II. HIGHER DERIVATIVES C. Find the third derivative of the given function/s. 3. y = x(2x + 1)? 4. y = (2x – 1)(x + 2)2

Q: The set D = {x +4y - 22 0} is the domain of which of the following functions? In (2x? + 8y? - 3) 2. ...

A: We have to find domain

Q: -3 is The quadrant of cos 5 O Quadrant I O Quadrant II O Quadrant IV O Quadrant II

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Q: Use the function f(1) = a² – 4 to fill in the table: 2 f(z) 3 2.5 4.5 2.1 4.1 2.01 4.01 Based on ONL...

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Q: Find the length of the minor axis of the ellipse 16x? + 25y? = 400? 0 8 O 16 O 5 O 4

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Q: |x| for x 2 10. g(x) = %3D

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Q: 5. Where is the absolute value function f(x) = |x| differentiable?

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Q: 1 lim ty1 + t

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Q: Write a full solution  Let consider the following function: ?(?) = 2(? + 1)^2  −8.  A) Find the x-...

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Q: 2. (D³ + 3D² – 4)y = 0 -

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Q: Find the average value on the interval 3, 6 of the function whose graph appears below. average value...

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Q: 10. Let f(x, y) = x² + y³. Calculate the directional derivative of f in the direction of = (4, 3) at...

A: The given function is: f(x,y)=x2+y3Direction vector is:  v→=4, 3Given point:  P=(1, 2)

Q: OVIS lhigaimad goinisab A awordz n El 2nibs to s(t) milov ad sd osvig 2000 W x(t)

A:

Q: Evaluate the indefinite integral. xp: V1-12 2 rcsin 2( 1- (2(1) 12 arcsin 2 1- x 2 X+C Basic Funcs T...

A: Given query is to eveluate the integral. We will use substitution to eveluate.

Q: Which of the following is equal to cos x- sin' x ? 4 | O sin 2x O - sin 2x | O - cos 2x

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Q: ху'- у - 5х1 — Зх? + 2х %3D 0

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Q: Find the vertical and horizontal asymptotes of the function f (x) = , where q (x) = (Va+5)(12 –x)² a...

A: Given problem:- Find the vertical and horizontal asymptotes of the function f(x) =1/g(x) where g(x)=...

Q: b. e-Y sec² y dy = dx + xdy

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Q: 3. (D³ + 2D² + D + 2)y = 0

A: The given differential equation is; (D3+2D2+D+2)y=0  

Q: Approximate the integral using the indicated rule. 36 0 x2 dx; midpoint rule; n = 6

A: We have to find approximate value of integral.

Q: Use integration by parts to evaluate the integral. sin(In(5x))dx

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Q: sin x For what value(s) of a is the expression undefined? 1+ cos x O OT - 2

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Q: Calculate the area of one petal of r = sin 40

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Q: Find the point on the graph of f (x) = (9x + 8)/æ + 5x (x > 0) at which the tangent line is horizont...

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Q: 2. Consider the function h(x) = 11 - + x3 a) Find the equation of the tangent line to the graph of h...

A: We will find the equation of tangent line as shown below

Q: Find tan'e de cos*e 33. sin o 36. Cos

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Q: Find the standard form of the equation of the ellipse with the given characteristics and center at t...

A: topic - equation of ellipse

Q: Given the function f(x)=−2x^2 1) Find the difference quotient f(x+h)−f(x)/h 2) Find f'(x) by deter...

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Q: A particle moves along a straight line and has acceleration given by s"(t) = 5t. [ts initial velocit...

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Q: 2) The limit below represents the derivative of some function f(x) at some number a. limh→02(2+h)^6...

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Q: Write a full soultion  Let f(x) = 1− x/x+1 A) Find the inverse of the function f

A: Follow the steps discussed in solution.

Q: Find the volume of the wedge in the figure by integrating the area of vertical cross sections. Assum...

A: Solution: a=6, b=3, and c=4

Q: It is known that the population of a certain country at time t is proportional to the people living ...

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Q: esin² 3y? dy csc 6y

A: The Value of the given integral is esin²3y²/6

Q: 6. If f(x) = x³ - x, find and interpret f"(x)

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Q: Evaluate the indefinite integral (7t)cos(10t) dt %3D + C

A: 2 cos(A)sin(B) = sin(A+B) - sin(A-B)

Q: The graph below is the function f(x) 3- 2 5 4 -3 -2 Find lim f(x) = I -1- Find lim f(r) Find lim f(x...

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Q: Find the standard form of the equation of the parabola with the given characteristic(s) and vertex a...

A: We use the general equation of left opening parabola y2=-4Ax and solve it.

Q: Find the standard form of the equation of the parabola with the given characteristic(s) and vertex a...

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Q: -25 Evaluate the integral: dax x²Vx2 +25

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Q: Use integration by parts to evaluate the integral: $ds %3D

A: According to integration by parts:

Q: Find the horizontal asymptote(s) of the function p(z) f (x) Va(z) where p (x) = 3x? – æ – 2 and q (x...

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Q: Find the standard form of the equation of the hyperbola with the given characteristics. Vertices: (±...

A: We will find the equation of the hyperbola when vertices and asymptotes are given.Below find the det...

Q: B. Read and answer the problem carefully. 1. A spherical balloon is inflated with gas at the rate of...

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Q: Activity 2.Solve for the derivatives of the following functions. Write your answers on a separate sh...

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Q: Which trig substitution is correct for this integral? А. x = 8tan(0) B. x = 64tan(0) x = 64sec(0) D....

A: Follow the procedure given below.

Q: The center and radius of 4x2 +24x + 36 + 4y?-8y 100 is O Center: (3,-1); radius = 26 %3D O Center: (...

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Q: xdy − ydx = x^2dy, Solve for D

A: We can solve the DE as below

Q: 2. ху 4 a. when x=8 10 dx b. when x-1 dt dy dt -6

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Q: Determine the general solution of the given differential equation

A: Rewrite the equation in standard form. And solve it 

Q: Which integral would represent the area shown? AY 8 4 X 0.5 1 15 2 2.5 6 2xdx o (2r + 1) dx 6 (2x + ...

A: topic - application of integration