What values of x within [0,2pie] does f(x) = x-2cos(x) have a horizontal tangent line?

Q: Determine all critical points for the function, and Inflection points if they exist. f(x) = x3 - 6x2…

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Q: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(X), and…

A: Topic = Algebra Px=Dx·Qx +RxPx=-x2+x-3+8x+1

Q: 1. lim cot x sinx X- x-nt cotx sinx

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Q: x' + y = 0 y' – x = 0 x(0) = 1 y(0) = 0.

A: In order to solve the differential equations we need to separate the variables and integrate the…

Q: EXERCISES 4:Find the tangent line at the given point 1. Xy = -4, (2, –2)

A: Equation of tangent line of a curve y=f(x) at P(a,b) is given by, y-b=dydx(a,b)(x-a) Implicit…

Q: Find the marginal cost for producing x units. (The cost is measured in dollars.) C = 300(6 + 5   x)…

A: We have to find the marginal cost

Q: Find an equation of the tangent line to the graph of the equation at the given point. x + x arctan y…

A: We can find the equation of tangent line with all steps as below.

Q: Determine the point(s) (if any) at which the graph of the function has a horizontal tangent line.…

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Q: 8. Find all x- values for which f(x) = x-4 differentiable. A) at all points B) at all points except…

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Q: If a = i+ 4j + k and b = i + 8j + k, find a unit vector with positive first coordinate orthogonal to…

A: Given : a=i+4j+k and b=i+8j+k.

Q: Liaed the Residuesof fucation coske)

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Q: Write the equation of the hyperbola in standard form. (-1,7) (-1.5)

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Q: y = 4e" Vx et y = x2 – 1 x2 – 1

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Q: Let f(z) = V – 2. The slope of tangent line to y = f () at z = -1is %3D Answer:

A: The given function,            fx=x3-23

Q: Find the slope of the tangent line to the graph of the function at the given point. g(x) = 14 – x;…

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Q: (a) Find the second derivative of the function y = 2x sin(x). (b) Find the derivative of the…

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Q: 25) Show that the curve with parametric equations x = tcos(t) , y = tsin(t), lz = t ies on the cone…

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Q: The function f has a continuous second derivative, and it satisfies f(9) = -4, f'(9) = 0 and f"(9) =…

A: If a  function f(x) is defined on an interval [a,b] and it's second derivative exists at x=c, then…

Q: If the function y = A sin z + B cos a satisfies the differential equation y" + y – 2y = sin z for…

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Q: Find the tangent lines. To the cubic y=x³+6x²+10x+8 parallel to the line y=x

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Q: opportunity loss will always result the same decision as maximum Expected value ?   2-Prove…

A: 1) Expected Opportunity Loss = EOL   Expected Maximum Value = EMV FOR PROVING , Let Regret Table :…

Q: x y Use the method of Lagrange multipliers to find the dimensions of the rectangle of greatest area…

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Q: A small metal bar, whose initial temperature was 20° C, is dropped into a large container of boiling…

A: Newton law of cooling : dT/dt = k(T - Ta) and T = Cekt + Ta Boiling Temperature of water is 100° C…

Q: The population x of a certain city satisfies the logistic law d.x 1 1 || dt 100 (10)8 where time t…

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Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. r=…

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Q: If we are integrating by parts and we have u = x² and dv = cos xdx, what are du and v?

A: given u=x2 and dv=cosxdx

Q: Find the derivative of the function. 6x3 f(x) = + 8x2 Step 1 The function (x) can be simplified to…

A: The differentiation is given below.

Q: Find а) b) a? - an ww. lim lim x→a I – a

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Q: :) Find the average value of the function f (x) = 2sin ( Tx) cos ( Tx) on the interval [1,5]. --;…

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Q: Espar Find an equation of the hyperbola having foci at (-2,-V40) and (-2, 40) and asymptotes at y3 1…

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Q: Consider the geometric series 2n +1 Σ 15 (-3)" n =0 a) : What is the first term of the series First…

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Q: a) Suppose that f(4)=3 and f'(4)=-5. Find g'(4) where g(x)=Vx f(x)

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Q: 7 For the function f(x) = x – , find all values of c in the interval [4,6] that satisfy the %3D -…

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Q: x + 1 dx x(x² + 1)

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Q: Use the function f and the given real number a to find (f ) (a). (Hìnt: See Example 5. If an answer…

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Q: (2) find integrals S tanX dx

A: ∫tanxdx here is the direct formula of tanx = ln(cosx) +c

Q: ! Consider the nonhomogeneous DE: y" + y' - 6y = (12 – 16x)e*. A) Verify that y, = 4xe* is a…

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Q: Evaluate the integral. 5 cosh(t) dt

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Q: 2.14 Show anx" + ... a12 + ao lim n an bn .. provided that b, # 0.

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Q: h.w 5 EXERCISES 1: Find the gradient of the function at the given poin 1. f(x, y, z) = x² + y² – 2z²…

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Q: can you hand write please

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Q: The height (in meters) of a projectile shot vertically upward from a point 2 m above ground level…

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Q: Hence, determine whether the function is continuous at x = 2x. ) Find the value of k such that the 5…

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Q: fi at nd laplace: {e}

A: Use the formula for the Laplace Transform for the given function.

Q: Find the derivative of the function. y = 4t   t + 7 y' =

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Q: Find a positive number z such that the sum of its reciprocal and 5,324 times its square is as small…

A: Let the number is x than we need to minimize function f(x)=1x+5324x2, x≥0

Q: x = e', y= te', z= te"; (1,0, 0)

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Q: Find the exact length of the polar curve. = 02, 0s0 < T/2

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Q: Is the set Z of integers countable? Why or why not? How about the set of all odd positive integers?…

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Q: Find the indicated term of the arithmetic sequence with the given description.  The first term is…

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