2 √9x²-16 x² dx

Q: Let à = (1, -2, 0) and 6 = (1, 3,2). b Find the angle between the vector (in radians) Check Answer

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Q: 2. Let f(x, y) = |x − 1| · yś. (a) Compute, if they exist, the partial derivatives få and fy at the…

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Q: 19. Suppose the rate of change of production of a regular worker at a factory is given by dp…

A: Given problem:- Suppose the rate of change of production of a regular worker at a factory is given…

Q: What is the perimeter of an equilateral triangle inscribed in a circle with a diameter of 20 cm?

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Q: Find two positive numbers with product 625 and whose sum is a minimum. Enter your answers in…

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Q: O Use 1st and 2nd derivatives, sketch the graph of given function 2x x² - 1 f(x) =

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Q: 1. Which of the following relations is a function? a) {(1,9), (2, 4), (2, 3), (4, 15)} {(2, 7), (7,…

A: Recall:  A function can be defined as a relation between "each of its inputs" to "exactly one…

Q: Let à = = (2, 4, 5) and 6 = (3, -5, - 2). - Find the angle between the vector (in radians) Check…

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Q: у=ех

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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: J 9(x, y, z) dV over solid B. B = {(x, y, z) | x² + y² ≤ 9², x ≥ 0, y ≥ 0,0 ≤ z ≤ 4} and g(x, y, z)…

A: Please see the below picture for detailed solution.

Q: Evaluate [(e²/² - x)(e²/² + x) dx. Show your work.

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Q: Q9. Find the value of the right side of Gauss divergence theorem for F = x²ī+ zī+ yz k over the cube…

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Q: Evaluate the definite integral (3625 - 24) dz using Part 1 of the Fundamental Theorem of Calculus.…

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

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Q: 4. 5⁰ -x² xe dx

A: Given Problem:- ∫0∞xe-x2dx

Q: · (b + c) = a · = a · b + a · e for all a, b, c € R³. . 7. Prove that a.

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Q: 7. Find the equation of a normal to y = x³ - 3x²+x-1 at x = 3

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Q: In this question, consider the vectors 10 8 V1 ~- - ( ) - ~- - ( ) - - - () ---- () v2 = V3 = b and…

A: The objective of the question is determine the coefficient matrix" A" without simplifying.

Q: The function f is shown below. What is the value of nswer in simplest form. -8 -3 N 3 H N W 4 in -5…

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Q: 2022" + n 2022 (d) lim sin 2022! + n!

A: Apply the limits to solve

Q: Find the equation of the line tangent to the graph of y = (x2 - x) ln (8x) at x = 2

A: Topic = Derivative

Q: Let r(t) = (-5t5 - 3, 4e-4t, 5 sin(2t)) - Find the unit tangent vector T (t) at the point t = 0.…

A: Given vector  r(t)→=<-5t5-3,4e-4t,-5sin(2t)>

Q: e) fx³ √2x² +1 dx wil(-) {. ub f CP

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

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Q: Find the area A of the shaded region of the cardioid r = 9 - 9 cos (0) . 3 -X The cardioid (Express…

A: This is application of integration problem

Q: b) 2 1/2 dx x(lnx)4

A: Topic:- integration

Q: Let v = 37 - 47 + 2k. Find ||||. Check Answer

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Q: (b) If z= 3x² + y² 4xy Hence, Show that find ôz dz dx dy Ox 3 3x a²z y a²z y ổr x ô and =0 8² z 2…

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Q: Sketch a graph of a continuous function f with the following properties: (i) f(x)=0 for x = 0 (ii)…

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Q: Suppose that a particle moves along a straight line with velocity v(t) = 10 - 5t, where 0 ≤ t ≤ 1.5…

A: The answer as follows:

Q: Je²² e² sin (e)dr

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Calculate the derivative using Part 2 of the Fundamental Theorem of Calculus. Enclose arguments of…

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Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

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

A: Please see the below picture for detailed solution.

Q: If C(x) = n=0 ∞ n=0 2n + 1 2n + 2 2n ²n and S(x) = ∞2n+2 2n + 3 n=0 -x²n+ find the power series of…

A: The given power series, Cx=∑n=0∞2n+12n+2x2n and Sx=∑n=0∞2n+22n+3x2n+1

Q: Find the domain of the vector function r(t) = Domain: {t |} ≤t≤

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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: a. Find the antiderivative of f(t) = 7x + 6x³ - 8x² - 6. Justify your response.

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Q: Vincent purchased a car using a 5-year car lease at 4.50% compounded quarterly that required her to…

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Q: Given x = y² + y + 1 from 0≤ y ≤2 1. The arc length of the given curve over the interval is 9. 7:38…

A: Given: x=y2+y+1 from 0≤y≤2To Find: To determine the arc length of the given curve over the given…

Q: Find fxy(x,y) if f(x,y) = (x² + y²) 7. fxy(x,y) = ...

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Q: 3 Suppose ff(x) dx = 4 and f g (x) dx = 3. f(x and 19 (a) da = 3 1 3 Evaluate f (3 f (x) – 4 g(x))…

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Q: d) Hence form a conjecture for the derivative of functions in the form y = (ax + b)². e) Prove your…

A: As you have mentioned I am answering Question (d) and Question (e)

Q: 5. Evaluate f(x) = 3x² - 3x + 1 for f(-1). a) 13 b) 7 c) 0 d) 4

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Q: Q3. Find the distance between the points AB and BC where A is (2,1,0), B is (-1,3,1) and C is (-1,…

A: The points A2,1,0, B-1,3,1 and C-1,0,1 we have to find the distance between the points AB and BC…

Q: For the function f(x)= −2sin(x−3π/2), determine its amplitude and period, and then graph it for two…

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Q: Find the following limit. lim

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Q: Calculate the determinant. jk 1 -1 9 4 0 71 기 -7i-34j+3k x

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Q: Find the area of region A in the figure if the equation of the boudary is r = 4 cos (0). r=1 A A = X…

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