a. lim (3x - 5) x->-1 b.lim x² -9 xxxx²²-4x+3 2 x²-9 c.lim XX x² - 4x +3 2

Q: Find the equation for any horizontal asymptotes for the function below. f(x) = 5-8x+x² 4+5x+2x²2² CO…

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Q: Suppose s(t) = 12t2t² on the interval [ What is the distance traveled on [1, 5]? Ο Ο 08 O 10 O 16

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Q: Find the limit. (If an answer does not exist, enter DNE.) lim x → 3 x2 − 8x + 12 x − 3

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Q: Find product solutions of J² 2x² 4 Ju sy

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Q: Evaluate the following integral − − (x - 1)(x-2)(x − 3)

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Q: Find the surface area of the plane ( 15x-5z+20y=35) if it is in the first ? octant

A: Let's find surface area of given plane 15x-5z+20y=35 in the first octant.

Q: Let f(x,y) = xsin(xy), then fx(x,y) = O sin(xy) + x²cos(xy) O x²cos(xy) O sin(xy) + xycos(xy)…

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Q: H ( { (-1) n - (27-34 an-

A: solution:-∑n=1∞-1n2x-3n2n-1ratio test:-an=-1n2x-3n2n-1an+1=-1n+12x-3n+12nthe series will be…

Q: 3- The result of dot product between A=(2, 3, 1) and B=(-1, 5, 1) is: a) A. B=14 b) A. B=-34 c)…

A: 3.

Q: Solve the intial Value problem (IVP) 2t ý -by-Zy - 6e

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Q: x Cos y Q7. Let f(x, y) = ye ²x + Find fxyx (0,1). √√y² +1 dy dz Q8. If z = x² + 3y, x = sint and t²…

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Q: 3. ) Consider the function f(x, y) = 2r+y²-2²-2y. The critical points of f are (-1), (0, 1) and…

A: In this question, we need to classify each critical points using second derivative test.

Q: ou record the temperature every hour from midnight until 8:00a.m. You see that the temperatures (in…

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Q: Consider the function f(x) = vx and the point (4,2) on the graph f. (a) Graph fand the secant lines…

A: You must have idea about the graphs and secant of any function to understand it better.

Q: 7. S. 5x4x² 3 sin 2x y = 2 y = 4

A: Solution ) y = 25x .34x^2 Take log both side  log y = log ( 25x .34x^2 )  [ log m.n = log m + log n…

Q: i) The terminal arm of θ contains the point P(x,y) where P is on the unit circle. If sinθ = 1/2 and…

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Q: Solve the given initial-value problem by finding, as in Example 4 of Section 2.4, an appropriate…

A: Given problem:- Solve the given initial-value problem by finding, as in Example 4 of Section 2.4, an…

Q: Derivative of Y=tanxcosx

A: Given problem:- Derivative of Y=tanxcosx

Q: One number exceeds another by 1. The sum of the numbers is 73. What are the​ numbers?

A: Given data÷ One number exceeds another by 1. The sum of the numbers is 73.     Let assume that  One…

Q: B-The result of dy/dx for the following function is cos x y = 1+sin x

A: We have to find out derivative

Q: ng integral x -2)(x-3)

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Q: Sketch the graph of a function f that is continuous except for the stated values(s). Discontinuous,…

A: The function is discontinuous at x=3 and right continuous at x=3

Q: a. Create a table of signs for f' and f". Identify the intervals where the function is increas- ing…

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Q: 1 Consider the volume of the region shown below, which shows a right circular cone with top radius 2…

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Q: Find the indefinite integral. f(e¹ i + j + costk) dt O ei + tj sint k O ei + tj + sint k O e¹i +…

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Q: Cable AB passes over the small ideal pulley C without a change in its tension. What length of cable…

A: Solution

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A: We need to find values of m.

Q: B- for the function below, the domain and the range is respectively -2+√1-x (-∞0,00) & [-2,00)…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Solve the differential equation: dx ||

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Q: 4- compute dw dw дх' ду at the point (-2,3) if w = (2x + 3y - 1) ²

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Q: Q10. Consider the surface z = x²y + y - 2. At the point (2,1,3), find the following: 1) The equation…

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Q: 0 Question 5 サ lim f(x) does not exist. ✓ [Select] True False [Select] Find all z-values at which f…

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Q: (c) Graph f(x) = sinx, 0≤x≤ 2π and also graph f-¹(x).

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Q: Solve the first-order differential equation dydt=ay with the initial condition y(0)=5 Specify the…

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Q: 7 Find (x³ +2x) dx S. x²+4 None of the Above √√√√x² + 4(x³ - 2) + C √√√x² + 4(x² − 2) + C - O√√²-4…

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Q: The toll T charged for driving on a certain stretch of a toll road is $3 except during rush hours…

A: a) Given that, the toll T charged for driving on a certain stretch of a toll road is $3. The toll…

Q: Q5: Find the domain and range for the following functions A- for the function below, the domain and…

A: To find the domain and range for the function given below.y=x-2

Q: A- for the function below, the domain and the range is respectively y = |x|- 2

A: Topic = Functions

Q: What is the absolute max and min values of f(x)= x²ex on x€[-5,1]

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Q: Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.) lim…

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Q: 1) The area of the triangle whose vertices are the points P(1,0,2), Q(3,-1,3), and R(4,1,2). 2)…

A: To find the following equations of line , and area of a triangle.  Since you have posted a question…

Q: Use the given information to find f '(9). f(x) = 3g(x) + h(x) g(9) = -4 and g'(9) = -1 h(9) = -5 and…

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Q: C-the derivative is y = 0³ e 28 cos 50

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Q: Evaluate da √7²√7²-49) x>7, using a trigonometric substitution.

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Q: Use the given graph of the function to find the function information. (A) Intercepts (B) Vertex (C)…

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Q: 7.) fu) 0 GET THE EQUATION OF THE GRAPH 29 na a 7 49 59 ||(\:* 69

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Q: 7- The area of the (bounded) region between the line y = x quadrant is and the curve y = x² in the…

A: 7) The area of the region between the line y=x and y=x2 in the first quadrant. First we draw the…

Q: Consider a function f(x,y) that allows second partial derivatives, the derivatives for that function…

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Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all…

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