Find the average value of the function on the given interval. (Show work)

Q: 8. Use the following: P(1, 3, 2), Q(2,0,−1), R(3, -1, 1) Find the normal vector and equation to the…

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Q: Find an equation of the tangent line to the graph of y = g(x) at x = 2 if g(2) = -6 and g'(2) = 3.…

A: We have given  graph of the function  y=gx When x=2 g2=-6 Let, x1,y1=2,-6 g'2=3 Slope (m) = g'2=3…

Q: Match the points labeled on the curve below with the given slopes in the following table. E A slope…

A: Question - Match the points labeled on the curve below with the given slopes in the following table.

Q: 2. The following rule, given in the class, is called the chain rule: D(Go F) (a) = DG(F(a)).DF(a).…

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Q: write the equation of a line tangent to (2x-1)(x-1) if the slope of the tangent is -11

A: Given: y=(2x-1)(x-1) slope =11

Q: Solve the system by the elimination method. 24x+12y = - 11 16x - 18y = 17

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Q: Find the indicated higher derivative of the given function. y = x² - 4x5x4; find- d³y d³y -[ = dx

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Q: 2

A: We will find the required.

Q: A variable force of 5x² pounds moves an object along a straight line when it is a feet from the = 1…

A: Given that a variable force of 5x-2 pounds moves an object along a straight line when its x feet…

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Q: Use the trapezoidal rule, the midpoint rule, and Simpson's rule to approximate the given integral…

A: The given integral: ∫24sinttdt   ; n=4We need to approximate the given integral using the…

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A: here we are using number 0.000003 which is very small to 0.0712.

Q: Consider the following given function and given interval. f(x) = 12 sin(x) - 6 sin(2x), [0, π] (a)…

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Q: Log9x expand

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Q: What is the volume of the parallelepiped with sides i, 7j - k, and 8i + 6j - k?

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Q: Set up (but do not evaluate) the integral to compute the first moment of a thin plate of constant…

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Q: Use the following: a = 23i +2j -k , b =i -2j Quoted:

A: Component vector of a on b is [(a.b)×b]/|b|.

Q: Evaluate 9 9 7 cosh (In (5t)) t cosh (In (5t)) t -dt = -dt. 7 (Round to the nearest hundredth.)

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Q: ฟรี 3-27 2v-v-7 ฝา

A: Please see the below pictures for detailed solution.

Q: Consider this series. 16 + ¹15 + (−1) + (− 2) + ... Does the series converge or diverge? Select…

A: We need to find out that the given series is converging, or diverging.

Q: What is the inverse of 28) f(x) = x + 6 29) g(x) = 3x -7 30) h(x) = 學 5 Ros

A: Introduction: “Since you have posted multiple questions, we will provide the solutiononly to the…

Q: Suppose f and g are continuous functions such that g(9) = 3 and lim [3f(x) + f(x)g(x)] = 30. Find…

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Q: 21. An aquarium 2 m long, 1 m wide, and 1 m deep is full of water. Find the work needed to pump half…

A: Given :- Length =2 m , width =1 m , height=1 m

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Q: 6. y=x³, y=8, x = 0; about the x-axis

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Q: Find an equation for the plane that passes through the following points. (3, -1, 4), (0, 0, 5), and…

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Q: Find the distance between the point  (−3, 5, 1)  and the line given by  x = 1 + t, y = 3 − 2t,…

A: Our Aim is to find the distance between the point (-3,5,1) and the linegiven by x=1+t, y=3-2t and…

Q: Find the dot product of u = (6, -7, -9) and v = (5, 3, 3). Provide your answer below: u.v=

A: As per our guidelines we are supposed to answer only one question at a time. Solution of one…

Q: Find the intersection of the two planes with equations 7(x - 1) + 5y + (z + 1) = 0 and (x - 1) +9y…

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Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

A: NOTE: Refresh your page if you can't see any equations. . substitute  .................put it…

Q: what is the value of the Mean Absolute Percent Error (in percent)?

A: Follow the procedure given below.

Q: 1. How much work is done when a weight lifter lifts 200 kg from 1.5 m to 2.0 m above the ground?

A: The mass of the object is m = 200 kg The initial height of the object above the ground, h1 = 1.5 m…

Q: Use the following points: P(7,-5,5) Q(-5,10,10), R(-8,8,4), S(-20,23,1) A: Find the area of the…

A: By using the following points: P7, -5, 5, Q-5, 10, 10, R-8, 8, 4, S-20, 23, 1 (A) To find the area…

Q: (2x − y + 1)dx +(4x − 2y+3)dy = 0 -

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Q: Consider the points W (12,-2) and X (-2, 17). Determine a vector, c, in the same direction as WX…

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Q: The following integral represents the volume of a solid of revolution. Describe the solid. #f'(x1¹²_…

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Q: If f(x) = -1² +21, which of the following determines the deriva- tive of f(x)? -(x+h)² + 2(x+h) +…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

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A: The given data is: The new cost of the machine is $37,000 and has a projected lifespan of 8 years…

Q: Below is the graph of a function f. -6-4 -2 8 6 2. -2 2 Use the graph to find all values of r at…

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Q: (2x-2y-3)dx = (2x - 4y-2)dy

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Q: Given the parabola (y - 3)² = -8(x-2): Find the following: Equation of axis Focus Equation of…

A: We have equation of parabola.

Q: y² + y + x² − 2x = 5 O 2.23 O -1 05 O 1

A: Given :y2+y+x2-2x=5

Q: f'(2) = lim h→0 f(2+h)-f(2) h = lim h 0 =

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Q: 4. Use the limit theorem to find 44²-7 (i) 2u³+5n lim 4-780 In nxo 2n+1 (ii) lim

A: INTRODUCTION The domain and range of a function are two important mathematical concepts that affect…

Q: The limit is indeterminate of the form 1. Write the function f(x) = (1 + 7) ³× as an exponential…

A: The limit limx→∞ 1+7x3x is indeterminate of the form 1∞. To write the function fx=1+7x3x as an…

Q: Find the average rate of change for the function over the given interval. y=x² + 6x between x=3 and…

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Q: * The shortest distance from the point (5,10) to the curve x^2 = 12y is 4.331 O 3.474 O 5.127 O…

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Q: Use the revenue and cost functions below, to answer parts (A), (B), and (C) R(x)=75x-3x² 1≤x≤20…

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Q: Please help me Prove that Tan(-Z)=-Tan(Z)

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Q: Solve 2ayy' 4x² + 3y² 42

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