Compute the average rate of change of the given function over the specified interval. f(x)=x^3,[6,7]

Q: e x² + y² = z², bounded below by the xy-plane and bounded al integral to find the surface area of S…

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Q: 15) Determine whether the integral is divergent or convergent. If convergent, evawate. If not state…

A: Topic = Integration

Q: 1. Solve the following complex roots and plot the solutions if

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: y lnxlny dx + dy = 0

A: Topic = Differential equation

Q: EX: Find the F.T. of the triangular pulses g(t)=AA(+) Sols Apply differentiation property of F-T…

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Q: Write out the form of the partial fraction decomposition of the function. Do not determine the…

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Q: For the equation, find the slope m and y-intercept (0, b) (when they exist) and draw the graph. (If…

A: Here we have to find the slope and y intercept.

Q: Solve the equation by factoring or the Quadratic Formula, as appropriate. (Enter your answers as a…

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Q: Two vectors in the plane, i & j, have the following properties: i. i = 1, i .j = 0, j . j = 1 a) Is…

A: Given Properties of two vector i and j: i.i=1, (i is parallel to i )i.j=0 ,(i is perpendicular to…

Q: List the transformation in the appropriate order of how to make a graph of y=-4f(1/5(x-1))-3 from…

A: Transformation rules for functions:-(i) if we transform f(x) to f(x-a)⇒we have to apply horizontal…

Q: 20. lim #45 2 = 7

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Q: domain of g(t)= sin(et-1)

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Q: The fox population in a certain region has an annual growth rate of 6 percent per year. It is…

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Q: Use implicit O dy x ln y dx dy dx dy dx 1 dx || differentiation to find dy/dx if x In y = 3. x ln y…

A: The given term is; x lny= 3.

Q: 12. Find and simplify f(x)−ƒ(a) - for each of the following functions. x-a (a) y = f(x) = x² +4 (b)…

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Q: B- Find the area of the surface generated by revolving the curve y = √2-x² about x-axis

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Q: find all value[s] of a, b, c, or k that make the function. Continuous everywhere. 10. 2 g(x) = √(x²…

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Q: Find the difference quotient and simplify your answer. f(t) = 1 / t-4,  f(t) - f(3) / t-3,  t ≠ 4

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Q: Question 18 The angle between 0 and 360° that is coterminal with the angle 1184° is O Bost to forum

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Q: Prove the identity. cot²x cscx+1 =cscx-1 Note that each Statement must be based on a Rule chosen…

A: We have to prove given identity.

Q: 2. f (cos 5x −sin 5x) dx cos²5x

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Q: the first term of a geometric sequence is 3, and the third term is 4/3. find the fifth term. Thank…

A: first term a1=3third term a3=43

Q: Fill in the blanks: As x → 5, f(x) →. asymptote. The equation is State the range of f(x) in interval…

A: The graph of the function states that the function have both horizontal as well as vertical…

Q: Solve the compound inequality: 6≤2x−8<12.

A: We have to solve compounded inequality for x.

Q: If a marble is dropped from a height of x feet, it will hit the ground with velocity v(x) = √x miles…

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Q: Explanation Page ? QUESTION Prove the identity. (cscx-1)²cscx-1 cot²x 00 EXPLANATION We'll start…

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Q: +8 (x² − x + 1)(x² + 9)²

A: The objective of the question is Write out the form of the partial fraction decomposition of the…

Q: 3 B. 13.333 ft/min C. 2.727 ft/min. -6ft As shown in the above picture, a 6 foot tall man is…

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Q: Find the derivative of g in the direction of a = 2i+ curl w at point (0 where น u+2 8 = In- J u =…

A: g=lnuu+2, u=z(xy+z2)2, w=cosxyzi+xeyz+1j+xyzk We have to find the directional derivative of g in the…

Q: an equation of the tangent line to the graph of "f" at the given point: y=x3-3x+1, (2,3)

A: Given query is to find the equation of the tangent line.

Q: Find equations of the lines through the given point parallel to the given line and perpendicular to…

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Q: Convert -0.8 radians to degrees: (Round your answer to the thousandths place.) I

A: Topic- Conversion of radians to degrees

Q: (a) Σ(1/7)", (b) (1/7)" where k is a nonnegative integer, n=k (c) Σ07" /n!, n=0

A: We have to evaluate the value of series in this question.

Q: The cost to print tote bags to sell to faculty and staff is $160 for the printer fee and $4 per bag.…

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Q: Your cell phone plan charges a base charge each month plus a charge per daytime minute of usage. In…

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Q: 2 X • xý - (x+2) y = -2X²-2x Ans: y=C₂x²³ +2×

A: Given :xy'-x+2y=-2x2-2xy=∑m=0∞amxm=a0+a1x+a2x2+a3x3+...

Q: The value of the limit A = B = lim 1-8 (use A = 0) n 4 n 5+ is equal to the area below the graph of…

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Q: 4π Find the area of the sector of a circle with radius 6 centimeters formed by a central angle of 3…

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Q: iF w=f(x-y₁ y-Z, Z-x) then dw dw dw = ? dx dy dz Chain roll

A: Chain Rule : If w= f(a,b,c) and a=g(x,y,z) ; b= h(x,y,z) and c= l(x,y,z) then…

Q: 3x² + 3y² - 6x − 24y + 24 equation of a circle with center (h, k) and radius r for: h = and k = and…

A: We have to find the center and radius of given circle.   According to our guidelines we can solve…

Q: The graph of the function f(x) = 5 - 8 can be obtained from the graph of g(x) = 5* by one of the…

A: Domain:- The set of all those x such that function f(x) exists.Range:- The values of the f(x) assume…

Q: Express u = (3,-10) as a linear combination u = rv + sw, where v = (5, 1) and w = (1,−1). (Use…

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Q: The cost, in dollars, to produce a designer dog leashes is C(x) = 7x + 1, and the price-demand…

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Q: 4. f(x) = 2x2-10, g(x)= =-x

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Q: to degrees: - to the thousandths place.)

A: We have to convert in degree from the given condition

Q: Find the value(s) of y such that the distance between the points is 6. (-6, 0), (-9, y)

A: Solve for the value of y

Q: Name: Turning Points, Increasing, Decreasing Interva 1. Below is the graph of the function f(x).…

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Q: Evaluate lim (2+ y) sin(x). (x,y) → (1,6) 02 O O o O Does not exist

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Q: Evaluate the multiple integral -3 -1 -4 1 2 dy dz ix dy dz 24x-yz³dx

A: Given, ∫-11∫-4-3∫1224x2yz3dxdydz

Q: ments Sketch the level curve of the function h(x, y) = y² - ² for c = 25. $43 10- Clear All Draw: 8…

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