write the answer in 4 decimal places please

Q: Given f(x) = 4 7x+3 " find f' (3), using the limit definition of the derivative f'(a) = lim…

A: The given function fx=47x+3. We have to find the value of f'3, using the limit definition of the…

Q: Find the integral. Show work. fx¹nx dx 25 (51nx-1) + C 1 25 (lnx-1)+C Ox++0 x(51nx-1)+C

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Q: Find all the values of x such that the given series would converge. 3n (x¹)(n+1) (n+7) n=1 The…

A: Solve the following

Q: Please rewrite so I understand Please!! what is the solution?

A: Given,           ∫-45fxdx=9 and ∫-45gxdx=-1To find : ∫-45-3fx-2gxdx

Q: Evaluate the definite integral. [³ si sin(3t)dt

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Q: (sin20 - 2pcos)d0 = 2dp

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Q: Write out the first three terms and the last term. Then use the formula for the sum of the first n…

A: Here we have to find the first 3 terms and last term . Then by using the formula for the sum of…

Q: Sin" (sin (75)

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Q: ∞ 1 les Σ VR fo To test the series for convergence, you can use the P-test. (You could also use the…

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Q: 2. The function f(x) is defined by the table shown below: I-3-2 0 1 )=0 (b) f(0) = Fill in the…

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Q: Find the transformation that makes the ellipse: (x^2 / a^2) + (y^2 / b^2) = 1, into a unit circle…

A: Find the transformation that makes the ellipse: (x^2 / a^2) + (y^2 / b^2) = 1, into a unit circle.

Q: I The function y = Arctan(ax + b) has a point of inflection at 1,. Find a + b. 3 -|-| [none of the…

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

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Q: 2y 8. y' — ² = x²ex ; x = 1 when y = 0

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Q: Given the first order initial value problem, choose all correct answers dy 2x - 3y dx 4y + 3x ,…

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Q: The Mean Value Theorem states that if f is continuous on the closed interval [a, b] and…

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Q: 2. The function f(x) is defined by the table shown below: Fill in the blanks: (a) f( I f(x) _)=0 -3…

A: The function fx is defined by the table shown below x -3 -2 -1 0 1 2 fx 0 1 2 3 4 5 To…

Q: 1. (i) Obtain the differential equation in the form Mdx + Ndy = 0 for that has a solution of the…

A: We can find the differential equation of the given family of curves by eliminating the constant a .

Q: Find the extremum of​ f(x,y) subject to the given​ constraint, and state whether it is a maximum or…

A: To find the extremum of​ fx,  y subject to the given​constraint, and to state whether it is a…

Q: Find the interval of convergence for the given power series. n¹¹(x +11)" 11 35 n=1 (5") (n ³ The…

A: Let's find interval of convergence.

Q: Write the first five terms of the geometric sequence whose first term is 2, and whose common ratio…

A: Find the first five term

Q: A poster is to have an area of 150 in2 with 1-inch margins at the bottom and sides and a 2-inch…

A: Given Area ( A ) = 150 in2let height = l width = b so lb = 150 b = 150l

Q: A right conical tank with the point oriented down, a height of 17 feet, and a radius of 5 feet has…

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Q: Evaluate the integral (use exact values): sin³ x cos x dx

A: Given,            ∫π6π3sin3xcosxdx

Q: An isosceles triangle has an area 200 in ² and the angle between the two equal sides, is π/3. What…

A: Figure

Q: 9x 2 dx ,2

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Q: Suppose an architect is designing a pagoda that will sit on a 8 foot by 8 foot square base centered…

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Q: The position vector of a particle is (a) Find the length of the curve for 1≤t≤4 (b) Find parametric…

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Q: 11. (The law of cosines) (a) Two straight roads diverge at an angle of 0= 60°. Two cars leave the…

A: We can find how apart are the cars .

Q: We are interested in the first few Taylor Polynomials for the function f(x) = 4e + 3e X - centered…

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Q: Find the general indefinite integral. (Use C for the constant of integration.) (7 + tan² (0)) de

A: The given integral is 7+tan^2(theta).

Q: Consider an isosceles triangle of base 10 cm and side lengths x cm. Suppose x increases at the rate…

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Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A: Please see the below picture for detailed solution.

Q: The area of a square is increasing at a rate of 48 centimeters squared per second. Find the rate of…

A: The area of a square is increasing at a rate of 48 centimeters squared per second.

Q: Find the length of the curve. (2t+1)³/2 1² X = 2₁ Y = - 3 The length of the curve is 0≤t≤2 (Simplify…

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Q: Linear Differential Equations. Find the general solution. (2x+3)y'=y+√(2x+3)

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with so here we have

Q: Find the period, amplitude and phase shift of the function: J = - Sin (4x + 7) + 3

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Q: Question 4 The expression A B CSC X sec x sin² x + cos²x sin x is equivalent to C’sinxcotx…

A: Solution ) (sin2x + cos2x) / sin x  We know that  sin2x + cos2x = 1  = 1/sin x  We know  1/sin x =…

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 3 F(x) = [³² sin (t³) dt…

A: Find the derivatives

Q: 2. Estimate the area between ( the curve y = x² + 1 and the x-axis over the interval [0, 4]. Use a…

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Q: December 10, 2022 at 1:45 PM A formula for the relationship between weight and blood pressure in…

A: Given:- P(x) =13.7(6+ln(x))  P(x) is measured in millimeters of mercury and x is measured in pounds

Q: Find the points of inflection of the graph of the function. (If an answer does not exist, enter…

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Q: 18 12 [th* f(x)da – [." f(x)da - ["f 2 2 a where a = and b = f(x) dx

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Q: 1 x² - 4x +3 2 X Critical points at .x=0, x= 1, x=2, and x = 3 Critical points at x = 1, x=2, and x…

A: this is question of algebra  here we have to find the critical point of curve function  further…

Q: Consider the following parametric equations. a. Eliminate the parameter to obtain an equation in x…

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Q: Solve the following maximization problem graphically. Subject to: P(x, y) = 38x6y + 14 x + y ≤ 10 2x…

A: To solve the following maximization problem graphically.Px, y=38x-6y+14 subject to:…

Q: Find all points (x,y) on the graph of f(x) = 2x² - 5x with tangent lines parallel to the line y=11x…

A: We have to find all points x, y on the graph of fx=2x2-5x with tangent lines parallel to the line…

Q: 1) Choose two vectors a and b with all components nonzero. Determine the (approximate) angle between…

A: Topic = Vectors As per guidelines , At a time only one question can be answered. Please repost for…

Q: Find the order 3 Taylor polynomial T3(x) of the given function given. Use exact values. f(x) = ( −…

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Q: 1. Evaluate: tan 3(x+h) — tan(3x) h lim - h→0

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