Use tables to determine if x²+x-12 exists. If it exists state the value of the limit. lim x→+3 x-3

Q: Q4A)Find area bounded by y = 0, y =√x-x² using double integration.

A: In this question, we want to find the area bounded by the given curves.

Q: Solve the differential equation: dx dy + x = e-y.sec²y

A: Here we have to solve the differential equation.

Q: ƒ(s) = 4s - 18 9-s² What function f(t) has Laplace transform: 5s (s - 2)² +

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Q: A utility pole has a guy-wire attached to it 3 feet from the top of the pole. The wire is attached…

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Q: Find the directional derivative of f(x, y) = x² - 2xy at the point (1, -2) in the direction from…

A: directional derivatives

Q: 1. Find the length s of the circular arc. (Assume r = 9 and ? = 114°.) s = _____ (not 33.74,…

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Q: Evaluate x/10 Than S 11√1+ cos 10x dx. 0

A: We know that integration of cosx is sinx +C . And trigonometry relation is - Cos2x = cos2x - sin2x =…

Q: If g(x, y) = x² + y² 6x, find the gradient vector Vg(1, 6). Vg(1, 6) = -4,12 Use the gradient vector…

A: Given that , gx,y=x2+y2-6x find the gradient vector ∇g1,6 and tangent line to the level curve…

Q: B)Is w = Zez analytical function or not?

A: In this question, we want to know whether the given function is analytic or not.

Q: the complex number 6√3+6i in polar form O 12(cos(n/6)+isin(n/6) O 12(cos(n/4)+isin(n/4) O…

A: As we know that; The complex number z=a+ib can be written as polar form; z=rcosθ+isinθ Where;…

Q: If f³ f (x) dx = 6 and ſ ƒ(x)dx = 4, then ſ5 (3 + 2ƒ(x))dx : = 35 10 23 20

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Q: Proceed as in this example to find the solution of the given initial-value problem. Evaluate the…

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Q: Consider the graph of y = f(x) shown below in blue. Find the open interval(s) where f'(x) is…

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Q: Evaluate the following integral. 48x² S dx (x-15)(x+5)²

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

Q: Suppose that Mark is flying a kite with the string tied to his glasses (so that it’s easy to measure…

A: To find how far above the ground the kite is flying.

Q: Find the general solution of the differential equation y" 10y +34y = 0. NOTE: Use cy and ca as…

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Q: Lets a real constant such that s ≥ 0 in the process of calculating = 1,500 3.1 di you get: O a) I =…

A: s real constant such that s≥0I=∫1+∞x-3.x-sdx

Q: Find (f+g)(x) and identify the graph of f+g. f(x)=x² and g(x) = 5 Part: 0/2 Part 1 of 2 (f+g)(x) =…

A: As per our company guidelines we can answer only one question at a time so if you need more answers…

Q: B)Prove (cose + i sine)" = cosne + i sin ne

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Q: 5. Calculate the area between the Curve fex) = 4-x² and y = 4, y = 2x_4? 20 GMS: S-U 3

A: To find the area bounded by the curves f(x)=4-x2, y=4, y=2x-4. The region bounded by the curves is:

Q: Find the volume of the region that lies below the parabola y2 = x and above the x-axis the interval…

A: Given curves is y2=x

Q: B)Is w = Zez analytical function or not?

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Q: Evaluate lim x - 4 3 O O 3 1. 4 3 2 3 (2x + 1)² 3x² + 8x - 3

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Q: 1 1² +49 When solving O a) I = [sen (0) de Ob) I=tan(0)de O c) I = cos(0)de I= O d) I-sec(0)de I=…

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Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

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Q: S 2³x dx = 0 23x+1 3x+1 23x In 2 O O O + C + C 23x + C In 8 2³x In 2 + C

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Q: B)Is w Zez analytical function or not? =

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Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

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Q: Evaluate x/12 0 14√/1- cos 12x dx.

A: Given, ∫0π4141-cos12xdx

Q: dx 5 - 2x Evaluate: S O2 ln |5-2x + C -2 + C 5-2x O -1 2(5-2x) + C On 15 - 2x + C

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Q: B. Given that f(x) = {(-2,1), (1,4), (2,5), (3,6)} g(x) = 6 + 4x h(x) = -x² + 2 2. 2h(3)+g[f(-2)]…

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Q: Using the Inverse Function Theorem, what is (-1) (8) given that (x) = √6x-2? Note that (11)= 8. (Do…

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Q: dx dt 4x + y dy x + 2y dt a) Find the general solution for x(t) and y(t) b) Solve the initial value…

A: Given that,

Q: The plot below represents the function f(x) 8+ 7 4 5 6 5 4 3 2 1 -5 -4 -3 -2 -1 -1 1-24 Evaluate…

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Q: von ² moren notional a from x = 1 to x = 2 8 y = ln x -

A: Given :y=lnx-x28

Q: Question 8 Find the partial derivative of z with respect to x None of the choices dz (2r−y) да…

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Q: Find the general solution of the following differential equation. y" + 14y' + 50y = 0 NOTE: Use C₁,…

A: The given differential equation is: y''+14y'+50y=0   We can also write as; D2+14D+50y=0 So, The…

Q: f(x) dx = 4 and 0 1₂ 2 +S²g(x)dx? 3 f(x) dx + -2 10 2 g(x) dx = 6, what is

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Q: limg-0 2x sinx 4-4cosx

A: We can find the limit as below, using L'Hospital rule.

Q: 1(3). If f(x) = 2 cos x + x³, find 06 2 4 8

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Q: Question -3x-13 Given that s(x) = find (s-¹)'(8) using the I x+8 Inverse Function Theorem. Note that…

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Q: Use the chain rule to find dz/t. z = x² + y² + xy, x = sint, y = et

A: Here we will find dz/dt,

Q: Show if the sequence converges or diverges using  L'Hôpital's rule…

A: A sequence is said to be converge if its limit  exists, otherwise diverges.L'Hospital rule:- If…

Q: Fill in the blanks: 2² + 1 The equation describes an ellipse. The volume of the solid obtained by…

A: We need to find volume.

Q: Q3A)Find normal line and parallel plane to the function f(x, y, z)=x²y²z²-4 At point (1,-1,2).

A: To find normal line and parallel plane to the function fx, y, z=x2y2z2-4 at point 1, -1, 2.

Q: Find the area between f(x)=x²-12 and the x-axis from x = 0 and x = 2. The area is square units. ...

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Q: Question 6 Given: f (x, y, z) = cos(xyz) + ln x5 - sinh y² + 3z Find: af(x, y, z) дz at P(-1, 3, 0)…

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Q: The length of an astroid The graph of the equation x2/3 + y2/3= 1 is one of a family of curves…

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Q: Find the point on the curve y = (x − 8)² +9 at which the curvature K is a maximum.

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Q: If f is the function given by ƒ(x) = √²* √t² — t dt, then ƒ' (2) = 7 a. 2√12 b. √2 c. √12 d. 2√12 B…

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