Where is f(x) continuous? Write your answer using interval notation. 2r²-9x+10 if x < 1 10x - 7 if 1

Q: xy Find the linear approximation to the equation f(x, y) = 5, 8 approximate f(4.12, 8.17) f(4.12,…

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

Q: Consider the following vector field. 7 √x² + y² + (a) Find the curl of the vector field. F(x, y, z)…

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Q: How long of a ladder is needed to reach a window 33 feet above the ground if the ladder rests…

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Q: Find the area inside the cardioid r=1+cos but outside the circle r=1.

A: Note:-  since you asked question 4 to solve ,so we solve question 4 for you  Given equations:-…

Q: Suppose that f(x, y) = y√³+1 at which {(x, y) |0 ≤ y ≤ x ≤ 1}. D Then the double integral of f(x, y)…

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Q: The average value of the function f(x) = 2x sin(2x) on [0,] is equal to 1. Select one: O True O…

A: The given function is;  f(x)=2x Sin(2x)

Q: Find the critical points of the function x3 3 Use a comma to separate multiple critical points.…

A: To find the critical points of the following function. fx=x33-3x22-18x+3

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. an =…

A: Explanation of the answer is as follows

Q: 8. Sketch the Domain of ƒ (x, y) = ln (1 — x² − y²). f

A: The argument of natural log function is always positive. i.e., The natural logarithmic function is…

Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

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Q: Consider the following vector field. F(x, y, z) = (3ex sin(y), 5ex sin(z), 7e² sin(x)) (a) Find the…

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Q: Find the direction in which the maximum rate of change occurs for the function 2x sin(xy) at the…

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Q: Evaluate the indefinite integral by using the given substitution to reduce the integral to standard…

A: ∫sin2xdx

Q: 6) Find the absolute maximum and absolute minimum values of fon the given interval. (Round all…

A: fx=x16-x2 ; x∈-1,4

Q: The Mean Value Theorem states that if f is continuous on the closed interval [a, b] and…

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Q: 2. Part 2 - Find the error(s) and solve the problem correctly. Convert the polar equation to…

A: r=-4cosθ

Q: Verify that the Divergence Theorem is true for the vector field F on the region E. Give the flux.…

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Q: Determine el s 2 dx

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Q: What is the sum of the first six terms of the geometric series 2-4+8-... ? α₁ (1-²¹) 1-r Sn = O S6…

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Q: a) Sketch the region S enclosed by the curves b) Find the Area of the region S. y=√√√2-2 and…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Given the function of f(x)=9x^2+8x−3 on the interval [1,2], find a point c between 1 and 2 so that…

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Q: 5. Calculate lim f(x), where x+1+ (a) 3 (b) 1 f(x) = (c) -2 (d) 2 (e) does not exist 5A 5B 4-x -2 x²…

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Q: Evaluate the following indefinite integral. S e13y dy 6 + e26y help (formulas)

A: The given integral is e13y/(6+e26y)

Q: Use the product-to-sum identities to rewrite the following expression as a sum or difference.…

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Q: Find the composition f[g(x)] if: O 2-3u10 (10 - 15x2)5 O f(u) = u5 and g(x) = 2 - 3x² (2-3x²)²…

A: fu=u5 , gx=2-3x2

Q: 3. ( Solve the IVP explicitly: f df da =re -2x f(0) = -1

A: To solve the IVP explicitly. fdfdx=xe-2x, f0=-1

Q: 10) Use the Riemann-Rectangle program to evaluate the Riemann sum for f(x) = √√x+1, −1≤ x ≤ 5, with…

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Q: Find the average value of f(x) interval [ 14, 14]. fave = Calculator = 14 x over the -

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Q: The population of a certain city was 27000, then 5 years later the pouplation was 45000. Write the…

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Q: =x2ex-4 show that dy/dx= 2xex-4+x2ex-4

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Q: What is the 100th term of the sequence -3, 2, 7, 12,...?

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Q: find the following: sec0=?

A: sec0: As the angle is between 0 and 90 degrees, it is located in 1st quadrant, where the value of…

Q: 3. A projectile is fired with an initial velocity of 128 ft/s from a cannon at time t = 0 from a…

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Q: e (RE-g)2 202 апо2 . e (пс-(4_92/k))2 20² 2пог

A: Concept - If base is same then power will be add together Given expression [ e-( π∈ - g )22σ22πσ2].[…

Q: Two partners agree to invest equal amounts in their business. One will contribute $10,000…

A: We need to calculate Amount after 5 years

Q: 5. Sand falls from a conveyor belt at the rate of 10m³/min to form a conical pile. The height of the…

A: Let radius of pile=r m Let height  of pile=h m

Q: Find the domain and range and describe the level curves for the function f(x,y). f(x, y) = 10x2+3y-2

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Q: Solve the given linear 1st order IVP. Give the largest interval I over which the solution is defined…

A: y'+tanxy=cos2x ,y(0)=-1

Q: √√3 X 3x² + 10 -dx

A: Integral using u-substitution

Q: Find the point on the plane x+y+z=0 that is closest to the point (1,1,1).

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Q: -6 4 -2 y 2 -2 2 4 i

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to Then…

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Q: Find the linear approximation of the function at the given point. f(x, y)=-3 sin x + 5 cos y at (0,…

A: To solve the following

Q: 138 The mass of polonium is given by the function Mpo(t) = Mo 2 where Mo is the initial mass of…

A: Let's consider a time dependent function f(t), the rate at which this function will change is given…

Q: 8 n = 1 2n +7" 14"

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Q: Find the Maclaurin series of f(x) = Σ n=0 sin(x) x

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Q: Let f(x) = 3 cos(-9x) Determine the derivative of f. f'(x) = Determine the slope of f at x = -5.…

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Q: Determine the sum of the infinite geometric series 1 1-1/+ 27 the sum cannot be determined 0-1/1 200…

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Q: A tunnel cross section is formed by a rectangle 5m wide and 8m high with a rounded section at the…

A: Draw a schematic diagram of given figure.

Q: Find the order 3 Taylor polynomial T3(x) of the given function. f(x) = (-5x +52). at a = T3(x) = 4.

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