x² – 4 For the function f(x) =- x' +3x – 4 a) Find the equation of the vertical asymptote(s) b) Describe the behaviour of the function as x approaches these asymptote(s) from both sides.

Q: Evaluate the double integral over the given region. 4x sin xy dA, R: 0sxST, Osys1 R O A. 4x O B. 4x…

A: solution

Q: d.x | – 2x² + 1 b.

A: To evaluate: I=∫x5x4-2x2+13dx

Q: 32 RELATED RATES TUTORIAL 32 d0 when the angle is TC radian ? top of the ladder and the wall…

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Q: Integrate f(x.y,z) = x+ Vỹ - z° over the path from (0,0,0) to (1,1,1) given by C,: r(t) = t i+t°j, 0…

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Q: sorry, the numerator and denominator has been interchanged

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Q: B- Find the length of the curve given by the position vector r=, =r'i+(1+(1/3)x')j+(1-(1/3)')k for

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Q: Given the demand function D(p)=275−2p^2 Find the Elasticity of Demand at a price of $2

A: We have to find the elasticity of demand at price of $2.

Q: In what instance does the Chain Rule of differentiation applicable? Explain briefly.

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Q: In Exercises, the given vectors form a basis for a subspace W of R' or R'. Apply the Gram-Schmidt…

A: Inner product of two vectors in R3 is defined by       If x = ( u1, u2 , u3 ) &  y = ( v1 , v2 ,…

Q: 1. S7e*dx = 7et 2. S(5e* 6*)dx 3. § 3(5*)dx:

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Q: x2 – 2 (x + 2)(x + 1)² 2 + x +1 1. 2 + (x + 1)2 1 x +2 x +2 (x + 1)2 Option 1 Option 2 2 1 1 2 1 1 x…

A: partial fraction

Q: derivative(y

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Q: 1-y Q2: Evaluate fo y²(x² + y²)dx dy -1

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Q: (b) Find the values of a and b so that the function f(x) = x² + ax + b has a local maximum at the…

A: Given: We have the local maximum at the point (7, -6). So, we must have f'(7)=0. Here, f'(x) =…

Q: 4. y =, x = 1, x = 4, and y = 0 is revolved about the y – axis. (Answer: 247 C. u. )

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Q: -2 is a critical number of the function f(x) = /2x - x2, Select one: O True O False

A: The given function is  f(x)=sqrt(2x-x2)

Q: Solve the following initial-value problem. f′(x)=2 3√x+3x^2, f(0)=6

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Q: What are the two values of k closest to 1 - 4 for which S sin? (x +4) – cos² (x + 4) dæ has a value…

A: The solution is given in the next step.

Q: Activity 3: 1. ſx²dx 2. SVx?dx 3. S(x³+x²)dx 4. SVx*dx 5. fx-2dx 6. S tan?x dx 7. S(1 – cos u)du 8.…

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Q: Sketch the region bounded by the given lines. Then express the region's area as an iterated double…

A: We have to solve and choose from given option.

Q: y to find the derivatives of the following functions before we continue. a. F(x) = x³ + 2x2 + x b.…

A: a) F'(x) = 3x2 +4x +1  b) F'(x) = 3x2 +2x +1  c) F'(x) = 9x2+3

Q: Find and sketch the domain for the function. sin (xy) f(x,y) = y - 36 Find the domain of the…

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

Q: Solve 4 sin(2x) – 5 cos(x) = 0 for all solutions 0 < x < 2n %3D 5, 68 Give your answers accurate to…

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Q: An oil tanker aground on a reef is forming a circular oil slick about 0.1 foot thick. If the oil was…

A: We have to find dR/dt .

Q: Are the Following Vectors Linearly Dependent or Independent? 3) (0,1,0), (2,1,0), (3,4,7) Ans.…

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Q: The difference between two angles, how is the result of the same trigonometric function

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Q: 27T 3. x y2 and x + y = 2 is revolved about y = 1. (Answer: C. u.) 2

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Q: sin(x?) Evaluate lim 1+0- e2r – 2x – 1°

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Q: The edge of a cube was found to be 20 cm with a possible error in measurement of 0.2 cm. Use…

A: As we know the surface area of the cube is; S=6a2                            ...(1) Where 'a' is the…

Q: dªy d³y -4. dx4 „d²y -6· dy dx3+ 7 + 2y = e-* + xe¬× dx dx2

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Q: sin(x²) Evaluate lim 140- e2r – 2x – 1

A: Topic = Limits

Q: 4. (D2 – 5D + 6)y = 15sinx – 15cosx -

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Q: 7. Simplify and evaluate. (2x³y²)³ a) (x’y (9y)? b) for y=-2 (3y*)

A: Given: a)2x-3y23x3y-42b)9y23y-13

Q: Vx-a?

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Q: Write true if the statement is correct and false if the statement is incorrect. = V3x + 2 Given the…

A: As asked we can answer the question true or false with out explanation as below.

Q: Find the area of the triangle having vertices at (−2,3,1),(1,2,3) and (3,−1,2)

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Q: Evaluate the following integrals. 29 – 49 dy 2+ 49 а.

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Q: Find all the derivatives of the following functions f (x) = x° + 4x* + 3x° – x² + 6 - 1. 1 12 g(x) =…

A: Let's find.

Q: 1. Evaluate the following integrals. csc 0)(1+ sin² 0 + sin 0 cot² 0) do a.

A: To find out the integration.

Q: Question 8 Use differentials to find the approximate value of y: (2x 1)* when x = 0.98. O 0.88 O…

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Q: termine the follow a. S=dx x6

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Q: The area under the graph of f(x) = 3x2 between x = 2 andx = k is 504, where k > 2. Find the value of…

A: Given

Q: (b) perimeter of AABC ВС perimeter of ADEF EF 2 So perimeter of ADEF = 15cm 7.5 perimeter of ADEF 4

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Q: In the year 1985, a house was valued at $110,000. By the year 2005, the value had appreciated to…

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Q: Rationalize the denominator. Vx - 9 6/x

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Q: 4 sec t to evaluate the integral J 2-16 dx Use the substitution x = Note: Use C for an arbitrary…

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Q: At what rate is the diagonal of a cube increasing if its edges are increasing at a rate of 7.3 cm/s?…

A: As we know that; The diagonal length of the cube is: L=3a Where a is the edge of the cube. And The…

Q: Describe the end behavior of the graph of the function f (x) = 5(4)" - 10. For o, type in the word…

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Q: dx J Tx2 – 25

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Q: 2. Give the symmetric equations of the line l perpendicular to the plane T : 5x – 2y = z+4 and…

A: The vector perpendicular to the plane 5x-2y-z=4 is 5i-2j-k This allows us to write the point vector…