Find the limits. f(x) = x + 2 g(x) = x² (a) lim_ f(x) = (b) (c) X-5 lim g(x) = X-0 lim g(f(x)) =

Q: Find the area of the surface given by z = f(x, y)  that lies above the region R. f(x, y) = 13 + 9x…

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Q: Find all solutions of the equation in the interval [0,2π) (hint: isolate the trig function then draw…

A: Given, tan^2(x)−3=0

Q: Determine whether the following statement is true or false. — [√³] = √f'(x). dx If y = f(x), then

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Q: For f(x, y) = cos(xy²), which of the followings is true? O fr = fy O fxy = fyx O frr = fyy O fryr =…

A: The given function is fx,y=cosxy2

Q: owing chart shows the (approximate) total number of subprime home mortgages in a state in November…

A: Please refer to the image below

Q: Determine the area bounded by the curves y = ex, y=x²-1, x=-1, and x = 1. (A) 3.68 square units; (B)…

A: The region is bounded by the curves y=ex, y=x2-1, x=-1 and x=1

Q: 10. Solve 3log x= log 512-log 8

A: To slove 3logx=log512-log8

Q: 3. Apply the root test to determine whether or not the series converges conditionally, converges…

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Q: Solve for æ in terms of k. log5 x + log5 (x + 6) = k. g₂ (x² + 1) - you might be using an incorrect…

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Q: SOLVE THE FOLLOWING HOMOGENOUS LINEAR DIFFERENTIAL EQ TACHY 1. (D³ - 5D² + 3D + 9)y = 0 2 (D3 D2 1

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Q: ii) Find the exact area of the surface obtained by rotating the curve y = x³ + 1 ≤ x ≤ 2, 1 3 12x 9

A: Use Area of surface  formula.

Q: Find the transition points. -x)1/3 f(x) = x(17 –) (Use symbolic notation and fractions where needed.…

A: To solve the following problem of finding the transition point.

Q: etermine the total differential of the function, f(x, y, z) = 2x³ + 5y¹ − 6z Odf = 6x² dx + 20y³dy -…

A: Please refer to the image below

Q: Find all solutions of the equation in the interval [0,2π)[0,2π). (hint: isolate the trig function…

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Q: a) [ i) Find the exact length of the curve y = x³ + 12x 1≤x≤2

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Q: Suppose dt = and P(1) 4. Answer the following.

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Q: If the function f(x) is a quadratic function, then f(x) must open x-intercept(s). and have ii The…

A: If function f(x) is a quadratic equation, Then f(x) changes direction once.

Q: Use the given graph of f(x) to find the intervals on which f'(x) > 0. Q -5-4-3-2 25- 20- 15- 10- 5-…

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Q: (a) an = 5+7n² n+ 3n²

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Q: Consider the function f(x) = 2x³ - 6x² – 90x + 6 on the interval [ – 5, 9]. Find the average or mean…

A: Mean value theorem

Q: Question 9. A circular helix in ryz-space has the following parametric equations, where ER. I(0) = 4…

A: Given : x(θ)=4 cosθy(θ)=4sinθz(θ)=3θ

Q: . (D³ - D² - 4)y = 0

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Q: s+ Xh+ X 2² S dx ans 1. Y objut buisn

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: (a) Find the critical numbers of the function f(x) = x(x - 1)5. X = (smallest value) X = X = (b)…

A: NOTE: Refresh your page if you can't see any equations. . take derivative factor out

Q: Solve 2 cos² (x) - 3 cos(x) + 1 = 0 for all exact angles x where 0 < x < 2π x= Write answers in a…

A: Solution of given question is written in below steps.

Q: What is the derivative of f(x) = Select the correct answer below: O 4V/2 O 2012 3 O w/s O 16V/2 о 3…

A: Derivative of function f(x)=43x54 at x=4

Q: 27. A function on [0,2] defined by f(x) = -x² |5x – 4 4x³ - 3x (3x + 4 if x ≤ 0 if 0 < x≤ 1 1<x<2 if…

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Q: Consider the function f(x) = 4x² 6x +4, 0≤x≤ 8. The absolute maximum of f(x) (on the given interval)…

A: To find the absolute maximum and absolute minimum on the given interval.

Q: dx Assume that x = x(t) and y = y(t). Let y = x² +5 and dt dy Find when x = 1. dt (Simplify your…

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Q: The total world population is forecast to be P(t) = 0.00075+³ - 0.0693+²+0.88t +6.04 (0 ≤ t ≤ 10) in…

A: Find the value of t for which the population will be maximum.

Q: f(x) =l10x2 -4xI , g(x) = 9x - 6;Find (f ∘ g)(1).

A: This question can be solved using the concept of composition of function.

Q: Suppose that the position of a particle is given by s(t): 6t³ + 4t + 9. = (a) Find the velocity at…

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Q: Determine any planes that are parallel or identical. (Select all that apply.) P₁-120x +90y + 120z =…

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Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, -1). V = (0, 12) a= b =…

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Q: Specify the substitution you would choose to evaluate the integrals. S (t + 4) e²+8+1 dt Ou=t+4…

A: The given integral is ∫t+4et2+8t+1dt. We have to find substitution for the integral.

Q: Question 18 A curve has a slope of 2x and passes through (1,4). Find the area bounded by this curve…

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Q: Consider the following planes. 3x + 6y-z = 126 x - 12y + 2z = 0 (a) Find the angle between the two…

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Q: f(x)={-2x, X = x ≤ 4 x>4 x² - 8x + 5, Find the x-value at which f is not continuous. Is the…

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Q: 2. What is the degree of the function g(x)=-2x(2x-1)(x² + 1)²?

A: The given function is; g(x)=-2x(2x-1)(x2+1)2.

Q: The total sales of S (in thousands of DVD's) of a certain movie are given by the following formula…

A: Given  St=60t2t2+150

Q: Consider the following function. f(x) = x=4 Determine whether f(x) approaches ∞ or - as x approaches…

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Q: Consider the function f(x) = 5-7x², -3 ≤ x ≤ 2. The absolute maximum value is and this occurs at x =…

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Q: 3. State the remainder when f(x) = 2x² −x³ +1 is divided by (x+1).

A: We can find the remainder as below.

Q: Question 5 Find the area bounded by the parabola y² = 8x, the line y = x + 2, and the x-axis.

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Q: Name the type of basic curve that the following pair of equations represents: x = 2 cos(3t), y =…

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Q: sec²(x) √2-3tan (x) dx

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Q: The graph of the rational function f(z) is shown below. Using the graph, determine which of the…

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Q: Determine whether the vector field is conservative. F(x, y) = xe(x^2)3y(2yi + xj)   If it is, find…

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Q: a. Compute (se-³5 L-1 se s²+4, J.

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: a) cot()

A: