1. Find the numbers for x where the function below is not continuous. Explain what type of discontinuity (if any) is present. A

Q: Evaluate the integral. (Assume a b. Remember to use absolute values where appropriate. Use for the…

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Q: lim 1-26 2 (2 + 3n-4n²) (1-2n + 3n²)

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Q: = [₁ rx Let I= f(x) dx, where fis the function whose graph is shown. y 12 8 4 1 2 (a) Use the graph…

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Q: 2 ver portion cut from the sphere x² + y² + z² = 4 by the cone z = 0 and v= and use spherical…

A: We are asked to find the surface area of the portion.

Q: Given f(x) below, find f'(x). Provide your answer below: f'(x) = = sin(x) f(x) = to dt

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Q: Use the Green's Theorem area formula, shown below, to find the area of the region enclosed by the…

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Q: The piecewise function f(x) is graphed below. Use the graph to find the average value of the…

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Q: y=In(sin z³) 18. a. 3z cot z³ b. z² cot z³ c. 3z² tan z³ d. 3z² cot z³

A: Here, the given function is: y=ln(sin x3) Note that, ddx(ln x)=1x , ddx(sin x)=cos x and…

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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Q: 11. Find the linear approximation of f(x) = √√x_ at a = 1. Use the linearization to estimate the…

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Q: For the polynomial below, -2 is a zero. f(x)=x² - 4x² - 6x + 12 Express f(x) as a product of linear…

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Q: To evaluate the integral 1 3 √100+ x² -dx. which of the following substitution should be used?…

A: Consider the integral  ∫3100+x2dx

Q: X-7/7x+1 find the concave upward and downward

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Q: Find the area inside one loop of the lemniscate r² = 2 sin 20. The area inside one loop of the…

A: Area of a closed region in polar coordinate is given by A=∬rdrdθ see below the answer and…

Q: For the given functions f(x) (1) (fog)(x) = (2) (gof)(x) = (3) (ƒ ○ f)(x) = (4) (gog)(x) = = 8x + 5,…

A: Let's find all given function.

Q: A car sharing service offers a membership plan with a $40 per month fee that includes 10 hours of…

A: Cost of membership plan = $40 Let No.of driving hours = x

Q: The graph of a quadratic function with vertex (2, -1) is shown in the figure below. Find the domain…

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Q: (a) Give the definition of line integral of a vector field over a path. (b) Compute the line…

A: Use line integral concept

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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Q: The slope of the tangent line to the curve at the point where x = O +1 -1 DNE f(x) = sin² x cos²x

A: The slope of the tangent line to the curve  y = f(x) at the point x= k is f '(k)

Q: Calculate the first three partial sums of the series. S₁ S N' 11 = S3 = Σ n = 1 n+4 Use the sequence…

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Q: Determine if the sequence {a} converges or diverges. Find the limit if the sequence converges. a =…

A: To find if the given sequence is convergent or divergent.

Q: 5 CH 10.3 Class Determine whether the conversand arguil Exeresse I > + Σ following Series divergend.…

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Q: (i) Determine whether or not F is a conservative vector field. F(x, y, z) = ei + (xe³ + e²) j+ ye³k

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Q: Find the equation of the tangent line to the graph f(x)=x^4 +2x^2 -x at x=1. Write your equation in…

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Q: Find the moment of inertia about the x-axis of a thin plate with density 8=1 bounded by the circle…

A: Given: The density of the plate =1 The plate is bounded by the circle =x2+y2=16

Q: Use logarithmic differentiation to find dy dx y=x√x² +1 note x > 0

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Q: The graph of fis shown in the figure. The shaded region A has an area of 5.5, and #fºr f(x) dx =…

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Q: The radius of a sphere is decreasing at a rate of 1/4 cm/s. At what rate is the volume decreasing if…

A: The radius of a sphere is decreasing at a rate of 14cm/s.The radius is 2cm.

Q: Alexandra invested $1,100 at the end of every month into an investment fund that was earning…

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Q: 8. Find the limit (if it exists) of the sequence (x_n) where x_n= [1+(1/n)]^n.

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Q: Given compute the following integral. Provide your answer below: f(f(x) + g(x)) dx = I'rox f(x) dx =…

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Q: (a) State a necessary condition for a vector field to be a gradient. (b) Determine if the vector…

A: (a)

Q: Solve for (a)(ii)

A: Solution:∫π2πsin42x1-sin2x32dx∫π2π24sin4xcos4xcos2x32dx∫π2π24sin4xcos4xcosx3dx∫π2π24sin4xcos4x-cosx3…

Q: Find a formula for the inverse of the function. f(x)=2-3x3

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Q: Use the four-step process to find f'(x) and then find f'(1), f'(2), and f'(3). f(x) = 5 f'(x) =…

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Q: Find the Cartesian coordinates of the following points (given in polar coordinates). a. (4,0) b.…

A: Since you have posted question with multiparts questions. As per guidelines we"ll solve only first…

Q: Use a graphing utility to complete the table and estimate the limit as x approaches infinity. Then…

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Q: Consider the system of differential equations x₁ = 9/2x1 + 1/2x2 x2 = -5/2x1 + 7/2x2 Our goal is…

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Q: What amount increased by 180% is $32.56? $18.09 $91.17 $12.45 $11.63 $180.89 4

A: what amount increased by 180% is $32.56

Q: Let "r" and "h" be the radius and height, respectively, of the right circular cylinder of maximum…

A: Let's find value of r + h.

Q: In the graph to the right, the equation of the parabola is x = the area of the shaded region in the…

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Q: √x dt 1+t² 2 em moves along a coordinate axis al ith velocity v(t) = 2t² -1 meters econd. Find the…

A: Topic:- calculus

Q: Consider the function f(x)=√x+1-5 for the domain [- Find f(x), where f¹ is the inverse of f. Also…

A: NOTE: Refresh your page if you can't see any equations. . substitute y for f(x)

Q: 7/5 Find f'(x) if f(x)=9x5-5x² + 10000. O A. f'(x) = 63x6/5 - 10x 6/5 B. f'(x) = 63³x6 O c. f'(x) =…

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Q: Evaluate the integral. (Assume a b. Remember to use absolute values where appropriate. Use C for the…

A: Given ∫4(x+a)(x+b)dxTo evaluate the integral:

Q: Given that lim f(x) = -7 and lim g(x) = 6, find the following limit. X-3 X-3 lim X-3 2-f(x) x+ g(x)…

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Q: Given the vector function - r(t) = (t²- 4t)i + sin(2t − 4)3 + ( + ) Find the derivative of r(t). a)…

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Q: Determine the limit of the sequence or show that the sequence diverges. If it converges, find its…

A: we have to check sequence is convergent or divergent.