2x3 2x² + 3 3 Submit an exact answer using fractions if needed. Find the average value of f(x) Provide your answer below: The average value of f(x) is = -x+ 5 over the interval [-1,1].

Q: 3. Find the Taylor polynomial of degree 3 centered at x = 4 for the function defined by f(x)=√x.…

A: To find out the Taylor polynomial of degree 3 for the given function and also find out the value of…

Q: Screenshot (16 Find the solution of the given initial value problem in explicit form. 1 y' = (1 -…

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Q: 4 In the following differential equations, test for exactness and determine the solution of each: 1.…

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Q: 21. If u = - y+z a) 0 Z z+x x+y b) 1 ди then the value of x + y + z 2 is: c) u d) None 22. The…

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Q: You deposited $50 into a bank that offers 2.5% interest for 30 years. A: What is simple interest…

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Q: Evaluate 4 R³ TR³ O TR³ O TR² 2π 0 R p² sin odpdøde.

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Q: The eigenvalues of a square matrix A are the numbers À for which the matrix A-XI is regular.

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Q: 1. Solve the Question Integral Sub Parts 1 A-C [cos¯¹x{√√(1-x²)}]¯¹ sin 2x (1-x2) A.S. log 1+ IL B.…

A: Disclaimer: since you have asked multiple question , we will only first for you.if you wants to be…

Q: f(x) = 2x^3 − 3x^2 − 18x − 8 Factor f(x) into linear factors. Don’t forget to include the leading…

A: Please see the below picture for detailed solution.

Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

A: This question is related to definite integration, we will solve it using given information.

Q: Given: F(s) = (5s+6)/(s²+9). Evaluate: f(1)

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Q: A rock thrown vertically upward from the surface of the moon at a velocity of 40 m/sec reaches a…

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Q: f(2x. (2x + 6)5 dx 0 (2x+6)6+ C 2 H|M 3 12 (2x + 6)6 + C (2x + 6)6 + C (2x + 6)6 + C

A: A detailed solution is given below.

Q: f3ex dx

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Q: please write on the paper. I dont know how to write it. Thank you

A: Given function:- f(t) =(e2t -e-2t)2

Q: If u = X + y+z a) 0 y 2+x ди + then the value of x x+y x b) 1 c) u d) None ax +y + ay +2 ди əz IS:

A: Question - 21 Given, u=xy+z+yz+x+zx+y To find, x∂u∂x+y∂u∂y+z∂u∂z Formulas used:…

Q: The equation of the tangent plane to the parametric surface x = u, y = v², z = uv at the point where…

A: This question can be solved using the concept of finding the tangent plane when the parametric…

Q: 16 x0.67.dx

A: Formula  ∫xndx=xn+1n+1+c

Q: Evaluate O 10 • 4 5 9 2z plny Մ » 0 -T ye dædy dz.

A: To evaluate the integral.

Q: Evaluate 09 9121IN N OC 2 01 2 1 2 I -1²-2 dydx.

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

Q: If f(x) = 4 cos(2 ln(x)), find ƒ'(x). Find f'(5) rounded to 3 decimal places.

A: Given function f(x)=4cos(2ln(x))

Q: The triangle with side length a=6 cm and angles measures angle B= 45° and angle C= 120° is given.…

A: Given data:- Side length of the triangle, a=6 cm ∠B=45°∠C=120°

Q: (1 + y²) dx + (x²y + y) dy = 0.

A: The differential equation is given by 1+y2dx+x2y+ydy = 0                               ........1 To…

Q: The area of the region to the left of the parabola x=2y^2, to the right of the y-axis, and between…

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Q: A company manufactures mountain bikes. The research department produced the marginal cost function X…

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Q: Find x² - y²¹ lim (x,y) →(a,a) x² - y² O 2a O 2a² a² 00 DO

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Q: Use integration to find the area of the rose curve r = cos 20.

A: Area bounded by the polar curve Area=12∫ab r2 dθ

Q: Find the slope of the tangent line to the curve - x² – 3xy + 3y³ = at the point (1, − 3). - 91

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Q: At noon, ship A is 40 nautical miles due west of ship B. Ship A is sailing west at 15 knots and ship…

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Q: Evaluate the following integral. Sxe 13x dx Let u=x². Use the integration by parts formula to set up…

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Q: 1 3 The x value(s) of the points where the tangent lines to the curve ³-4x that have a slope equal…

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Q: Find the differential equation of the family of circles with centers on the line x – 2y = 3 and…

A: Given:  circles with centers on the line x – 2y = 3and passing through (3, 0).

Q: Use implicit differentiation to find y² + 8x³ = 6y − 9x² - dy dx dy dx

A: Given, y2+8x3=6y-9x2

Q: *find the decomposition of the partial fraction for the nonrepeating linear factors. 9. 10x + 47 x²…

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Q: ƒ cos(x³) x² dx. 1 ¹ cos4 + c 4 1 WIT 3 1 -| sin x³+ C 1 ·cosª + c 4 4 -3 sin x³+ C

A: Topic = Integration

Q: If the coordinates of the endpoints of a diameter of the circle are​ known, the equation of a circle…

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Q: I. Use the synthetic substitution to find P(x) for each function.mony on oigadi fuo bokww.revi 1.…

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Q: For each differential equation, indicate the order as a number. d'y dt4 Order is: d²y dt² Order is:…

A: Yo find the order of differential equations.

Q: 1. Calculate the following unknown quantities. (a) P= (kx 1000), r= 1.2%, t= Find S.

A: As per the rules we can answer only first question and rest can be reposted.

Q: Evaluate the surface integral s G(r) dA, G(r) = x+y+z, S: z=2x-y, 0 ≤ y ≤ 1, 0 ≤ x ≤ y

A: Given:    Gr=x+y+z,    S: z=2x-y       0≤y≤1, 0≤x≤y Substitute z=2x-y in Gr     Gr=x+y+2x-y…

Q: Solve the given differential equation. All solutions should be found. dy dx e5x+10y ot (1603) NOTE:…

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Q: Fill in the blank. (Enter your answer in terms of t.) 1 e-{2}- L²s² + n²π² 2_2

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Q: If a rock is dropped from a height of 237 ft, its poistion t seconds after it is dropped until it…

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Q: Use substitution method and find the indefinite integral Adx

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Q: Find an equation of the sphere with points P such that the distance from P to A(-2, 5, 2) is twice…

A: Let    P(x,y,z)  be the general point  A( -2, 5, 2)  and  B(6, 3, -3)PA=2PB Recall

Q: Find F'(x). F (x) = 48 [아 dt t I F(x) =

A: To find out F'(x).

Q: Find the divergence of F(x, y, z)= x î+y³ ₂² 7 +xz³ k. O1+3y²z²+3xz O1+3y²z²+3xz² 01+3y²₂² O 1

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Q: Find the derivative of the function at the given point in the direction of A. Options are: 1)…

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Q: Use the Pythagorean Theorem to find the length of the missing side of the right triangle. Then find…

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Q: Find the curl of the function G = (xcosy)i + xy² j. (y² + xsiny) k ○ (y² + xsiny) î ○ (y² - xsiny) î…

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