QUESTION 8 If you save $270 per quarter for retirement in an account that earns 8% interest per year, compounded quarterly, how much will you have after 38 years?

Q: Let f(x) be a function and let c E R. Which of the following is not represented by the derivative…

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Q: Check the function y=x²+1 whether have a symmetry about x or y axis

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Q: derivative of 4x³?

A: Find the derivative of 4x3                 Let        y= 4x3

Q: Finding an Indefinite Integral In Exercises 75-78, find the indefinite integral. 1 75. dx 7x-2

A: Here is the solution:

Q: Solve for the solution using variation of parameters: (D2-1)y= 2/(1+ex)

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Q: Find r'(t), r"(t), r'(t) ・r(t), and r(t) × r"(t). r(t) = 2t2i - 2tj + 2 13배 (a) r'(t) (b) r"(t) (c)…

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Q: 12. Prove that the intersection of any family of normal subgroups of a group (G, *) is again normal…

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Q: Find the maximum area of an isosceles triangle inscribed inside the ellipse x²y² 1, + = a² 62 with…

A: Given problem:- Find the maximum area of an isosceles triangle inscribed inside the ellipse x2/a2…

Q: 1. Let f(x,y) = 819.11 IIY x+y+1 Find:

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Q: (a) Estimate the area under the graph of f(x) = 3√√x from x = 0 to x = 4 using four approximating…

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Q: d Calculate[ri(t) r₂(t)] and[ri(t) x r₂(t)] first by differentiating dt the product directly and…

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Q: p(x), χ b on [a, b], which of the following is/are In f(x) continuous always true?

A: Given that q(x) is  continuous on [ a , b ]  which means f(x) is continuous on [ a , b ] .       as…

Q: A manufacturer has determined that the total cost C of operating a factory is C = 2x² + 60x + 200,…

A: Given problem:- A manufacturer has determined that the total cost C of operating a factory is   C =…

Q: I want all the laws of trigonometric functions and the laws of their integration

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Q: y" - y'-12y=6sin (2x)

A: Given problem:- Solve y'' -y' -12y= 6sin(2x)

Q: Find the Taylor series for  f(x)  centered at the given value of a. [Assume that f has a power…

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Q: Find all solutions of the equation in the interval [0, 21). csc 0 7 3 If there is more than one…

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Q: Solve the following application situations. 1) The marginal cost C'(x) of producing x widgets is…

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Q: A fungus starts off weighing 23.1 grams. Its mass increases by 1 percent every day, that is, each…

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Q: Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as…

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Q: A vector u has an initial point (1,2,3) and terminal point (6,9,1). Find a vector v that has the…

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Q: Find T(t) and N(t) at the given point. π r(t) = 4 cos(t)i + 4 sin(t)j + tk; t = 2 T (7) 2 ㅠ N(₁) = [

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Q: = fºx R/2 Given that evaluate - b² = g², use this result and the fact that 2 (6 cos(x) - 6x) dx. x…

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Q: r(t) = 8 cos(t)i + 8 sin(t)j + tk; T r(). 2 = = ㅠ 2

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Q: Find the length and width of a rectangle that has the given area and a minimum perimeter. Area: 34…

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Q: Find the curvature and the radius of curvature at the point t = 0. x = e cos(t), y=e¹ sin(t), z =…

A: Let's find.

Q: Let ƒ(x) = √x(2 − x)². Use the local linear approximation of f(x) at x 1 to estimate the value of…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: 518 SHOW ALL WORK Aau aາq JV Find the exponential function given by f(x) = Ca that models the data…

A: f(x)=Caxf(0)=Ca02=CC=2Thereforef(x)=2axf(1)=2a16=2aa=3Thereforef(x)=2×3xCheck for x=2 and…

Q: Activity 2.2 For the given function sketch the graph; determine if f is continuous at xo and…

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. 11 ["||ti + 1²i||dt = |

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Q: .3 t +y3

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Q: Write the first four terms of the sequence whose general term is given below. (-1)^ 4 +1

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Q: 10. SHOW ALL WORK Verify the following identity:1 (1 - csc²0) (1 + tan²0 ) = tan² an evels to sty…

A: Given;  (1-csc2(theta)) (1+tan2(theta)) =tan2(theta).

Q: (D² - 3D + 2)y = 2e¯* +8 Your answer

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Q: Differentiate using delta method y=6x2-24

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Q: Finding the Volume of a Solid In Exercises 23-25, use the disk method to find the volume of the…

A: We have to find the volume by disk method.

Q: The sequence given is defined using a recursion formula. Write the first four terms of the sequence.…

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Q: Direction: Find the integral of the following functions: 1. (5 cos x + 7 sin x) dx 2. f(3tan² x +…

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Q: Consider the following function. f(x) = (8 - x)(x + 1)² (a) Find the critical numbers of f. (Enter…

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Q: Sketch the region enclosed by the curves x = sin 3y and x = y, and compute its area as an integral.…

A: We have to find the area between the curves.

Q: 2 6 5 seco SSS p² sin p dp do de 000

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Q: Let f(x)=8+ √6x-3. Find f¹(z). f-¹(x) =

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Q: Find the nth Maclaurin polynomial for the function. f(x) = sin(x), n = 6 P6(x) =

A: nth Maclaurin polynomial for the function :       Pn(x) =  ∑i=0n fi(0)i!xi = f(0)+f'(0)x + f''(0)…

Q: Find the derivative for each function. ㄷ 7. y=x² +2 9. y=2x²-x+3 A. 6. y=3x²-6 8. y=x²-3x+2 10.…

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Q: y is independent of A. Given y e sin x. Evaluate at the point x = 0. answer. y = -x (cos(xx+b) d'y…

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. |ti + t²j||dt

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: (D² − 4)y = 8e²x – 12 -

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Q: Question 16 Given the function (6x + 9 f(x)= ₹

A: We have to find the value of function at given values.

Q: d d Calculate[ri(t) r2(t)] and [r₁(t) × r₂(t)] first by differentiating dt dt the product directly…

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