Find the equation of the line tangent to the graph of f(x)=(lnx)5 at x=2. Answer in slope intercept form y=

Q: Section 2: Find sin and cos 0 if the terminal ray of angle 0 passes through the given point. 7.) (3,…

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

Q: reference and terminal point of 13pi/4

A: reference angle - angle between terminal arm and x axis let θ = 13π4

Q: (a) Show that if a varies, then the polar equation raseco (π/2<0</2) describes a family of lines…

A: Let's solve polar equation describes a family of lines perpendicular or parallel to the polar axis.

Q: Let z(x, y) Calculate дz მs дz 2t = дz მs & 7х2 + y² where x = s + 8t & y = дz St by first finding…

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Q: The graph of y = f(x) is shown below. -2 6 Find f f(x)dx. -4 02 y 4 2 -2 -4 0 2 f(x) 4 6 x

A: Given query is to find the value of the integral.

Q: (b) (2,2√3) (i) Find polar coordinates (r, 0) of the point, where r> 0 and 0 ≤ 0 < 2π. (r, 0) = (ii)…

A: Topic = Geometry

Q: A company wants to use data thas collected to predict customer satisfaction (as a percentage) based…

A: Please see the below answer.

Q: 2 3 Perform a first derivative test on the function f(x) = x (x-2); [-2,2]. a. Locate the critical…

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Q: 10 -8 -6-4-2 Clear All Draw: 5 4- 1 2 -2 -4 -6- -8- -10- 2 6 8 ]I ر ۸٢

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Q: have a horizontal tangent? X = help (numbers) f(x) = 10x² + 15x² 60x 60

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Q: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.…

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Q: Where is the focus of the curve: x^2=-12y

A: Focus of a curve  y=a(x-h)2+k is given by  (h,k+p)where p=14a

Q: Let f(x, y) = 5x² + 3x + 7y + 4y² + 3xy. List the critical point: The critical point is a Select an…

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Q: For the given cost function C(x) = 78400 + 700x + x², First, find the average cost function. Use it…

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Q: Please show your answer to at least 4 decimal places. Suppose that f(x, y) xy. The directional…

A: The given function is:f(x,y)=xyDirection vector:u→=1, -3Point:P=(4, -6)

Q: Use a definite integral to find the area under the curve between the given x-values. 3 X f(x) = from…

A: To find the area under the curve.

Q: Use a definite integral to find the area under the curve between the given x-values. 3 f(x) = from x…

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Q: 6349 #3 p. 114) Let y = f (x) = 1/4 x^2 + 3/x. Find the increment ∆y and differential dy. Find the…

A: Here we have to find the dy.

Q: Find the general solution of the differential equation: dy 2ty + 4e-t². d.t What is the integrating…

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Q: CL-Math Average Rate of Change, Piece-wise defined functions How does the slope of the line for each…

A: I am attaching image so that you understand each and every step.

Q: 36. a) Find the length of the curve: y = 2 In (sin(x)); ≤ x ≤¶ b) Find the surface area of the curve…

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Q: Write out the first five terms of the sequence with, [(1 - 7)", determine whether the sequence…

A: To write out the first five terms of the sequence with 1-7n+7nn=1∞, to determine whether the…

Q: a. Use the Product Rule to find the derivative of the given function. b. Find the derivative by…

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Q: please use the method of variation of parameters to determine the particular solution y'"+30y"…

A: The given differential equation is:y'''+30y''-4000y=e-20x

Q: Using the transformation u = -x +y and v=x+y, set up the double integral needed to evaluate the…

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Q: 4. Find the intersecting point of the following lines in the three-dimensional space using…

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Q: (xy²dy) = (y³ – x³)dx, y(1) = 2

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Q: Name each quadrant described. 5.) a. sin > 0 and cos 0 0 and sin(90° + 0) >0

A: To determine the quadrant in which the given angles lie.

Q: Find the Taylor polynomials p3 and p4 centered at a=0 for f(x) = (1+x)-³. P3(x) =

A: we will find the required.

Q: Find the Jacobian J of the transformation T(u, v, w) = (-3u +5v-3w, 2u+4v+3w, 4u+v=4w) = (x, y, z).…

A: Given:- Tu,v,w=-3u+5v-3w,2u+4v+3w,4u+v-4w=x,y,z

Q: Sketch the solution to each system of nonlinear inequalities in the plane: 21 21 25. [x+2y² > 2 x² +…

A: 25)

Q: Find all numbers c that satisfy the conclusion of Rolle's Theorem for the following function and…

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Q: Compute the first six terms of the sequence {a} X a1 a2 a3 II = 11 a4 25 a6 II = = {n}. (Round your…

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Q: Given the graph of f(x), sketch an approximate graph of f'(x). 3) 66 +4 -2 AH ++ Af(x) HT

A: According to guidelines, we can solve only one question at a time. If you need help with other parts…

Q: Evaluate all first and second partial derivatives of the following function. on() fxx fx 6 arcta =…

A: we will find the required.

Q: Set up a triple integral in spherical coordinates that would determine the exact volume outside the…

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Q: If the population of squirrels on campus t years after the beginning of 1855 is given by the…

A: Givens(t)=40001+21e-0.95t   We need to find t when s(t)=3600

Q: Find df (5x + 2y)dA where R is the parallelogram with vertices (0,0), (-4,4), (3,2), and (-1,6). R…

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Q: Find the general solution to the homogeneous differential equation d² y dt² The solution has the…

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Q: Which of the following functions (there may be more than one) are particular solutions to the…

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Q: Write the capital letter E if the differential equation is exact and if NOT exact solve for the…

A: Write the capital letter E if the differential equation is exact and if NOT exact solve for the…

Q: Find the arc length of the curve y = (e" + e¯") from x = 0 to x = 2. 2 Length: ►

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Q: Simplify the expression: 7 x-1 X x-1 + 3 x+1 1 x+1

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Q: Given four points A(-6,-5), B(4,b), D(5,5) and E(3,7). The straight line AE cuts the y-axis at C and…

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Q: Convert the point (x, y, z) = (2, 4, 1) to spherical coordinates. Give answers as positive values,…

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Q: You are testing the claim that the proportion of men who own cats is smaller than the proportion of…

A: Total people= 100+60=160

Q: 1. Test the series for convergent or divergent. 8 √k 2k + 3 Σ(-1)*, k=1

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Q: The pressure P (in kilopascals), volume V (in liters), and temperature T (in kelvins) of a mole of…

A: To determine the rate at which volume is changing.

Q: Simplify the expression using only positive exponents: 24x7/2 25x 8x2/5 5

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Q: Determine the following limit, using ∞ or -∞o when appropriate, or state that it does not exist. lim…

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