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Q: Calculate the Taylor polynomials T2 and T3 centered at a = 0 for the function f(x) (Use symbolic…

A: To find the Taylor's polynomial.

Q: Use logarithmic differentiation to find the derivative of y with respect to the given independent…

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Q: and subs. a. Sx²(x³ +5)6 dx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: The following table shows the average returns for some of the largest mutual funds commonly found in…

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Q: -52 The region R in the first quadrant is bounded by the coordinate axes, the curve y = e x = 1. The…

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Q: If = -87, then find exact values for the following. If the trigonometric function is undefined for…

A: Theta=-8pi

Q: Find the directional derivative of f(x,y)=x2y3 + 2x4y at the point (-1, 3) in the direction Θ=pi/4.

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Q: In(x) x 2 dx

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Q: Hello i cant read your answer can you write it down

A: A sphere is a three dimensional shape in the coordinate space. The equation of a sphere which is…

Q: if x^2 + y^2 + z^2 = 9,  dx/dt = 5, dy/dt = 4, find dz/dt when (x,y,z) = (2,2,1)

A: If x2+y2+z2=9, dxdt=5, dydt=4. To find dzdt when x, y, z=2, 2, 1.

Q: The equation of motion of a particle is s = t³ - 3t, where s is in meters and t is in seconds.…

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Q: If in

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Q: Find the solution to the Bernoulli equation. xdy = ( + 7 - x) dx ○ y³ = 1+ Cx-³ Oy³ = 1+ Cx³ ○…

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Q: Consider the function f(x) = a. Find f1(x). b. Graph f and f x +9 2-7x together. df 1 c. Evaluate at…

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Q: 2) Evaluate using long division first to write f (x) as the sum of a polynomial and a proper…

A: According to question,Given Integral,∫x3+ 1x2 + 1 dx

Q: An automobile starts from rest and travels down a stra the starting position after ₺ seconds is…

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Q: Find an equation of the tangent line to the curve at the given point. 1 + sin(x) cos(x) (π, -1)

A: y=1+sinxcosxpoint is (π,-1)equation of tangent line is y=mx+cwhere m is slope=dydx

Q: Solve the following DE. ( Variable Separable )  1. y' = cos2x cosy

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Q: Use implicit differentiation to find dy dx 3 x3 - 21xy + y = 1 || dy dx

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Q: 7. For the following vector value function, (a) sketch the graph, and find the absolute 32 (0-1)…

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Q: What is the change in volume with respect to time at t = 4s? Given: dv/dt = 12t^5 cm^3/s

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Q: Find the equation of the quadratic function whose graph is a parabola containing the points (0,3),…

A: A parabola containing the points 0, 3, 4, 23, and -1, 8. We have to find the equation of the…

Q: If z = x² + xy, where x = uv² + w and y = u + ve", then: [80] u=2, v=-3, w=0

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Q: What is the change in surface area with respect to time at t = 4s? Given: dv/dt = 12t^5 cm^3/s

A: We have to find the change in surface area with respect to time at t=4s .

Q: Let f(x) = f'(x) = and - f"(x) = | 7x² 4-52 . Then 7x (5x-8) (-5r+4)2

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Q: formula that could represen

A: We will start by checking the options. The one option which satisfies all the conditions is the…

Q: let c1=(e^-4t,sin(t),3t^3) c2= (e^4t,cos(-5t),3t^3) d/dt[c1 dot c2]=? d/dt[c1 cross c2)=

A: Given :c1=(e-4t, sin(t), 3t3 )c2=(e4t, cos(-5t), 3t3)

Q: x y Suppose w==+ -, where y x = e¹, y = 2 + sin(3t), and z = 2 + cos(4t). Z A) Use the chain rule to…

A: given  w=xy+yzx=et  ,  y=2+sin(3t)  , z=2+cos(4t)by using chain rule…

Q: en a rectangular box. Lengths are in cm 2 x X X

A: Given query is to find rate of change of volume.

Q: Complete the parametric equations of the point (-6,-5,-1) and perpendicular to the plane 4x-2y+3z=7…

A: Given query is to find parametric equation.

Q: Consider the following trajectory of a moving object. Find the tangential and normal components of…

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Q: 16 .." f . f(4) = 21 . f(t) dt = 31 f(16) = 25 Evaluate: T Upload your handwritten work in the box…

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Q: Solve the equation cot² 0 - 3 csc 0 = 3 csc = 2 for all solutions , showing all steps in your…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: 3. Estimate the area of the finite region between f(x) = -x and g(x) = by summing the areas of n…

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Q: Find the Taylor polynomial T₂(x) and compute the error |f(x) - T₂(x)] for the given values of a and…

A: Solution is given below:

Q: Evaluate the limit: lim x-6 x² 2 13x + 42 x - 6

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Q: D Question 5 let g(x) = 1/(x³+x²)3 find g'(x) O(x³+x²)3 O (x³+x²)-3 O-3 (x³+x²)-4(3x²+2x)…

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Q: 2) Evaluate using long division first to write f (x) as the sum of a polynomial and a proper…

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Q: Find the derivative of y with respect to 6 y = 4x³ sin-1 (4x³) + √√1 − 16x² dy dx =

A: To find the derivative of the given function.

Q: Discuss the continuity and sketch the graph. 1. f(x) = 3x² + 2x + 1, x = -2 2. f(x) = x² - 4x+4 x-2…

A: We have to discuss the continuity and sketch the graph  (1) f(x) = 3x2 + 2x + 1, x = -2

Q: If f(x) = 3√x (x³ - 5√x+4), find f'(x). x ²7/31²- Find f'(3). X

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Q: a. f(x) = 15x²-3x-5 + c. f(x) = a. 1 x2 x³ + 2x² - 9x +5 X 4. Write the equation of the tangent line…

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Q: - 1²) and ngle of =i+j. +j+ k. - use 48. If u and v are the vector functions in Exercise 47, use…

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Q: The eccentricity of an ellipse is 0.5, and the length of the minor axis is equal to 20. Find the…

A: To find the distance between the foci of an ellipse.

Q: (b) cos³ (2t) sin¯4 (2t) dt

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Q: If g(8) = sin(), find g'(8) and g "(0). 8 g'(0) - (0),6

A: Given query is to find indicated derivative.

Q: eliminate the arbitrary constant y= x^2+C1e^2x+C2e^3x

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Q: 9. How should f(0,0) be defined so that f(x,y) - (x + y)² (X+s x² + y² is continuous at (0, 0)?

A: The given function is: fx,y=x+y2x2+y2 is continuous at 0,0 To define f0,0

Q: aw aw raw a dependency diagram, and write a chain rule formula for and , where w= g(q) and q = f(m,n…

A: This is a problem of partial differential equation. Please follow the procedure given below.

Q: Find +요. dy dx dy dx 4x =yfx =

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