List the first 5 terms of the sequence. 32 + 3n3 22 1 (а) ап — 3n3 n2 + 3n3 4 (b) (-2)n+1 + 3n 3n3 n=1

Q: Determine the of : In (xy²) = x y dx

A: Derivative dydx of equation  lnxy2=xy

Q: From what I know when I was teaching high school students, they tend to use the so called "Two…

A: Let's find.

Q: dx 7. S; x³ Vx2-4

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Q: A. Given: lim f(x)=-9 lim g(x)= 2 2. lim[3h(x)–6] 4. lim[f(x)- g(x)+ h(x}] lim h(x)=4 x→8 x→8 x→8 1.…

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Q: Compute the following derivatives. Show in at least THREE steps how the chain rule or the outside-…

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Q: Determine if the given sequence converges or diverges. If it converges, what is its limit? 5+ 3n3…

A: As you have asked for the solution of questions a -c only. So I am solving those only. Thank you.…

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction I|v|| =…

A: The objective is to find the vector v.

Q: Given the graph of the function below. Find the limit of the function as x approaches 5. * (3, 4)…

A: From the given graph, we have to find the limit at x=5

Q: Let <0,4,27 < 3, 0 , 1) What is the having the same direction B- ZA + c ? unit vector as

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Q: (a) Graph the equations in the system. (b) Solve the system by using the substitution method. (x+3)°…

A: Using substitution method.

Q: Find T(t) and N(t) at the given point. r(t) = (t² – 8)i + tj; t= 8 %3D T(8) = | %3D N(8) =

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Q: Verify that the two planes are pārallel. -x + 6y + 2z = 7 x + 3y + z = 8 2. Find the normal vector,…

A: -x+6y+2z=7 ------(1) normal vector n1 for plane -x+6y+2z=7 n1=&lt;-1,6,2&gt;   or -1 i+6 j +2 k…

Q: Evaluate the definite integral. 7t ej+t O e? - 1 i - elj+ 7 2 O e? - 1 i+ 7 k - O eľ - 1 i - 7 1 k -…

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Q: Find the derivative of the function described. (Rx5) 1E 32 4. f (x) = (1+x² )*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: 2. Consider the graph of the function f(x) = va – 2 where x 2 2. 2.a. Identify whether the function…

A: We have to check continuity of the function

Q: 4x? ds where Cis the portion of the curve y y° 1 =- from Evaluate the line integral (1,1) to (2,4).

A: As per our guidelines we are supposed to answer only one question at a time. Kindly repost other…

Q: The population of a southem city follows the exponential law Use this information to answer parts a…

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Q: 4. y = Vesinx + 2

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Q: Given f''(x) = 9x – 5 and f'(– 3) 5 and f( – 3) = 4. %3D a? - 5æ - 121 Find f'(x) 2 and find f(3)

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Q: For the sequence defined by: a1 = 2 2 + 1 An %3D An+1 Find: a2 %3D a3 = %3D %3D esc ->

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Q: PidliLS aiiu I 3. Calculate Duf (0, –2,5) in the direction of v = -3i + 12j – 4k for the function f…

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Q: Use the Lagrange multipliers to find the maximum and minimum values of f(x, y) = 2x + y - 2z subject…

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Q: 15.lf f(x)=Vx f(x)-f(16) The lim x→16 x-16

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Q: Describe the graph of the equation. r = -9i+ tj + (r² – 1) k O It is a parabola in the x = -9 plane,…

A: Let's find.

Q: DERIVATIVE OF TRIGONOMETRIC AND INVERSE TRIGONOMETRIC FUNCTIONS. Find dy/dx, 1. y = sin (x? + 3x +…

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Q: Find the vector component of v = (4, – 1, 7) along b = (4, 4, -7) and the vector component of v…

A: Given,            V= &lt;4,-1,7&gt;            b =&lt; 4,4,-7 &gt;

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. CSc x…

A: Let's find.

Q: Find the arc length of the parametric curve. x = e', y= et, V2t; 0<t<8 z = L =

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Q: Evaluate the indefinite integral. dx 2 – 7x

A: Explanation of the answer is as follows

Q: Suppose a person travels at a rate of 2 ft/hr toward the foot of a street lamp pole 62 ft high. The…

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Q: Set up the form for the partial fraction decomposition. Do not solve for A, B, C, and so on. 9x+9…

A: First we factorise the denominator of the given function.Then form the partial fraction…

Q: Question For the function given below, which statements concerning Rolle's theorem are true? f(x) =…

A: f(x)=x3-16x+2    ;  [0,4]

Q: ||F(t) × r"(})| ||r(t)||° Use the formula k(t) = to find k(t). r(t) = 11 cos(t)i+11 sin(t)j + 6tk

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Q: 6. Change the order of integration and evaluate the integral y+1 у? dxdy -1 Vy+1

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Q: 7) Determine the particular solution to the differential equation y 3x-2 that passes through the…

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

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Q: Evaluate the indefinite integral. | x34 sin(x35) dx

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Q: The other type of question in chapter 7 is solving trigonometric equation. We will not be practicing…

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Q: 4. So -dy Vy+1

A: To evaluate: ∫01yy3+1dy Substitute y3=u2⇒13y-23dy=2u du⇒13u4dy=2udu⇒dy=6u5du. As y→0⇒u→0, y→1⇒u→1…

Q: Profit. Suppose the profit of a product is modelled by the function f(x) = 2x3 – 21x2 + 36x + 9 The…

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Q: 里() t² + 5 1 lim t一+05t2 +6'2t (?, ?)

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Q: Consider the following equation and point. f(x) = a (3, -1) x - 4 Find an equation of the tangent…

A: First we have to calculate slope of the given function to calculate equation of tangent

Q: 12. The next iterative value of the root of x² – 4 = 0 using secant method, if the initial guesses…

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Q: Integration by Substitution. The rate of growth of Grass carp, one of the most common type of fish,…

A: The given data is: ∫025x+10x2+4x+4dx

Q: - 2 Evaluatelim x- 8x2-7x-8 O 1/9 O 27 O NONE OF THESE 1/12

A: To evaluate: limx→8x3-2x2-7x-8

Q: The diagram at the right represents the height of a blimp flying over a football stadium. Find the…

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Q: 4. Use the given graph of a functionf to answer the following questions. y= f(x) a. State all the…

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Q: P(x,y) = 696 – 10(x - - 15(y – 1)2 where P(x,y) is the price of land at the point (x,y) in dollars…

A: I have used the rule and find the solution . Point (1/2, 1) at which price is highest.

Q: 3. RK 2 %3D Write the equation in polar form: x + y = 225

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