15. A cable that weighs 2 lb/ft is used to lift 800 lb of coal up a mine shaft 500 ft deep. Find the work done. Answer 650,000 ft-lb

Q: Let P(1,2,3). Q(1,-1,0) and R(2,4,7). Find i. the normal vector to the plane PQR. ii. the parametric…

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Q: Find the sum of the series below. Σ n=1 72n (2n-1)²(2n + 1)² The sum of the series is.

A: INTRODUCTION An infinite series is an expression that is made up of infinitely many terms or…

Q: Given y = 5e³ + sin(x), OOOO 2.667e³-cos(x) 15e³ + cos(x) 15e³ - sin(x) dy dx 5e³ + cos(x)

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Q: Find each function value and limit. Use - ∞ or ∞o where appropriate. 9x4 - 18x² 5 8x +4 f(x) = (A)…

A: Given query is to find the value of the function at indicated rand the limit.

Q: Example 1. Find the volume of the by revolving about the x-axis the region under the curve y = √x-1…

A: We need to find out the volume of revolution.

Q: Find the arc-length parameterization for r(t) = (cos, sin).

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Q: 1 (t² +3t+1)/2 19½/2 f) f(x) = -

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Q: Find the derivative of ƒ (x) = (x7 − 7x) (x² + 8x − 10). f'(x) =

A: Topic - Derivative of a function We are given that f(x) =(x7-7x)(x2+8x-10) we know…

Q: Find the differential of the function w = = x² sin(y¹z³) dw dx+ P dy+

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Q: Explain the process of chain rule.

A: Let we have f(x)= u(x).v(x)

Q: K 7 $ my instructor 4 FEB 6 An accessories company finds that the cost and revenue, in dollars, of…

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Q: Find the linearization of the function z = x√√y at the point (7, 25).

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Q: Find the linear approximation of the function below at the indicated point. f(x, y) = V 29x²4y² at…

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Q: 1. Let h(x): = 4x³ + 3x - 2. Use the Intermediate Value Theorem to show there exists x = 1 and x = 2…

A: Given query is to apply IVT.

Q: If f is a function that is continuous on the open interval (1, 4), then f is continuous at x = 3.…

A: Given: If f is a function that is continuous on the open interval (1,4), then f is continuous at…

Q: The displacement (in meters) of a particle moving in a straight line is given by the equation of…

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Q: Find the product and simplity it possil ((r-q)^(2))/(5r+5q)*(5r)/(r^(2)-rq)

A: let  D=(r-q)2(5r+5q)×5r(r2-rq)

Q: (A) Find the slope of the line that passes through the given points. (B) Find the point-slope form…

A: Given Points : 3, 1 and 8, 7

Q: Find f(g(x)) and g(f(x)) for the following functions: f(x) = 6x + 7 g(x) = x² + 3x + 8 f(g(x)): =…

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Q: Which of the following vectors is perpendicular to (2,−1, 3)? A. (1,-1,-1) B. (1,1,1) C. (-2,2,3) D.…

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Q: x3 x² + 1 dx

A: Given, ∫x3(1 + x2)dx

Q: The graph shows the height h (in ft) of a roller coaster t seconds after the ride starts. Height…

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Q: K Find and simplify the expression if f(x) = x² – 3. f(x + 1) f(x+1)= (Simplify your answer. Use…

A: Given query is to find the Indicated function value.

Q: 7. A force of 10 lb is required to hold a spring stretched 4 in. beyond its natural length. How much…

A: Given Force( F ) = 10 lb xinitial = 4 in xfinal = 6 in

Q: Solve for x using logs. Round your answer to four decimal places. X = Save for Later 10x+2 = 6e7-x

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Q: For the function, find the points on the graph at which the tangent line is horizontal. If none…

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Q: Find all points (x,y) on the graph of f(x) = 2x² - 5x with tangent lines parallel to the line…

A: Given: f(x)=2x2-5x with tangent line parallel to line y=7x+2

Q: e. Sketch the graph of the x+3 x²+2x-3 f(x)=2x-1 x+1 x-3 ,x < 2 ,2<x< , x ≥ 5

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Q: | dy F

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Q: Determine the values of a where the function ƒ (x) is not continuous. Label each discontinuity as…

A: To determine the values of x where the function fx is not continuous.  To label each discontinuity…

Q: _et f(x) = 2-x 3 (-(x-1)² if x1

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Q: O (A) f is continuous at x = 3 O (B) f is undefined at x = 3 The graph of f is shown above. Which of…

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Q: Find the limits in a) through c) below for the function f(x) = OA. a) Select the correct choice…

A: We have to find the limit

Q: Sketch a graph of the domain region for f(x, y) = ln(x + 2y² + 1) using the steps below as a guide.…

A: The domain of the function is shaded region

Q: dy dr = (x + y + 3)²

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Q: Evaluate the indefinite integral 5 dx x²√x²+36

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Q: Use the Chain Rule to find the indicated partial derivatives. Z x² + x²y₁ x = s + 2t - u, y = stu²;…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…

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Q: Consider the series. 1000+200+40+8+85+... Does the series converge or diverge?       The…

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Q: iv. lim f(x) = X-4

A: Given: limx→4f(x) Note:limx→a+f(x)=LMeans Every ε&gt;0   such that  f(x)-L&lt;ε   whenever…

Q: Show that the function lim f(x, y) = (x,y) → (0,0) y=x f(x, y) does not have a limit at (0,0) by…

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Q: f(-2+h)-f(-2) lim h→0 h where f(x) = 8x² + 6. t

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Q: 5. f Scot(x/3) sin²(x/3) -dx

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Q: Flores bought 5 pounds of chicken. He cooked 1 pound for dinner. What fraction did he cook? and what…

A: Given query is to find the fraction of chicken cooked and fraction left.

Q: Write the exponential function y = 400e-0.11t in the form y = Pat. (a) Once you have rewritten the…

A: given exponential function: y=400e-0.11t.........(1)

Q: Find the volume of the parallelepiped determined by the vectors a = , b = , and c = .

A: Given query is to find volume of the parallelepiped

Q: The differential equation −3xy² + 6xy + (−3x²y + 3x² + 1) = 0 dy dx Has solutions of form F(x, y) =…

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Q: How many years would it take your money to double: (a) At 10% interest compounded yearly.  years.…

A: NOTE: Refresh your page if you can't see any equations. . the compound interest formula is given by…

Q: 67 n+1 Does the series Σ converge or diverge? n=1

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Q: 37. g(x) = x² + 4x¹/2 x2

A: (37)  g(x)=x2+4x12x2dxndx=nxn-1