Consider the function f(x) = 9 Sam 3 Let F(z) be the antiderivative of f(x) with F(1) = 0. Then F(x)

Q: Consider two nonnegative numbers x and y where x + y = 12. What is the minimum value of 15x² + 11y?…

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Q: A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations…

A: Note:- as you required only answer not complete work so, as i am solved in this manner.

Q: Which of the following expressions is equal to (A) B (С) (D) 2 1.² 2 S. ² 1.² X 2 X 5 X 3 - 3 4 3…

A: Solution: Write the fraction using partial fraction decomposition.

Q: 71-2 1 √n Inn

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Q: Determine the convergence or divergence of the series and identify the test used. Σ η = 1 1 3-2

A: The given series is  convergent .Solution is given below.

Q: X , 0≤x≤6000. A company manufactures and sells x television sets per month. The monthly cost and…

A: The solution is given below

Q: Sketch the situation if necessary and use related rates to solve for the quantity. A 10 -ft ladder…

A: Let the horizontal length of bottom of ladder from the wall is x ft and the height of the wall is y…

Q: Find by implicit differentiation. dy dx sin(x² + y²) = xey dy dx ||

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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y=2-x², 0≤x≤ 5

A: NOTE: Refresh your page if you can't see any equations. . the given function is  and the given…

Q: Find the derivative of the function at Po in the direction of A. f(x,y) = -3xy-3y², Po(-6,9), A=3i-j…

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Q: Use properties of power series, substitution, and factoring to find the first four nonzero terms of…

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Q: 39. What is k, if the function f is given by f(x) = x3 has an average value of 9 on the closed…

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Q: Convert the Cartesian coordinates below to polar coordinates. Give an angle in the range 0 0. A.…

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Q: 1. In economics, a Cobb-Douglas production function takes the form Y = AL³ Kº, where Y the output of…

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Q: A graphing calculator is recommended. The curve y = 1 1 + x² y = is called a witch of Maria Agnesi.…

A: Given query is to find the equation of the tangent.

Q: Evaluate the following limit using L'Hospital's rule. Provide your answer below: lim (cos(9x))(+2)…

A: d dx(lnx=1xd dx(cosx)=-sinxd dx(xn)=nxn-1sinxcosx=tanx

Q: 33. Find the centroid of the region bounded by the curves: a) y = x³ -x and y=x²-1.

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Integrate h(x, y) = (x+y)i + (y²-x)j over the closed curve that begins at (-7,0), goes along the…

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Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y=√√7-x, 1≤x≤7 X

A: The given curve is:y=7-x ;          1≤x≤7

Q: (x-9) State where the power series Σ=1 is centered n³

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Q: Find f such that f'(x)=x² +4 and f(0) = 1. f(x) =

A: NOTE: Refresh your page if you can't see any equations. . take integration on both sides

Q: A 70lb weight stretches a string 10 feet. The weight hangs vertically from a damping force…

A: NOTE: Refresh your page if you can't see any equations. . weight is w=70  pound gravity is 32 m/s2…

Q: List the first five terms of the sequence. an = n3 – 7 а1 а2 аз О t a5 = || = || || ||

A: To find the first five terms of the given sequence

Q: (b) You are given the point (-2, π/4) in polar coordinates. (i) Find another pair of polar…

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: A projectile is launched into the air. The function h(t) = -16 + 32t + 128 gives the height, h, in…

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Q: suppose Σan and Ση are series with positive terms and b is known to be divergent. n n (a) If an> bn…

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Q: Write out the first three terms of the Maclaurin series for f(x) = 7 1 = 7 ( 1 + 2 ) - ³. The…

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Q: Calculate the gradient of f(x, y) = cos(x² + 3y) Vf= ←

A: We have to find the gradient of the given vector.

Q: An object moves along the circular helix r(u) = cos(u)i + sin(u)j + uk from (1, 0, 0) to (1, 0, 2).…

A: Given that an object moves along the circular helix r(u)=cos(u)i+sin(u)j+uk from (1,0,0) to…

Q: Why can we pull the 2 out front and change the bounds of the integral from -2 to 2 to 0 to 2…

A: Substitute y^2=u then integrate with respect to u

Q: Let Use these values to evaluate the given definite integrals. (f(x) + g(x)) dx = b) ») ſª* (ƒ(x) —…

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Q: Convert to a logarithmic equation. Gf=A

A: lnxn=nlnxlnab=lna-lnbgiven  Gf=A

Q: x dy

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

Q: • Make sure your final answer is written as a single logarithm. a. 7 log(x) - 4 log(y) + 3 log(z)…

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Q: uppose f(x, y) = a) ▼ ƒ(x, y) = = 1 ⇒) ▼ƒ(-0.7, 7) = tan(x) + y and u is the unit vector in the…

A: The given function is f(x,y)=sqrt(tanx+y) Point = (-0.7, 7) Direction =<2,3>.

Q: U sin ing the derivative find the test points. x=-2,-1 Ox=2,-1 Ox=-2,1 x=2.1

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Q: lve √√-36 de by using trigonometric substitution x=6seco..

A: Given Integral:- ∫x2x2-36dx

Q: Find the form of the guess of the particular solution. y"-7y'+12y=3t^2e^4t - te^3t sin(t)

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Q: n = 1 10" 4 +97

A: To determine the convergence or divergence of the given series.∑n=1∞ 10n4+9n

Q: mange the point (-2,2, from rectangular to cylindrical coordinates and spherical coordinates. √²-25²…

A: Given ;  Point = (-2,2,1).

Q: In step 3, how did you know to use yp = ( 1 / (D^2 + 9) ) 4sin(2x)?

A: The given initial value problem y''+9y=4sin(2x), y0=1, y'0=1. We have to find the solution of the…

Q: Consider x^5 + 5xy^4 = -19197, find dy/dt when x = 3, y = -6, and dx/dt = 2 dy/dt = ?

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Q: Suppose that 3 ≤ f'(x) ≤ 5 for all values of x. Use the Mean Value Theorem to find values for the…

A: Given that 3≤f'x≤5 for all values of x. We have to find the bound for f2-f-2.

Q: Suppose that f(5) = 1, f'(5) = 2, g(5) = -7, and g'(5) = 4. Find the following values. (a) (fg)'(5)…

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Q: Write out the first three terms of the Maclaurin series for f(x) = 13 1+ The expression for the…

A: NOTE: Refresh your page if you can't see any equations. . substitute x=0

Q: suppose San and Σο are series with positive terms and bn is known to be divergent. n (a) If an> bn…

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Q: Use the integral test to determine whether the following series converge.If it converges, find its…

A: We will find the required.

Q: Suppose an individual makes an initial investment of $2,600 in an account that earns 6.6%,…

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Q: the tangent line to the graph of the equation x + y − e^(x− y) = 9 at the point (5, 5). y =

A: the equation of tangent line is y=5