lim x → ∞0 5x²-x + 1 2x² + 5x - 4

Q: Finding an Indefinite Integral In Exercises 55-66, find the indefinite integral. 58. far² √²…

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Q: 1. Find the area between the curve y=x²+2 and the x-axis, between x=1 to x=3

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Q: Jc = − xj; P(−2, −4), Q(-2,-2)

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Q: 3. Write down the name of the conic given by the polar curve r = 6/(2-sine). Determine the vertices…

A: Given problem:- 3Write down the name of the conic given by the polar curve r = 6/(2-sin(θ))…

Q: Find all solutions to the equation. sec²x + tan x = 1 Write your answer in radians in terms of , and…

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Q: If a rock is thrown upward on Mars with velocity 10 m/s, its height (in meters) after t seconds is…

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Q: Find a set of parametric equations for the tangent line to the graph at t = to. (Enter your answers…

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Q: Using the Mean Value Theorem In Exercises 13-18, determine whether the Mean Value Theorem can be…

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Q: Ily approximate the differential dy when x changes from 64 to 64,07 Y

A: Since the student has posted multiple questions and mention to solve question numbers 1 and 2. But…

Q: Find the area of the part of the circle r = 5 sin 0 + cos in the fourth quadrant. Answer:

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Q: d. (4230°)-(222259) (2/140°) (3/300°) (Express your answer in polar form)

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Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

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Q: F. dr if Using any method, find the value of So F(x, y) = (6e + 3ye") i + (3eª + 6xe²) j and πt C:…

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Q: Find T(t) and N(t) at the given point. (7) = N() = = T r(t) = 11 cos(t)i + 11 sin(t)j + tk; t = K|2

A: Given,…

Q: Evaluate the line integralſ (x+2y) dx + x² dy, where C consists of line segment from (0, 0) to (2,…

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Q: Consider the following function. f(x) = 4x2/3 Find f(-8) and f(8). f(-8) = f(8) = Find all values c…

A: Here, the given function is: f(x)=4-x23

Q: differentiate using delta method y= x2-6x+8

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Q: Question 7 Given the function f(x) = 8 +5x², calculate the following values: f(a)= f(a+h)- =…

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Q: Question 1 (a) (b) Find the residue of f(z) Find the residue of f (z): = = sin z at z = π. 2²-3z…

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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: Compute the 10th derivative of ¹ (²7²) f(x) = arctan

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

A: Here is the solution:

Q: 2 QX = X² x + 2

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Q: 12. y' = x² - 2xy + y²

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Q: Solve the following initial value problem: y′′+6y′+18y=0y″+6y′+18y=0 when y(0) is 5 and y’(0) is…

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Q: Find the indefinite integral. (Use c for the constant of integration.) [ (41²³1 (4t³i + 14tj - 6√tk)…

A: Given that we need to solve the indefinite integral with using integral constant C.

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

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

Q: 15. Sketch y = f(x). Properties are: Max at P(2, 2) Mins at Q(4, -1), R(-1,2). Oblique asymptote y =…

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Q: Find the work done by the force field F(x, y, z) = (x − y², y - z², z - x²) on a particle that moves…

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Q: f(x) = ((3x + 7) if x ≤ 4 ax-1 if x > 4

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Q: Express the limit as a definite integral on the given interval. n lim [7(x)³ - 5x;*]4x, [2,7] n→∞ =…

A: Here, the limit of the integral is [2, 7]. Further, ∆x is replaced by dx and replace xi* by x. Thus,…

Q: Evaluate the definite integral. NOTE: Enter the exact answer. 12 5.² 11 |ti + t²j||dt 0 = =

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Q: Find the indefinite integral. (Use c for the constant of integration.) [(48³1 + (4t³i + 14tj -…

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Q: .3 t +y3

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

A: Given: Graph:

Q: Consider the following function. 13 f(x) = - In x 13 (a) Find the critical numbers of f. (Enter your…

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Q: Find r'(t), r"(t), r'(t) ・r"(t), and r'(t) × r"(t). r(t) = 2t2i - 2tj + 0 18k (a) r'(t) (b) r"(t)…

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Q: Homework: Module 3 HW 16.4 Apply Green's Theorem to evaluate the integral. $(8y +x)dx + (y + 7x)dy…

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Q: Consider the region R from the figure shown ,it includes the curves: R B) -√2 The double integrals…

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Q: Let f(x)=(x-3)-2. Find all values of c in (2, 5) such that f(5) f(2)= f'(c)(5-2). (Enter your…

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Q: 1. Use operator / elimination method to solve the given system dx dy + 2x + 2y+ 1 dt dt dx dy +2: dt…

A: Elimination method : In the elimination method, by using fundamental arithmetic procedures, we can…

Q: Determine whether the series is convergent or divergent. If the series is convergent determine the…

A: We apply ratio test to show the series is convergent and then find its sum. Follow 2nd step.

Q: Evaluate the following indefinite anti-differentiation   ∫ 5xdx

A: ∫5xdx=5∫xdx=5×x22+C=5x22+C

Q: alyze and sketch a graph of the function. Label any intercepts, relative extrema, y = x² - 8x + 37…

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Q: 2 luate / sin³ (3) cos¹ (3) dr. COS 1. Evaluate

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Q: Determine the sum of the following series. 31 10 Σ(1)

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Q: HOW ALL WORK pand the logarithmic expression using the properties of logarithms: In xy

A: Topic :- algebra

Q: 1. Find f(x) if f'(x)=12x¹+3√x+7-2e -4 and f(1) = 4

A: Given f'x=12x3+3x+7x-2ex-4  and f1=4 To find f(x):

Q: Monique sells disposable protective face masks made of local textiles for P 12.00 each. Define a…

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Q: Susan invested $2,500.00 per year in an IRA each year for 10 years. The interest rate was 7%…

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