Det er mine absolutely it each convergent, Conditionally convergent, you > k=1 the following is or divergent. Name all tests 'Cosku K of the use

Q: Find a vector with initial point (4, -4,0) and terminal point (7, -14, - 10). Then find a unit…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Evaluate the integral by making the given substitution. [sec (3x)tan (3x)da, u = 3x +C

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Q: Find the differential dy of the given function. (Use "dx" for dx.) 7 y = 6√x + 7 x dy = (3x72xx)dx…

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Q: 2. Compare the rates of growth of f(x) = x + sinx and g(x) = x as x approaches infinity. f(x) grows…

A: The given functions are fx=x+sinx and gx=x we have to compare the rate of growth as x approaches to…

Q: Set up the definite integral required to find the area of the region between the graph of y = 17 -…

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Q: Use the graph of f (x): = Enter the exact answer. 1/1/00 below to find a number & such that |ƒ (x) -…

A: The objective is to find the value of delta.

Q: 4. Which of the following is f(x) = x² the parent function for? a) f(x) = x³ + 2x²-x+ 13. b)…

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Q: TU 2. fz sin² x cos4 x dx J

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Q: Given: (x is number of items) Demand function: d(x) = 768.8 0.3x² Supply function: s(x) = 0.5x² -…

A: Given: (x is number of items) Demand function: d(x) = 768.8 - 0.3x² Supply function: s(x) = 0.5x²

Q: 6. What are the restrictions on the variable for a) x #8 b) x # 4 c) x # 2 d) None of the above 8 2x…

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Q: Find the second derivative of the vector-valued function r(t) = (4t+ 3 sin(t))i + (5t + 3 cos (t))…

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Q: 2 (2y² + 5xy 4 Ο α. χ' (y² + 2xy = y + 2) = C O b. x4 (y² O 2y + 4) dx + x (2x + 2y − 1) dy = 0 - -…

A: The given differential equation is; 2(2y2+5xy-2y+4)dx+x(2x+2y-1)dy=0.

Q: The function f is shown below. What is the value of answer in simplest form. -10-9-8 -7 -6 -5 -4 -3…

A: This question is related to definite integration, we will solve it using given information.

Q: Use calculus to find the open intervals on which the function f (x) = x +4√1 − x is increasing or…

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Q: 2 √9x²-16 x² dx

A: We will use substitute method to solve the integration

Q: Evaluate the following integral over the Region R." (Answer accurate to 2 decimal places). S S 4(x +…

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Q: (a) As an iterated integral, with limits of integration A = B = C = D= Suppose f(x, y, z) = E = F=…

A: Let's evaluate triple Integral.

Q: 1/5 a) S J1/10 10 Arc sin(5x) dx

A: Please see the below picture for detailed solution.

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Q: Using calculus, find the absolute maximum and absolute minimum of the function f(x) = 7x² − 14x + 4…

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Q: 10. Explain what it means if a. 6 = 0

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Q: 3) Find the equation of the curve whose arclength from the point (4, 1) to the point (9, -1) is…

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Q: Z = (a) What is the equation of the plane passing through the points (2, 0, 0), (0, 2, 0), and (0,…

A: We have to find the equation of plane passes through the points and volume

Q: Solve (2y² + 3xy - 2y + 6x) dx + x (x + 2y - 1) dy=0 a. x² (y² + xy b. y + 2x) = C y² (y² + xy + y +…

A: Please see the below picture for detailed solution.

Q: Let f be a continuous function such that -6 [', f(x) dx = 9. What is the value of -3 f(x) dx = -10…

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Q: Question 3 Evaluate the limit. Hint: Factor and enter decimal answer. x + 3 x-3 x² + 8x + 15 lim

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Q: Find the unit tangent vector to the curve defined by 7 r(t) = (5 cos(t), 5 sin(t), 2 sin² (t)) at t…

A: To find the unit tangent vector to the curve defined by r→t=5 cost, 5 sint, 2 sin2t

Q: If u = sin® 3 - x 2 find Ou Əx Ou and ह Hence show that 2 Ou 1 y x 3 –x dy Ou = 0

A: Given u=sin-13-xy2

Q: Find the volume of the region bounded by z = x²,0 ≤ x ≤ 5, and the planes y = 0, y = 2, and z = 0.…

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Q: The regions A, B, C, and D in the figure below are bounded by the graph of the function f and the…

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Q: Solve: xy + y + 4x³y¹ = 0 O 6ry³ + Cr³y³ = 1 O 15r y³ +Cr³y³ = 4 O9r³y³ + Cr³y³ = 5 O 2r³y³ + Cr³y³…

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Q: Evaluate the definite integral. 1³ sin (4t)dt

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Q: 3. a. f(-2)= b. f(1) = c. lim f(x) =

A: Note :- This is multiple sub parts questions and according to our company guideline we can do…

Q: 2.fe-2y dy

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Q: Pls answer fast 2+2

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Q: If {an} and {bn} are divergent, then {an bn} is divergent. Select one: O True O False

A: The objective of the question is determine the choosing the correct option.

Q: Evaluate the integral: Fa ○ x = 6 sin(0) ○ x = 36 tan(0) 28 x²√x² + 36 dx (A) Which trig…

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Q: Suppose f(x, y, z) = (a) As an iterated integral, 1 x² + y² + z² and W is the bottom half of a…

A: Triple integral

Q: Use reference angles to evaluate sec (11"). 3 Enter the exact answers. For the number 7, either…

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Q: Find the arc length (s) of the curve (t) 8 = r(t) = (5e³t, 4e³t, 2e³t) for 0 ≤ t ≤ ln(4)

A: The arc length s of a curve r→t = xt, yt, zt for a≤t≤b is given by s = ∫abx't2+y't2+z't2 dt

Q: 5. Which of the following functions grows the slowest as x goes to infinity?

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Q: Given f''(x) = 6x + 3 and f'(-1) = 6 and f(1) = 6. Find f'(x)= and find f(4) =

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Q: = Using calculus, find the absolute maximum and absolute minimum of the function f (x) [-3,2].…

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Q: Evaluate the limit of the given functions. 3x² - 17x+ 20 25x + 36 1. 2. lim x+44x² t³-1 1 lim t-1…

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Q: 9. Which of the following is f(x) = x³ the parent function for? a) f(x) = 8x³ - 13x + 11 b)…

A: 9. Which of the following is f(x)=x3 parent function for.

Q: 8. What is the domain and range of the following relation? y=x²-2x-3 y 5 8 X

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Q: Find the volume of the solid bounded by the elliptic paraboloid z = 1+ 2x² + 5y², the planes * = 5…

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Q: 5x9 8. What are the restrictions on the variable for · 2 x + 13x + 42 a) x # 6, x # 7 b) x −6, x‡ -7…

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Q: X A company manufactures mountain bikes. The research department produced the marginal cost function…

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Q: Use following se k Z K-I the integral test Series to decide converge

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