Find the work done by a force F = 8i (magnitude 8 N) in moving an object along the line from the origin to the point (2,2) (distance in meters).

Q: Find the area of the region bounded by y = 17/ (81 - x²) and y = 1.

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Q: Determine whether the following sequences converge or diverge. Answer "Converges" or "Diverges." nh…

A: Explanation of the answer is as follows

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Q: Consider the function (a) (b) (c) f(x, y) = x² + y² Verify that f(x, y) has a minimum at (0,0). Find…

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Q: Evaluate: S x (1 – x²) dx Here, we are given with an integral which needs to be evaluated from 0 to…

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Q: Find the values of a and b that make f continuous everywhere. f(x) = x² - 4 X-2 ax² - 6x + 3 4x = a…

A: Given that a function and function f(x) is continuous everywhere then we find the value of a and b ,…

Q: 15T Jasper was asked to evaluate the value of tan in his trigonometry class. His response was "1"…

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Q: Consider the following equations. f(y) = y(6 - y) g(y) = -y

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Q: Use the given graph of f(x) = √x to find a number 8 such that if |x - 4| < 8 then √x - 2 <0.4. 8: =…

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Q: Change from rectangular to spherical coordinates. (a) (9, 3√3, 6) (p, 0, 9) = ( (p, 0, 4) = ( ) (b)…

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Q: Given that y is a differentiable function of the variable x, find y' if 2x²y² - 3y³ = 1.

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Q: Consider the following vector function. r(t) = (6√√2t, et, e-6t) (a) Find the unit tangent and unit…

A: Given vector function is  r(t)= {6√2t,e6t,e-6t}  We have to find unit tangent and unit normal…

Q: Find the limits, if they exist, or type DNE for any which do not exist. 1) Along the x-axis: 2)…

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Q: Consider the points P(-1, 1, 0), Q(2, -1,2), and R(1, 1, 3). Show your work for the compu- tations…

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Q: Sketch a graph of J(x) where J(X, 10 -9 -8 -7 -6 -5 -4 -3 1 -2 -1 10+ 9 8 7 6 5 4 3 2 + -1 -3 -4 -5…

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Q: Plot the points whose polar coordinates are given below, then convert each point from polar to…

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Q: y = −x2 + 6 Make a table of values, and sketch the graph of the equation.

A: The equation is given by y = -x2+6 To determine: The table of values and the graph of the equation.

Q: -iangle RST, side r measures 88 mm; angle S is 37° and angle T is 107°; find side T. Draw the…

A: Given query is to find the Indicated side.

Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

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Q: A line is shown. 10 69 8 7 6 5 4 3 لبا 2 1 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 123 4 -5 567 -6 -8 96 -10 1…

A: The slope of a line is given by;  m = (y2-y1)(x2-x1)

Q: d [cos³ (x²)-csc(x²)] dx

A: We are required to find the value of ddxcos3x2-cscx2     The following formulas of derivatives has…

Q: each

A: We have to find its value according to the given information.

Q: how long will it take for the population to reach 140 grams

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Q: Find f(x) if f(x) = 7 +8 and f(1) = 4.

A: Given that f'(x)=7x4 -(i) and f(1)=4.Our Aim is to find the value of f(x)=?

Q: Find the solution of the following differential equations. Show your solutions. 1. 2. (x² + 2y²)dx -…

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Q: The following table gives the millions of metric tons of carbon dioxide emissions in a certain…

A: Given  for year 2010 , x = 0 Sum of X = 132Sum of Y = 6367.1Mean X = 11Mean Y = 530.5917

Q: The cost function for manufacturing electric drills is estimated to be: C(x): 4x². = - 6x + 784.…

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Q: Find the standard equation of the parabola which satisfies the given conditions. vertex (7,11),…

A: Given:- vertex7,11 and focus 16,11

Q: Let f(x) = 2x² + 9x +9 3x² + 20x + 25 This function has: 1) A y intercept at the point 2) x…

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Q: The function f(x) changes value when x changes from xo to xo + dx. f(x) = 2x³ - 2x, x = 1, dx = 0.1…

A: We need to find approximation.

Q: 7. Describe and sketch the surface in R³ represented by tion x + y = 2.

A: Given: x + y = 2

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Q: Let f be a one-to-one function. If the domain of f is the set of all real numbers and the range of f…

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Q: 4. Using the limit definition of the derivative, find the derivative of g(x) = √2x + 1.

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Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

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Q: The answer does not match the alternatives. Which would be? a) 3x-2t b) x²+3t² c) 4x-t d) 3x + t…

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Q: Explain why the function is discontinuous at the given number a. (Select all that apply.) x + 5 2x…

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Q: consider a function f, defined by f(x,y) = -y/√x2+y2   what is the behavior of f along the line…

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Q: If 0.6 J of work are needed to stretch a spring from 14 cm to 16 cm and 1 J are needed to stretch it…

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Q: sin ln x X dx = (

A: formula used is d dx(lnx)=1x∫sinxdx=-cosx+c

Q: How many different arrangements are there using all the letters in AQUARIUM? 10,080 40,320 20,160…

A: Solution ⇒    Given Word is  AQUARIUM    In this word total word is  =8    And repeated…

Q: 5 Find the lateral (side) surface area of the cone generated by revolving the line segment y = x,…

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Q: Evaluate the following li (a) lim 2+3+ (b) lim =-=- 13x 5 - 4x 13x 5 - 4x 11

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Q: Find all first and second partial derivatives of the following: a. z = 4x³ − 5xy² + 3y³ b. z = x²…

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Q: Let A be the set of face cards (Jack, Queen, King) and B be the set of all of the spades in a…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Find and classify all the critical points of the function f(x, y) = xye -x².

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Q: For any real number b > 1, and any real numbers x True False log, (x - y) = > 0 and y> 0, it must be…

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Q: If f(x)=x²-3x - 4, find f (2). O 14 02 O -6 O o

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Q: Find the value or values of c that satisfy the equation f(x)=3x³ +6x², [-2,1] 1(b)-1(a) b-a = f'(c)…

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Q: A nut wholesaler sells a mix of peanuts and cashews. He charges $2.80 per pound for peanuts and…

A: Peanut which cost $2.8 per pound and Cashew which cost $5.3 per pound are mixed together and sold…