Question 1 Find lim f(x) given the graph of f(x) shown below. x-5 +++ -10-9-8-7- Y 3 4 5 6 7 9 10 x

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Q: 2. Consider the parallelogram ABCD where A(0,1,2), B(1,2,3), and C(0,3,5). [2] a) Find the…

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Q: Using logarithmic differentiation, find the derivative of e-3x √√2x-5 (6-524 f(x) =

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Q: The regions A, B, C, and D in the figure below are bounded by the graph of the function f and the…

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Q: 6. a) State why the limit of f(x) = √5x - 1 does not exist for x

A: Please refer to the image below

Q: SEND IN 20 MINUTES PLEASE !!!! Find all extreme points (maxima, minima, saddle points) of…

A: Extreme points of the function fx, y=2x3 + 2y3 - 9x2 +3y2 - 12y

Q: MATH401 Question 3|- functions and numbers A. Prove that cos-¹(-x) = π cos-¹(x) for any real number…

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Q: Evaluate the Integral using the following values. [°x³ dx = 260, [°x dx = 10, [°dx = 2 [°(22-7x-x²)…

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Q: The function f is shown below. What is the value of answer in simplest form. -10-9-8 -7 -6 -5 -4 -3…

A: This question is related to definite integration, we will solve it using given information.

Q: If u = sin® 3 - x 2 find Ou Əx Ou and ह Hence show that 2 Ou 1 y x 3 –x dy Ou = 0

A: Given u=sin-13-xy2

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Q: If C(x) = n=0 ∞ n=0 2n + 1 2n + 2 2n ²n and S(x) = ∞2n+2 2n + 3 n=0 -x²n+ find the power series of…

A: The given power series, Cx=∑n=0∞2n+12n+2x2n and Sx=∑n=0∞2n+22n+3x2n+1

Q: Find the limit. x²y lim (x,y) → (0,0) x² + 8y²

A: limx, y→0, 0x2yx2+8y2

Q: Assume that the shape of the athlete's high-jump is parabolic. the function, in vertex form, where…

A: The axis of symmetry is t = 0.6 and the maximum height is 1.80 mhence the vertex is  (0.6, 1.80)

Q: 5. Let f(x,y) = x² + xy + y² be a function on the domain D = {(x,y) = R²: x¹ + y ≤ 8 and y ≥ 9}. a)…

A: Given fx, y=x2+xy+y2 Domain D=x, y∈R2; x4+y4≤8 and y≥9

Q: 1.1: If y2 = x² + 2xy, then dy y+x dx a) y-x b) 2x + 2y x+1 c) y d) - x corre None of the above ||

A: Given y2=x2+2xy

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Q: 9x²-4 :) Tax² ² (x² − 4)(x²+4) dx

A: Topic:- application of integration

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Q: What form of the particular solution is appropriate for the differential equationy'' - y'=4+4e*.

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Q: If f(x) = (t + 3)e' dt, on what interval is f increasing? (Justify your answer)

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Q: Find the limit of s(n) as n → ∞. [n(n + 1)] 2 s(n) 1 [n(n n²

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Q: 7. Find: y = In dx √6x-5 [ Lex (x+1)³.

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A: Given: rt= cost i + et j + t2 k

Q: 1. Find the derivative function for the following using the power rule: a) f(x) = x¹² b) y = 8x³ -…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

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A: We need to find vector.

Q: Let f(x) = 10x + 12 - 9e. Then the equation of the tangent line to the graph of f(x) at the point…

A: given f(x)=10x+12-9ex

Q: Convert x2+y2= 26 to an equation in polar coordinates in terms of ? and ?.

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Q: O Use 1st and 2nd derivatives, sketch the graph of given function 2x x² - 1 f(x) =

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Q: 5. (a) Suppose a particle moves along a trajectory given by the vvf r(t). If its veloc- ity and…

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Q: Find the linearization of the function f (x) = x³ at x = 1. L(x) = Using this linearlization, ƒ…

A: Answer is in next step.

Q: The regions A, B, C, D, E, and F in the figure below are bounded by the graph of the function f and…

A: Topic -Definite integral In definite integral, Area below x-axis is considered as negative.

Q: Find the tangent plane to the equation z = - 3x² + 2y² + 4y at the point (4, 1, - 42). 2 = Check…

A: I am attaching image so that you understand each and every step.

Q: Use cylindrical coordinates to calculate: Sw(x² + y²) dV = [[[_x² + y²³ av W: x² + y² ≤64, 0≤ z ≤ 16

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Q: Evaluate the indefinite integral. 2x - 3 (2x² - 6x + 6)² dx + C

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Q: 8. What is the domain and range of the following relation? y=x²-2x-3 y 5 8 X

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Q: Evaluate J 2xz dV where E = E Round your answer to four decimal places. {(x, y, z) | 2 ≤ x ≤ 5, x ≤…

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Q: 10. Evaluate f(x) = 10-4x for f(3). a) 23 b) 2 c) 22 d) -2

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Q: The regions A, B, C, and D in the figure below are bounded by the graph of the function f and the…

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Q: xy - Y lim(x,y)→(1,0) (x − 1)² + y²

A: Please see the below picture for detailed solution.

Q: 12. What transformations are applied to the parent function f(x) = x² to obtain the graph of the…

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