For what values of x, 0 ≤ x ≤ 2π, does the graph of f have a horizontal tangent? (Enter your answers as a comma-separated list.) f(x) = x + 2 sin x

Q: urvey was giv

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Q: 3. Consider the curve r(t) = (3t+1)i + (5t cos(t)-2)j + (e² + 1)k (a) Compute F(0). Show your…

A: Note :- Since you have posted multiple questions with multiple subparts, we will provide the…

Q: Find (fogoh)(x) if f(x) = ln(x), g(x) = x + 2, h(x) = 3x². What is the domain of (fogoh)(x)?…

A: Composite function  Find domain

Q: If 4x − 2x² <f(x) <x² - 2x +3 for - all real numbers except for x=1, then

A: We have to solve given Questions.

Q: Consider the function f(x), for which f(0) = 4 and f'(0) = -11. Find h'(0) for the function h(x) h'…

A: The function fx satisfies f0=4 and f'0=-11. We have to find the value of h'0 for the function…

Q: Use the graph below to estimate the marginal cost at the following levels of production. Round your…

A: To Find: Marginal cost when the quantity is: (i) 18,000 (ii) 14,000

Q: Differentiate. f'(x) = f(x) = 2 − xex x + ex

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Q: Suppose that lim an = 4 and lim bn = 9. n→∞ n→∞

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: 71) Find the following for the given function: (S+8)(x) · (S−8)(x). (18)(x) . (4)(x). (f+8)(3).…

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Q: 4. In a lottery game where 4 numbers are chosen from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9), how…

A: This is question of permutation  and combination  Here lottery number choose we have to find…

Q: On the basis of data obtained from a preliminary report by a geological survey team, it is estimated…

A: Given that,the rate of oil production, rt=3.935t3.45e-1.351t   thousand barrels per year.where t is…

Q: 3 4/3 Find the length of the curve y = -x 4 3 2/3 8²4+ ²13. ·X +8 for 1 ≤x≤ 8.

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Q: whats y" of y=15xcosx

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Q: Find the arc length function for the curve y = 2x3/2 with starting point Po(9, 54). s(x) = Nood…

A: y=2x32formula for arc length is L=∫x1x21+(dydx)2dxd dx(xn)=nxn-1

Q: how do I plug in the numbers? That is the part I am stuggling with.

A: We have the values f(6)=-1, f'(6)=3, g(2)=6, g'(2)=5   find the value of F(2) based on the…

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) fee-t at dt

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Q: s) Given the acceleration, initial velocity, and initial position of a body moving along a…

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Q: Eliminate the arbitrary constants c, and c₂from y = C₁ + С₂e³x 3x a. y" -y+x=0 b. y + 4y¹ = 0 c. y -…

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Q: What is the particular solution y' = x³ - 2xy; when x = 1, y = 1? a. y=x² +e(¹-x²)-1 b. 2y=x²…

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Q: If f is differentiable at x = 3, then O True False f'(3) = lim h→0 f(3+h)-f(3) h

A: here we have to choose the correct option.

Q: Question 1 ** A race-car starts at the 3 o'clock position and drives counterclockwise on a circular…

A: Given that starting position is 3 o'clock and drives counterclockwise on a circular track with…

Q: Question #3 - Find the relative extrema for the function f(x)=x²-3x using the second derivative test

A: Given function , f(x)=x3-3x

Q: Consider the function f. Evaluate the following limit. Lim X-2x+1 X+-3 2)Lim X²-4 X-2 1-5XH 3) Lim…

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Q: تر ه

A: Graph of the function is given, we have to find the given limits.

Q: Find equations of the tangent line and normal line to the given curve at the specified point. 6x…

A: The given function y=6x1+11x2. We have to find the equation of tangent and normal line at the point…

Q: Find the derivative of the function. f(z) = e²/(z − 1) f'(z) = (=) z-1 e

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Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

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Q: |x|-5 lim x−-5x2–25 ||

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Q: For the given cost function C(x)=25600+200x+x^2 find: a) The cost at the production level 1550 b)…

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Q: 3. Suppose that equation 2(d) represents the position of a particle moving in a straight line where…

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Q: 3- x², f(x) = { 2, X, (a) Graph the function f(x). FG-1)=4, F(0)=2, F (b) Compute the values f(-1),…

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Q: Standard 52-card deck 5. From a standard deck of cards (52 cards) how many Diamonds red 2 3 numbered…

A: Here we have given a deck of 52 cards now we have to find out the different ways  in which we can…

Q: Rate of Change of Production Costs The daily total cost C(x) incurred by Trappee and Sons for…

A: The daily total cost Cx incurred by Trappee and Sons for producing  x cases of TexaPep hot house is…

Q: Given that f(x) = x³h(x) h(-1)=5 h'(-1) = 8 Calculate f'(-1). -33 Hint: Use the product rule and the…

A: Formula used ddxxn = nxn-1ddx( u.v ) = udvdx + vdudxGiven f( x ) = x5h( x )

Q: et s(t) (t) = = 4t³ - 12t² – 36t be the equation of motion for a particle. Find a function for the…

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Q: Find the Taylor series generated by f at x = a. f(x) = 6X, a = 2

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Q: 4. Use the Gram Schmidt, aka Marquis de Laplace process to produce an orthogonal basis with the same…

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Q: make the ODE's inot variabke separable using a substitution. dy/dx=((1-2x-5y)^1/2 )/((2x+5y)^1/3

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Q: Let f(x) = sin(√x) +3 Find the slope of the tangent line to the curve y = f(x) at the point where x…

A: To find slope of tangent line.

Q: [1] Let f(x) = 3-x², 2, X, x < 0, 0≤x≤2 x ≥ 2 (a) Graph the function f(x). (b) Compute the values…

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Q: 37. For 0 < t < 2π, let f'(x) = sin(2x). On which of the following intervals is f concave down? O…

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Q: 36. 4x² 16x³ 4x + 1 dx

A: here we have to find the integral.

Q: If f is a differentiable function, then O True O False da [ƒ (x³)] = f'(3x²)

A: We want to differentiate f( x3 )

Q: Find the equation of the tangent plane to the curve z = ² - y² at the point (5, 4,9).

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Q: Suppose that f(5) = 3, f'(5) = 9, g(5) = -4, and g'(5) = 6. Find the following values. (a) (fg)'(5)…

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Q: 6. A manufacturer produces bolts of a fabric with a fixed width. The quantity q of this fabric…

A: We can find the solution as follows

Q: The cost of producing xx units of stuffed alligator toys is c(x)=0.002x^2+6x+5000. Find the marginal…

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Q: 8. At what angle do the parabolas, y = ax and = 8 ay intersect? Ans. At (0, 0), 90°; at another…

A: According to question,Given equation of parabolas,y2 = ax,andx2 = 8ay

Q: Find the slope of the tangent line to the graph of the function at the given point. f(x) = 2/3 at…

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Q: Find the derivative of the function g'(x) =□ g(x) = = X 3x + -3 x

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