Find the arc length L of the graph of r(t). r(f) = t° i+ t j+V6r k, 3 <1 < 5 L = i

Q: Find the arc length L of the graph of r(t). r(t) = 10 cos(t)i+ 10 sin(t)j+ tk, 0<t< 2n

A: To find the arc length of the given graph.

Q: Find the area of the shaded region. The y=- Consider c=64. Enter the exact answer. ver. Area

A: To solve the following problem

Q: Use the power reduction formulas to rewrite the expression, sin2(6x)

A: Given query is to rewrite the expression.

Q: d Calculate r1(t) · r2(t)] and dt [ri(t) × r2(t)] first by differentiating dt the product directly…

A: In this question we have to find differentiation.

Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of f(x) x = 18 and a = 21. 3x…

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Q: Solve Nonhomogeneous Equations - Undetermined Coefficients (D^2 + 1)y = sinx

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Q: 5- S(tanx + secx)² dx

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Q: Q3/ Find the area of zone bounded by curves: y= x , y= 3x+8

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Q: For what values of a, if any, does the series shown below converge? 00 a 2 Σ n+6 n+9 n= 1 Select the…

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Q: 6. Given a 2-unit factor of 0.87 find each of the following: (round answers to 4 decimal places) a)…

A: Given :The 2-unit factor of 0.87.To find :The 4-unit factorThe 1-unit factorThe 1/3 -unit factor

Q: The critical numbers of the function f(x) = x³ – 6x2 are x = 0 and x = -4. Select one: True O False

A: Given; fx=x3-6x2   As we know that; To calculate the critical numbers of the function, f'x=0.   And…

Q: 5. S dx

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Q: The discrete exponential function is unrealistic and cannot happen in real life. True B False

A: Options (b) false is correct option. Because, Exponential function are realistic bcz exponential…

Q: Q3/ Find the area of zone bounded by curves: y= x? , y= 3x+8

A: Given :y=x2,  y=3x+8To find : The area of zone bounded by curves.

Q: The half-life of carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree shows…

A: Solving

Q: NG) Find T(t) and N(t) at the given point. T r(t) = 8 cos(t)i + 8 sin(t)j+ tk; t = T()= NE) -| ||

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Q: C. Sketch the graph of the following functions analytically. 8. f(x) = r2 – 4

A:

Q: (x3-4) 2. S dx x3+2x2+2x

A: To evalaute: I=∫x3-4x3+2x2+2xdx=∫1-2x2+2x+4x3+2x2+2xdx=∫dx-∫2x2+2x+4x3+2x2+2xdx

Q: f(x) = 2cos(3x−2) 1. What is the first derivative of the equation? 2. What is the second derivative…

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Q: 4. If f(t) = 3 sin(4t + 0.12) – 2 cos(3t – 0.72) determine f'(t) when t 3 - %3D

A: Solving

Q: Consider the differential equation y" – - 1ly" + 28y = 0 %3D

A:

Q: cosh? V 4-S dx Vx csch vx

A: We have to find given integral.

Q: We have 1 d (In(x² + 1)) : dx x2 + 1 Select one: O True O False

A: As we know that; The Chain rule; fgx'=f'gx·g'x The Power law; ddxxn=nxn-1 And ddxlnx=1x   Given;…

Q: The auxiliary equation for the differential equation y" – 4y" – 12y = 0 - is

A: The given problem can be solved as follows:

Q: f(x + Ax) - f(x) D. APPROXIMATE DERIVATIVES f (x) Ax 7.) y = x2 +7x – 10

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Q: dx 1-S; 4+x2

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Q: the exact arc length of the curvex = + 2) trom y 0to y r the exact answer.

A: arc length=∫ab(1+(dx/dy)^2)dx x=(y^2 +2)^(3/2)/(3) dx/dy=1/3*3/2*(y^2+2)^(3/2-1)2y…

Q: Find the arc length of the parametric curve. x = 4 cos(t), y = 4 sin(t), z = 3t; 0<t< T L =

A: Given parametric curvex=4 cost , y= 4 sint  , z=3t ;  0≤t≤π

Q: t 048 12 16 f(t)|32|29 25 23 19 Using the Riemann sums and this table, find the left and right sums…

A: Let's find.

Q: Question 2 of 10 Find the exact arc length of the curvex= + 2) trom y= 0to y 5. Enter the exact…

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Q: Determine whether the planes are parallel or identical. -5x + 2y – 8z = 6 10x – 4y + 16z = 11 The…

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Q: Q2/ Find the domain and range for the following functions 1) y = 2) y = x +! 3) y = 3+2 cDsx 4) y =…

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Q: cosh? Vx 4-S- dx Vx csch vx

A:

Q: Q3/ Find the area of zone bounded by curves: y= x? , y= 3x+8

A: To find the area of the region bounded between the given curves.

Q: 3. Compute the f(x, y) = 4x³ + 6xy² R=[1,3]x[-2,1]. iteration for the function on the rectangles

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Q: The auxiliary equation for the differential equation y" – 4y" – 12y = 0 is Select one: m – 4m2 – 12…

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Q: Hawad Findthe areas fak the fallowing regions 2 Area af the region insidethecircle (r=1) and outside…

A: Given

Q: x +1 Evaluate the integral | dr. x2+2x +3 1 1 (a) 4Vr2 + 2x + 3 + C 2Vx2 + 2x + 3 + C Vx2 + 2x + 3…

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Q: Activities in Logarithmic Differentiation Find the , evaluate for given x – values dx' (x-2)²/x+1 y…

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Q: . Solve the boundary value problem y" – 18y'+81y = 0, y(0) = -3, y(1) = 1.

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Q: Describe the graph of the equation. r = (5 – 21) i + 11tj O It is a plane in 2-space through the…

A: In this question we have to describe graph of equation.

Q: Solve using chain rule 1. y=(2x+1)(4x-3)^3 2. y=x √ 9-x^2

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Q: Given the differential equation y" - 6 x y' = 10 x %3D Using Reduction of Order and the letter "R"…

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Q: Find the area of the shaded region. The image is not y =

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Q: /13 3 Find the first four terms of the binomial series for the function (1+ 2x)°. The first term is

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Q: dx 1- S 4+x2

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is…

A: The given expression for the volume of a tetrahedron is; V=16u·v×w And The vertices are P-6,7,0,…

Q: uate the integral dx. /1+x

A: Given  jkjbb

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: Question 7 A cable of length L is cut into 2 pieces. One piece of the cable is used to form a square…

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