Find the derivative of the function. -x + 1 r(x) : = |(7x – 4)(x – 8) -

Q: Find the area of the triangle with vertices P(1, 2, –4), Q(0,0,0) and R(3, 4, 1). NOTE: Enter the…

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Q: Find the break-even point(s) for the revenue and cost functions below. Separate multiple answers…

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Q: Find the largest open interval where 8. y = (x?_9)a° is increasing.

A: Given query is to find the interval where function is increasing.

Q: Let f be the function x + 9 for x 2 Find the value of c that makes the function left-continuous.…

A: This question can be solved using the concept of left and right continuity.

Q: For each problem, use the method of cylindrical shells to find the volume of the solid that results…

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Q: Find Vf at the given point. f(x,y,z) = ex+Y sin z+ (y + 1) cos "x, Vf i+ 0,0, (Type an exact answer,…

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Q: r the sequences an defined below are con nverges, find its limit.

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Q: Determine whether the sequence is increasing, decreasing, or not monotonic. Is the sequence bounded?…

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Q: 4. Convert the vector (2. 3, 4) into the i and i form. Then find its magnitude of the vector.

A: Vector form of a point (a,b,c) is given by v→=ai+bj+ck and magnitude of this vector is given by,…

Q: Given that x and y are functions of time, find the indicated rate of change. dx dy Find when x = 4,…

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Q: A child flies a kite at a height of 70 ft, the wind carrying the kite horizontally away from the…

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Q: Determine whether Rolle's theorem applies to the function shown below on the given interval. If so,…

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Q: In each of the following, find lim r (t) if it exists: sin 7t 1– cos 2t 1. T (t) tant î - t t t 2.…

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Q: cos x dx

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Q: Given the following function: 5x2 + 4 f(x) = 2x + 10 Step 1 of 2: Findf(4). Answer f(4) =

A: To solve this question, we will simply put x=4 in the function f(x).

Q: For the function p graphed in the accompanying figure, find lim p(x). y = 6(x) 4

A: As x tend to minus infinity, y approach to zero.

Q: Simplify {x²[x-³y(x²-¹)-1}

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Q: 10. f(x): %3D (1+ 4x)²

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Q: dy Y – x dx y + x

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Q: For each problem, find the volume of the solid that results when the region enclosed by the curves…

A: Solution is given below:

Q: Find the mass and center of mass of the solid E with the given density function p. E is bounded by…

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Q: The logistic equation d = P(a – bP), Р(а — a > 0, b > 0, is dt Select one: O None of them nonlinear…

A: We have to find if the equation is linear or separable or not.

Q: Evaluate 3 – 12x4 lim x→0 5 +3x4 - If the limit is ∞, enter 'INF', and if the limit is -oo, then…

A: The given limit is: limx→∞3-12x45+3x4

Q: Determine whether Rolle's Theorem applies to the following function on the given interval. If so,…

A: rolls theorem

Q: Find the maximum and minimum values of x + y subject to the constraint x - 10x +y - 8y = 0. What is…

A: x2+y2 subject to the constraints x2-10x+y2-8y=0

Q: X 21. The height, s, of a ball thrown straight down with initial speed 32 ft/sec from a cliff 48…

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Q: Find the equation of the tangent line to the parabola at the given point. x^2 = 2y, (-2, 2)

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

Q: Evaluate the iterated integral. '5 (4z fIn(x) xe-Y dy dx dz Need Help? Read It Watch It

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Q: 4. Solve differential equation y'+ 2.xy =0.

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Q: Ilu ne mervais OT wiiich the function is increasing or decreasing. f(x) = 2x° +3x- 12x+ 17 .... List…

A: Given query is to find the interval where function increasing and decreasing.

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: The given function is: h(p)=p-1p2+2 To find the derivative of the function using the quotient rule:…

Q: 4. The population A (in thousands) of Atlantic City in 2014 was 39,521. In 2018, the population was…

A: We need to find population model and solve.

Q: tive of inction inner function (2x) Derivative of Diff

A: We have to complete the given table according to the given information

Q: Given: h (t) = ; Find h'(t). %3D +2 O h (t) = 8t (1+t) %3D (t+2)* 8t Oh (t) = (t+2) %3D Oh (t) = 8t3…

A: Given,h(t)=t2t2+12differentiate w.r.t.th'(t)=ddtt2t2+12Use power rule…

Q: 4 – 5x5 Find the limit lim x – 7 Enter I for o, -I for -o, and DNE if the limit does not exist.…

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Q: (1) Find an equation of the tangent plane to the surface at the given point. f(x, y) = x? – 2xy +…

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Q: An open box is to be made from a square piece of cardboard measuring 15 inches on a side by cutting…

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Q: Find the quadratic function such that f(4) = - 26, f '(4) = -19 and f ''(4) = -6.

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Q: 3. Let f(x) = 1+x + x² + x° +x* + x°. %3D Find T3(x), the Taylor polynomial of f at r = 0 with…

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Q: 23 — 4а2 + 8ах + 1 f(x) = 2? — 2х + 2

A: answer is in next step

Q: Find the arc length of the parametric curve. x = e', y = et, z = v2t; 0<t< 10 L

A: I am attaching image so that you understand each and every step.

Q: 3.) Y + y = x" ן1

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Q: 6. (a) (2/3, 2, 1) (b) (4, 3, 2)

A: We have to find the cylindrical coordinates

Q: Evaluate the integrals for f(x) shown in the figure below. The two parts of the graph are semicircle…

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Q: Find the absolute maximum and minimum values of each function, if they exist, over the indicated…

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Q: A swimming pool is 50 m long and 20 m wide. Its depth decreases linearly along the length from 3 m…

A: answer is in next step

Q: s [5xt° 1 7 + 1-9х 13) dx e6x+5 + 4 sin(8x + - - - 5 2 Vx3

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Q: (a) Find f,(1, 4) and f,(1, 4). ,(1, 4) = (1, 4) =

A: By our policy we are allowed to solve one question at a time and maximum three subpart. So here I am…

Q: Evaluate the integral using the Fundamental Theorem of Calculus, Part I. (Use symbolic notation and…

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Q: Antiderivatives of Algebraic Functions Find the antiderivatives of the following.(Excercises)

A: Since this is a multiple subpart question, according to the Bartleby answering rule, only first…