Given the graph of f, find any values of x at which f' is not defined. Ox=1 Ox=2 Ox=-1 Ox=0 412

Q: find the slope of the curve at the indicated point. Y= -6x-6, x=3

A: Given query is to find the slope of the curve.

Q: 7. The series Σ(-1)*+1 2(-1)** 1/2 k² k=1 (a) (c) Converges absolutely Diverges (b) Converges…

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Q: 2. Solve the following a) Sketch the solid which volume is expressed by dydzdx b) Sketch the solid…

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Q: 5. y" - 2y + y = 14x³/2ex

A: Note:- I am doing question number 5 as you mentioning.

Q: 2. Solve the following integral [(secx a. tanx + secx + C O b. secx - tanx + C O c. tanx - secx + C…

A: formula used  ∫sec2x dx=tanx +c∫sec(x)tan(x)dx=sec(x)+c

Q: Find the area of the region bounded by the curves y = x² - 6x + 6 and y = -x² + 4x - 2.

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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: Set up, but do not evaluate, an integral for the length of the curve. ST 2 x = 4 sin(y), Osys (C dy

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Q: Use the Comparison Test to determine whether the infinite series is convergent. ni Σ_n² By the…

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Q: 11) find the derivative of the function.

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Q: Use the matrices to find BA, if possible. [2121 [11311 A = 331 B = 4311 [3201] + 2 161 129 1 12 1 0…

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Q: 4 [ (2x³ + 5x) dx with n −1 = 10 steps

A: Given question:- Find an upper bound for ET in estimating A 5 B 5/4 C 10 D 64/25

Q: Use implicit differentiation to find 6 y=x-y and

A: Topic - First and second derivative of a function We are given, 6y=x-yWe know thatddxxn=nxn-1

Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? Give…

A: Given function: fx=x8/9 on the interval -8,9.

Q: e2x-3ex-4=0

A: Topic = Algebra

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

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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: 4. Consider f(x) = 6 + (x+3) ²/³. Find the extrema of this function using the first derivative test.

A: We have to find extrema by first derivative test.

Q: Let f(x) = 8x². (a) Find f(x)-f(-2) X+2 (b) Find f(x) = f(a) x-a

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

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Q: Problem 6e. Practice. Find the Derivative of the following function: F(x)= C08 (2x) Le-Sin (2x)…

A: Given query is to find th derivative.

Q: Differentiate f(x) = 5(6x8-8x6) ¹0. You do not need to expand your answer. f'(x) = Factor out the…

A: ddxxn=nxn-1

Q: Evaluate te F. dr. F(x, y) = xi+yj C: r(t) = (9t+4)ī + tj, Ostsi

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Q: Find the indefinite integral. (Use C for the constant of integration.) √ 25 e2x 25+ e est dx

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Q: An exponential function in the form y = Provide your answer below: b = 1024(6) contains the point…

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Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. y (a) 256 (c)…

A: Topic = Area

Q: Find the absolute extrema of the function y = 3x3 2x on [1,1]. Type your answers as coordinates (x,…

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Q: where c = m = 8 6 -3 4 2 -4 -6- -8- -10- The net signed area in the above graph can be written as…

A: See below the answer and explanation

Q: Determine whether the vector field is conservative. F(x,y)-8+ Sad) O conservative O not conservative

A: Formula used: dxndx=nxn-1

Q: The following problems involve f(x) = 3x¹ − 8x³ - 66x² + 144x + 400 1. Find the relative extrema of…

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Q: indicated point. (a) y = 3x² + 4x+1 at (b) y = 2√x+1 at (4,5 2x (c) y = at (-1,1) x-1 2 3 y ==-=at…

A: We have to find the equation of tangent line to the given equation and points

Q: Solve the corresponding differential equation given the general solution via elimination of…

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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: Fill in the spots in the integration process below based on the indefinite integral 4x²-25 S using…

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Q: -10 -8 -6 Answer: f(x) = -4 -2 20 16 12 8 4 -4 do -12 -18 2 9 8 10 Submit Answer

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

Q: tan(x) – 4 sec(x) f'(x) = cos(x) + 4 sin(x) If f(x) = f'(-3) = -.43 then: I q X

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Q: Find the centroid (x, y) of the region that is contained in the right-half plane {(x, y) | x ≥ 0},…

A: As we know the expression for the centroid. x¯=1A∬xdydx and y¯=1A∬ydydx Where Area=A=∬dydx   From…

Q: 11. A rich uncle wants to make you a millionaire. How much money does he need to invest at the time…

A: We know At=Pert⇒At=Amount at time t⇒P=initial amount ⇒r=rate of interest ⇒t = time in years

Q: Question 15 Find constants 4 and 8 such that the function y Asinx + Bcost satisfies the differential…

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Q: If f(x) x+1 4x 3x + 5 13x + 5 3x + 3 13x + 1 3x + 2 and g(x) = 3x x + 3' then (gof)(x) is

A: given  f(x)=x+14x                        g(x)=3xx+3           gof(x)=g(f(x))

Q: (c) [(317+(31 sint)7) dt (d) ((e)i+e' cos(re)7) dt

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Q: The parametric equations of lines L₁ and L₂ are as follows: L₁ x= 1+ 4t y=2+7t z = ½-5t and L₂: x= 7…

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Q: Find the intercepts and asymptotes. (If an answer does not exist, enter DNE. Enter your asymptotes…

A: The given function rx=3x2-30x+76x2-10x+25 We have to find the domain, range, horizontal and vertical…

Q: Find d²y/dx² if y = x cos(2x) - sin²(x). Answer:

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

A: The given sequence is; an=n3/(3n3+1).

Q: Determine the corresponding differential equation for a family of parabolas with focus and vertex on…

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Q: 9. Use the properties of logarithms t a) f(x) = ln (e-2x) + 3x + In b) f(x) = ln (²) + ln 4 − elnx -

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Q: 9. Find the local quadratic approximation of f(x) = x³ at xo = 1, and use that approximation to find…

A: To find the local quadratic approximation of fx=x3 at x0=1, and by using that approximation to find…

Q: If f(x) = √7x, find f'(x). Find f'(2).

A: Solve

Q: 7. Compute fa, fy, and fz. (a) (x² + y² +22)-1/2 Straight forward (b) sin-¹(xyz) Straight forward…

A: Please see the below picture for detailed solution.