OA. x=0 and x = 3 OB. x=0 OC. x=3 OD. There are no points where the function is discontinuous.

Q: e polynomial of degree 4, P(x) has a root of multiplicity 2 at x = 4 and roots of -2. It goes…

A: Topic:- polynomial

Q: 3. KIN 2 13² cos x V1+sin x dx

A: The given integral, ∫0π2cos x1+sinxdx

Q: f(x) = − sin ( + 7) +2 == a. Determine the amplitude, period, phase shift and vertical shift of the…

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Q: Use Theorem 7.1.1 to find £{f(t)}. (Write your answer as a function of s.) f(t) = 2t³ £{f(t)} =

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Q: 28.y= I 4+4

A: We have to find derivative

Q: 6) Find the domain of the given functions (use interval notation) and the find f(g(x)) f(x) =…

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Q: Using the Limit Comparison Test with the geometric series -17, to 8 67 determine if the series given…

A: Limit comparison test -  If we have two series ∑n=1∞an and ∑n=1∞ bn and limn→∞(an/bn) is finite and…

Q: Find the complete solution of ey sin x dy cos²x = 0 dx

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Q: Find the points on the curve where the tangent is horizontal or vertical. If you have a graphing…

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Q: 1) x(x + 1) dx S (3) x² x² +9 dx (2) √ x(x x(x + 1)³ dx (4) (x² + 1) cos x dx

A: Disclaimer:  “Since you have posted a question with multiple sub-parts, we will solve the first…

Q: Use the Divergence Theorem to evaluate [/F. and find the outward flux of F through the surface of…

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Q: 55. Find the area bounded by r = 4 sin 20 a. a. 4n square units b. 8n square units C d. 4 square…

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Q: A box with no top and a square base has to be designed so that its volume must 108 cm³. Find the…

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Q: ds" Evaluate the given Laplace transform. (Write your answer as a function of s.) L{te-15t}

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Q: If  f(x) = 3x + 4 and g(x) = 5 x,  find f(g(x)) and g(f(x)). f(g(x)) =        g(f(x)) =

A: We have given  f(x)= 3x+4 and g(x)=5x  We have to find  1) f(g(x))  2) g(f(x))

Q: 5. The height of a chair on a Ferris wheel is described by the function h(t) 15cos(t − 4) + 18 where…

A: Let's find possible height of ferris wheel.

Q: A differentiable function f has only one critical number at x = 5. What can we say about this point…

A: If first derivative is negative on left side of critical point and positive on right side, then it…

Q: 3 parts  A population of rabbits grows exponentially at a rate of 3.4 percent per year. The…

A: Topic- Exponential Population

Q: Given data points: (-2, 1), (-1, 2), (0,1), (1,2), (2,1) Calculate the error vector and the error…

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Q: Use a graphing utility to graph the function and find the absolute extrema of the function on the…

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Q: Use Stokes's Theorem to evaluate F. dr. Use a computer algebra system to verify your results. In…

A: Here,  g(x,y)=49-x2G(x,y,z)=z-g(x,y)

Q: 5 1 1o ( 125 + 25x + 8) dx 6 1 X So (1 + x²)³dx 3 1 √ dx 1+x²

A: Given :∫05x2125+125x+e6dx∫01x1+x23dx∫11+x2dx

Q: Evaluate the following integral: 4 Po√250 e(x² +1) dxdy

A: Given integral:- ∫02∫2y4ex2+1dxdy

Q: At x = 2, the slope of the curve y = 2x3

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Q: 24. Differentiate each of the following with respect to x. Simplify fully when indicated 1 (a)_y=x²³…

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Q: A population of 480 bacteria is introduced into a culture and grows in number according to the…

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Q: Calculus II

A: The given sequences, a) an=(-1)nn4b) an=lnn32nc) an=n-knn,  k is a positive constant.

Q: mine the area of the given region. y = x + sin x 4 X 4 A 3 2- +

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Q: Evaluate the integral using the following values. [x³ dx = 320, ["x dx = 15, ["dx-4 = dx

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Q: Consider the following. Differential Equation dy=-10xy dx (a) Use Euler's Method with a step size of…

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Q: -4 Challenge #3 y = 1·3x 16 Adjust the equation so the exponential function passes through the…

A: Topic- exponential function

Q: Four functions are given below. Perform the indicated compositions to determine which functions are…

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Q: Tutorial Exercise Find the derivative by the limit process. f(x) = 14 - x² Step 1 Complete the…

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Q: Find the domain of the function in interval notation  g(x)= x/ x^2-49

A: We need to find out the domain of the function given.

Q: Evaluate the indefinite integral: [ 10 10e¹x cos(2x) dx

A: We will use simple Integration rules to solve this question.

Q: x+1, x < 4 Let f(x) = x-4, x ≥4 Explain why f is (or is not) continuous at x = 4. Explain why f is…

A: Topic:- calculus

Q: Suppose the Maclaurin series of a function is f(x)=2+3x+2x² + x³ + x² + .. Find the first four…

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Q: etric identity. (Write your answer as a function of s.)

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Q: 24. g(t) = t³ + 4t

A: Solution: g(t)=t3+4t The derivative of g(t) with respect to t is defined as limh→0f(g+h)-f(g)h

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

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Q: Consider the following function. f(x) = |x-7| Find the derivative from the left at x = 7. If it does…

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Q: Sandy's main house is a hemispherical glass dome with diameter of 8m. Suppose that the glass is m…

A: NOTE: Refresh your page if you can't see any equations. . the diameter of the hemisphere is 8 m so…

Q: 11. A rubber ball is dropped from a height of 5 feet and bounces to 1/3 of its height after each…

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Q: dy Find the complete solution of 2 + 4y = 1 dx

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Q: O a) 10 b) 29 Oc) 17 d) 13 Oe) 1

A: Topic:- calculus

Q: Evaluate the following integral: sos X 1 +1 d dydx

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Q: Evaluate: £{sinh√√bt}= Blank 1 Blank 1 Add your answer

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Q: 4 F(s) = 3s7 (s²+3)

A: First to find the partial fraction decomposition of the function: F(s)=43s7(s2+3) For that let,…

Q: F(s) = 2 (3s-2)(2S-1)(3s+2)

A:

Q: Verify the Divergence Theorem by evaluating F.NO N ds as a surface integral and as a triple…

A: To verify the divergence theorem. And to evaluate the surface integral.