1 -X h) limex-é е X-0 Sin 2X Using L'Hospital's Rule

Q: Problem 2. Find the following limits. (c) lim x 0 x (d) lim x48 x³ arctanr el/a - 1 1/x

A: Here is the solution:

Q: intercepts. f(x) = (x + 1)²(x-4)²(z - 6)

A: Topic = Functions

Q: What is the correct form of the partial fraction decomposition for the following integral? x² +1 √(x…

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Q: 9. We know that 1 ² = n(n+1)(2n+1). Use it to determine the following 26 Σ₁² i=6

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Q: 2) Find the exact value of sin-¹ (sin 9T 8 .You must show all your work.

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Q: #Solve the following IVP x= x+y y = -6x+6y y(0)=18 Then find x(0.25) to at least the nearest…

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Q: A patient's pulse measures 63 beats per minute, 71 beats per minute, and then 115 beats per minute.…

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Q: What value of 6 would give the following function f(x) = x³ + bx² − 3x + C a critical point at x =…

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Q: -10 -8 -6 Answer: f(x) = -4 2 -200 160 120 80 40 -40 -80 -120 -160 -200 2 4 8 10 X Submit Answer…

A: Given query is to find the function of the graph.

Q: Find the derivative of ?(?)=32?3+14?2+2?+1f(x)=32x3+14x2+2x+1 where ?=2x=2.

A: given f(x)=32x3+14x2+2x+1

Q: The polynomial of degree 3, P(x), has a root of multiplicity of 2 at x = 1 and a root at x =…

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

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Q: 2. Use the Comparison Test to determine if the integral below is convergent or divergent (Hint: use…

A: The objective of the question checking the convergence or divergence of the given improve integral.

Q: Find the general solution of the given differential equation: Oy Inic(1+x) = 1 Oy Injc(1-x) = 1 O…

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Q: Oct 26, 8:38:14 PM Write a function in any form that would match the graph -10 -8 -6 Answer: f(x) =…

A: We have to write the function from the given graph of the function f(x).

Q: Which of the following integrals is the area between the graph of f(x) and the y-axis from b to c…

A: Given graph:-

Q: QUESTION 16 A line integral in two dimensions may be written as F(x, y)dw. What does (i) F(x, y),…

A: We need to tell about the line integrals in 2 dimensions. Line integrals appear as one of 2 kinds As…

Q: Indicate all critical points on the graph of f in the figure below and determine which correspond to…

A: Need to write down the critical points.

Q: ху 1-23 y =

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Q: -5 -4 -3 -2 -1 4 3 2 -1 -2 -3 -4 < X < 1 2 3 4 5 The function graphed above is decreasing on the…

A: Here we have to study the graph.

Q: If f(x) = (3x + 5)¯², find ƒ'(x). Find ƒʼ(2).

A: As we know that: The Chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1   The given function is:…

Q: Write a polynomial with leading coefficient 1, degree 5, zeros at x=i and x=2−i, that passes through…

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Q: π 5) Find the exact value of sec- 8

A: Consider  secπ8   Formula  secx=1cosx

Q: Find an equation of the tangent plane to the given surface at the specified point. 4x² - y² + 5y,…

A: SOLUTION-

Q: A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 2300 yd…

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Q: 4. Sketch the graph of a function that is continuous and differentiable everywhere and also…

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Q: 7–46 Find the derivative of the function. 38. y = sin(t + cos √t)

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Q: Given the function g(x) = 8x³ − 108x² + 480x, find the first derivative, g'(x). g'(x) = Notice that…

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Q: Solve for the particular solution of the given IVP: Q y^(-3) = 9/5x^(-1) - (49/5)x^(-6) Oy^(-3) =…

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Q: 3. The score of a test given as a percentage is given by S(t) = 50+ 14ln(t + 1), where t s equal to…

A: given s(t)=50+14ln(t+1) here  s(t)=score of test as a percentage t=hours a student studied for the…

Q: Given the function y = Select one alternative: dy dx dy dx dy dx dy f(g(x)) h(x) which of the…

A: Solve the given

Q: Given the table for f(x) and g(x) below, find the following: f(x) g(x) 2 1 6 4 5 5 7 0 1 2 m K 5 LD…

A: Given a real valued function fx. Then, the average rate of change of fx as x changes from x=a to…

Q: Given the function f(x) = x³ + 3x² − 45x + 8 over the interval -10 ≤ x ≤ 5, answer the following…

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Q: tim x →1 x 3x+2

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Q: A model for the yield Y(N) of an agricultural crop is a function of the nitrogen level N in the…

A: Given query is to find the nitrogen level for maximum yield.

Q: 33 What value of 6 would give the following function f(x) = x³ + bx² − 5x + C Select one…

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Q: find the slope of the curve at the indicated point. Y= -6x-6, x=3

A: Given query is to find the slope of the curve.

Q: Drum Tight Containers is designing an open-top, square-based, rectangular box that will have a…

A: dimension of the box

Q: 2x x²-1 For #5-12, f(x) = 5. Find all x-intercepts (also called zeros or roots) of f 6. Use a test…

A: Note:as students asked 11 and 12 only so i have solved this question.

Q: QUESTION 5 Given f(x,y) dA, where D is the region bounded by y = 2x² and y = 1 + x². Determine and…

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Q: Given the function f(x) 3x³ - 18x² a product of linear factors with integers. f(x) = = - 75x - 54,…

A: We have to find out

Q: 6х3 + 2х2 +22х X 2х2 +5

A: Divide the leading term of the dividend by the leading term of the divisor

Q: dy da An equation of a curve is given by x ln y + y = 1. Which one of the following is Select one…

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Q: What value of  b  would give the following function  f(x)=x3+bx2−3x+C  a critical point at  x=−3…

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Q: The form of the partial fraction decomposition of a rational function is given below. A B = Now…

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Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 3 -…

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Q: Write a function in any form that would match the graph shown below. -10 -8 -6 Answer: f(x) = 4 2 50…

A: Given query is to find the function of the graph.

Q: For which of the points on the curve x² + y² - 4 = 0 does the slope of the tangent not exist? Select…

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Q: 1 The graph of y² = x³ is called a semicubal parabola. Determine the constant b so that y=-3x+b…

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Q: Write an equation for the polynomial graphed below. You can leave the function in factored form. 4 3…

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