Use the three facts to find ||ũ + v||. (1) ||u|| = 7, (2) |||| = 4, (3) u v=0 . ||ú + v|| =

Q: 0. 9. -1./1 (-x log(y)) dy dx

A: Solution: ∫-10∫16(-xlog(y))dydx Take the first integral part ∫16(-xlog(y))dy Take the constant out…

Q: 03 * Consider the line in R³ that has a vector equation as (x, y, z) = (9, -1, 3) + t(-5, -1, 1), t…

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Q: A. Does the sequence {a} converge or diverge? en-e-n (en+e-n) 1) an = 2) an = (√n² + n) - n

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Q: 8. Let f(x) = x + 5 and g(x) = x² + 9x + 20. a) Determine an algebraic and a graphical f(x) and…

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Q: 19. Let f(x) = x² − 9 and g(x) = 1. - a) Determine the domain and range of y = f(g(x)). b) Determine…

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Q: Solve the initial value problem. Chapter 6, Section 6.2, Go Tutorial Problem 12 Good. Find Y (s). Y…

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Q: Find the inverse Laplace transform of the given function. 4! F(s) (s-8)5 NOTE: Express your answer…

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Q: Calculate the integral, assuming that f f(x) dx = −5, f² f(x) dx = 3, f₁ f(x) dx = 11. (Give your…

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Q: 3x¹+6x² limx→0 4x4-12x² --/1/201 0 314 01 nonexistent

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Q: Let a = - 3j and b = 4ỉ + 3j + k. Find 2ā – 36. 36 = 2ā -

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Q: A rectangular field will be bounded by a wall on one side and by fencing on the other three sides.…

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Q: 2. Which of the following equations has the same solution as 4(x + 8) = 11(x+1) √√x-2--1 (x-8)=x-7…

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Q: 22.) lim x2 cos³ x 1-sin² x

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Q: Find the general antiderivative of f(x) = 21x + 15x2 and check the answer by differentiating.…

A: given  f(x)=21x+15x-2we know  ∫xndx=xn+1n+1+cdxndx=nxn-1d dx(constant)=0

Q: Find the limit || (Enter 'DNE' if the limit does not exist) lim (z,y) →(-35,5) xy cos(x + 7y)

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Q: The average price of a ticket to a baseball game can be approximated by p(x) = 0.03x² +0.57x +9.01,…

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Q: Solve 52*-4(5*) = 12,

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Q: Let f and g be functions that are differentiable for all real numbers, with g(x) ‡0 for x 0. f(x) If…

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Q: A particle moves along the x-axis such that its position at time t is given by x(t) = 2t4 - 6t for…

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Q: Find the point on the paraboloid z = 9x² + 4y2 at which the normal line is parallel to the line…

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Q: The function f(x) = 2x³ − 33x² + 60x + 9 has one local minimum and one local maximum. This function…

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Q: A2. The function g is defined by g(t) = 2t-1 4t+2* (a) What is the domain of g? (b) Prove that g is…

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Q: In this question, you may find the following useful. For a cone of radius r, height h and length of…

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Q: f(1) = 2; lim f(x) = 3; lim f(x) = 3 X→1+

A: Graph the function f(1)=2,limx→1-f(x)=3,limx→1+f(x)=3

Q: Find the derivative of the function and evaluate the derivative at the given x-value. ← 2 f(x) = 5x…

A: given  f(x)=5x2+x   at x=-4we know  dxndx=nxn-1d(constant)dx=0

Q: (a) Evaluate (i) lim x-2 the following limits: 2x² - 5x+2 x²-x-2 (

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: 14 Find p, q if f¹4 f(x) dx − f ƒ(x) dx = ſª f(x) dx. (Give your answers as whole or exact numbers.)…

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Q: Find an equation of the plane through (-7, 6, -2) that is perpendicular to the planes 5x - y + z = 3…

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Q: 03* How many critical points does the function g(x) = |1 - x² | have? 0 1 2 3

A: Critical points for the function are those points where the derivative of function is zero or fails…

Q: 1. The position function of an object moving horizontally along a straight line as a function of…

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Q: A person’s life expectancy can be modeled by the function g(x) = 10.761 ln(x + 1) + 27.98, where…

A: given  g(x)=10.761lnx+1+27.98given g(x) is expectancy of an aveage persons x years after 1910

Q: Physics shows that when an object is thrown upward with an initial velocity of vo, then its…

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Q: Find all values of m so that the function y = emx is a solution of the given differential equ y' +…

A: Topic:- application of derivatives

Q: False True 1. Given the equation f(x) = 3x² − 6x + 2, the vertex is a maximum located at (1, -1)

A: Given :fx=3x2-6x+2

Q: Find an equation of the plane that passes through the point P(−4, −8,7) and has the vector n = (-4,…

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Q: QUESTION 4 Approximate (1.005)√0.98 using total differential.

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Q: Set up and evaluate the integral for finding the area and moments about the x- and y-axes for the…

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Q: Find all real zeros (if any) and state the multiplicity of each. f(x)= 6x6+12x5-48x4

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Q: 6. Find the solution for first-order differential equations of ex=4². dx

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Q: The points A and B have the coordinates (-2, -4) and (-6, 8) respectively. Find the gradient of the…

A: Given :A = (-2, -4 )B= (-6, 8 )

Q: Calculate R3 and L3 for f(x) = x² - 6x + 6 over [1,4].

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Q: 1 (x - 1)√4x² − 8x +3 - dx

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Q: Find the inverse Laplace transform L{F(s)} of the given function. F(s) = 8 s²+4 Your answer should…

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Q: (0.5, 00) Let h be a continuous function for x > 0, with its first derivative given by h'(x) = -2x +…

A: Given, h'(x)=-2x+6x2+1x Find where h is concave up

Q: The radius of a sphere is decreasing at a rate of 2 centimeters per second.  At the instant when the…

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Q: 03* Which of the following is the direction vector from the point A(4, -3, 2, 1) point B(-7,2, -4,…

A: Direction vector from point A to point B is AB→

Q: ] 4. What value of x satisfies the following equation? 42-283x-6 (Only type your numerical answer in…

A: As per bartleby policy only one question is allowed to solve if multiple question is asked in single…

Q: Given that lim f(x) = -2 and lim g(x) = 2, find the following limit. X-2 7-f(x) x+ g(x) 7-f(x) x+…

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Q: If f(x) = 2 + Find f'(5). 68 + 2 find ƒ'(x). x²²

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Q: Find P when t = In 2. dp. Find t when = 4. dt Give your answer in exact form. Find

A: Topic:- calculus and integration