Use the differential for ex^(2)-y^2 to approximate the value of f(2.1,0.8). Your answer may have exponentials

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(t) = t -√√t,…

A: f(t)=t−t3,[−1,4]

Q: Find the sum of the series. 8!!! Σ 40n n=1 (2n-1)²(2n + 1)² The sum of the series is

A: A telescoping series is a series in which every element except for first and last term is cancelled.

Q: X 0 1 f(x) 3 2 f'(x) -2 -1 2 X g(x) g'(x) 2 1 2 0 1 2 1 3 5 3 -2 324 320 4 3 4 1 0 4 5 -1 0 4 اس 54…

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Q: State the Chain Rule, then Let C(x) = f(g(x)). Find C'(1) using the table ow all steps. x f(x) g(x)…

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: (c) lim x-3 1 x +3 + 3 x² + 3x, 3

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Q: 11. Identify the horizontal asymptote of * 3 f(x) = +2 x-2 Oy=1 Oy=2 y=3 Oy=-2 Identify the domain…

A: Horizontal asymptote:If  then the line y=L is the horizontal asymptote of the function f(x)

Q: (1) (2 cos y + 4x²)dx = xsin ydy

A: given differential equation

Q: Let f(x) = -x+7 and g(x) = x^2 -2 evaluate the expression f(g(1))

A: We have to find f(g(1)) for the given function. It is a example of composite function. We replace x…

Q: Question 3.33) A certain sports car is being tested for its performance. Putting the engine at…

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Q: Question 7 What is a function that could have 4e4 as its derivative? Question Help: Message…

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Q: Find for the following: (a) xy = cot(xy) dy dx (b) x²y = y

A: To find  for the following: (a) (b)

Q: 8 n=1 -1)" sin 4 | S

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Q: Find the following using the table below. x f(x) g(x) g'(x) 14 74 23 3 1 2 4 3 4 3 h' (2) if h(x) =…

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Q: An employee's monthly productivity M, in number of units produced, is found to be a function of the…

A: An employee's monthly productivity M, in number of units produced, is found to be  a function of…

Q: 1 V₁ V2 = 2(+/-+- (1 (v₁/v₂) = 2 sin = -2V²-V²_2₁ Z₁ cos 1 =2²₁√√√√²₁ X Z₁ + V/₂ √/1-(V₁/V₂)² V₂ V2…

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Q: Find the lines that are tangent to the curve y=2tan(pi*x/2) at x=1

A: The equation of tangent line passes through point  with slope

Q: The diagram below shows upper and lower sums for the function f(x)=√√x+1 using 4 subintervals. Use…

A: given function

Q: Use the Table of Integrals to evaluate the integral. e √e2x 1 dx =

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Q: Let s(t) = 6t³ + 9t². v(t) = t - Where does the velocity equal zero? [Hint: factor out the GCF.] and…

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Q: 1. Use Calculus to find the absolute extrema of f(x)=3x4-4x³ -36x² +28 on the interval [-3,4].

A: By using Calculus to find the absolute extrema of  on the interval .Note: Since the student has…

Q: 0 1 X g(x) g'(x) 2 1 3 When x = 7 then D 33 2 f(x) g(x) 25 -2 = 320 3 4 -1 0 -3 2

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Q: conditions

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. 4 f(x) = x +-…

A: Critical point of the function is the value of the function at which derivative of the function is…

Q: Evaluate the following integral using integration by parts. Se 10x cos x dx

A: I=∫e10xcos⁡xdx

Q: Simplify: x5/6y2/7x4/34/7 x2/3y1/7 Entry Tip: put the numerator and denominator in parenthesis. Also…

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Q: Find the absolute maximum and absolute minimum of the following function on the given interval. 1…

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Q: Determine the function f satisfying the given conditions. f ''' (x) = 12 f '' (0) = 1 f ' (0) = 2 f…

A: Given that Let

Q: (a) Find parametric equations for the line segment that joins the point P(2, 3, -3) to the point…

A: To find the parametric equations for the line segment that joins the point .Note: Since the student…

Q: Consider h(t)= 3t+2+4t² Determine the intervals on which h is decreasing. Oh is decreasing on: Oh is…

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Q: Find form. (x + y) dydx. Write your answer in exact từ da l 2 6 6

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Q: Sketch the region of integration, reverse the order of integration, and evaluate the integral. dy dx…

A: To find:-

Q: Let h(x) = 6x² +1+17x Determine the critical values of h. If multiple such values exist, enter the…

A: Given, .For find critical valuer put h'(x)=0.

Q: Evaluate the indefinite integral. +C 5- 4 sin x Cos x dx

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Q: Prob #5 A Solve for angles A, B, and C in the triangle listed below. 17.8F+ C 35.2f+ 27.3ft B

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Q: Given C = x³ – 6x² + 9x +4 13 a) Find C'(x) = Find any critical values of C'(x) b)x= Use interval…

A: Given,

Q: Give the partial fraction decomposition for the following function. 2 x²-2x-8 2 2 x-2x-8 ||

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Q: Evaluate the integral. Answer= +C -22e-30 e2x + 6e +5 12276 -da

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

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Q: The graph off consists of line segments, as shown in the figure. Evaluate the definite integral 11…

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Q: (a) Find the unit tangent vector on the curve r(t) = [cos (t),2t,3sin(4t)] when t = 0.

A: To find the unit tangent vector on the curve .Note: Since the student has posted multiple questions…

Q: Find the reduced echelon form of the matrix: M 1 2 3 1 4 1 2 19

A: The Matrix is given by :

Q: Find the differ y = √3 dy= = Evaluate dy fc x = 1, G y =

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Q: x 2) f(x) = x² +1

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Q: Ift B 9 ft 7.

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Q: Consider the following parametric curve. x = sin(t), y = cos²(t); (√2-1) Find an equation of the…

A: The slope of the tangent line to the parametric curve. If x = f(t), y = g(t)   a<= t <= b at…

Q: If the governing equation is do + 1 = g(t), what is the solution g 20 dť² when g(6)=0 and when g(t)…

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Q: Sketch the region in the plane consisting of points whose polar coordinates satisfy the given…

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Q: -3 3 -3 I У X

A: From the given graph The horizontal asymptote is The vertical asymptotes are and

Q: Find the maximum and minimum values of the function y = 8√√x² + 1 - x on the interval [0, 3]. (Round…

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