Evaluate the limits:  lim x→−2− 3x^2+7x+2 / x^2−4

Q: use a midpoint Reimamm sum with four subintervals to approximate the area under f(x) = 4/x on [3,5

A: To approximate area under given curve using mid point riemann sum.

Q: whats the imaginary part 2 − 4i

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Q: 7. f(¹) where f(x) = *-1 x

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Q: mmas: 5 4- 3 54 -3 -2 -1 2 1 7 -2 -3 بنا the equations of the ver 2 3 4

A: We know x=L is the vertical asymptote of a function y=f(x) if the limit of the function (one-sided)…

Q: 3. Find the points of discontinuity and describe the type of discontinuity at each point. f(x) = x-1…

A: Given that                  f(x) = (x - 1)/(x(x - 1)(x + 2)) denominator is x(x-1)(x+2) that is zero…

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A: Concept: Inequality: All the guidelines you need to be aware of when performing operations on…

Q: The graph below is the function f(x) -5 -4 -3 -2 -2 As * → a 4 3 2 1 -2 -3 -4 -5+ I 2 3 Determine…

A: Topic of given question - Continuity and limit

Q: (a) Find the point at y = x³ + x, if the slope is equal to 4. Then find the equation of tangent…

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Q: Compute the indicated value of the given function 1. f(x) = 3x + 5; ƒ(0), f(-1), f(2) 2. f(t) = (2t…

A: Function

Q: So 1 x²+7x+10 A. B. C. D. 3ln 2-ln 2 3 3ln 2+ln 2 3 3ln 2-ln 2 5 3ln 3-ln 2 3 dx

A: The given integral, ∫011x2+7x+10dx use the integral formula, ∫dxx=ln x+C

Q: Find the domain and range of the function graphed below

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Q: 3. If the derivatives of h with respect to U; for h=²u

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Q: 1. Eliminate the arbitrary constant. y² = 4C (x + C) 2. Obtain the general solution. (Let 2C=C) (4x…

A: As per policy only first question is answered. Please refer to the image below

Q: Find the constant a such that the function is continuous on the entire real line. 9x², ax - 3, a = x…

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Q: Find the domain of each function. (Enter your answers using interval notation.) (a) f(x) (b) f(x)

A: Topic- Domain of a function

Q: x²y = 1 + cx

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Q: Use the binomial series to find the Maclaurin series for the function. 00 f(x) = Σ n = 0 f(x) = 1 (1…

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Q: Find the DE of a family of circles with center at (1, -2). Hint: Equation of circle with center…

A: Let's find diffrential equation.

Q: How many cups tall is the Blue Trophy ? Show a clear path to your solution. Making a Table and a…

A: Given- Trophy is 51.6 CM1 Cup is 9.5 CM2 Cups is 10 CM3 Cups 10.8 CM4 Cups 11.4 CM To find- How many…

Q: Find the limit: limx→ −3 x^2−9/ 2x^2+3x−9

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Q: 3 Evaluate Inverse Matrix A-¹ = −1 2 1 2 2-1 1 1

A: The given matrix A-1=312-12-1211 we have to find the inverse matrix of A-1. Inverse of an matrix:…

Q: Let A(z) represent the area bounded by the graph, the horizontal axis, and the vertical lines at t =…

A: Topic-Area bounded by curves

Q: Find the DE of each of the following by eliminating arbitrary constants. Reduce your final answer in…

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Q: 4 1

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Q: QY == Given f(x) = (hog|(x), and f(1) = 2/'`(1) 9 (²) = g(1) f = - Find (gof) (1) in simplest form :

A: Given- Given fx = h∘gx, and f1 = 2f'1 = g1 = -g'1 To find- Find g∘f'1 in simplest form.

Q: 2. a) Use limits to find the derivative of the following function at the point a = 6. g(x) = √3x - 2…

A: Derivative using limit and tangent to line

Q: Find the maximal value for delta>0  such that, for all x,  if 2<x<2+delta , then square root of x -…

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Q: 4. Find the value of that makes the function continuous. f(x) = {a√x + 1 {a√x + 1 x ≥1} - a x<1)

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Q: Let if x < 1 f(x) = {(x - 2)² [x² + 1 [(x - 2)² if x = 1 (a) Find limx→- f(x) and limx→+ f(x). (b)…

A: Given: For (a), limx→ 1-x2+1Plug in the value x=1=12+1=2limx→ 1+x-22Plug in the value x=1=1-22=1

Q: [-1 -1 Using Doolittles method for the following matrix A = 0 L-2 -2 L - matrix and U - matrix. 2 11…

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Q: Find an equation of the tangent line to the graph of the function at the point (0,1). (a) y = ex…

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Q: 1. Perform the indicated operation and 2+3i (1) 4-2i a. 2 b. (- 1 + √√-3) (1)

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Q: Find the Differential Equation for: The family of parabolas with center at origin and foci on the…

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Q: Q2: Find dy/dx for the following functions:- (1) y = x³ Inx (2) y=√sinh √tan x (4) y=u=3x²-2 (3) 4x²…

A: As per guidelines we can answer only three subpart questions at a time, so if you need more answers…

Q: Sylvia conducts an experiment using two long pieces of a cord and a spherical ball that has been cut…

A: Given- Sylvia conducts an experiment using two long pieces of a cord and a spherical ball that has…

Q: feature

A: Please refer to the image below

Q: 4 3 1 -1 -2 -3. -5 п/2 25 3п/2 2п

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Q: Let f(x) = 5x + 4. Determine (ƒoƒoƒ)(x). (fofof)(x)

A: Given fog=hx=1x-7 and gx=x-7To find : fxSolution :fog=hxfgx=hxfx-7=1x-7let, x-7=tft=1treplace…

Q: Refer to the images, then Choose all descriptions that apply of how the tank filling on Tuesday…

A: Given information Function for Monday:- Mx = 5 x3 Graph is   Function for Monday:- Tx = 5 x-153…

Q: Define R as the region bounded by the graphs of f(x) = 6x - 5x² and the x-axis. Which of the…

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Q: Find the arclength of the curve r(t) (6 sin t, 2t, 6 cost), -2 < t <2

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Q: 8. Let f(x)=x²/3. Answer the following: a) f(27) = c) f(-8)= e) f(x) = b) f(-1) = d) f(-81³₂6) = f)…

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Q: Find a vector parametrization of the circle of radius 5 in the xy-plane, centered at the origin,…

A: Solution: Given, Circle having center at (0, 0) and radius is 5 and

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim 7 cot(x) X-R

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Q: Q3) (E.G.) If BAC is an angle such that B=(1,2,3) and E=(2,1,3) are belonging to one side of the…

A: According to the Bartleby guidelines, I'm answering the first question for you. Please re-post the…

Q: Complete the table below. Assume ƒ and g are one-to-one functions. x -10 6 g(x) (fog)(x) (gof)(x) 7…

A: We have to fill up the table

Q: Find the arc length of the function y = x2 + x - 2  on the interval [-2,1].

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Q: Q1A)The vectors A = 3i+j+ 4k, B = 2i - 3j-k, find vector normal to A and In plane of A and, B.

A: The given vectors A=3i+j+4k, B=2i-3j-k we have to find the vector normal to A and in plane of A and…

Q: 5 4 3 1 -1 -2 -3 -4 -5 п/2 П 3п/2 +X 27 Q

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Q: Which of the following is the differential equation of the family of circles with center at (3, 2)…

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