direction as the vector from the point ?=(0,3) to the point ?=(−2,−2)?

Q: dx The integral of the given function S is xVx2-9 a. -Arcsin+ C 3 3 b.- Arctan+ C 3 3 1 с. 3 -…

A: Given query is to find the integral.

Q: a) y=(x+2)/x^2 - 1) b) y= ((x^2 - 1)(x+2))/ x-3 find the x and y intercept, symmetry,…

A: Given :a) y=(x+2)(x2-1) b) y=(x2-1)(x+2)(x-3)To find : The x and y intercept, symmetry,…

Q: - ſ csc²e cot êī – 5 cot ê dê

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Q: 4. Find the solution to the equation below to the nearest degree. 3 sin? (x) – 2 = 0 55 -1 1 -55

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Q: F(x)=x+1/x Find the Point of inflection, All asymptotes and all local maximums and minimums?

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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 unit vector of n = (-4,-3) . 45 35 5 5 4 3 14 3\ 5'5, 45 35 5

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Q: Find a point P on the line and a vector v parallel to the line by inspection. Enter the vector i as…

A: Explanation of the answer is as follows

Q: Consider the function f(r) 10r 10 + 9x° 2x2 6. Enter an antiderivative of f(x). Do not enter +c as…

A: Solve for the antiderivative

Q: Solve the differential equation: dx+(x-y+2)^2dy=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.

Q: 1 Зех [e2n* + 23c] dx

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Q: f(x) = sin° (tan(5e2*))

A: We can find the derivative as below using chain rule.

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

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Q: 3. Which of the following is the solution to sin a +1 = 0? O x = 0 + 360k O x = 180 + 360k O x = 90…

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Q: Directions: In implicit differentiation, we differentiate each side of an equatiom wariables…

A: Topic:- function and it's Derivatives

Q: f(x) = / sinx cos x

A: The objective is to flnd the derivative and slmpify.

Q: Question 5 of 25 An airplane climbs at an angle of 24° at an average speed of 480 mph. How long will…

A: Let 'h' be the hypotenuse sin(24°)=3.1h 0.40674=3.1h ⇒ h=3.10.40674 h=7.62158

Q: - ydy (y + 1) - J y + 1

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Q: dy dx 1+8sin ?x 1 Given tan(3y)=3 tan x . Show clearly that

A: As we know that; The chain rule: fgx'=f'gx·g'x   The trigonometric identities; 1). tanx=sinxcosx 2).…

Q: Solve the differential equation. 4 + Vr du dr 5 + vu II

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: A rectangle is expanding such that its length is always 4 times its width. If the width is…

A: Let's find.

Q: Derive the derivative function for secx and express your answer in product form.

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Q: Determine if the given function is continuous on the given interval a. [2,5) , x <O f(x) = %3D 5x-8…

A: To determine whether the given function is continuous on the given interval.Interval=[2, 5)fx=1x,…

Q: y(x - 6y)dx - x(2x - 9y)dy = 0; when x=1, y=1 a. y?(2y-3x) = 3x2 O b. y?(2y+3x) = x² c. y2(3y-x) =…

A:

Q: Find sets of parametric equations and symmetric equations of the lihe that passes througn the given…

A: Here we have to find the sets of parametric equations and symmetric equations of the line that…

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: 10 Find the projection of u =-14 onto the -15 -4 -4 subspace W of R' spanned by -6 | and 6. 910 53…

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Q: 3. Which of the following is the solution to sin a +1 = 0? O x = 0 + 360k O x = 180 + 360k O x = 90…

A: Simplify the equation.

Q: ind a function F(x) satisfying the given conditions. . F'(x) = 2x ; F(1) = 2 2. F'(x) = 4x +1; F(2)…

A:

Q: If f (z, y) — е"у, then fr (1, In (3)) —??? (а) е (b) e³ (с) 1/3 (а) 3 (е) 3ln (3)

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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: Find the domain of this 2-variable function and sketch it (shade it in): f (x, y) = V1– x² – y2 y 1…

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Q: #4. Find the equations of the tangent lines to the relation 3y = x² - 4y when x 2.

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Q: 5.SUPPOSE tu at fex)= XJgcK)· If 903)=16 and g C3)=-5.what is f'(3)?

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Q: Find the solution of a given the BE + =

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Q: Find the limit of s(n) as n 00. 1 n(n + 1) s(n) 2

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Q: 10. complete and

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Q: 4. (a) Show that the line l given by l: 1= 2+3t, y=1+4t, z= 5+ 2t, te R, lies in the plane II given…

A: Given problem:- Show that the line  given by   l : x = 2 + 3t , y = 1 + 4t , z=5+2t ,t in R   lies…

Q: 2. Find the radius of convergence and interval of convergence of the series. (a) (-1)--1 (" – 5)*+1…

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Q: 1. Find the radius of convergence and interval of convergence of the series. (a) (-1)"(n+1)"a²" n=1

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Q: 1. State the equation(s) of all horizontal, vertical, and slant asymptotes (if any) for each of the…

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Q: Find the derivative using the definition 2х-3 y = 3x-2 What is the solution if the answer is: 2х-3…

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Q: 2Tx [e?n* + 23c] dx

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Q: Find the lengths of the sides of the triangle with the indicated vertices, and determine whether the…

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Q: (k +3)! kk Consider the series ak k=1 a) What is ak+1? ak-1= ak+12 b) What is ak ak-1/a = ak+1 c)…

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Q: (a) Differentiate f(x) = Vx+4 by using the first principle. (b) Differentiate the following…

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Q: 3. Find the domain and the range of the functions below. a) f (x) |x | b) g (x)

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Q: (х- 4y - 3) dx -(х-бу— 5) dy %3D о ans. (x - 2y - 1)? %3D с (х-Зу- 2)

A: