Find the work done by the force F = xyi + (y-x)j over the straight line from (-2,3) to (

Q: Calculate the trapezoid approximation of ²√1+ï³ dæ using four subintervals. O T5 3.13 O T5 = 3.28 O…

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Q: - 2) Let F(x) = t¹/² = t³/² dt for x > 0. Determine the following: a) F(4) 3 b) F'(4) c) Intervals…

A: Let Fx=∫1xt12-13t32 dt  for x>0. To determine the following. (a) F4 (b) F'4 (c) Intervals where…

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A: a)  The left Reimann Sum (also known as the left endpoint approximation) uses the left endpoint of a…

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Q: Heron's Area Formula Let a, b, and c be sides of AABC. Let s equal the "semi-perimeter" of AABC…

A: Given the sides of the triangle  a = 225 ft  b = 900 ft  c = 850 ft

Q: the line with the equation -18x-6y=-12

A: The standard form of the equation of line in slope-intercept form is given by y=mx+b, where m is the…

Q: Find the lengths of the circular arc. (Assume r = 3 and 0 = 114º.) 123π 10 S 0

A: To find out the arc length shown in the picture.

Q: Consider the function () Find the value of A: A + 2x - 10. f(x) has a critical point at = A. At x =…

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Q: The following graph shows the average candy consumption of a town (in thousands of pounds per year)…

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Q: 2. Evaluate t¹ +81 t(t²+9)² dt. Show all steps of partial fraction decomposition.

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Q: Consider given function The Taylor series at xo = 0 are given as What are the "a" = f(x)=ex. f(x) =…

A: The coefficient a,b,c & d in the Taylor series expansion of  f(x) = e-x  at X0 = 0 are given

Q: 7. The integral in this exercise converges. Evaluate the integral without using tables. 12tan ¹w…

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Q: Write an equivalent integrat with the order of integration given. a) The parabolas x=x²-1 and…

A: (a).The given curves are:x=y2-1     and       x=2y2-2

Q: Flight of a Rocket The altitude in feet attained by a model rocket t seconds into flight is given by…

A: Given,          The altitude in feet attained by a model rocket t seconds into flight is given by…

Q: Determine the set of points at which the function is continuous. F(x, y) = D > > = {(x, y) | × [? ▼…

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Q: Convert the point (r, 0, z): (x, y, z) = (5, 7, -5) to Cartesian coordinates.

A: Given: r,θ,z=5,π4,-5 We are required to find: x,y,z

Q: The velocity of a particle moving along the x-axis is given by f(t) = 30 - 6t cm/sec. Use the graph…

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Q: Consider the function f(x) = 10√x+6 on the interval [2, 5]. Find the average or mean slope of the…

A: According to the mean value theorem  f( x ) in interval [ a , b ] f'( c ) = f( b ) - f( a )b - a…

Q: [t√√71² t√7t² + 8 dt

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Q: The power rule: 1x². NOTE: Enter the exact answer. 6 S[$ 1-30+ x" dx = 7 dy = r+1 + C, r = -1.

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Q: lim X→" > - X-T S

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Q: The circle (x − 6)² + (y – 5)² = 9 can be drawn with parametric equations. Assume the circle is…

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Q: Find the area of the surface. The part of the sphere x2 + y2 + z2 = 4z that lies inside the…

A: The given sphere: x2+y2+z2=4z and paraboloid z=x2+y2.The surface is the part of the sphere that lies…

Q: Find the area of the region that lies inside both curves. r = √3 cos(8), r = sin(8)

A: We need to evaluate the area of the region that lies inside both the curves :

Q: Find the exact value of the sum of the series n=0 (-1)" (2n + 1)3n+ /

A: I have appended the formula used in the solution procedure part of the question

Q: The graph below is the function f(x) Find lim I-1 5 4 03 -5 -4 3-2-1 Find lim I-1+ 01 -1 Find f(-1)…

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Q: Researchers have observed that the mass of a female (gilt) pig can be estimated by the function M(t)…

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Q: Given the points A(3, 4, 5) and B(9,- 2, 7), write a vector equation and the parametric equations of…

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Q: A cylinder is inscribed in a right circular cone of height 2.5 and radius (at the base) equal to 6.…

A: A cylinder is inscribed in a right circular cone of height 2.5 and radius (at the base) equal to 6.…

Q: Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round…

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Q: The area A of the region S that lies under the graph of the continuous function is the limit of the…

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Q: A police car is located 50 feet to the side of a straight road. A red car is driving along the road…

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Q: Find the area of the region bounded by the given curves. Enter an exact form, do not use decimal…

A: To find the area of the region bounded by the given curves, we need to set up the integral in polar…

Q: Match the equation with the surface it defines. Also, identify the surface by type (paraboloid,…

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Q: Use the explicit formula, b Š a 4 S (3x² - 2x+5) dx -2 n Σ f(a+k¹b-a)) (b=a] n f(x) dx = limfa+k-…

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Q: Find the most general antiderivative of the function: f(x)= 5x² - 4x² + 3x x²

A: Given: f(x)=5x3-4x2+3xx2 We are required to find: Most general antiderivative of f(x)

Q: Question 4 Approximate the zero of ƒ(x) = x³ − x + 1 in [-2, -1] to within 0.00001. Edit View Insert…

A: To find out the zero of the function in the given range.

Q: The graph of the function fis given below. Select the graph of f.

A: From the Graph  for (-∞,0) slope is decreasing linearly and have positive sign for (0 , ∞) slope is…

Q: (a) lim >L sin' (t) t-i

A: We have to use the concept of differentiation  and limits. According to our guidelines we are…

Q: 12+ 11 10 9+ 8 7- 16 5 4 3 2+ 1 3 Estimate, to 1 decimal place, the instantaneous rate of change at…

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Q: Evaluate the definite integral. Use a graphing utility to verify your result. TT/2 17/² (2-csc² x)…

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Q: Find the indefinite integral. (Use C for the constant of integration.) [ (14- ²3 5 cos t) dt sin (1)…

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Q: (a) Find a power series representation for the function f(x) = x cos(x³). (b) Evaluate e fac COS…

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Q: The cost of controlling emissions at a firm rises rapidly as the amount of emissions reduced…

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Q: The marginal revenue function has × measured in years and MR(x) in hundreds of dollars per year. Use…

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Q: Consider the function f(x) = 2x³ function on this interval. - The smaller one is and the larger one…

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Q: 4 7. Given the function f(x) = x + x a. Determine the intervals of increase and decrease. b.…

A: fx=x+4x

Q: Use the Lagrange multipliers to find the maximum and minimum values of f (x, y) = 2x + y − 2z…

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Q: 7. Use polar coordinates to evaluate: fe(x²-y²) dydx

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Q: Enclosing the Largest Area The owner of the Rancho Grande has 3,028 yd of fencing with which to…

A: Total fencing length = 3.028 yd Let shorter side = y  Let longer side = x  As we know that Area of…