maximum

Q: Write as a single integral in the form 6 b [Fx f(x) dx f(x) dx. 5 -1 [²_f(x) dx + [³f(x) dx - [ ^_^…

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Q: The linear density of a rod at a point x centimeters from the left end is, where the left 2 grams…

A: Given the density at a point 'x' cm from the left end ( origin) is d(x) = 2/(1+x) The length of the…

Q: Solve the following initial value problems using Laplace transform and plase your solution using the…

A: 1)

Q: 2. (x+2y-1)dx - (2x + y - 5)dy = 0

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Q: = Find the angle between A (3,-2, 3) and B = (1, -3, -3).

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Q: Use both the washer method and the shell method to find the volume of the solid that is generated…

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Q: Evaluate the following limit using L'Hospital's rule. lim (e5z - 2.x) (+) I+0+

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Q: A region bounded by f(x) = -x + 4, y = 0, and x = 0 is shown below. Find the volume of the solid…

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Q: Our goal is to approximate the positive real number x that satisfies sin(x) = x³. We will apply…

A: Our goal is to approximate the positive real number x that satisfies sinx=x3We will apply Newton's…

Q: 4. Determine whether each series is convergent or divergent. If it is convergent, find its sum. 2) Σ…

A: The given series, a) ∑n=1∞3n-12n+1b) ∑n=1∞sin1nc) ∑n=0∞2n+15n

Q: Where does f(x)=- have a critical point, which is not an extremum? O O O x = -1 x=0 x = √√3 x = 1 x³…

A: From the above function , we get 3 critical points at X=0, -√3 and √3 and two point where function…

Q: Find the second derivative y=lnx + 3 sin(4x) d²y dx² of

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Q: Find the indefinite integral. (Use C for the constant of integration. Remember to use absolute…

A: The objective is to find the indefinite integral.

Q: Evaluate: L{cos8t} = Blank 1 Blank 1 Add your answer

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Q: Problem 12. Find the absolute maximum and absolute minimum values of the function over each of the…

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Q: Solve the following system of simultaneous using Cramer’s Rule 3x – 3y + z = 5 4x + y + 2z = 3 5x…

A: Given   System of equations 3x – 3y + z = 5 4x + y + 2z = 3 5x + 3y + 4z = 2

Q: The rate of change in the number of miles s of road cleared per hour by a snowplow is inversely…

A: The objective is to find s(h).

Q: Determine any planes that are parallel or identical. (Select all that apply.) P₁120x +90y + 120z =…

A: Condition of Two planes parallel:- Let plane1:- A1x+B1y+C1Z+D1=0Let Plane2:- A2x+B2y+C2Z+D2=0 For…

Q: Find an approximation of the area of the region R under the graph of the function f on the interval…

A: Given problem:- Find an approximation of the area of the region R under the graph of the function f…

Q: f(x) = − sin ( + 7) +2 == a. Determine the amplitude, period, phase shift and vertical shift of the…

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Q: Find the standard form of the equation of the ellipse and give the location of its foci. Ay 6 G Type…

A: Standard form of an ellipse : (x-h)2a2+(y-k)2b2=1 ; where , (h,k) is the center and a>b .

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

A: Given that the first equation is          x3=y-2-1=z+11  Its parametric form are:    x=3t , y=-t+2 ,…

Q: Find the curl of the vector field F. F(x, y, z) = (2y - z)i + e²j + xyzk

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Q: Let f(x) Then f'(x) = 3 sin x 6 sin x + 2 cos x m = The equation of the tangent line to y = = f(x)…

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Q: Use the Integral Test to determine the convergence or divergence of the following series, or state…

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Q: lim t→∞ - 4t9 t² - 9t + 5

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Q: The equation r(t) = (t + 7) i + (√3t) j+ (3t²) k is the position of a particle in space at time t.…

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Q: II YOLUMES OF REVOLUTION 1. Find the volume generated by revolving about x-1, the area bounded by y…

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Q: Suppose that f is a linear function with slope -2 and that f(1) = 6. Find the equation for f. (Use x…

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Q: Use the Integral Test to determine the convergence or divergence of the following series, or state…

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Q: Evaluate the following limit using L'Hospital's rule. lim 4x5 COS 848 3x5 +

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Q: Evaluate the geometric series or state that it diverges. Το 198 Σ k = 0 56 k Select the correct…

A: topic - geometric progreesion

Q: Use the Comparison Test to determine whether the series converges. Σ K = 1 1 5k5+6 The Comparison…

A: The given series is ∑k=1∞15k5+6

Q: 4 cos x -dx 1+ cos x

A: Our Aim is to evaluate the integral given below:-∫cos4 (x)1+cos (x) dx -(i)

Q: Find the indefinite integral. [Hint: Use some algebra first.] (Use C for the constant of…

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Q: -4 Challenge #3 y = 1·3x 16 Adjust the equation so the exponential function passes through the…

A: Topic- exponential function

Q: 1- Find the inverse of Laplace transform of log (²+12)

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Q: Differentiate parametrically to find X 1 t-1 y=t³+2 dy dx in terms of t:

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Q: So sin¹ (6x) cos (3x) dx

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Q: Determine the limit of the given sequence: sin (159) an = If the limit does not exist, enter Ø. If…

A: Use limit

Q: II) Given: • tan a = 2√6, a € [0, π] •cos 3 = 3 5' Find the numerical value of the following: and…

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Q: 12. Find the radius and interval of convergence of the power series ∞ n=1 (x-4)" √√3n

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Q: 2. Demonstrate that the double angle formula for sin2x is derived from the compound angle formula…

A: Double angle formula for sin2x is sin2x=2sinxcosx. and compound angle formula for sin(a+b) is…

Q: Consider the function below. f(x) = √64-x² What is the Domain? What is the Range? Enter your answer…

A: Domain of  64-x2 :We must have 64-x2≥0So,  Solution:  -8≤ x≤ 8  Interval Notation: -8, 8

Q: Find the integral. √(x + 1)e 6x² + 12 е 12x dx √(x + 1)e 6x² + 12x dx = [

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Q: It is a fact that the function  f(x) =  (9x2 − 2) (4x2 + 4)  has a limiting value. Use a table of…

A: We need to find limiting value.

Q: Rewrite the following as a sum of trigonometric functions with no powers greater than 1. cos² (2x) =…

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Q: Find the derivative of f(x, y) = e- x ln(y² + 1) at the point R(4,0) in the direction of w = (2, 1).

A: NOTE: Refresh your page if you can't see any equations. . the given vector is find the unit vector

Q: The graph represents the reciprocal function of f(x). What is the equation of f(x)? <-5-4 A f(x)=2x²…

A: Here we have to choose the correct option.

Q: یک 2. G(x) = L tanz et et +3 -dt

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