Sketch the region enclosed by the given curves. Decide whether to integrate with respect to X or Y. Draw a typical approximating rectangle and label its height and width. Then find the area of the region.

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: Find the value of when f(x) = = if the limit exists. 1. limit = 4 2. limit = 2 3. limit = 1 4. limit…

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Q: 7, 8, 2, and 10 Set up, but do not evaluate, an integral representing the area of the region…

A: Topic = Area

Q: 2 v=S₁7(e²3²³ dx sori V=

A: Given integral ∫02π( ex )2dx

Q: The owner of a skating rink rents the rink for parties at $1200 if 60 or fewer skaters attend, so…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Evaluate. S −3 |x| dx The graph of y=-3x is shown here for your reference.

A: Concept ∫abf( x ) dx = Area under the curve from a to b

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

A: We have to find statement which give wrong answer.

Q: 7. Find the sum of the values of a and b such that f(x) = 2ax² + bx + 3 has a relative extremum at…

A: The given equation is;  f(x)=2ax2+bx+3 and point (-1,2).

Q: 4. If the force due to gravity is defined as [0,- 10] find the vector projection of the force along…

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Q: 50'-0" 25'-0" ONE DIMENSION: What is the perimeter (linear footage) of this concrete slab?

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Q: 1. Show all steps to solve for x log3 (log5 (4x + 1)) = 0.

A: We need to find out the value of x.

Q: If f is a function such that the limit when x approaches 0 exists, then f(0) exists.

A: If f is a function such that the limit when x approaches 0 exists, then f0 exists. We have to…

Q: Bb For the function h whose graph is given, state the value of each quantity, if it exists. (If an…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Given the Lorenz curve L = x2.59 find the gini index.

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Q: Use the definition of continuity and the properties of limits to show that the function is…

A: Given f( x ) = x + x + 4       ,    [ 4 , ∞ )

Q: (2xy-tany) dx + (x²-xsec²y)dy = 0; y(1) = π

A: Given differential Equation:- 2xy-tanydx+x2-xsec2ydy=0

Q: Use the definition of continuity and the properties of limits to show that the function is…

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Q: Find the inverse transform of the given function of s. F (S) = 5

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Q: a) A pyramid has a height of 510 ft and its base covers an area of 15.0 acres (see figure below).…

A: (a) A pyramid has a height of 510 ft and its base covers an area of 15.0 acres.  The volume of a…

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) √3- t lim t-0 3 +t- t

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

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Q: 2) Use the Fundamental Theorem of Calculus to evaluate the definite integral. Show all work clearly…

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Q: 5. f2cotx−3 sinx dx sin x

A: Using substitution and direct integration

Q: 2(x³ + xy² + y)dx + (2x²y³ + 4xy² + 2x²y + x^y + 2x)dy=0; y(2) = 0

A: Let's solve given differential equation.

Q: Express the area A of the cross-section cut from the paraboloid- y by the plane z=k as a function of…

A: Given equation of parabloid x2a2 + y2b2 = zcplane : z = k

Q: A spherical balloon with radius r inches has volume V(r)=3 Find an expression that represents the…

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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 the following four functions. Without actually finding a formula for the derivative,…

A: Function is not differentiable where f'( x ) is not defined ( a ) f( x ) = 3x9 - x2

Q: Find the limit of f(x) + g(x) as x approaches c. lim f(x) X-C lim g(x) X-C Exercise (a) 17 4 Step 1…

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Q: 9.log(a²-9)-log, (a − 3) is equivalent to 3₂(a² + a−12) 2₂(a² − 3a² − 9a+27) - (a+3) 3.₂(a²-a-12)

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Q: Find the general solution for the below differential equations (using wodetermined coefficien…

A: A detailed solution is given below.

Q: The graph of a function f is given. (Enter your answers as comma-separated lists.) a = (a) At what…

A: Topic - Limits of a function

Q: Sketch the region bounded by the graphs of the equations. Find the area of the region. y = -x³ + 5,…

A: Topic = Area

Q: 1. Suppose the graph of f is given. Describe how the graphs of the following functions can be…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find the area of the shaded region. A = -4 200 3 y=x² (-2, 4) 4 -2 x 00 8 9 4 2 (1, 6) 3y=2x+16…

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Q: 38. f(x) = 5e³; x = 1

A: 38. We have given function  fx=5ex Put x=1 f1=5e1 f1=5e Differentiating function with respect to x…

Q: Camels have been reported to drink as much as 22.5 gal of water in 12 hr. How many liters can they…

A: Given that Camels have been reported to drink as much as 22.5 gal ofwater in 12 hr. Our Aim is to…

Q: -710 (-7 "divides" 0)

A: Given expression -7 | 0 what it means

Q: Find the area of the region bounded by the graph of f(x) = x sin (x²) and the x-axis between x = 0…

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Q: Find the following for the vectors v=8i - 2k and u=i+j+ k. a. v•u, |v|, |u| b. the cosine of the…

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Q: Warm up with related rates. The radius of a snowball changes as the snow melts. The instantaneous…

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Q: Solve the Initial Value Problem. π y' = tan (y), y(In (7)) = (Express numbers in exact form. Use…

A: We have given differential equation  y'=tany dydx=tany 1tany dy=dx     Integrating both sides…

Q: Fill in the matrix in the equation below to find the line that passes through points (-2,-3) and…

A: given points is  (-2,-3)  and  (2,9)matrix form is detxy1x1y11x2y21=0

Q: Find the angle in radians between the planes 3x−z=1 and 4y+z=1. and 13.0384048104053

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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: an equation of the largest sphere with center (5, 4, 9) ntained in the first octant. escribe in…

A: We will find the  required.

Q: Find y' and y". y' y" 11 = y = √x In(x) x¯(³)in(x) 2 x x

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Q: For the function f whose graph is given, state the value of each quantity, if it exists. (If an…

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Q: lim ((sqrt 4-h)-2) / (h) h—>0

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Q: Given the graph of y = f(x), 1 -1 True False y -2 then x2 y = f(x) lim_ƒ (x) = 1 2 3 X

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