2 4 8 10 X Submit Answer…

A: Given query is to find the function of the graph.

Q: radius=100mm radius=100mm

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Q: y 11 2 sinh ² 7x

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