Use interval notation to indicate where f(x) = x+2 if x < 0 et 2- x if 0 ≤ x ≤ 1 is continuous. if x > 1

Q: 3. f(x) = Χ (x+2)² 1 x+2

A: Given that  f(x)=x(x+2)2-1x+2 As per our guideline we supposed to answer only  first question, to…

Q: Problem 2 following statement is true: cosh² (x) 1+cosh (2x) 2 Use the definition of cosh (x) to…

A: solution: From the definition of cosh(x)   cosh(x)=(eˣ+e⁻ˣ)/2

Q: Evaluate the triple integral over the indicated bounded region E. JIS (x + 2yz) dV, where E = {(x,…

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Q: Find the equation of the tangent plane to the surface In(x³ + y³ + z³) = x²z+1 at the point (1, 1,…

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Q: Evaluate each integral. fæcos x cos(5x) dx

A: Integration by parts rule

Q: Evaluate the integral using partial fraction method (x² + 5) (x² + 1) (x − 9) (x − 8) - J dx

A: Given integral:- ∫x2+5x2+1x-9x-8dx

Q: Find the mass of the lamina that occupies the region D = {(x, y): 0 ≤ x ≤ 1,0 ≤ y ≤ 1} with the…

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Q: Find [(5x+3x²) da dx + C

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Q: Find the area of the region bounded by one petal of the curve given in polar form by the equation r…

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Q: Suppose that f(x, y) = eª/y on the domain D = {(x, y) | 0 ≤ y ≤ 1,0 ≤ x ≤ y³}. D Q Then the double…

A: The given function is: fx,y=exy 0≤y≤1, 0≤x≤y3 To find ∫∫Dfx,ydxdy

Q: Let f be a function defined as f(x) = {₁/2²) Note that e≈ 2.72. The value of f'(4) is approximately:…

A: Given:  fx=xex2+8 if x&lt;24x2x+32 if x≥2 To Find:  To evaluate f'4.

Q: Find a possible formula for the graph of a function G(x) above: G(x) =

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Q: Minimizing Packaging Costs A rectangular box is to have a square base and a volume of 12 ft3. If the…

A: A rectangular box is to have a square base and a volume of 12 ft3.  If the material for the base…

Q: Find all rational zeros of the polynomial P(x) = 3x¹ - 3x³ - 7x²+x+2, and then find the irrational…

A: Given: px=3x4-3x3-7x2 +x +2 To find: Rational and irrational zeros of p(x)

Q: Consider the following function: Step 4 of 4: Enter the x-values of any relative minima, maxima, and…

A: A detailed solution is given below.

Q: Find the following for the function f(x) = 3x² + 4x -2. (b) f(1) (a) f(0) (e) - f(x) (f) f(x+3) (a)…

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Q: Find the first derivative of f(x) ƒ'(x)= = 8x + 10 19 x

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Q: Determine where the function is (a) increasing; (b) decreasing; and (c) determine where relative…

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Q: A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the…

A: Given, A norman window has the shape of a semicircle atop a rectangle so that the diameter of the…

Q: Use Theorem 7.4.2 to evaluate the given Laplace transform. Do not evaluate the convolution integral…

A: Evaluate the laplace transform ?

Q: Question 5 of 5 Solve the compound ineq -4x<=-28

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Q: Selected measurements of a continuous function f are given in the table, Use Simpson's Rule to…

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Q: dx = 8x³ 8x3 + 3x, y(2) = 0

A: Given query is to solve the differential equation.

Q: Find the length of the curve over the given interval.

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: 10 Discuss the continuity of this function. There is a ---Select--- Need Help? Read It 12 14…

A: N(t)=30(3[[t+33]]-t)N(3)=30(3[[3+33]]-3)=30(6-3)=90N(6)=30(3[[6+33]]-6)=30(9-6)=90similiarily,N(9)=9…

Q: Consider the following function: f(x) = (x-6)(x-8)² Step 2 of 4: Determine where the function is…

A: f(x)=(x-6)(x-8)2  for critical points put f'(x)=0d dx(xn)=nxn-1

Q: › Consider the differentiable functions f(x) and g(x), for which f(0) = 4, g(0) = 3, f'(0) = -11,…

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Q: Suppose an unknown radioactive substance produces 7200 counts per minute on a Geiger counter at a…

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Q: I²e¹³ dx

A: Given query is to find the integral.

Q: 67. Let f(x)=√x³ +1. o fº√x² S a. Find a Midpoint Rule approximation to b. Calculate f "(x). x³ + 1…

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Q: y = In(5x), y = 1, y = 4, x = 0; Sketch the region. 3 1

A: As mentioned we have to only sketch the graph based pn given boundations.

Q: 1) x² 1-x² dx

A: (1) given integration is = ∫x21-x2dxlets  substitute   x = sint       ⇒dx = cost dt then integration…

Q: Consider the following function: Step 4 of 4: Enter the x-values of any relative minima, maxima, and…

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Q: The Sumeru Akademiya wants to manufacture Canned Knowledge in literal cylindrical cans that could…

A: Let h be the height of the cylindrical can and r be its radius.   Volume of cylindrical can can be…

Q: Find dy/dx by implicit differentiation. xey = x - y y' =

A: Note : according to our guidelines i can solve only first question please reroute the remaining one.…

Q: Give examples of sets of three vectors that are Collinear Coplanar  Not coplanar Explain your…

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Q: tion about the origin. hat is the 13. Let T: R2 R2 be the linear transformation such that T(e₁) and…

A: Please see the below picture for detailed solution.

Q: lim f(x) = L and lim f(x) = M, where L and M are finite real numbers, then how are L and M related…

A: Given query is to find relationship between L and M.

Q: Determine where the function is ​(a)​ increasing; ​(b)​ decreasing; and ​(c) determine where…

A: Given : y= -(x^3/3) - (x^2) +35x -2   To determine where the function Y = -(x^3 /3)-x^2+35x-2 is…

Q: Determine the volume of the solid whose base is the region R in the xy -plane that is bounded by the…

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Q: At what points is the following function continuous? f(x) = x²-2x-8 X-4 6, 1 x #4 x = 4 The function…

A: f(x)=x2-2x-8x-4,x≠46,                   x=4at x=4, f(x)=6

Q: 15. dx ₁ 1 16. 570 (2+1) - dx (x+1)¹/3 r

A: we can solve this as follows:

Q: Minimizing Construction Costs The management of the UNICO department store has decided to enclose an…

A: Let us assume that the two pine board sides are of length x ft each And let the length of the steel…

Q: 16. 14s⁹/5 ds

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Q: Given the function f(x) = −2x² Find the difference quotient f(x+h)-f(x) h Find f'(x) by determining…

A: Please see the below picture for detailed solution.

Q: , Let ƒ'(x) = ƒ'(5) = f(x) = √4x² + 3x +5 Give the (x,y)-coordinates of the point on the graph of f…

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Q: Suppose that f(x, y) = y√ x³ + 1 on the domain D = {(x, y) | 0 ≤ y ≤ x ≤ 2}. Then the double…

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Q: 10. (10x² + 3x5) dx -2

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Q: When recording live performances, sound engineers often use a microphone with a cardioid pickup…

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