16z(2r² + 1)°dr

Q: Given f(x, y) = 4x²y then the total differential df %3D O 4xy dx + 4x² dy O 8xy dx + 4x² dy None of…

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Q: i. Comment whether the sequence is Converges or diverges. ii. Obtain the first five terms of that…

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Q: Write the infinite series using sigma notation. 7 7+ Σ 7 7 + 625 7 25 125 = U ||

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Q: Use the quotient rule to find the derivative of 8e" + 4 - 9x7 + 9x° Use e^x for e". You do not need…

A: We will find the derivative.

Q: 22) If f f(x) dx = 4, Sí f(x) dx = 4, and f(x) dx = 6, find the value of f(x) dx. = a) 2 b) -2 с) 3…

A: As per guidelines, I can answer maximum one question. Since you have asked for multiple questions,…

Q: Content: Derivatives of Exponential and Logarithmic Function Summative Number: 3Q3 Part 1.…

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Q: 2

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Q: The velocity of a particle moving in a straight line is given by f (t) = 12 – 4t centimeters per…

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Q: )

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

A: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

Q: A certain substance decomposes according to a continuous exponential decay model. To begin an…

A: The initial amount of the substance is 400kg. After 11 hours, 140 kg of the substance is left

Q: a)Find the exact length L of the curve 3y? = (4x – 3)°, 1 0. Answer: b) Evaluate Sxe*dx Answer: 1 c)…

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Q: Given the points A(-1, 2, 0), B(1, 0, 3) and С(1, 0, 2), find AB - AC x ВС.

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Q: Let P = f(t) = 600(1.04)' be the population of a community in a year t. If the percentage growth…

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Q: Find a particular solution y, of the following equation using the Method of Undetermined…

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Q: What is the general solution to the differential equation x de = y + y cos x ?

A: Let's find.

Q: A metal storage tank with fixed volume V0 = 360π m^3 is to be constructed in the shape of a right…

A: To find: The dimensions will require the least amount of metal. Given information: A metal storage…

Q: 1. Use the four-step process to find f' (x) and then f'(-3) for f(x) = x² - 8x

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Q: 7. Suppose f is a continuous function on [a, b] and Sf(x)g(x) dx =0 for every continuous function g.…

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Q: xedx (1+ x)²

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Q: The runner's rate t seconds after exiting the start line is 250te−0.5t feer per second. Utilize an…

A: Given query is to find the distance traveled in 16 second.

Q: |3 cos 2.r dx 3.

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Q: 4. (LO 7) A recangular box with a square base and an open top needs to have a volume of 256 in³. The…

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Q: x°e3» dx (Repeated Integration by Parts)

A: Find your answer below

Q: The greatest common divisor of 57711113 and 3272135 is 1 72 57 711

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Q: Integrate the following:  use the U-substitution. ∫ (x2+5x)dx/4√x+9

A: Given problem:- Integrate the following:    use the U-substitution.   ∫ (x2 +5x)dx/ 4√x+9

Q: nt) Let I be the length of a diagonal of a rectangle Whose Sides Rave lengins If increases at a…

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Q: QUESTION 1 y=x+1 A в R y=7-x Figure 1 . Refer to the Figure 1, given that region R bounded by the…

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Q: The radical function f(x) is represented by the equation f(x) = x-1+4· The graph shown is the graph…

A: Given function fx=x-1+4 We know x-1 is defined for x-1≥0    ⇒   x≥1Therefore fx=x-1+4  is defined…

Q: An isosceles triangle has one vertex at the origin, with its other two vertices above the origin and…

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Q: If F(r) = 5 sint dt, then F'(r) =

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Q: Find the solution set of the inequality 5x2 – 2x + 12 < 6x² – 3x – 18. - Select one: а. [—5, 6] b.…

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Q: Use a linear approximation (or differentials) to estimate the number V100.5

A: To find 100.5Let y=xLet x=100 and ∆x=0.5⇒y=100y=10Differentiate…

Q: |lv|| = 4, e = 3.8° V = Need Help? Read It

A: We will find the component form of v.

Q: (1– 3csc(

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Q: Your bank offers you a personal loan of $24,000.00 at an interest rate of 5.02% compounded…

A: Given query is to find the time duration of the loan.

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive.…

A: We will create a Lagrange's function to solve the problem.

Q: an open box is to be made from a 2 foot by 3 foot rectangular piece of metal by cutting equal…

A: V(x)=length*width*heightV(x)=(2-2x)(3-2x)(x)V(x)=4x3-10x2+6x

Q: nd sets of parametric equations and symmetric equations of the line that passes through the two…

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Q: 00 1 25. nº – 7 n=1 00 .3 IM:

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Q: r = 3 - 4sine

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Q: VECTOR DIFFERENTIATION: If A = cosxyi + (3xy -2x^2)j –(3x +2y)k find dA/dx, dA/dy, d^2A/dx^2,…

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

Q: A bicyclist traveling at 14 ft/sec velocity (ft/sec) puts on the brakes to slow down at a constant…

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Q: 1. a) Find the point of inflection(s) of f(x) = x³ – 6x2. If an answer does not exist write DNE) b)…

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Q: f(x) = x - 16 Ос. х%34, х%3 - 4, у%3D0 O D. x-4, x= - 4 Choose the correct graph below. OA. OB. OC.…

A: Given query is to find the asymptotes and the graph.

Q: Find the area of the region in the first quadrant bounded on the left by the​ y-axis, below by the…

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Q: If z = ln √(u2 + v2 + w2), find ∂z/∂u, ∂z/∂v, and ∂z/∂w. Also, please explain the method used to…

A: Topic = Derivative

Q: the shell Method to find the volume of the solid generated by revolving the area bounded by the…

A: Topic = Volume

Q: The functiong is defined as follows for the domain given. g (x) = 2x-1, domain = {-3, -2, 1, 5} }…

A: We can find the range and graph the polynomial as below.

Q: f(x) = ×2 + 2x - 2 then f(-2) =

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