-Arctan + dx The integral of the given function S (x²+4)2 is Arctan + C 8(x²+4) 16 b. - Arctan- + а. + C 8(x²+4) 16 с. 16 2 Arctan + C 8(x²+4) Nona ef the ahoua

Q: nswer the following Truê ôr False! f(r) is an antiderivative of v(E), then f(x) + 8 is an…

A: We have to check the following

Q: 3x+4x-2x+8 a) h(x)= b) g(x)= 5x" – 3x + 12x² +1 x*-16 HA HA VA VA SA SA 2x +7x-11 2-9 2x'-x + x-1 c)…

A: We have to use properties of asymptote to solve the problem

Q: 8 Consider the function f(x) - 7. Let F(a) be the antiderivative of f(x) with F(1) = 0. Then F(r)

A: Find the integration and the put x= 1

Q: 2. A= B = 23 DA+B @ Ao+B

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Q: Find the interval of convergence. 00 (x + 6)" Σ (n In(n))² n=2 (Use symbolic notation and fractions…

A: The given series is: ∑n=2∞(x+6)n(n(ln(n))2 Let, an=(x+6)n(n(ln(n))2, n>1

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Q: 3. Determine the values of a, b, and c such that the function f(x)=x+ax + bx+c has a y-intercept of…

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Q: lim f(x) = c lim f(x) = 00 lim f(x) = 0+ lim f(x) = 0- x-1+ X-1- f(0) = 0,f(-1) = -f(-2) = -

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Q: e3x _e-3x Y = e3x +e-3x]

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Q: Learning Task 2: Expand each function (using the appropriate technique/ formula). Compute the…

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A: Parametric equation of a Line has of the form    x = x1+at  ; y=y1+bt ; z=z1+ct ; where ,…

Q: The integral of the given function ſ cos 3ydy is a. sin 3y +sin³3y + . sin³3y – sin³3y +sin53y + C…

A: Topic :- application of integration

Q: Question 13 4x-7x+31x-38 (x+4)(x+2) fraction? dx is equivalent to which of the following integrals…

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Q: Find the Cartesian equation of the parametric equations x = a cost y = b sint 0<t< and identify its…

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Q: Find the point of intersection of the line through (1, -3, 1) and (3, -12, 6), and the plane given…

A: Given

Q: Determine whether u and v are orthogonal, parallel, or neither. u = (cos(0), sin(0), –8) v =…

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Q: Consider the function f (x) = (1)/(x^2 −1)  a. Find the intervals f is increasing. b. Find the…

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Q: Example 2 Compute (a) (1+i)/(3-i) and (b) (1+i)4.

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Q: Let f be a continuous function such that f (x) dx = -4 and 1 f(x) dx = –14. What is the value of 2…

A: As we know that;  The properties of the definite integral; 1). ∫abfxdx=-∫bafxdx…

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Q: What is the reference angle of O if 0= -137°? A 43° B 47° C 137° D 223°

A: Given query is to find references angle.

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A: After solving the problem, we get only one equation. But, there is three variables. So, we have to…

Q: coordinates

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: Si x³VI+x* dx? After substitution is performed, what is equivalent to 82 4 vũ du 82 Vũ du 82 Vu du 4…

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Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

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Q: Calculus Question

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Q: Find minima, makima and Snddle paint for the functionss 4x-6xy+ 5y-20 x +26y +34 f (X,y) 6x²-2x 2 2…

A: To find the maxima, minima, and saddle point for the given functions.

Q: earning Task 1: Determine the derivative of the following. x*y + 2y3 = 3x + 2y %3D

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (8, 5)…

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Q: Find the general solution of the differential equation y" + 3y' – 18y = -66t + 36t?. NOTE: Use t as…

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Q: What is the value of x in the diagram below? Round your answer to the nearest hundredth. Show all…

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Q: . a. Approximate y = e# using the Taylor polynomial P3 (æ) of y = e at 0. а.

A: taylor polynimial formula and steps I given below.

Q: Find an equation of the plane with the given characteristics. The plane passes through the point (2,…

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Q: Solve AABC subject to the given conditions, if possible. Round the lengths of the sides and measures…

A: b=144.9c=123A=114.6°Law of cosine;a2=b2+c2-2bc cosA…

Q: 4. Consider the integral (a) Draw the region of integration. (b) By reversing the order of…

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Q: 12x3 00 Find the power series for f(x) = in the form > an. (1 – x+)² n=1 Hint: First, find the power…

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Q: Given u(t) = (e',e-t). a) Find: (i) u'(t) (ii) u"(t) b) Find the unit tangent

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Q: Find minima, bmakima and Sndtle points for the funetions fxy)=4x xy+ 5y - 2. x +2by 6x2-2x3+3y+6xy 2…

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Q: x² – 4x – 5 lim z-5 x2 – 25 lim (3x² – ) x-2 5x + 2

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Q: Hwes You are to construct an ofen rectangulaK box from 2 t? of material what dimensionswi4 resultin…

A: g

Q: complete and detailed using techniques of variation

A: Given,            ∫dy1+y+13

Q: I FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLI 3x 1. Y= Arctan

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: Learning Task 1: For the given functions f(x) and g(x), find ( ° g)(x) 1. f(x) = x² and g(x) = x + 5…

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Q: 8)Suppose the total cost of a certain product is C(x) = 0.001 x2+ 5x + 300. The product can be sold…

A: Find your answer below

Q: (2x-4y)dydx 3.

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Q: 4 f (x) = x + 2

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

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Q: Determine whether u and v are orthogonal, parallel, or neither. u = (cos(8), sin(0), 7) v = (sin(0),…

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Q: 2x + 5x 1. Ar + Ba + Cz² + D¤ Consider the function f(x) = An antiderivative of f(x) is F(z) where A…

A: Answer is solved in step 2 using integration.