Question 7 Find the area enclosed by the curves y=2r², y=2\/x,x=- and x = 1 A 45/51 B 59/76 49/96 65/89

Q: Q2 Obtain the general solution for the following differential equation. (b) y" – 4y' + 3y = 3e2x +…

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Q: B) Find the limits by using L.Hopital rule : 7x 1. lim x-0 sin 2x х2-16 2. lim x-4 (Vx+5)-3

A: Given; (1). limx→07xsin2x

Q: 2/ Find the value of the limit: lim x/*,

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Q: Find the area enclosed by the curves y = y = 2 1- 9x2 2n B 3 D 6. [+

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Q: Q2) Convert the polar function r tan20 to cartesian. %3D

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Q: Find the value of V®dx 0.

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Q: The line given by r (t)=(14+5t, -3t, 1+7t) and the line given by r(t) =(3-3t, 5+2t, -2+4t).

A: Follow the procedure given below.

Q: Using "Numerical Differentiation (Forward Finite Difference)" Problem Solving f(x) = 2sinx - x3ex…

A: Given that the function is fx=2sinx-x3ex with h=0.002. It is required to find f'2 and f''2. The…

Q: Q3) Evaluate triple integral f, (x2 -y²)dz dx dy.

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Q: In x Sketch function f(x)= by finding all asymptotes, turning points, points of inflection and end…

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Q: Determine the conjugate radical of the expression -8+35. O-8 -35 O NE + 35

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Q: dx 4. S; x2Vx2-1

A: Given: I=∫dxx2x2-1   ...1 As we know that; The trigonometric identities; 1). sec2x=tan2x+1 2).…

Q: (x+a)² 3. Let f (x) where a is a constant and a -1. (Note if a = -1, then f(x) is a line %3D x-1…

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Q: d²y 2. Find the second derivative, dx² a. x = t² + 1 and y = t³ b. x = - t2 + 2 and y = sin(t+ 1)

A: Let's find.

Q: y = 2 ||

A: We have to find the derivative of the function y = 1-x2ex2

Q: Let f(x) = 2/x and g(x) = 4 - x2. Find the following. (a) (f+ g)(x) (b) (f- g)(x) (c) (f • g)(x) (d)…

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Q: dy Q4) Find for the following functions dx 1. y = 2x + e2x-1 2. y = sec x tan x 3. y = t2 + 2t t =…

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Q: 1+x+y dzdyax Jc JO Jo

A: To evaluate the given iterated integral.

Q: ||r(t) × r"(t)|| ||r"(t)||³ Use the formula k(t) = to find k(t). r(t) = eti+ej

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Q: A 4-pound weight stretches a spring 2 feet. The weight is released from rest 20 inches above the…

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Q: Find the area of the region under the graph of the following function. f(x) = 5xe−x from x = 5 to x…

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Q: dx 4. S

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Q: d Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating dt dt the product directly…

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Q: Question 7 Find the area enclosed by the curves y=2r², y=2x.x=- and x = 1 A) 45/51 B 65/89 59/76 D)…

A: Here is the solution

Q: Find exactly T(t) and N(t) for x = e'cost, y = e'sint, z = e' for t = 0. [Choose the correct…

A: Given problem:- Find exactly T(t) and N(t) for x = et cost, y = et sint, z = et for t = 0

Q: Use the matrix capabilities of a graphing utility to find the inverse of the matrix (if it exists).…

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Q: 1. Identify the type of conic section whose equation is given, then find the vertices and foci.…

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Q: 1 1. S dx х2-5х+6

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Q: Determine the value of 3A+5B if 10x2 + 25x +5 A Cx +B (x – 1)(x + 1)² (x+1)² 1 - |

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Q: Consider the function. x - 8 f(x) x + 3 Step 1 of 2: Find all values of x that correspond to…

A: The given rational function is: f(x)=x-8x+3      =x+3-11x+3…

Q: Find the net signed area between the graph of the function f(r) = -x-4 and the x-axis over the…

A: To find the area between the line and x axis.

Q: dy + 3x2 + 2y3 = 0 dx e) Solve (6x + 1)y?

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Q: Solve for the indicated higher-order partial derivatives, frx, fæy , fyy. f(x, y) = e" sin y + e"…

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Q: f(x,y) = 25 - x^2 - y^2 at the point P(3, 4). Use the Partial Limit Dervatives

A: Given problem:- f(x,y) = 25 - x2 - y2 at the point P(3, 4). Use the Partial Limit Derivatives

Q: An automobile traveling at the rate of 20 m/s is approaching an intersection. When the automobile is…

A: This question an be solved using the concept of rate of change of physical quantities.

Q: Find the equation of the tangent line to the following parametric equation at the given point. x =…

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Q: Find the area of the region bounded by: r = 5 – 3 sin 0

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Q: 15. S(x + 2)²dx

A: Solve the following

Q: 10 Consider the function f(z). 6. Let F(r) be the antiderivative of f(z) with F(1) 0. Then F(z)

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Q: 2x + 6 Consider the function f(x) = . For this function there are two important intervals: (– ∞, A)…

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Q: 3. Calculate the line integral S F - d7, where F = (x²y³, x³y?) and C is the path given by C 7(t) =…

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Q: Write an equation for the function graphed below. Use the smallest powers possible to meet the…

A: To find the equation of given graph.

Q: If possible, find AB and state the order of the result. (If not possible, enter IMPOSSIBLE.) -1 6 3…

A: Given A=-16-3504 & B=3209 To find AB:

Q: A pole that is 3653 feet long is leaning against a brick wall. The bottom of the pole is getting…

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Q: B. Solve the following problems using differentials and linear approximations. Show complete…

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Q: 439) Use the matrix capabilities of a graphing utility to solvecif possible) the systems of linedr…

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Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = 4t2 – 2 sin(5t)…

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Q: 00 (x - 3)" n n105n n=1

A: x=8

Q: 2. Estimate cos (– 0.1) + cos 4

A: As per given question  We have to solve above question

Q: Obtain the general solution for the following differential equation. (a) y" – (a + ß)y' + aßy = 0 (a…

A: To solve the higher order differential equation.