Consider the following function: 9x2 – 3x 10 if x < 7 f(x) = - 6x2 – 5x – 2 if x 2 7 Step 1 of 2: At what x-value is the function discontinuous? Keypad Answer Keyboard Shortcuts

Q: Find the limit of the sequence 3n +2 lim Show your work. V2n+3

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: A particle is released as part of an experiment. Its speed t seconds after release is given by v(t)…

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Q: 5. E-1 ne-" n=D1

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Q: + 9y = sec 3x

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Q: the graph of the function f(x)=1/x+3-10 is a transformation of the graph of the function g(x)=1/x by…

A: f(x)=1x+3-10  , g(x)=1xConsider g(x)=1xHorizontal shift left  by 3 units⇒g(x+3)=1x+3Then Vertical…

Q: 23. Integrate: S x+2 dx 2 A. V1– x² + Sin-1x + C C. -V1– x² +Sin-1x + C B.V1 – x2 +Sin-1x + C D. –V1…

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Q: 1. Consider the function f(x) = x - 4 on the interval [-2,2]. Calculate the Riemann sum using: a.…

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Q: Sketch a graph of the function f that is continuous on (- 00,00) and has the following properties.…

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Q: A farmer, well versed in traditional optimization problems, has decided to buy a rectangular plot of…

A: A rectangular plot of 200 square meters of land on the bank of a river, and surround it on three…

Q: Find the particular solution of the differential equation with the initial condition given below.…

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Q: d 4) (1+ x)* = (Logarithmic differentiation) dx

A: We have to find the differentiation.

Q: Determine lim an for each sequence (a,} If the limit doesn't exist, explain why. 4n2 • a. an %3D 2n3…

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Q: Eliminate the arbitrary functions and hence obtain the partial differential equations:   z = f(x *…

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Q: Find the center of mass (in cm) of the particles with the given masses located at the given points…

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Q: 4 If f(x) = 5+ x, evaluate >f (3k). f (3k). k=1 Answer: Submit Answer

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Q: When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the…

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Q: termine the area bounded by

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Q: e dx tx- e-e, Given that use this result to evaluate Se + 2 dx.

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Q: 4. A particle is moving in a straight line and its distance s, in meters, from a fixed point in the…

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Q: xy2y' = x + 1.

A: answer is in step 2

Q: y" + 2y' + 2y = 0, y(0) = 0, y'(0) = 15, %3D %3D %3D

A: answer is in next step

Q: Suppose you deposit $3000 at 4% interest compounded continously. Find the average value of your…

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Q: Find positive numbers x and y satisfying the equation xy=24 such that the sum 4x+y is as small as…

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Q: Find the area of the region enclosed by f(x) and the x-axis for the given function over the…

A: Use integration for finding the area under the given interval.

Q: 16 sin?x 5. The integral S dx is equal to (useful identity double angle identity for sin) cot2 x+1 1…

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Q: Solve the equation In(x + 2) = cos - 3) + 2.5 using the Newton-Raphson method with an initial value…

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Q: Find the point on the circle x2 + y2 = 1 that is closest to the point (1, 3/4) by using the method…

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Q: Use the union rule to answer the question. If ​n(A)=8​, ​n(B)=9​, and ​n(A∩​B)=4​, what is ​n(A∪​B)?

A: Formula: n(A∪B) = n(A)+n(B)-n(A∩B)

Q: 1 F(s) %3D s(s²+4)

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Q: H(x, y)  =  ln(3x2 + 9y2) (a) Find  fxx(2,3) . (b) Find  fyy(2,3) . (c) Find  fxy(2,3) .

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Q: Divide. (242°v+12z°v^- 35zv?) = (-42^v) 4 2 Simplify your answer as much as possible.

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Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. lim (Vx+4 -…

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A: The given question has been solved in detail

Q: a) Write the first three non-zero terms of the Maclaurin series for arctan(x). +... b) State the…

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Q: Find Duf at P. 3 4 f (x, y) = sin(3x – 4y); P(4,3); u = i j %3D - - NOTE: Enter the exact answer.…

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Q: Determine £(F}. F). 21 4s-18s +6 F(s) = %3D s(s-5)(s-6)

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Q: Money deposited in a fund triples every 8 years. If the bank compounds the interest continuously,…

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Q: Evaluate the following limit. (3x²-y") lim (x.y)→(4,-4)

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Q: Calculate the Riemann sum R(f, P, C) for f(x) = x, P = {1,1.3, 1.6, 2}, C = {1.2, 1.45, 2}. R(f, P,…

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Q: Find all the complex roots. Write the answer in exponential form.   The complex fourth roots of…

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Q: If f is a quadratic function such that f(0) = 9 and f(x) x2(x + 1)3 dx is a ratianal.functian,,find…

A: This question is about finding f'(x)  at x=0  where f(x) is a rational function

Q: 8 sec 0d0 3. S V4 + 4 cot2 0 is equal to A. 4 ln csc 0 + C В. 4 In sec ®+ С C. 4 In cos 0 + C D. 4…

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Q: Here is a graph of the function h. 3- 1- -5 -4 -3 -2 -1 -3- -4- Use the graph to find the following.…

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Q: Consider the following vector field. F(x, y, z) = 8xye²i + yze*k (a) Find the curl of the vector…

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Q: QUESTION 7 Encontrar la suma de las series infinitas 1 En=1 n2 +4n+3 O 5 3 12 1 2 O 3 4

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Q: 7. Integrate: S sec? (n²x)dx A. 2n tan n² + C В. x sec2 п2 + С C.금tan(T2x) + C D. x sec nx + C 8.…

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Q: An open top box with a square base is designed to contain 2000 cm³ of volume. If we let z denote the…

A: An open top box with a square base is designed to contain 2000 cm3 of volume. If we let x denote the…

Q: Find an equation of the plane that passes through the point P(5, 6, 2) and has the vector n = (1,7,…

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Q: If f(x) = |, (t3 + 4t2 + 7) dt then f"(x) = ||

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Q: The entire graph of the function h is shown in the figure below. Write the domain and range of h as…

A: We can find the domain and range in the following steps.